From 3f723f4ec210e8e836bc29f0a63c7fca37b50d73 Mon Sep 17 00:00:00 2001
From: "Ryan C. Cooper" <ryan.c.cooper@uconn.edu>
Date: Thu, 19 Jan 2017 12:08:15 -0500
Subject: [PATCH 01/10] lecture 2 notes

---
 lecture_01/lecture_01_notes.pdf | Bin 0 -> 26146 bytes
 lecture_02/README.md            | 174 ++++++++++
 lecture_02/lecture_02.ipynb     | 597 ++++++++++++++++++++++++++++++++
 lecture_02/notes.pdf            | Bin 0 -> 273422 bytes
 4 files changed, 771 insertions(+)
 create mode 100644 lecture_01/lecture_01_notes.pdf
 create mode 100644 lecture_02/README.md
 create mode 100644 lecture_02/lecture_02.ipynb
 create mode 100755 lecture_02/notes.pdf

diff --git a/lecture_01/lecture_01_notes.pdf b/lecture_01/lecture_01_notes.pdf
new file mode 100644
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diff --git a/lecture_02/README.md b/lecture_02/README.md
new file mode 100644
index 0000000..12365ce
--- /dev/null
+++ b/lecture_02/README.md
@@ -0,0 +1,174 @@
+
+# Solution to Form #1
+
+
+```octave
+[1,2,3]*[1;2;3]
+```
+
+    ans =
+    
+       14
+    
+
+
+
+```octave
+[1,2,3]*[1;2;3]=?
+```
+
+
+```octave
+
+```
+
+# The first source of error is roundoff error
+## Just storing a number in a computer requires rounding
+
+
+```octave
+fprintf('realmax = %1.20e\n',realmax)
+fprintf('realmin = %1.20e\n',realmin)
+fprintf('maximum relative error = %1.20e\n',eps)
+
+```
+
+    realmax = 1.79769313486231570815e+308
+    realmin = 2.22507385850720138309e-308
+    maximum relative error = 2.22044604925031308085e-16
+
+
+
+```octave
+s=1;
+for i=1:1000
+    s=s+eps/10;
+end
+s==1
+```
+
+    ans =  1
+
+
+# Freefall Model (revisited)
+## Octave solution (will run same on Matlab)
+
+Set default values in Octave for linewidth and text size
+
+
+```octave
+%plot --format svg
+```
+
+
+```octave
+set (0, "defaultaxesfontname", "Helvetica")
+set (0, "defaultaxesfontsize", 18)
+set (0, "defaulttextfontname", "Helvetica")
+set (0, "defaulttextfontsize", 18) 
+set (0, "defaultlinelinewidth", 4)
+```
+
+Define time from 0 to 12 seconds with `N` timesteps 
+function defined as `freefall`
+
+
+```octave
+function [v_analytical,v_terminal,t]=freefall(N)
+    t=linspace(0,12,N)';
+    c=0.25; m=60; g=9.81; v_terminal=sqrt(m*g/c);
+
+    v_analytical = v_terminal*tanh(g*t/v_terminal);
+    v_numerical=zeros(length(t),1);
+    delta_time =diff(t);
+    for i=1:length(t)-1
+        v_numerical(i+1)=v_numerical(i)+(g-c/m*v_numerical(i)^2)*delta_time(i);
+    end
+    % Print values near 0,2,4,6,8,10,12 seconds
+    indices = round(linspace(1,length(t),7));
+    fprintf('time (s)|vel analytical (m/s)|vel numerical (m/s)\n')
+    fprintf('-----------------------------------------------\n')
+    M=[t(indices),v_analytical(indices),v_numerical(indices)];
+    fprintf('%7.1f | %18.2f | %15.2f\n',M(:,1:3)');
+    plot(t,v_analytical,'-',t,v_numerical,'o-')
+end
+    
+```
+
+
+```octave
+[v_analytical,v_terminal,t]=freefall(120);
+```
+
+    time (s)|vel analytical (m/s)|vel numerical (m/s)
+    -----------------------------------------------
+        0.0 |               0.00 |            0.00
+        2.0 |              18.76 |           18.82
+        4.0 |              32.64 |           32.80
+        6.1 |              40.79 |           40.97
+        8.0 |              44.80 |           44.94
+       10.0 |              46.84 |           46.93
+       12.0 |              47.77 |           47.82
+
+
+
+![svg](output_13_1.svg)
+
+
+# Types of error
+## Freefall is example of "truncation error"
+### Truncation error results from approximating exact mathematical procedure
+
+We approximated the derivative as $\delta v/\delta t\approx\Delta v/\Delta t$
+
+Can reduce error by decreasing step size -> $\Delta t$=`delta_time`
+
+## Another example of truncation error is a Taylor series (or Maclaurin if centered at a=0)
+
+Taylor series:
+$f(x)=f(a)+f'(a)(x-a)+\frac{f''(a)}{2!}(x-a)^{2}+\frac{f'''(a)}{3!}(x-a)^{3}+...$
+
+We can approximate the next value in a function by adding Taylor series terms:
+
+|Approximation | formula |
+|---|-------------------------|
+|$0^{th}$-order | $f(x_{i+1})=f(x_{i})+R_{1}$ |
+|$1^{st}$-order | $f(x_{i+1})=f(x_{i})+f'(x_{i})h+R_{2}$ |
+|$2^{nd}$-order | $f(x_{i+1})=f(x_{i})+f'(x_{i})h+\frac{f''(x_{i})}{2!}h^{2}+R_{3}$|
+|$n^{th}$-order | $f(x_{i+1})=f(x_{i})+f'(x_{i})h+\frac{f''(x_{i})}{2!}h^{2}+...\frac{f^{(n)}}{n!}h^{n}+R_{n}$|
+
+Where $R_{n}=\frac{f^{(n+1)}(\xi)}{(n+1)!}h^{n+1}$ is the error associated with truncating the approximation at order $n$.
+
+The $n^{th}$-order approximation estimates that the unknown function, $f(x)$, is equal to an $n^{th}$-order polynomial. 
+
+In the Freefall example, we estimated the function with a $1^{st}$-order approximation, so 
+
+$v(t_{i+1})=v(t_{i})+v'(t_{i})(t_{i+1}-t_{i})+R_{1}$
+
+$v'(t_{i})=\frac{v(t_{i+1})-v(t_{i})}{t_{i+1}-t_{i}}-\frac{R_{1}}{t_{i+1}-t_{i}}$
+
+$\frac{R_{1}}{t_{i+1}-t_{i}}=\frac{v''(\xi)}{2!}(t_{i+1}-t_{i})$
+
+or the truncation error for a first-order Taylor series approximation is
+
+$\frac{R_{1}}{t_{i+1}-t_{i}}=O(\Delta t)$
+
+
+1. digital representation of a number is rarely exact
+
+2. arithmetic (+,-,/,\*) causes roundoff error
+
+
+```octave
+fprintf('%1.20f\n',double(pi))
+fprintf('%1.20f\n',single(pi))
+```
+
+    3.14159265358979311600
+    3.14159274101257324219
+
+
+
+```octave
+
+```
diff --git a/lecture_02/lecture_02.ipynb b/lecture_02/lecture_02.ipynb
new file mode 100644
index 0000000..3e0a9e6
--- /dev/null
+++ b/lecture_02/lecture_02.ipynb
@@ -0,0 +1,597 @@
+{
+ "cells": [
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "# Solution to Form #1"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 1,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "ans =\n",
+      "\n",
+      "   1   2   3\n",
+      "\n"
+     ]
+    }
+   ],
+   "source": [
+    "[1,2,3]"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 8,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [],
+   "source": [
+    "[1,2,3]*[1;2;3]=?"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {
+    "collapsed": true
+   },
+   "outputs": [],
+   "source": []
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "# The first source of error is roundoff error\n",
+    "## Just storing a number in a computer requires rounding"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 11,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "realmax = 1.79769313486231570815e+308\n",
+      "realmin = 2.22507385850720138309e-308\n",
+      "maximum relative error = 2.22044604925031308085e-16\n"
+     ]
+    }
+   ],
+   "source": [
+    "fprintf('realmax = %1.20e\\n',realmax)\n",
+    "fprintf('realmin = %1.20e\\n',realmin)\n",
+    "fprintf('maximum relative error = %1.20e\\n',eps)\n"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 13,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "ans =  1\r\n"
+     ]
+    }
+   ],
+   "source": [
+    "s=1;\n",
+    "for i=1:1000\n",
+    "    s=s+eps/10;\n",
+    "end\n",
+    "s==1"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "# Freefall Model (revisited)\n",
+    "## Octave solution (will run same on Matlab)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "Set default values in Octave for linewidth and text size"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 14,
+   "metadata": {
+    "collapsed": true
+   },
+   "outputs": [],
+   "source": [
+    "%plot --format svg"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 15,
+   "metadata": {
+    "collapsed": true
+   },
+   "outputs": [],
+   "source": [
+    "set (0, \"defaultaxesfontname\", \"Helvetica\")\n",
+    "set (0, \"defaultaxesfontsize\", 18)\n",
+    "set (0, \"defaulttextfontname\", \"Helvetica\")\n",
+    "set (0, \"defaulttextfontsize\", 18) \n",
+    "set (0, \"defaultlinelinewidth\", 4)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "Define time from 0 to 12 seconds with `N` timesteps \n",
+    "function defined as `freefall`"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 16,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [],
+   "source": [
+    "function [v_analytical,v_terminal,t]=freefall(N)\n",
+    "    t=linspace(0,12,N)';\n",
+    "    c=0.25; m=60; g=9.81; v_terminal=sqrt(m*g/c);\n",
+    "\n",
+    "    v_analytical = v_terminal*tanh(g*t/v_terminal);\n",
+    "    v_numerical=zeros(length(t),1);\n",
+    "    delta_time =diff(t);\n",
+    "    for i=1:length(t)-1\n",
+    "        v_numerical(i+1)=v_numerical(i)+(g-c/m*v_numerical(i)^2)*delta_time(i);\n",
+    "    end\n",
+    "    % Print values near 0,2,4,6,8,10,12 seconds\n",
+    "    indices = round(linspace(1,length(t),7));\n",
+    "    fprintf('time (s)|vel analytical (m/s)|vel numerical (m/s)\\n')\n",
+    "    fprintf('-----------------------------------------------\\n')\n",
+    "    M=[t(indices),v_analytical(indices),v_numerical(indices)];\n",
+    "    fprintf('%7.1f | %18.2f | %15.2f\\n',M(:,1:3)');\n",
+    "    plot(t,v_analytical,'-',t,v_numerical,'o-')\n",
+    "end\n",
+    "    "
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 19,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "time (s)|vel analytical (m/s)|vel numerical (m/s)\n",
+      "-----------------------------------------------\n",
+      "    0.0 |               0.00 |            0.00\n",
+      "    2.0 |              18.76 |           18.82\n",
+      "    4.0 |              32.64 |           32.80\n",
+      "    6.1 |              40.79 |           40.97\n",
+      "    8.0 |              44.80 |           44.94\n",
+      "   10.0 |              46.84 |           46.93\n",
+      "   12.0 |              47.77 |           47.82\n"
+     ]
+    },
+    {
+     "data": {
+      "image/svg+xml": [
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+       "</g>\n",
+       "\t<g id=\"gnuplot_plot_1a\"><title>gnuplot_plot_1a</title>\n",
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+       "\t</g>\n",
+       "\t<g id=\"gnuplot_plot_2a\"><title>gnuplot_plot_2a</title>\n",
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+       "</g>\n",
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+       "</g>\n",
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+       "</g>\n",
+       "</g>\n",
+       "</svg>"
+      ],
+      "text/plain": [
+       "<IPython.core.display.SVG object>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "[v_analytical,v_terminal,t]=freefall(120);"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "# Types of error\n",
+    "## Freefall is example of \"truncation error\"\n",
+    "### Truncation error results from approximating exact mathematical procedure"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "We approximated the derivative as $\\delta v/\\delta t\\approx\\Delta v/\\Delta t$\n",
+    "\n",
+    "Can reduce error by decreasing step size -> $\\Delta t$=`delta_time`"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Another example of truncation error is a Taylor series (or Maclaurin if centered at a=0)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "Taylor series:\n",
+    "$f(x)=f(a)+f'(a)(x-a)+\\frac{f''(a)}{2!}(x-a)^{2}+\\frac{f'''(a)}{3!}(x-a)^{3}+...$\n",
+    "\n",
+    "We can approximate the next value in a function by adding Taylor series terms:\n",
+    "\n",
+    "|Approximation | formula |\n",
+    "|---|-------------------------|\n",
+    "|$0^{th}$-order | $f(x_{i+1})=f(x_{i})+R_{1}$ |\n",
+    "|$1^{st}$-order | $f(x_{i+1})=f(x_{i})+f'(x_{i})h+R_{2}$ |\n",
+    "|$2^{nd}$-order | $f(x_{i+1})=f(x_{i})+f'(x_{i})h+\\frac{f''(x_{i})}{2!}h^{2}+R_{3}$|\n",
+    "|$n^{th}$-order | $f(x_{i+1})=f(x_{i})+f'(x_{i})h+\\frac{f''(x_{i})}{2!}h^{2}+...\\frac{f^{(n)}}{n!}h^{n}+R_{n}$|\n",
+    "\n",
+    "Where $R_{n}=\\frac{f^{(n+1)}(\\xi)}{(n+1)!}h^{n+1}$ is the error associated with truncating the approximation at order $n$.\n",
+    "\n",
+    "The $n^{th}$-order approximation estimates that the unknown function, $f(x)$, is equal to an $n^{th}$-order polynomial. \n",
+    "\n",
+    "In the Freefall example, we estimated the function with a $1^{st}$-order approximation, so \n",
+    "\n",
+    "$v(t_{i+1})=v(t_{i})+v'(t_{i})(t_{i+1}-t_{i})+R_{1}$\n",
+    "\n",
+    "$v'(t_{i})=\\frac{v(t_{i+1})-v(t_{i})}{t_{i+1}-t_{i}}-\\frac{R_{1}}{t_{i+1}-t_{i}}$\n",
+    "\n",
+    "$\\frac{R_{1}}{t_{i+1}-t_{i}}=\\frac{v''(\\xi)}{2!}(t_{i+1}-t_{i})$\n",
+    "\n",
+    "or the truncation error for a first-order Taylor series approximation is\n",
+    "\n",
+    "$\\frac{R_{1}}{t_{i+1}-t_{i}}=O(\\Delta t)$\n"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "1. digital representation of a number is rarely exact\n",
+    "\n",
+    "2. arithmetic (+,-,/,\\*) causes roundoff error"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 20,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "3.14159265358979311600\n",
+      "3.14159274101257324219\n"
+     ]
+    }
+   ],
+   "source": [
+    "fprintf('%1.20f\\n',double(pi))\n",
+    "fprintf('%1.20f\\n',single(pi))"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {
+    "collapsed": true
+   },
+   "outputs": [],
+   "source": []
+  }
+ ],
+ "metadata": {
+  "kernelspec": {
+   "display_name": "Octave",
+   "language": "octave",
+   "name": "octave"
+  },
+  "language_info": {
+   "file_extension": ".m",
+   "help_links": [
+    {
+     "text": "MetaKernel Magics",
+     "url": "https://github.com/calysto/metakernel/blob/master/metakernel/magics/README.md"
+    }
+   ],
+   "mimetype": "text/x-octave",
+   "name": "octave",
+   "version": "0.19.14"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 2
+}
diff --git a/lecture_02/notes.pdf b/lecture_02/notes.pdf
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From e6166c345e8af7341bf1a65a60f873386b1a23dd Mon Sep 17 00:00:00 2001
From: "Ryan C. Cooper" <ryan.c.cooper@uconn.edu>
Date: Thu, 19 Jan 2017 12:19:28 -0500
Subject: [PATCH 02/10] HW 1 add collaborator

---
 HW1/README.md |   4 ++++
 HW1/g9.png    | Bin 0 -> 78564 bytes
 2 files changed, 4 insertions(+)
 create mode 100644 HW1/g9.png

diff --git a/HW1/README.md b/HW1/README.md
index 426c9c5..bb1c7b4 100644
--- a/HW1/README.md
+++ b/HW1/README.md
@@ -55,3 +55,7 @@
         vii. Paste this into the Homework #1 Google form reponse.
         (https://goo.gl/forms/jINjsioRLwQOiYtl2)[https://goo.gl/forms/jINjsioRLwQOiYtl2]
 
+![Step 9](g9.png)
+
+        viii. Click on the gear for "Settings" then "Collaborators" on the left menu. Add
+        `rcc02007` (Ryan C. Cooper) as a collaborator. 
diff --git a/HW1/g9.png b/HW1/g9.png
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From 88f2c758bdfad34a22abe59fb52de2fbb7d0d12e Mon Sep 17 00:00:00 2001
From: "Ryan C. Cooper" <ryan.c.cooper@uconn.edu>
Date: Thu, 19 Jan 2017 15:15:00 -0500
Subject: [PATCH 03/10] office hours updated

---
 README.md                 |   2 +-
 lecture_02/lecture_02.pdf | Bin 0 -> 126338 bytes
 2 files changed, 1 insertion(+), 1 deletion(-)
 create mode 100644 lecture_02/lecture_02.pdf

diff --git a/README.md b/README.md
index a7c930e..ca1565e 100644
--- a/README.md
+++ b/README.md
@@ -19,7 +19,7 @@ matlab/octave functions and programming best practices.
 
 **Instructor**: Prof. Ryan C. Cooper (ryan.c.cooper@uconn.edu)
 
-**Office hours**: Fridays 10am-12pm in Engineering II room 315
+**Office hours**: Mon 2:30-4:30pm and Thur 11am-1pm in Engineering II room 315
 
 ## Teaching Assistants:
 - Graduate: **TBD**
diff --git a/lecture_02/lecture_02.pdf b/lecture_02/lecture_02.pdf
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HcmV?d00001


From afbd43c297271784433a22621a71361354da0d29 Mon Sep 17 00:00:00 2001
From: "Ryan C. Cooper" <ryan.c.cooper@uconn.edu>
Date: Tue, 24 Jan 2017 11:01:13 -0500
Subject: [PATCH 04/10] welcome to Peiyu

---
 README.md | 4 ++--
 1 file changed, 2 insertions(+), 2 deletions(-)

diff --git a/README.md b/README.md
index ca1565e..eebd665 100644
--- a/README.md
+++ b/README.md
@@ -22,8 +22,8 @@ matlab/octave functions and programming best practices.
 **Office hours**: Mon 2:30-4:30pm and Thur 11am-1pm in Engineering II room 315
 
 ## Teaching Assistants:
-- Graduate: **TBD**
-- Office hours: 2 hours / week in office **TBD**
+- Graduate: Peiyu Zhang <peiyu.zhang@uconn.edu>
+- Office hours: 2 hours / week 
 
 **Prerequisite:** CE 3110, MATH 2410Q 
 

From 3f676141d42c2570d286828a51a0a990d9464b88 Mon Sep 17 00:00:00 2001
From: "Ryan C. Cooper" <ryan.c.cooper@uconn.edu>
Date: Wed, 25 Jan 2017 21:01:03 -0500
Subject: [PATCH 05/10] added lectures 3 and 4

---
 lecture_03/file.txt         |    5 +
 lecture_03/lecture_03.ipynb | 6077 +++++++++++++++++++++++++++++++++++
 lecture_03/lecture_03.md    | 1447 +++++++++
 lecture_03/octave-workspace |  Bin 0 -> 28302 bytes
 lecture_03/output_58_0.png  |  Bin 0 -> 17421 bytes
 lecture_03/output_63_0.svg  |  270 ++
 lecture_03/output_64_0.svg  | 1632 ++++++++++
 lecture_03/output_65_0.svg  | 2146 +++++++++++++
 lecture_04/lecture_4.md     |  309 ++
 lecture_04/myscript.m       |   11 +
 lecture_04/output_10_0.png  |  Bin 0 -> 29697 bytes
 lecture_04/output_11_0.png  |  Bin 0 -> 64822 bytes
 lecture_04/output_12_0.png  |  Bin 0 -> 17167 bytes
 lecture_04/output_20_0.png  |  Bin 0 -> 20897 bytes
 lecture_04/output_24_0.png  |  Bin 0 -> 19815 bytes
 lecture_04/output_5_0.png   |  Bin 0 -> 17993 bytes
 16 files changed, 11897 insertions(+)
 create mode 100644 lecture_03/file.txt
 create mode 100644 lecture_03/lecture_03.ipynb
 create mode 100644 lecture_03/lecture_03.md
 create mode 100644 lecture_03/octave-workspace
 create mode 100644 lecture_03/output_58_0.png
 create mode 100644 lecture_03/output_63_0.svg
 create mode 100644 lecture_03/output_64_0.svg
 create mode 100644 lecture_03/output_65_0.svg
 create mode 100644 lecture_04/lecture_4.md
 create mode 100644 lecture_04/myscript.m
 create mode 100644 lecture_04/output_10_0.png
 create mode 100644 lecture_04/output_11_0.png
 create mode 100644 lecture_04/output_12_0.png
 create mode 100644 lecture_04/output_20_0.png
 create mode 100644 lecture_04/output_24_0.png
 create mode 100644 lecture_04/output_5_0.png

diff --git a/lecture_03/file.txt b/lecture_03/file.txt
new file mode 100644
index 0000000..0fb2c92
--- /dev/null
+++ b/lecture_03/file.txt
@@ -0,0 +1,5 @@
+computational mechanics
+the dog had 4 legs and weighed 10.0 lbs
+are you awake?computational mechanics
+the dog had 4 legs and weighed 10.0 lbs
+are you awake?
\ No newline at end of file
diff --git a/lecture_03/lecture_03.ipynb b/lecture_03/lecture_03.ipynb
new file mode 100644
index 0000000..e205d15
--- /dev/null
+++ b/lecture_03/lecture_03.ipynb
@@ -0,0 +1,6077 @@
+{
+ "cells": [
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "# Matlab basic use\n",
+    "## 1- the environment, path and working directory"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "Matlab environment can be called by:\n",
+    "1. Starting the matlab executable (the gui)\n",
+    "2. Starting a jupyter notebook with Matlab kernel\n",
+    "3. Starting matlab with command-line interface (no gui)\n",
+    "\n",
+    "The main requirement is that matlab kernel (main matlab program) is running and accepting commands\n",
+    "\n",
+    "When you start, you can call matlab built-in functions or anything you write that is in your `MATLABPATH` or working directory (`pwd`)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 1,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "MATLABPATH\n",
+      "\n",
+      "\t/usr/local/lib/python2.7/dist-packages/matlab_kernel/toolbox\n",
+      "\t/usr/local/lib/python2.7/dist-packages/pymatbridge/matlab\n",
+      "\t/usr/local/lib/python2.7/dist-packages/pymatbridge/matlab/usrprog\n",
+      "\t/usr/local/lib/python2.7/dist-packages/pymatbridge/matlab/util\n",
+      "\t/usr/local/lib/python2.7/dist-packages/pymatbridge/matlab/util/json_v0.2.2\n",
+      "\t/usr/local/lib/python2.7/dist-packages/pymatbridge/matlab/util/json_v0.2.2/json\n",
+      "\t/usr/local/lib/python2.7/dist-packages/pymatbridge/matlab/util/json_v0.2.2/json/java\n",
+      "\t/usr/local/lib/python2.7/dist-packages/pymatbridge/matlab/util/json_v0.2.2/test\n",
+      "\t/home/ryan/Documents/MATLAB\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/matlab/strfun\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/matlab/datatypes\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/matlab/elfun\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/matlab/ops\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/matlab/timefun\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/matlab/elmat\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/matlab/datafun\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/matlab/iofun\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/matlab/mvm\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/matlab/randfun\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/matlab/funfun\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/matlab/general\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/matlab/polyfun\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/matlab/matfun\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/matlab/lang\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/matlab/specfun\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/matlab/sparfun\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/matlab/images\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/matlab/testframework/performance\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/matlab/testframework/parallel\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/matlab/optimfun\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/matlab/testframework/ext\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/matlab/guide\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/matlab/testframework/measurement\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/matlab/icons\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/matlab/demos\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/matlab/helptools\n",
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+      "\t/usr/local/MATLAB/R2016a/toolbox/database/vqb\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/map/mapdemos\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/shared/cxxfe_mi/cxxfe_mi\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/stats/mlearnapp\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/shared/eda/fpgaautomation\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/shared/eda/fpgaautomation/obsolete\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/comm/commdemos\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/physmod/pe/pedemos\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/slrequirements\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/shared/slcontrollib\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/geoweb/geoweb\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/shared/configset\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/comm/cdma2000\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/signal/signalanalyzer\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/robotics/robotics\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/shared/can\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/shared/can/canblks\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/shared/can/canmasks\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/shared/can/canmex\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/simulink/fixedandfloat\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/simulink/fixedandfloat/obsolete\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/physmod/common/data/mli/m\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/physmod/sm/foundation/mech\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/imaq/imaq\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/physmod/pm_visimpl/pm_visimpl\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/bioinfo/biodemos\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/shared/sigbldr\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/dsp/dsp\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/dsp/dsputilities\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/dsp/dsputilities/dspinit\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/dsp/dsputilities/dspmex\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/dsp/dsp/compiled\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/symbolic/symbolic\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/optim/optimdemos\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/curvefit/curvefitdemos\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/shared/instrument\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/physmod/common/external/library/m\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/simulink/simulink/slproject\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/simulink/simulink/slproject/menu\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/physmod/mech/mech\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/physmod/mech/importer\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/shared/simulation_data_repository\n",
+      "\t/usr/local/MATLAB/R2016a/help/toolbox/control/examples\n",
+      "\t/usr/local/MATLAB/R2016a/help/toolbox/vision/examples\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/physmod/powersys/powerdemo\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/physmod/powersys/powerdemo/meascontrol\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/physmod/powersys/powerdemo/power_utility\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/physmod/sm/ssci/m\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/simulink/sl_async_streaming\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/shared/simulink/slcheck_services\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/shared/measure\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/physmod/powersys/powerdemo/simple\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/coder/trace\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/compiler_sdk\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/shared/diagnostic\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/physmod/powersys/templates\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/sldv/sldvdemos\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/simulink/sta/repository\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/simulink/sta/repository/util\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/stats/stats\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/stats/classreg\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/stats/clustering\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/hdlcoder/hdllib/ml_lib\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/simulink/simulink/iodata/ioformat\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/matlab/audiovideo\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/matlab/webcam\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/shared/mldatx\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/robust/robust\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/robust/rctlmi\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/robust/rctutil\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/robust/rctobsolete/robust\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/robust/rctobsolete/lmi\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/robust/rctobsolete/mutools/commands\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/robust/rctobsolete/mutools/subs\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/shared/codeinstrum/codeinstrum\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/control/control\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/control/ctrlmodels\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/control/ctrlanalysis\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/control/ctrldesign\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/control/ctrlplots\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/control/ctrlguis\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/control/ctrlobsolete\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/control/ctrlutil\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/physmod/simscape/compiler/sli/m\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/shared/dastudio\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/stats/statsdemos\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/shared/curvefitlib\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/shared/slpir\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/shared/eda/fpgabase\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/physmod/common/dataservices/mli/m\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/shared/hdlshared/hdlshared_gui\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/shared/eda/hdlparser\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/physmod/network_engine/network_engine\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/target/extensions/processor/intelhost/tfl\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/coder/coverage\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/shared/dsp/hdl\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/matlab/spf/matlabhost\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/mpc/mpc\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/mpc/mpcguis\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/mpc/mpcobsolete\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/mpc/mpcutils\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/simulink/slexportprevious\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/sl3d/sl3d\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/comm/comm\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/comm/commutilities/comminit\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/comm/commutilities/commmex\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/comm/commutilities\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/comm/commdeprecated\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/comm/comm/compiled\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/coder/connectivity\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/rtw/targets/connectivity\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/simulink/slhistory\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/physmod/simscape/templates\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/shared/spreadsheet\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/fixpoint\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/fixpoint/fpca\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/robotics/ros\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/physmod/ne_sli/ne_sli\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/shared/dsp/simulink/dsp\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/matlab/system\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/shared/eda/fil\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/shared/eda/fil/filmapi\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/coder/rtiostream\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/pde\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/physmod/powersys/powersys\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/shared/hotpluglib\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/shared/multimedia\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/shared/testmeaslib/graphics\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/matlab/addons_toolbox\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/shared/imageslib\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/physmod/pm_sli/pm_sli\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/shared/dastudio/seqdiagram\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/physmod/sm/templates\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/physmod/sm/gui/m\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/ident/ident\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/ident/nlident\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/ident/idobsolete\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/ident/idguis\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/ident/idutils\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/ident/idrecursive\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/ident/idhelp\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/physmod/powersys/powerdemo/machines\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/target/extensions/operatingsystem/windows/blks\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/target/extensions/operatingsystem/windows/blks/masks\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/target/extensions/operatingsystem/windows/blks/mex\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/shared/networklib\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/physmod/sm/sli/m\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/physmod/sm/sm/m\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/shared/advisor\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/shared/filterdesignlib\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/matlab/connector/connector\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/idelink/foundation\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/idelink/foundation/util\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/idelink/foundation/errorhandler\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/idelink/foundation/xmakefile\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/idelink/foundation/hookpoints\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/shared/comparisons\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/signal/sigdemos\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/matlab/configtools\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/simbio/simbio\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/matlab/external/interfaces/python\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/shared/m3i\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/matlab/toolstrip\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/dsp/dspdeployabledemos\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/slvnv/styleguide\n",
+      "\t/usr/local/MATLAB/R2016a/help/toolbox/robust/examples\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/shared/deviceplugindetection\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/physmod/simscape/compiler/mli/m\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/physmod/gui/gfx/m\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/physmod/sm/import/m\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/compiler/java\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/physmod/pe/utils/m\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/rtw/rtw\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/coder/foundation\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/coder/foundation/build\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/coder/foundation/build/tools/registry\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/coder/foundation/tfl\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/coder/foundation/tfl/AUTOSAR/AUTOSAR4p0/IFX\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/coder/foundation/tfl/AUTOSAR/AUTOSAR4p0/IFL\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/coder/foundation/tfl/gui\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/coder/foundation/templates\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/shared/simtargets\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/physmod/mech/mechdemos\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/shared/maputils\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/coder/foundation/passmanager\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/simulink/simulink/iodata/iomap\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/fininst/fininstdemos\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/nnet\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/nnet/nncontrol\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/nnet/nnet\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/nnet/nnet/nnadapt\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/nnet/nnet/nndatafun\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/nnet/nnet/nnderivative\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/nnet/nnet/nndistance\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/nnet/nnet/nndivision\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/nnet/nnet/nninitlayer\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/nnet/nnet/nninitnetwork\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/nnet/nnet/nninitweight\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/nnet/nnet/nnlearn\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/nnet/nnet/nnnetfun\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/nnet/nnet/nnnetinput\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/nnet/nnet/nnnetwork\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/nnet/nnet/nnperformance\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/nnet/nnet/nnplot\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/nnet/nnet/nnprocess\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/nnet/nnet/nnsearch\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/nnet/nnet/nntopology\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/nnet/nnet/nntrain\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/nnet/nnet/nntransfer\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/nnet/nnet/nnweight\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/nnet/nnguis\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/nnet/nnobsolete\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/nnet/nnutils\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/matlab/addons_product\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/shared/tracking/trackinglib\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/shared/simulink/sysarch/sysarch\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/shared/slreportgen/reportexplorer\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/coder/embeddedcoder_templates\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/coder/wizard\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/physmod/sm/core/m\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/robotics/robotexamples\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/robotics/robotexamples/ros\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/robotics/robotexamples/ros/helpers\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/robotics/robotexamples/robotalgs\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/robotics/robotexamples/robotalgs/helpers\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/robotics/robotexamples/robotcore\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/robotics/robotexamples/robotcore/helpers\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/robotics/robotexamples/robotsimulink\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/robotics/robotexamples/robotsimulink/helpers\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/shared/controllib/engine\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/shared/controllib/engine/numerics\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/shared/controllib/engine/options\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/shared/controllib/engine/optim\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/shared/controllib/engine/blocks\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/dsp/filterdesign\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/finance/findemos\n",
+      "\t/usr/local/MATLAB/R2016a/toolbox/physmod/powersys/facts/facts\n"
+     ]
+    }
+   ],
+   "source": [
+    "path"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 2,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "ans =\n",
+      "\n",
+      "/home/ryan/Documents/UConn/ME3255/me3255_S2017/lecture_03\n"
+     ]
+    }
+   ],
+   "source": [
+    "pwd"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "\n",
+    "path"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Assignments (`=`-operator)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "Matlab is interpreted language so each line of code (either saved text file or command-line) is executed as a standalone command\n",
+    "\n",
+    "These are reffered to \"scripts\""
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 3,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "ans =\n",
+      "\n",
+      "    40\n"
+     ]
+    }
+   ],
+   "source": [
+    "a=10; % line one assigns a to 10\n",
+    "b=a*3; % line two assigns b to 10 times 3 by calling 'a' from line one\n",
+    "a+b % line three does not assign anything directly, but leaving off the \";\" prints the result\n",
+    "    % ans"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "Matlab has a number of \"objects\" that you can assign to variables\n",
+    "1. arrays (vectors and matrices `[`...`]`) \n",
+    "2. strings (text `\"`...`\"` )\n",
+    "3. cells (combination of strings, text, even function calls `{`...`}`)\n",
+    "3. functions (both built-in, defined or developed)\n",
+    "4. and more... (classes defined by `classdef` - you can create your own object to help organize data)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "### 1- Arrays"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "Default in matlab is that when you assign a value to a variable, it is stored as an array\n",
+    "\n",
+    "arrays are N x M x ... values of integers or floating point numbers or complex integers/floating point numbers\n",
+    "\n",
+    "Use the parantheses to access values in an array `...(n,m)`"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 4,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "ans =\n",
+      "\n",
+      "     1\n"
+     ]
+    }
+   ],
+   "source": [
+    "a=10; % a is 1x1 array where a(1,1)==10\n",
+    "a(1,1)==10\n"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 5,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "\u001b[0;31mIndex exceeds matrix dimensions.\n",
+      "\u001b[0m"
+     ]
+    }
+   ],
+   "source": [
+    "a(2)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 10,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "A =\n",
+      "\n",
+      "     1     2     3\n",
+      "     4     5     6\n",
+      "     7     8     9\n",
+      "    10    11    12\n",
+      "\n",
+      "size of A is 4 x 3\n",
+      "\n",
+      "ans =\n",
+      "\n",
+      "     7\n",
+      "\n",
+      "\n",
+      "ans =\n",
+      "\n",
+      "     5\n"
+     ]
+    }
+   ],
+   "source": [
+    "A = [1 2 3;4,5,6;7,8,9;10,11,12]\n",
+    "fprintf('size of A is %i x %i\\n',size(A))\n",
+    "A(3,1)\n",
+    "A(6)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "vectors are either 1xN or Nx1 arrays for row and column"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 11,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "v_row =\n",
+      "\n",
+      "     1     2     3\n",
+      "\n",
+      "\n",
+      "v_column =\n",
+      "\n",
+      "     1\n",
+      "     2\n",
+      "     3\n"
+     ]
+    }
+   ],
+   "source": [
+    "v_row = [1,2,3] %row vector\n",
+    "v_column = [1;2;3] %column vector\n"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "Matrices are MxN arrays\n",
+    "the `:`-symbol can substitute for a counting"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 13,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "ans =\n",
+      "\n",
+      "     1     2     3\n"
+     ]
+    }
+   ],
+   "source": [
+    "A(1,:) % the colon assumes you want the first value, 1, counting up by 1 to the last value, 4"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "You can also use every 2nd value or any other integer up to `end` which is the largest value of that row or column of the array"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 14,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "ans =\n",
+      "\n",
+      "     1\n",
+      "     7\n"
+     ]
+    }
+   ],
+   "source": [
+    "A(1:2:end,1) % you can also use `end` "
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 15,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "ans =\n",
+      "\n",
+      "     1\n",
+      "     4\n",
+      "     7\n",
+      "    10\n",
+      "     2\n",
+      "     5\n",
+      "     8\n",
+      "    11\n",
+      "     3\n",
+      "     6\n",
+      "     9\n",
+      "    12\n"
+     ]
+    }
+   ],
+   "source": [
+    "A(:)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "In general, arrays can be any size \n",
+    "\n",
+    "take rolling 4 die and determining the sum of the components"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 16,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [],
+   "source": [
+    "A_6666 = zeros(6,6,6,6); %make a 6 x 6 x 6 x 6 array (1296 different values)\n",
+    "for i=1:6\n",
+    "    for j=1:6\n",
+    "        for k=1:6\n",
+    "            for l=1:6\n",
+    "                A_6666(i,j,k,l)=i+j+k+l; % each value is the sum of the indices\n",
+    "            end\n",
+    "        end\n",
+    "    end\n",
+    "end\n",
+    "            "
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 18,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "ans =\n",
+      "\n",
+      "    14\n",
+      "\n",
+      "\n",
+      "ans =\n",
+      "\n",
+      "    3.4170\n"
+     ]
+    }
+   ],
+   "source": [
+    "mean(A_6666(:))\n",
+    "std(A_6666(:))"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 19,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "ans =\n",
+      "\n",
+      "    12\n"
+     ]
+    }
+   ],
+   "source": [
+    "A_6666(1,4,2,5)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Cells combine different size arrays and text\n",
+    "### but, you cannot use math operators 'binary operators'"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 20,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [],
+   "source": [
+    "C={};\n",
+    "C{1}=linspace(0,1,10);\n",
+    "C{2}=linspace(0,1,3);\n",
+    "C{'z'}='holy cow';"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 26,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "ans =\n",
+      "\n",
+      "    3.5185\n"
+     ]
+    }
+   ],
+   "source": [
+    "C{1}*C{1}'"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Strings can be combined and printed"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 30,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "ans =\n",
+      "\n",
+      "computational mechanics\n"
+     ]
+    }
+   ],
+   "source": [
+    "string1 = 'computational'; string2 = 'mechanics';\n",
+    "[string1, ' ', string2]"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "use `fprintf` to format strings and numbers for output and `sprintf` to save variables\n"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 32,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "computational mechanics\n",
+      "\n",
+      "\n",
+      "string =\n",
+      "\n",
+      "the dog had 4 legs and weighed 10.0 lbs\n"
+     ]
+    }
+   ],
+   "source": [
+    "fprintf([string1,' ',string2,'\\n\\n'])\n",
+    "string = sprintf('the dog had %i legs and weighed %1.1f lbs',4,10.0)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "the `\\` signifies a special character e.g. `\\n` = newline, `\\t` = tab\n",
+    "\n",
+    "to actually print the \"\\\", use `\\\\`"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 33,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "\\\n"
+     ]
+    }
+   ],
+   "source": [
+    "fprintf('\\\\')"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## This is helpful to create reports of computed data"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 36,
+   "metadata": {
+    "collapsed": false,
+    "scrolled": true
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "ans =\n",
+      "\n",
+      "    23\n",
+      "\n",
+      "\n",
+      "ans =\n",
+      "\n",
+      "     1\n",
+      "\n",
+      "\n",
+      "ans =\n",
+      "\n",
+      "    39\n",
+      "\n",
+      "\n",
+      "ans =\n",
+      "\n",
+      "     1\n",
+      "\n",
+      "\n",
+      "ans =\n",
+      "\n",
+      "    14\n"
+     ]
+    }
+   ],
+   "source": [
+    "%fid = fopen('file.txt','w');\n",
+    "fprintf(fid,[string1, ' ', string2])\n",
+    "fprintf(fid,'\\n')\n",
+    "fprintf(fid,string)\n",
+    "fprintf(fid,'\\n')\n",
+    "fprintf(fid,'are you awake?')"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Math operators (=, +, -, /, *, ^)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "Because matlab assumes all variables are matrices, then all operators are matrix operations"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 14,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "ans =  20\r\n"
+     ]
+    }
+   ],
+   "source": [
+    "a+a % add two 1x1 arrays"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 15,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "ans =\n",
+      "\n",
+      "    2    4    6\n",
+      "    8   10   12\n",
+      "   14   16   18\n",
+      "   20   22   24\n",
+      "\n"
+     ]
+    }
+   ],
+   "source": [
+    "A+A % add two 4 x 3 arrays"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 37,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "ans =\n",
+      "\n",
+      "    14    32    50    68\n",
+      "    32    77   122   167\n",
+      "    50   122   194   266\n",
+      "    68   167   266   365\n"
+     ]
+    }
+   ],
+   "source": [
+    "A*A'"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 39,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "ans =\n",
+      "\n",
+      "     1     4     9\n",
+      "    16    25    36\n",
+      "    49    64    81\n",
+      "   100   121   144\n"
+     ]
+    }
+   ],
+   "source": [
+    "A.^2"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 40,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "ans =\n",
+      "\n",
+      "     1     4     9\n",
+      "    16    25    36\n",
+      "    49    64    81\n",
+      "   100   121   144\n"
+     ]
+    }
+   ],
+   "source": [
+    "A.*A"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 44,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "[\b> In pymat_eval (line 31)\n",
+      "  In matlabserver (line 24)]\b \n",
+      "[\bWarning: Rank deficient, rank = 2, tol =  1.696862e-14.]\b \n",
+      "\n",
+      "ans =\n",
+      "\n",
+      "    1.0000         0         0   -0.0000\n",
+      "    0.6667         0         0    0.3333\n",
+      "    0.3333         0         0    0.6667\n",
+      "    0.0000         0         0    1.0000\n"
+     ]
+    }
+   ],
+   "source": [
+    "A/A"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 45,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "/   Slash or right matrix divide.\n",
+      "    A/B is the matrix division of B into A, which is roughly the\n",
+      "    same as A*INV(B) , except it is computed in a different way.\n",
+      "    More precisely, A/B = (B'\\A')'. See MLDIVIDE for details.\n",
+      " \n",
+      "    C = MRDIVIDE(A,B) is called for the syntax 'A / B' when A or B is an\n",
+      "    object.\n",
+      " \n",
+      "    See also MLDIVIDE, RDIVIDE, LDIVIDE.\n",
+      "\n",
+      "    Reference page in Doc Center\n",
+      "       doc mrdivide\n",
+      "\n",
+      "    Other functions named mrdivide\n",
+      "\n",
+      "       codistributed/mrdivide    gf/mrdivide          laurpoly/mrdivide\n",
+      "       duration/mrdivide         gpuArray/mrdivide    StaticModel/mrdivide\n",
+      "       DynamicSystem/mrdivide    LagOp/mrdivide       timeseries/mrdivide\n",
+      "       fints/mrdivide\n"
+     ]
+    }
+   ],
+   "source": [
+    "help /"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "To accomplish one-by-one operations, need to include a `.`"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 21,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "ans =\n",
+      "\n",
+      "   1   1   1\n",
+      "   1   1   1\n",
+      "   1   1   1\n",
+      "   1   1   1\n",
+      "\n"
+     ]
+    }
+   ],
+   "source": [
+    "A./A"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "But, for 1x1 arrays, these are considered scalars and you get a free-pass"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 22,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "ans =\n",
+      "\n",
+      "    10    20    30\n",
+      "    40    50    60\n",
+      "    70    80    90\n",
+      "   100   110   120\n",
+      "\n"
+     ]
+    }
+   ],
+   "source": [
+    "a*A % where a=10 and A is 1:12 in a 3 x 4 matrix"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "Some built in Matlab functions (e.g. the reasons to run Matlab)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 49,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "t_linear =\n",
+      "\n",
+      "  Columns 1 through 7\n",
+      "\n",
+      "         0    0.1000    0.2000    0.3000    0.4000    0.5000    0.6000\n",
+      "\n",
+      "  Columns 8 through 11\n",
+      "\n",
+      "    0.7000    0.8000    0.9000    1.0000\n"
+     ]
+    }
+   ],
+   "source": [
+    "t_linear=linspace(0,1,11)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 46,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "t_log =\n",
+      "\n",
+      "     1    10   100\n"
+     ]
+    }
+   ],
+   "source": [
+    "t_log = logspace(0,2,3) % log interval from 10^0 to 10^2 split into 3 values"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 25,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "'logspace' is a function from the file /usr/share/octave/4.0.0/m/general/logspace.m\n",
+      "\n",
+      " -- Function File: logspace (A, B)\n",
+      " -- Function File: logspace (A, B, N)\n",
+      " -- Function File: logspace (A, pi, N)\n",
+      "     Return a row vector with N elements logarithmically spaced from\n",
+      "     10^A to 10^B.\n",
+      "\n",
+      "     If N is unspecified it defaults to 50.\n",
+      "\n",
+      "     If B is equal to pi, the points are between 10^A and pi, _not_ 10^A\n",
+      "     and 10^pi, in order to be compatible with the corresponding MATLAB\n",
+      "     function.\n",
+      "\n",
+      "     Also for compatibility with MATLAB, return the second argument B if\n",
+      "     fewer than two values are requested.\n",
+      "\n",
+      "     See also: linspace.\n",
+      "\n",
+      "Additional help for built-in functions and operators is\n",
+      "available in the online version of the manual.  Use the command\n",
+      "'doc <topic>' to search the manual index.\n",
+      "\n",
+      "Help and information about Octave is also available on the WWW\n",
+      "at http://www.octave.org and via the help@octave.org\n",
+      "mailing list.\n"
+     ]
+    }
+   ],
+   "source": [
+    "help logspace"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## When using the command prompt, anything in your path or working directory can be run either as a script, function or class (to define objects)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 30,
+   "metadata": {
+    "collapsed": true
+   },
+   "outputs": [],
+   "source": [
+    "%myscript"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 31,
+   "metadata": {
+    "collapsed": true
+   },
+   "outputs": [],
+   "source": [
+    "%plot --format svg"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "When using the GUI, your command history is saved, but it is better to save your work either as a script or a function or combination of both\n",
+    "\n",
+    "Creating a default graph script:"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 50,
+   "metadata": {
+    "collapsed": true
+   },
+   "outputs": [],
+   "source": [
+    "set(0, 'defaultAxesFontSize', 16)\n",
+    "set(0,'defaultTextFontSize',14)\n",
+    "set(0,'defaultLineLineWidth',3)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 51,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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IsrIy41QFAGB+mMzbxFi8GCsSiWJjYwkhfn5+hYWFpaWlUVFR9vb27u7uGsfd8Xi88+fP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\ncAICCQAAOAGBBAAAnPD/AHltgbQ+BHrdAAAAAElFTkSuQmCC\n",
+      "text/plain": [
+       "<IPython.core.display.Image object>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "plot(t_linear,t_linear.^2)\n",
+    "xlabel('time (s)')\n",
+    "ylabel('displacement (m)')"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "#EOL"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Graphics can be produced with a number of functions"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "2-D plots, 3-D plots, contour plots, 3D contour plots ... "
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 57,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Z =\n",
+      "\n",
+      " Columns 1 through 8:\n",
+      "\n",
+      "   0.00000   0.17100   0.28800   0.35700   0.38400   0.37500   0.33600   0.27300\n",
+      "  -0.17100   0.00000   0.12240   0.20160   0.24300   0.25200   0.23400   0.19440\n",
+      "  -0.28800  -0.12240   0.00000   0.08400   0.13440   0.15600   0.15360   0.13200\n",
+      "  -0.35700  -0.20160  -0.08400   0.00000   0.05460   0.08400   0.09240   0.08400\n",
+      "  -0.38400  -0.24300  -0.13440  -0.05460   0.00000   0.03300   0.04800   0.04860\n",
+      "  -0.37500  -0.25200  -0.15600  -0.08400  -0.03300   0.00000   0.01800   0.02400\n",
+      "  -0.33600  -0.23400  -0.15360  -0.09240  -0.04800  -0.01800   0.00000   0.00840\n",
+      "  -0.27300  -0.19440  -0.13200  -0.08400  -0.04860  -0.02400  -0.00840   0.00000\n",
+      "  -0.19200  -0.13860  -0.09600  -0.06300  -0.03840  -0.02100  -0.00960  -0.00300\n",
+      "  -0.09900  -0.07200  -0.05040  -0.03360  -0.02100  -0.01200  -0.00600  -0.00240\n",
+      "   0.00000   0.00000   0.00000   0.00000   0.00000   0.00000   0.00000   0.00000\n",
+      "   0.09900   0.07200   0.05040   0.03360   0.02100   0.01200   0.00600   0.00240\n",
+      "   0.19200   0.13860   0.09600   0.06300   0.03840   0.02100   0.00960   0.00300\n",
+      "   0.27300   0.19440   0.13200   0.08400   0.04860   0.02400   0.00840  -0.00000\n",
+      "   0.33600   0.23400   0.15360   0.09240   0.04800   0.01800  -0.00000  -0.00840\n",
+      "   0.37500   0.25200   0.15600   0.08400   0.03300   0.00000  -0.01800  -0.02400\n",
+      "   0.38400   0.24300   0.13440   0.05460  -0.00000  -0.03300  -0.04800  -0.04860\n",
+      "   0.35700   0.20160   0.08400  -0.00000  -0.05460  -0.08400  -0.09240  -0.08400\n",
+      "   0.28800   0.12240   0.00000  -0.08400  -0.13440  -0.15600  -0.15360  -0.13200\n",
+      "   0.17100  -0.00000  -0.12240  -0.20160  -0.24300  -0.25200  -0.23400  -0.19440\n",
+      "   0.00000  -0.17100  -0.28800  -0.35700  -0.38400  -0.37500  -0.33600  -0.27300\n",
+      "\n",
+      " Columns 9 through 16:\n",
+      "\n",
+      "   0.19200   0.09900   0.00000  -0.09900  -0.19200  -0.27300  -0.33600  -0.37500\n",
+      "   0.13860   0.07200   0.00000  -0.07200  -0.13860  -0.19440  -0.23400  -0.25200\n",
+      "   0.09600   0.05040   0.00000  -0.05040  -0.09600  -0.13200  -0.15360  -0.15600\n",
+      "   0.06300   0.03360   0.00000  -0.03360  -0.06300  -0.08400  -0.09240  -0.08400\n",
+      "   0.03840   0.02100   0.00000  -0.02100  -0.03840  -0.04860  -0.04800  -0.03300\n",
+      "   0.02100   0.01200   0.00000  -0.01200  -0.02100  -0.02400  -0.01800   0.00000\n",
+      "   0.00960   0.00600   0.00000  -0.00600  -0.00960  -0.00840   0.00000   0.01800\n",
+      "   0.00300   0.00240   0.00000  -0.00240  -0.00300   0.00000   0.00840   0.02400\n",
+      "   0.00000   0.00060   0.00000  -0.00060   0.00000   0.00300   0.00960   0.02100\n",
+      "  -0.00060   0.00000   0.00000   0.00000   0.00060   0.00240   0.00600   0.01200\n",
+      "   0.00000   0.00000   0.00000   0.00000   0.00000   0.00000   0.00000   0.00000\n",
+      "   0.00060  -0.00000   0.00000   0.00000  -0.00060  -0.00240  -0.00600  -0.01200\n",
+      "  -0.00000  -0.00060   0.00000   0.00060   0.00000  -0.00300  -0.00960  -0.02100\n",
+      "  -0.00300  -0.00240   0.00000   0.00240   0.00300   0.00000  -0.00840  -0.02400\n",
+      "  -0.00960  -0.00600   0.00000   0.00600   0.00960   0.00840   0.00000  -0.01800\n",
+      "  -0.02100  -0.01200   0.00000   0.01200   0.02100   0.02400   0.01800   0.00000\n",
+      "  -0.03840  -0.02100   0.00000   0.02100   0.03840   0.04860   0.04800   0.03300\n",
+      "  -0.06300  -0.03360   0.00000   0.03360   0.06300   0.08400   0.09240   0.08400\n",
+      "  -0.09600  -0.05040   0.00000   0.05040   0.09600   0.13200   0.15360   0.15600\n",
+      "  -0.13860  -0.07200   0.00000   0.07200   0.13860   0.19440   0.23400   0.25200\n",
+      "  -0.19200  -0.09900   0.00000   0.09900   0.19200   0.27300   0.33600   0.37500\n",
+      "\n",
+      " Columns 17 through 21:\n",
+      "\n",
+      "  -0.38400  -0.35700  -0.28800  -0.17100   0.00000\n",
+      "  -0.24300  -0.20160  -0.12240   0.00000   0.17100\n",
+      "  -0.13440  -0.08400   0.00000   0.12240   0.28800\n",
+      "  -0.05460   0.00000   0.08400   0.20160   0.35700\n",
+      "   0.00000   0.05460   0.13440   0.24300   0.38400\n",
+      "   0.03300   0.08400   0.15600   0.25200   0.37500\n",
+      "   0.04800   0.09240   0.15360   0.23400   0.33600\n",
+      "   0.04860   0.08400   0.13200   0.19440   0.27300\n",
+      "   0.03840   0.06300   0.09600   0.13860   0.19200\n",
+      "   0.02100   0.03360   0.05040   0.07200   0.09900\n",
+      "   0.00000   0.00000   0.00000   0.00000   0.00000\n",
+      "  -0.02100  -0.03360  -0.05040  -0.07200  -0.09900\n",
+      "  -0.03840  -0.06300  -0.09600  -0.13860  -0.19200\n",
+      "  -0.04860  -0.08400  -0.13200  -0.19440  -0.27300\n",
+      "  -0.04800  -0.09240  -0.15360  -0.23400  -0.33600\n",
+      "  -0.03300  -0.08400  -0.15600  -0.25200  -0.37500\n",
+      "   0.00000  -0.05460  -0.13440  -0.24300  -0.38400\n",
+      "   0.05460   0.00000  -0.08400  -0.20160  -0.35700\n",
+      "   0.13440   0.08400   0.00000  -0.12240  -0.28800\n",
+      "   0.24300   0.20160   0.12240   0.00000  -0.17100\n",
+      "   0.38400   0.35700   0.28800   0.17100   0.00000\n",
+      "\n"
+     ]
+    }
+   ],
+   "source": [
+    "x=linspace(-1,1,21); y=linspace(-1,1,21);\n",
+    "[X,Y]=meshgrid(x,y);\n",
+    "Z=(X.*Y.^3-X.^3.*Y)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 58,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
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+   "metadata": {
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+   "source": [
+    "mesh(X,Y,Z)"
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+  },
+  {
+   "cell_type": "code",
+   "execution_count": 60,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
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+       "\t\t<text><tspan font-family=\"{}\">1</tspan></text>\n",
+       "\t</g>\n",
+       "</g>\n",
+       "<g color=\"black\" fill=\"none\" stroke=\"currentColor\" stroke-linecap=\"butt\" stroke-linejoin=\"miter\" stroke-width=\"0.50\">\n",
+       "</g>\n",
+       "</g>\n",
+       "</svg>"
+      ],
+      "text/plain": [
+       "<IPython.core.display.SVG object>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "pcolor(X,Y,Z)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "collapsed": true
+   },
+   "source": [
+    "## "
+   ]
+  }
+ ],
+ "metadata": {
+  "kernelspec": {
+   "display_name": "Matlab",
+   "language": "matlab",
+   "name": "matlab"
+  },
+  "language_info": {
+   "codemirror_mode": "octave",
+   "file_extension": ".m",
+   "help_links": [
+    {
+     "text": "MetaKernel Magics",
+     "url": "https://github.com/calysto/metakernel/blob/master/metakernel/magics/README.md"
+    }
+   ],
+   "mimetype": "text/x-octave",
+   "name": "matlab",
+   "version": "0.11.0"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 2
+}
diff --git a/lecture_03/lecture_03.md b/lecture_03/lecture_03.md
new file mode 100644
index 0000000..ce76e7f
--- /dev/null
+++ b/lecture_03/lecture_03.md
@@ -0,0 +1,1447 @@
+
+# Matlab basic use
+## 1- the environment, path and working directory
+
+Matlab environment can be called by:
+1. Starting the matlab executable (the gui)
+2. Starting a jupyter notebook with Matlab kernel
+3. Starting matlab with command-line interface (no gui)
+
+The main requirement is that matlab kernel (main matlab program) is running and accepting commands
+
+When you start, you can call matlab built-in functions or anything you write that is in your `MATLABPATH` or working directory (`pwd`)
+
+
+```matlab
+path
+```
+
+    MATLABPATH
+    
+    	/usr/local/lib/python2.7/dist-packages/matlab_kernel/toolbox
+    	/usr/local/lib/python2.7/dist-packages/pymatbridge/matlab
+    	/usr/local/lib/python2.7/dist-packages/pymatbridge/matlab/usrprog
+    	/usr/local/lib/python2.7/dist-packages/pymatbridge/matlab/util
+    	/usr/local/lib/python2.7/dist-packages/pymatbridge/matlab/util/json_v0.2.2
+    	/usr/local/lib/python2.7/dist-packages/pymatbridge/matlab/util/json_v0.2.2/json
+    	/usr/local/lib/python2.7/dist-packages/pymatbridge/matlab/util/json_v0.2.2/json/java
+    	/usr/local/lib/python2.7/dist-packages/pymatbridge/matlab/util/json_v0.2.2/test
+    	/home/ryan/Documents/MATLAB
+    	/usr/local/MATLAB/R2016a/toolbox/matlab/strfun
+    	/usr/local/MATLAB/R2016a/toolbox/matlab/datatypes
+    	/usr/local/MATLAB/R2016a/toolbox/matlab/elfun
+    	/usr/local/MATLAB/R2016a/toolbox/matlab/ops
+    	/usr/local/MATLAB/R2016a/toolbox/matlab/timefun
+    	/usr/local/MATLAB/R2016a/toolbox/matlab/elmat
+    	/usr/local/MATLAB/R2016a/toolbox/matlab/datafun
+    	/usr/local/MATLAB/R2016a/toolbox/matlab/iofun
+    	/usr/local/MATLAB/R2016a/toolbox/matlab/mvm
+    	/usr/local/MATLAB/R2016a/toolbox/matlab/randfun
+    	/usr/local/MATLAB/R2016a/toolbox/matlab/funfun
+    	/usr/local/MATLAB/R2016a/toolbox/matlab/general
+    	/usr/local/MATLAB/R2016a/toolbox/matlab/polyfun
+    	/usr/local/MATLAB/R2016a/toolbox/matlab/matfun
+    	/usr/local/MATLAB/R2016a/toolbox/matlab/lang
+    	/usr/local/MATLAB/R2016a/toolbox/matlab/specfun
+    	/usr/local/MATLAB/R2016a/toolbox/matlab/sparfun
+    	/usr/local/MATLAB/R2016a/toolbox/matlab/images
+    	/usr/local/MATLAB/R2016a/toolbox/matlab/testframework/performance
+    	/usr/local/MATLAB/R2016a/toolbox/matlab/testframework/parallel
+    	/usr/local/MATLAB/R2016a/toolbox/matlab/optimfun
+    	/usr/local/MATLAB/R2016a/toolbox/matlab/testframework/ext
+    	/usr/local/MATLAB/R2016a/toolbox/matlab/guide
+    	/usr/local/MATLAB/R2016a/toolbox/matlab/testframework/measurement
+    	/usr/local/MATLAB/R2016a/toolbox/matlab/icons
+    	/usr/local/MATLAB/R2016a/toolbox/matlab/demos
+    	/usr/local/MATLAB/R2016a/toolbox/matlab/helptools
+    	/usr/local/MATLAB/R2016a/toolbox/matlab/winfun
+    	/usr/local/MATLAB/R2016a/toolbox/matlab/winfun/NET
+    	/usr/local/MATLAB/R2016a/toolbox/matlab/datamanager
+    	/usr/local/MATLAB/R2016a/toolbox/matlab/verctrl
+    	/usr/local/MATLAB/R2016a/toolbox/matlab/graph2d
+    	/usr/local/MATLAB/R2016a/toolbox/matlab/graph3d
+    	/usr/local/MATLAB/R2016a/toolbox/matlab/graphics
+    	/usr/local/MATLAB/R2016a/toolbox/matlab/graphics/obsolete
+    	/usr/local/MATLAB/R2016a/toolbox/matlab/plottools
+    	/usr/local/MATLAB/R2016a/toolbox/matlab/scribe
+    	/usr/local/MATLAB/R2016a/toolbox/matlab/scribe/obsolete
+    	/usr/local/MATLAB/R2016a/toolbox/matlab/specgraph
+    	/usr/local/MATLAB/R2016a/toolbox/matlab/uitools
+    	/usr/local/MATLAB/R2016a/toolbox/matlab/uitools/obsolete
+    	/usr/local/MATLAB/R2016a/toolbox/hdlcoder/matlabhdlcoder/matlabhdlcoder
+    	/usr/local/MATLAB/R2016a/toolbox/hdlcoder/matlabhdlcoder
+    	/usr/local/MATLAB/R2016a/toolbox/matlab/testframework/core
+    	/usr/local/MATLAB/R2016a/toolbox/matlab/testframework/obsolete
+    	/usr/local/MATLAB/R2016a/toolbox/matlab/hardware/stubs
+    	/usr/local/MATLAB/R2016a/toolbox/local
+    	/usr/local/MATLAB/R2016a/toolbox/matlab/datastoreio
+    	/usr/local/MATLAB/R2016a/toolbox/matlab/codetools
+    	/usr/local/MATLAB/R2016a/toolbox/matlab/codetools/embeddedoutputs
+    	/usr/local/MATLAB/R2016a/toolbox/matlab/graphfun
+    	/usr/local/MATLAB/R2016a/toolbox/matlab/depfun
+    	/usr/local/MATLAB/R2016a/toolbox/matlab/mapreduceio
+    	/usr/local/MATLAB/R2016a/toolbox/matlab/findfiles
+    	/usr/local/MATLAB/R2016a/toolbox/rtw/targets/asap2/asap2/dataclasses
+    	/usr/local/MATLAB/R2016a/toolbox/rtw/targets/asap2/asap2
+    	/usr/local/MATLAB/R2016a/toolbox/rtw/targets/asap2/asap2/user
+    	/usr/local/MATLAB/R2016a/toolbox/rtw/targets/common/can/blocks/dataclasses
+    	/usr/local/MATLAB/R2016a/toolbox/rtw/targets/common/can/blocks
+    	/usr/local/MATLAB/R2016a/toolbox/rtw/targets/common/can/blocks/tlc_c
+    	/usr/local/MATLAB/R2016a/toolbox/rtw/targets/common/tgtcommon
+    	/usr/local/MATLAB/R2016a/toolbox/coder/simulinkcoder/cgv/API
+    	/usr/local/MATLAB/R2016a/toolbox/rtw/rtw/misra
+    	/usr/local/MATLAB/R2016a/toolbox/coder/simulinkcoder
+    	/usr/local/MATLAB/R2016a/toolbox/coder/simulinkcoder/templates
+    	/usr/local/MATLAB/R2016a/toolbox/coder/simulinkcoder/targets
+    	/usr/local/MATLAB/R2016a/toolbox/rtw/targets/pil
+    	/usr/local/MATLAB/R2016a/toolbox/rtw/targets/AUTOSAR/AUTOSAR/dataclasses
+    	/usr/local/MATLAB/R2016a/toolbox/rtw/targets/AUTOSAR/AUTOSAR
+    	/usr/local/MATLAB/R2016a/toolbox/rtw/accel
+    	/usr/local/MATLAB/R2016a/toolbox/coder/simulinkcoder_core
+    	/usr/local/MATLAB/R2016a/toolbox/rtw/rtwdemos
+    	/usr/local/MATLAB/R2016a/toolbox/rtw/rtwdemos/rsimdemos
+    	/usr/local/MATLAB/R2016a/toolbox/simulink/simdemos/simfeatures
+    	/usr/local/MATLAB/R2016a/toolbox/simulink/simdemos/simfeatures/modelreference
+    	/usr/local/MATLAB/R2016a/toolbox/simulink/simdemos/simfeatures/datadictionary
+    	/usr/local/MATLAB/R2016a/toolbox/simulink/sysarch/sysarch
+    	/usr/local/MATLAB/R2016a/toolbox/simulink/simdemos/simgeneral
+    	/usr/local/MATLAB/R2016a/toolbox/slde/examples
+    	/usr/local/MATLAB/R2016a/toolbox/coder/advisor
+    	/usr/local/MATLAB/R2016a/toolbox/simulink/simulink/modeladvisor
+    	/usr/local/MATLAB/R2016a/toolbox/simulink/simulink/modeladvisor/fixpt
+    	/usr/local/MATLAB/R2016a/toolbox/simulink/simdemos/automotive/fuelsys
+    	/usr/local/MATLAB/R2016a/toolbox/simulink/components
+    	/usr/local/MATLAB/R2016a/toolbox/simulink/dee
+    	/usr/local/MATLAB/R2016a/toolbox/simulink/simdemos/aerospace
+    	/usr/local/MATLAB/R2016a/toolbox/simulinktest/core/simharness/simharness
+    	/usr/local/MATLAB/R2016a/toolbox/simulink/simulink/frameedit
+    	/usr/local/MATLAB/R2016a/toolbox/simulink/simdemos/industrial
+    	/usr/local/MATLAB/R2016a/toolbox/simulink/simdemos/automotive
+    	/usr/local/MATLAB/R2016a/toolbox/simulink/blocks/library
+    	/usr/local/MATLAB/R2016a/toolbox/simulink/blocks/library/simulinkcoder
+    	/usr/local/MATLAB/R2016a/toolbox/simulink/blocks/obsolete
+    	/usr/local/MATLAB/R2016a/toolbox/simulink/simdemos/dataclasses
+    	/usr/local/MATLAB/R2016a/toolbox/simulink/simdemos
+    	/usr/local/MATLAB/R2016a/toolbox/simulink/blocks
+    	/usr/local/MATLAB/R2016a/toolbox/simulink/simulink/dataclasses
+    	/usr/local/MATLAB/R2016a/toolbox/simulink/simulink
+    	/usr/local/MATLAB/R2016a/toolbox/simulink/simulink/MPlayIO
+    	/usr/local/MATLAB/R2016a/toolbox/simulink/simulink/dataobjectwizard
+    	/usr/local/MATLAB/R2016a/toolbox/simulink/simulink/slresolve
+    	/usr/local/MATLAB/R2016a/toolbox/simulink/simulink/units
+    	/usr/local/MATLAB/R2016a/toolbox/simulink/simulink/resources
+    	/usr/local/MATLAB/R2016a/toolbox/simulink/sdi
+    	/usr/local/MATLAB/R2016a/toolbox/simulink/simulink/core_templates
+    	/usr/local/MATLAB/R2016a/toolbox/simulinktest/core/testsequence/testsequence
+    	/usr/local/MATLAB/R2016a/toolbox/simulink/simdemos/automotive/powerwindow
+    	/usr/local/MATLAB/R2016a/toolbox/simulink/sldependency
+    	/usr/local/MATLAB/R2016a/toolbox/simulink/hmi
+    	/usr/local/MATLAB/R2016a/toolbox/coder/objectives
+    	/usr/local/MATLAB/R2016a/toolbox/slde/slde
+    	/usr/local/MATLAB/R2016a/toolbox/slde/slde/resources
+    	/usr/local/MATLAB/R2016a/toolbox/stateflow/stateflow
+    	/usr/local/MATLAB/R2016a/toolbox/stateflow/coder
+    	/usr/local/MATLAB/R2016a/toolbox/stateflow/sfdemos
+    	/usr/local/MATLAB/R2016a/toolbox/stateflow/sftemplates
+    	/usr/local/MATLAB/R2016a/toolbox/shared/testmeaslib/general
+    	/usr/local/MATLAB/R2016a/toolbox/simulink/blocks/sb2sl
+    	/usr/local/MATLAB/R2016a/toolbox/physmod/powersys/DR/DR
+    	/usr/local/MATLAB/R2016a/toolbox/shared/reqmgt
+    	/usr/local/MATLAB/R2016a/toolbox/shared/reqmgt/mmutils
+    	/usr/local/MATLAB/R2016a/toolbox/shared/controllib/graphics
+    	/usr/local/MATLAB/R2016a/toolbox/shared/controllib/graphics/utils
+    	/usr/local/MATLAB/R2016a/toolbox/shared/controllib/graphics/plotoptions
+    	/usr/local/MATLAB/R2016a/toolbox/simulink/sledittimecheck
+    	/usr/local/MATLAB/R2016a/toolbox/hdlcoder/slhdltemplates
+    	/usr/local/MATLAB/R2016a/toolbox/distcomp
+    	/usr/local/MATLAB/R2016a/toolbox/distcomp/distcomp
+    	/usr/local/MATLAB/R2016a/toolbox/distcomp/user
+    	/usr/local/MATLAB/R2016a/toolbox/distcomp/mpi
+    	/usr/local/MATLAB/R2016a/toolbox/distcomp/parallel
+    	/usr/local/MATLAB/R2016a/toolbox/distcomp/parallel/util
+    	/usr/local/MATLAB/R2016a/toolbox/distcomp/lang
+    	/usr/local/MATLAB/R2016a/toolbox/distcomp/cluster
+    	/usr/local/MATLAB/R2016a/toolbox/distcomp/gpu
+    	/usr/local/MATLAB/R2016a/toolbox/distcomp/array
+    	/usr/local/MATLAB/R2016a/toolbox/target/codertarget
+    	/usr/local/MATLAB/R2016a/toolbox/target/codertarget/rtw
+    	/usr/local/MATLAB/R2016a/toolbox/target/codertarget/matlabcoder
+    	/usr/local/MATLAB/R2016a/toolbox/physmod/simscape/simscapedemos
+    	/usr/local/MATLAB/R2016a/toolbox/comm/templates
+    	/usr/local/MATLAB/R2016a/toolbox/shared/simulink
+    	/usr/local/MATLAB/R2016a/toolbox/hdlcoder/hdlcoderdemos
+    	/usr/local/MATLAB/R2016a/toolbox/hdlcoder/hdlcoderdemos/matlabhdlcoderdemos
+    	/usr/local/MATLAB/R2016a/toolbox/target/extensions/processor/tic5000/tic5000demos
+    	/usr/local/MATLAB/R2016a/toolbox/physmod/common/gl/sli/m
+    	/usr/local/MATLAB/R2016a/toolbox/shared/system/simulink
+    	/usr/local/MATLAB/R2016a/toolbox/images/colorspaces
+    	/usr/local/MATLAB/R2016a/toolbox/images/images
+    	/usr/local/MATLAB/R2016a/toolbox/images/imdata
+    	/usr/local/MATLAB/R2016a/toolbox/images/imuitools
+    	/usr/local/MATLAB/R2016a/toolbox/images/iptformats
+    	/usr/local/MATLAB/R2016a/toolbox/images/iptutils
+    	/usr/local/MATLAB/R2016a/toolbox/target/extensions/processor/tic6000
+    	/usr/local/MATLAB/R2016a/toolbox/target/extensions/processor/tic6000/rtw
+    	/usr/local/MATLAB/R2016a/toolbox/target/extensions/processor/tic6000/tfl
+    	/usr/local/MATLAB/R2016a/toolbox/target/extensions/processor/tic6000/utils
+    	/usr/local/MATLAB/R2016a/toolbox/target/extensions/processor/tic6000/blks/sysobj_mex
+    	/usr/local/MATLAB/R2016a/toolbox/target/extensions/processor/tic6000/blks/mex
+    	/usr/local/MATLAB/R2016a/toolbox/distcomp/pctdemos
+    	/usr/local/MATLAB/R2016a/toolbox/matlab/appdesigner/appdesigner
+    	/usr/local/MATLAB/R2016a/toolbox/shared/mlreportgen/ppt
+    	/usr/local/MATLAB/R2016a/toolbox/shared/mlreportgen/ppt/ppt
+    	/usr/local/MATLAB/R2016a/toolbox/shared/mlreportgen/ppt/ppt/help
+    	/usr/local/MATLAB/R2016a/toolbox/coder/matlabcoder
+    	/usr/local/MATLAB/R2016a/toolbox/coder/matlabcoder/templates
+    	/usr/local/MATLAB/R2016a/toolbox/dsp/templates
+    	/usr/local/MATLAB/R2016a/toolbox/globaloptim
+    	/usr/local/MATLAB/R2016a/toolbox/globaloptim/globaloptim
+    	/usr/local/MATLAB/R2016a/toolbox/shared/appdes/services
+    	/usr/local/MATLAB/R2016a/toolbox/coder/emlcodermex
+    	/usr/local/MATLAB/R2016a/toolbox/physmod/powersys/powerdemo/power_electronics
+    	/usr/local/MATLAB/R2016a/toolbox/pde/pdedemos
+    	/usr/local/MATLAB/R2016a/toolbox/slvnv/slvnvdemos
+    	/usr/local/MATLAB/R2016a/toolbox/sl_pir_cap
+    	/usr/local/MATLAB/R2016a/toolbox/target
+    	/usr/local/MATLAB/R2016a/toolbox/target/foundation
+    	/usr/local/MATLAB/R2016a/toolbox/target/foundation/utils
+    	/usr/local/MATLAB/R2016a/toolbox/target/foundation/utils/resource_config
+    	/usr/local/MATLAB/R2016a/toolbox/target/foundation/blks
+    	/usr/local/MATLAB/R2016a/toolbox/target/foundation/blks/mex
+    	/usr/local/MATLAB/R2016a/toolbox/target/foundation/blks/masks
+    	/usr/local/MATLAB/R2016a/toolbox/target/extensions/processor/shared
+    	/usr/local/MATLAB/R2016a/toolbox/target/extensions/processor/shared/ti
+    	/usr/local/MATLAB/R2016a/toolbox/target/extensions/processor/shared/ti/mdlinfo
+    	/usr/local/MATLAB/R2016a/toolbox/target/extensions/processor/shared/ti/utils
+    	/usr/local/MATLAB/R2016a/toolbox/target/extensions/processor/shared/ti/blks
+    	/usr/local/MATLAB/R2016a/toolbox/target/extensions/processor/shared/ti/blks/mex
+    	/usr/local/MATLAB/R2016a/toolbox/target/extensions/processor/shared/ti/blks/masks
+    	/usr/local/MATLAB/R2016a/toolbox/target/extensions/processor/ARM/tfl
+    	/usr/local/MATLAB/R2016a/toolbox/shared/etargets/etargets
+    	/usr/local/MATLAB/R2016a/toolbox/shared/etargets/etargets/demoutils
+    	/usr/local/MATLAB/R2016a/toolbox/optim/optim
+    	/usr/local/MATLAB/R2016a/toolbox/optim
+    	/usr/local/MATLAB/R2016a/toolbox/physmod/simscape/advisor/m
+    	/usr/local/MATLAB/R2016a/toolbox/target/targetdemos
+    	/usr/local/MATLAB/R2016a/toolbox/shared/hadoopserializer
+    	/usr/local/MATLAB/R2016a/toolbox/matlab/external/engines/engine_api
+    	/usr/local/MATLAB/R2016a/toolbox/shared/siglib
+    	/usr/local/MATLAB/R2016a/toolbox/simulink/simulink/performance
+    	/usr/local/MATLAB/R2016a/toolbox/simulink/simulink/performance/performancea
+    	/usr/local/MATLAB/R2016a/toolbox/simevents/examples
+    	/usr/local/MATLAB/R2016a/toolbox/shared/hdlshared
+    	/usr/local/MATLAB/R2016a/toolbox/physmod/sm/local/m
+    	/usr/local/MATLAB/R2016a/toolbox/matlab/uicomponents/uicomponents
+    	/usr/local/MATLAB/R2016a/toolbox/matlab/uicomponents/uicomponents/pending
+    	/usr/local/MATLAB/R2016a/toolbox/matlab/uicomponents/uicomponents/graphics
+    	/usr/local/MATLAB/R2016a/toolbox/fixedpoint/fixedpointconverter
+    	/usr/local/MATLAB/R2016a/toolbox/physmod/powersys/drives/drivesdemo
+    	/usr/local/MATLAB/R2016a/toolbox/physmod/simscape/library/m
+    	/usr/local/MATLAB/R2016a/toolbox/shared/sdi
+    	/usr/local/MATLAB/R2016a/toolbox/shared/asynciolib
+    	/usr/local/MATLAB/R2016a/toolbox/shared/cmlink/api
+    	/usr/local/MATLAB/R2016a/toolbox/matlab/toolboxmanagement/matlab_api
+    	/usr/local/MATLAB/R2016a/toolbox/mpc/mpcdemos
+    	/usr/local/MATLAB/R2016a/toolbox/distcomp/mapreduce
+    	/usr/local/MATLAB/R2016a/toolbox/matlab/networklib
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+    	/usr/local/MATLAB/R2016a/toolbox/map/map
+    	/usr/local/MATLAB/R2016a/toolbox/map/mapgeodesy
+    	/usr/local/MATLAB/R2016a/toolbox/map/mapdisp
+    	/usr/local/MATLAB/R2016a/toolbox/map/mapformats
+    	/usr/local/MATLAB/R2016a/toolbox/map/mapproj
+    	/usr/local/MATLAB/R2016a/toolbox/map/mapdata
+    	/usr/local/MATLAB/R2016a/toolbox/map/mapdata/sdts
+    	/usr/local/MATLAB/R2016a/toolbox/shared/statslib
+    	/usr/local/MATLAB/R2016a/toolbox/shared/statslib/sensitivity
+    	/usr/local/MATLAB/R2016a/toolbox/physmod/powersys/drives/drives
+    	/usr/local/MATLAB/R2016a/toolbox/slcontrol/slcontrol
+    	/usr/local/MATLAB/R2016a/toolbox/slcontrol/slctrlguis
+    	/usr/local/MATLAB/R2016a/toolbox/slcontrol/slctrlutil
+    	/usr/local/MATLAB/R2016a/toolbox/slcontrol/slctrlobsolete
+    	/usr/local/MATLAB/R2016a/toolbox/matlab/spf/matlabservices
+    	/usr/local/MATLAB/R2016a/toolbox/shared/dsp/dialog
+    	/usr/local/MATLAB/R2016a/toolbox/imaq/imaqdemos
+    	/usr/local/MATLAB/R2016a/toolbox/symbolic/symbolicdemos
+    	/usr/local/MATLAB/R2016a/toolbox/instrument/instrument
+    	/usr/local/MATLAB/R2016a/toolbox/instrument/instrumentblks/instrumentblks
+    	/usr/local/MATLAB/R2016a/toolbox/instrument/instrumentblks/instrumentmex
+    	/usr/local/MATLAB/R2016a/toolbox/instrument/instrumentblks/instrumentmasks
+    	/usr/local/MATLAB/R2016a/toolbox/eml/eml
+    	/usr/local/MATLAB/R2016a/toolbox/coder/profile
+    	/usr/local/MATLAB/R2016a/toolbox/database/database
+    	/usr/local/MATLAB/R2016a/toolbox/database/vqb
+    	/usr/local/MATLAB/R2016a/toolbox/map/mapdemos
+    	/usr/local/MATLAB/R2016a/toolbox/shared/cxxfe_mi/cxxfe_mi
+    	/usr/local/MATLAB/R2016a/toolbox/stats/mlearnapp
+    	/usr/local/MATLAB/R2016a/toolbox/shared/eda/fpgaautomation
+    	/usr/local/MATLAB/R2016a/toolbox/shared/eda/fpgaautomation/obsolete
+    	/usr/local/MATLAB/R2016a/toolbox/comm/commdemos
+    	/usr/local/MATLAB/R2016a/toolbox/physmod/pe/pedemos
+    	/usr/local/MATLAB/R2016a/toolbox/slrequirements
+    	/usr/local/MATLAB/R2016a/toolbox/shared/slcontrollib
+    	/usr/local/MATLAB/R2016a/toolbox/geoweb/geoweb
+    	/usr/local/MATLAB/R2016a/toolbox/shared/configset
+    	/usr/local/MATLAB/R2016a/toolbox/comm/cdma2000
+    	/usr/local/MATLAB/R2016a/toolbox/signal/signalanalyzer
+    	/usr/local/MATLAB/R2016a/toolbox/robotics/robotics
+    	/usr/local/MATLAB/R2016a/toolbox/shared/can
+    	/usr/local/MATLAB/R2016a/toolbox/shared/can/canblks
+    	/usr/local/MATLAB/R2016a/toolbox/shared/can/canmasks
+    	/usr/local/MATLAB/R2016a/toolbox/shared/can/canmex
+    	/usr/local/MATLAB/R2016a/toolbox/simulink/fixedandfloat
+    	/usr/local/MATLAB/R2016a/toolbox/simulink/fixedandfloat/obsolete
+    	/usr/local/MATLAB/R2016a/toolbox/physmod/common/data/mli/m
+    	/usr/local/MATLAB/R2016a/toolbox/physmod/sm/foundation/mech
+    	/usr/local/MATLAB/R2016a/toolbox/imaq/imaq
+    	/usr/local/MATLAB/R2016a/toolbox/physmod/pm_visimpl/pm_visimpl
+    	/usr/local/MATLAB/R2016a/toolbox/bioinfo/biodemos
+    	/usr/local/MATLAB/R2016a/toolbox/shared/sigbldr
+    	/usr/local/MATLAB/R2016a/toolbox/dsp/dsp
+    	/usr/local/MATLAB/R2016a/toolbox/dsp/dsputilities
+    	/usr/local/MATLAB/R2016a/toolbox/dsp/dsputilities/dspinit
+    	/usr/local/MATLAB/R2016a/toolbox/dsp/dsputilities/dspmex
+    	/usr/local/MATLAB/R2016a/toolbox/dsp/dsp/compiled
+    	/usr/local/MATLAB/R2016a/toolbox/symbolic/symbolic
+    	/usr/local/MATLAB/R2016a/toolbox/optim/optimdemos
+    	/usr/local/MATLAB/R2016a/toolbox/curvefit/curvefitdemos
+    	/usr/local/MATLAB/R2016a/toolbox/shared/instrument
+    	/usr/local/MATLAB/R2016a/toolbox/physmod/common/external/library/m
+    	/usr/local/MATLAB/R2016a/toolbox/simulink/simulink/slproject
+    	/usr/local/MATLAB/R2016a/toolbox/simulink/simulink/slproject/menu
+    	/usr/local/MATLAB/R2016a/toolbox/physmod/mech/mech
+    	/usr/local/MATLAB/R2016a/toolbox/physmod/mech/importer
+    	/usr/local/MATLAB/R2016a/toolbox/shared/simulation_data_repository
+    	/usr/local/MATLAB/R2016a/help/toolbox/control/examples
+    	/usr/local/MATLAB/R2016a/help/toolbox/vision/examples
+    	/usr/local/MATLAB/R2016a/toolbox/physmod/powersys/powerdemo
+    	/usr/local/MATLAB/R2016a/toolbox/physmod/powersys/powerdemo/meascontrol
+    	/usr/local/MATLAB/R2016a/toolbox/physmod/powersys/powerdemo/power_utility
+    	/usr/local/MATLAB/R2016a/toolbox/physmod/sm/ssci/m
+    	/usr/local/MATLAB/R2016a/toolbox/simulink/sl_async_streaming
+    	/usr/local/MATLAB/R2016a/toolbox/shared/simulink/slcheck_services
+    	/usr/local/MATLAB/R2016a/toolbox/shared/measure
+    	/usr/local/MATLAB/R2016a/toolbox/physmod/powersys/powerdemo/simple
+    	/usr/local/MATLAB/R2016a/toolbox/coder/trace
+    	/usr/local/MATLAB/R2016a/toolbox/compiler_sdk
+    	/usr/local/MATLAB/R2016a/toolbox/shared/diagnostic
+    	/usr/local/MATLAB/R2016a/toolbox/physmod/powersys/templates
+    	/usr/local/MATLAB/R2016a/toolbox/sldv/sldvdemos
+    	/usr/local/MATLAB/R2016a/toolbox/simulink/sta/repository
+    	/usr/local/MATLAB/R2016a/toolbox/simulink/sta/repository/util
+    	/usr/local/MATLAB/R2016a/toolbox/stats/stats
+    	/usr/local/MATLAB/R2016a/toolbox/stats/classreg
+    	/usr/local/MATLAB/R2016a/toolbox/stats/clustering
+    	/usr/local/MATLAB/R2016a/toolbox/hdlcoder/hdllib/ml_lib
+    	/usr/local/MATLAB/R2016a/toolbox/simulink/simulink/iodata/ioformat
+    	/usr/local/MATLAB/R2016a/toolbox/matlab/audiovideo
+    	/usr/local/MATLAB/R2016a/toolbox/matlab/webcam
+    	/usr/local/MATLAB/R2016a/toolbox/shared/mldatx
+    	/usr/local/MATLAB/R2016a/toolbox/robust/robust
+    	/usr/local/MATLAB/R2016a/toolbox/robust/rctlmi
+    	/usr/local/MATLAB/R2016a/toolbox/robust/rctutil
+    	/usr/local/MATLAB/R2016a/toolbox/robust/rctobsolete/robust
+    	/usr/local/MATLAB/R2016a/toolbox/robust/rctobsolete/lmi
+    	/usr/local/MATLAB/R2016a/toolbox/robust/rctobsolete/mutools/commands
+    	/usr/local/MATLAB/R2016a/toolbox/robust/rctobsolete/mutools/subs
+    	/usr/local/MATLAB/R2016a/toolbox/shared/codeinstrum/codeinstrum
+    	/usr/local/MATLAB/R2016a/toolbox/control/control
+    	/usr/local/MATLAB/R2016a/toolbox/control/ctrlmodels
+    	/usr/local/MATLAB/R2016a/toolbox/control/ctrlanalysis
+    	/usr/local/MATLAB/R2016a/toolbox/control/ctrldesign
+    	/usr/local/MATLAB/R2016a/toolbox/control/ctrlplots
+    	/usr/local/MATLAB/R2016a/toolbox/control/ctrlguis
+    	/usr/local/MATLAB/R2016a/toolbox/control/ctrlobsolete
+    	/usr/local/MATLAB/R2016a/toolbox/control/ctrlutil
+    	/usr/local/MATLAB/R2016a/toolbox/physmod/simscape/compiler/sli/m
+    	/usr/local/MATLAB/R2016a/toolbox/shared/dastudio
+    	/usr/local/MATLAB/R2016a/toolbox/stats/statsdemos
+    	/usr/local/MATLAB/R2016a/toolbox/shared/curvefitlib
+    	/usr/local/MATLAB/R2016a/toolbox/shared/slpir
+    	/usr/local/MATLAB/R2016a/toolbox/shared/eda/fpgabase
+    	/usr/local/MATLAB/R2016a/toolbox/physmod/common/dataservices/mli/m
+    	/usr/local/MATLAB/R2016a/toolbox/shared/hdlshared/hdlshared_gui
+    	/usr/local/MATLAB/R2016a/toolbox/shared/eda/hdlparser
+    	/usr/local/MATLAB/R2016a/toolbox/physmod/network_engine/network_engine
+    	/usr/local/MATLAB/R2016a/toolbox/target/extensions/processor/intelhost/tfl
+    	/usr/local/MATLAB/R2016a/toolbox/coder/coverage
+    	/usr/local/MATLAB/R2016a/toolbox/shared/dsp/hdl
+    	/usr/local/MATLAB/R2016a/toolbox/matlab/spf/matlabhost
+    	/usr/local/MATLAB/R2016a/toolbox/mpc/mpc
+    	/usr/local/MATLAB/R2016a/toolbox/mpc/mpcguis
+    	/usr/local/MATLAB/R2016a/toolbox/mpc/mpcobsolete
+    	/usr/local/MATLAB/R2016a/toolbox/mpc/mpcutils
+    	/usr/local/MATLAB/R2016a/toolbox/simulink/slexportprevious
+    	/usr/local/MATLAB/R2016a/toolbox/sl3d/sl3d
+    	/usr/local/MATLAB/R2016a/toolbox/comm/comm
+    	/usr/local/MATLAB/R2016a/toolbox/comm/commutilities/comminit
+    	/usr/local/MATLAB/R2016a/toolbox/comm/commutilities/commmex
+    	/usr/local/MATLAB/R2016a/toolbox/comm/commutilities
+    	/usr/local/MATLAB/R2016a/toolbox/comm/commdeprecated
+    	/usr/local/MATLAB/R2016a/toolbox/comm/comm/compiled
+    	/usr/local/MATLAB/R2016a/toolbox/coder/connectivity
+    	/usr/local/MATLAB/R2016a/toolbox/rtw/targets/connectivity
+    	/usr/local/MATLAB/R2016a/toolbox/simulink/slhistory
+    	/usr/local/MATLAB/R2016a/toolbox/physmod/simscape/templates
+    	/usr/local/MATLAB/R2016a/toolbox/shared/spreadsheet
+    	/usr/local/MATLAB/R2016a/toolbox/fixpoint
+    	/usr/local/MATLAB/R2016a/toolbox/fixpoint/fpca
+    	/usr/local/MATLAB/R2016a/toolbox/robotics/ros
+    	/usr/local/MATLAB/R2016a/toolbox/physmod/ne_sli/ne_sli
+    	/usr/local/MATLAB/R2016a/toolbox/shared/dsp/simulink/dsp
+    	/usr/local/MATLAB/R2016a/toolbox/matlab/system
+    	/usr/local/MATLAB/R2016a/toolbox/shared/eda/fil
+    	/usr/local/MATLAB/R2016a/toolbox/shared/eda/fil/filmapi
+    	/usr/local/MATLAB/R2016a/toolbox/coder/rtiostream
+    	/usr/local/MATLAB/R2016a/toolbox/pde
+    	/usr/local/MATLAB/R2016a/toolbox/physmod/powersys/powersys
+    	/usr/local/MATLAB/R2016a/toolbox/shared/hotpluglib
+    	/usr/local/MATLAB/R2016a/toolbox/shared/multimedia
+    	/usr/local/MATLAB/R2016a/toolbox/shared/testmeaslib/graphics
+    	/usr/local/MATLAB/R2016a/toolbox/matlab/addons_toolbox
+    	/usr/local/MATLAB/R2016a/toolbox/shared/imageslib
+    	/usr/local/MATLAB/R2016a/toolbox/physmod/pm_sli/pm_sli
+    	/usr/local/MATLAB/R2016a/toolbox/shared/dastudio/seqdiagram
+    	/usr/local/MATLAB/R2016a/toolbox/physmod/sm/templates
+    	/usr/local/MATLAB/R2016a/toolbox/physmod/sm/gui/m
+    	/usr/local/MATLAB/R2016a/toolbox/ident/ident
+    	/usr/local/MATLAB/R2016a/toolbox/ident/nlident
+    	/usr/local/MATLAB/R2016a/toolbox/ident/idobsolete
+    	/usr/local/MATLAB/R2016a/toolbox/ident/idguis
+    	/usr/local/MATLAB/R2016a/toolbox/ident/idutils
+    	/usr/local/MATLAB/R2016a/toolbox/ident/idrecursive
+    	/usr/local/MATLAB/R2016a/toolbox/ident/idhelp
+    	/usr/local/MATLAB/R2016a/toolbox/physmod/powersys/powerdemo/machines
+    	/usr/local/MATLAB/R2016a/toolbox/target/extensions/operatingsystem/windows/blks
+    	/usr/local/MATLAB/R2016a/toolbox/target/extensions/operatingsystem/windows/blks/masks
+    	/usr/local/MATLAB/R2016a/toolbox/target/extensions/operatingsystem/windows/blks/mex
+    	/usr/local/MATLAB/R2016a/toolbox/shared/networklib
+    	/usr/local/MATLAB/R2016a/toolbox/physmod/sm/sli/m
+    	/usr/local/MATLAB/R2016a/toolbox/physmod/sm/sm/m
+    	/usr/local/MATLAB/R2016a/toolbox/shared/advisor
+    	/usr/local/MATLAB/R2016a/toolbox/shared/filterdesignlib
+    	/usr/local/MATLAB/R2016a/toolbox/matlab/connector/connector
+    	/usr/local/MATLAB/R2016a/toolbox/idelink/foundation
+    	/usr/local/MATLAB/R2016a/toolbox/idelink/foundation/util
+    	/usr/local/MATLAB/R2016a/toolbox/idelink/foundation/errorhandler
+    	/usr/local/MATLAB/R2016a/toolbox/idelink/foundation/xmakefile
+    	/usr/local/MATLAB/R2016a/toolbox/idelink/foundation/hookpoints
+    	/usr/local/MATLAB/R2016a/toolbox/shared/comparisons
+    	/usr/local/MATLAB/R2016a/toolbox/signal/sigdemos
+    	/usr/local/MATLAB/R2016a/toolbox/matlab/configtools
+    	/usr/local/MATLAB/R2016a/toolbox/simbio/simbio
+    	/usr/local/MATLAB/R2016a/toolbox/matlab/external/interfaces/python
+    	/usr/local/MATLAB/R2016a/toolbox/shared/m3i
+    	/usr/local/MATLAB/R2016a/toolbox/matlab/toolstrip
+    	/usr/local/MATLAB/R2016a/toolbox/dsp/dspdeployabledemos
+    	/usr/local/MATLAB/R2016a/toolbox/slvnv/styleguide
+    	/usr/local/MATLAB/R2016a/help/toolbox/robust/examples
+    	/usr/local/MATLAB/R2016a/toolbox/shared/deviceplugindetection
+    	/usr/local/MATLAB/R2016a/toolbox/physmod/simscape/compiler/mli/m
+    	/usr/local/MATLAB/R2016a/toolbox/physmod/gui/gfx/m
+    	/usr/local/MATLAB/R2016a/toolbox/physmod/sm/import/m
+    	/usr/local/MATLAB/R2016a/toolbox/compiler/java
+    	/usr/local/MATLAB/R2016a/toolbox/physmod/pe/utils/m
+    	/usr/local/MATLAB/R2016a/toolbox/rtw/rtw
+    	/usr/local/MATLAB/R2016a/toolbox/coder/foundation
+    	/usr/local/MATLAB/R2016a/toolbox/coder/foundation/build
+    	/usr/local/MATLAB/R2016a/toolbox/coder/foundation/build/tools/registry
+    	/usr/local/MATLAB/R2016a/toolbox/coder/foundation/tfl
+    	/usr/local/MATLAB/R2016a/toolbox/coder/foundation/tfl/AUTOSAR/AUTOSAR4p0/IFX
+    	/usr/local/MATLAB/R2016a/toolbox/coder/foundation/tfl/AUTOSAR/AUTOSAR4p0/IFL
+    	/usr/local/MATLAB/R2016a/toolbox/coder/foundation/tfl/gui
+    	/usr/local/MATLAB/R2016a/toolbox/coder/foundation/templates
+    	/usr/local/MATLAB/R2016a/toolbox/shared/simtargets
+    	/usr/local/MATLAB/R2016a/toolbox/physmod/mech/mechdemos
+    	/usr/local/MATLAB/R2016a/toolbox/shared/maputils
+    	/usr/local/MATLAB/R2016a/toolbox/coder/foundation/passmanager
+    	/usr/local/MATLAB/R2016a/toolbox/simulink/simulink/iodata/iomap
+    	/usr/local/MATLAB/R2016a/toolbox/fininst/fininstdemos
+    	/usr/local/MATLAB/R2016a/toolbox/nnet
+    	/usr/local/MATLAB/R2016a/toolbox/nnet/nncontrol
+    	/usr/local/MATLAB/R2016a/toolbox/nnet/nnet
+    	/usr/local/MATLAB/R2016a/toolbox/nnet/nnet/nnadapt
+    	/usr/local/MATLAB/R2016a/toolbox/nnet/nnet/nndatafun
+    	/usr/local/MATLAB/R2016a/toolbox/nnet/nnet/nnderivative
+    	/usr/local/MATLAB/R2016a/toolbox/nnet/nnet/nndistance
+    	/usr/local/MATLAB/R2016a/toolbox/nnet/nnet/nndivision
+    	/usr/local/MATLAB/R2016a/toolbox/nnet/nnet/nninitlayer
+    	/usr/local/MATLAB/R2016a/toolbox/nnet/nnet/nninitnetwork
+    	/usr/local/MATLAB/R2016a/toolbox/nnet/nnet/nninitweight
+    	/usr/local/MATLAB/R2016a/toolbox/nnet/nnet/nnlearn
+    	/usr/local/MATLAB/R2016a/toolbox/nnet/nnet/nnnetfun
+    	/usr/local/MATLAB/R2016a/toolbox/nnet/nnet/nnnetinput
+    	/usr/local/MATLAB/R2016a/toolbox/nnet/nnet/nnnetwork
+    	/usr/local/MATLAB/R2016a/toolbox/nnet/nnet/nnperformance
+    	/usr/local/MATLAB/R2016a/toolbox/nnet/nnet/nnplot
+    	/usr/local/MATLAB/R2016a/toolbox/nnet/nnet/nnprocess
+    	/usr/local/MATLAB/R2016a/toolbox/nnet/nnet/nnsearch
+    	/usr/local/MATLAB/R2016a/toolbox/nnet/nnet/nntopology
+    	/usr/local/MATLAB/R2016a/toolbox/nnet/nnet/nntrain
+    	/usr/local/MATLAB/R2016a/toolbox/nnet/nnet/nntransfer
+    	/usr/local/MATLAB/R2016a/toolbox/nnet/nnet/nnweight
+    	/usr/local/MATLAB/R2016a/toolbox/nnet/nnguis
+    	/usr/local/MATLAB/R2016a/toolbox/nnet/nnobsolete
+    	/usr/local/MATLAB/R2016a/toolbox/nnet/nnutils
+    	/usr/local/MATLAB/R2016a/toolbox/matlab/addons_product
+    	/usr/local/MATLAB/R2016a/toolbox/shared/tracking/trackinglib
+    	/usr/local/MATLAB/R2016a/toolbox/shared/simulink/sysarch/sysarch
+    	/usr/local/MATLAB/R2016a/toolbox/shared/slreportgen/reportexplorer
+    	/usr/local/MATLAB/R2016a/toolbox/coder/embeddedcoder_templates
+    	/usr/local/MATLAB/R2016a/toolbox/coder/wizard
+    	/usr/local/MATLAB/R2016a/toolbox/physmod/sm/core/m
+    	/usr/local/MATLAB/R2016a/toolbox/robotics/robotexamples
+    	/usr/local/MATLAB/R2016a/toolbox/robotics/robotexamples/ros
+    	/usr/local/MATLAB/R2016a/toolbox/robotics/robotexamples/ros/helpers
+    	/usr/local/MATLAB/R2016a/toolbox/robotics/robotexamples/robotalgs
+    	/usr/local/MATLAB/R2016a/toolbox/robotics/robotexamples/robotalgs/helpers
+    	/usr/local/MATLAB/R2016a/toolbox/robotics/robotexamples/robotcore
+    	/usr/local/MATLAB/R2016a/toolbox/robotics/robotexamples/robotcore/helpers
+    	/usr/local/MATLAB/R2016a/toolbox/robotics/robotexamples/robotsimulink
+    	/usr/local/MATLAB/R2016a/toolbox/robotics/robotexamples/robotsimulink/helpers
+    	/usr/local/MATLAB/R2016a/toolbox/shared/controllib/engine
+    	/usr/local/MATLAB/R2016a/toolbox/shared/controllib/engine/numerics
+    	/usr/local/MATLAB/R2016a/toolbox/shared/controllib/engine/options
+    	/usr/local/MATLAB/R2016a/toolbox/shared/controllib/engine/optim
+    	/usr/local/MATLAB/R2016a/toolbox/shared/controllib/engine/blocks
+    	/usr/local/MATLAB/R2016a/toolbox/dsp/filterdesign
+    	/usr/local/MATLAB/R2016a/toolbox/finance/findemos
+    	/usr/local/MATLAB/R2016a/toolbox/physmod/powersys/facts/facts
+
+
+
+```matlab
+pwd
+```
+
+    ans =
+    
+    /home/ryan/Documents/UConn/ME3255/me3255_S2017/lecture_03
+
+
+
+path
+
+## Assignments (`=`-operator)
+
+Matlab is interpreted language so each line of code (either saved text file or command-line) is executed as a standalone command
+
+These are reffered to "scripts"
+
+
+```matlab
+a=10; % line one assigns a to 10
+b=a*3; % line two assigns b to 10 times 3 by calling 'a' from line one
+a+b % line three does not assign anything directly, but leaving off the ";" prints the result
+    % ans
+```
+
+    ans =
+    
+        40
+
+
+Matlab has a number of "objects" that you can assign to variables
+1. arrays (vectors and matrices `[`...`]`) 
+2. strings (text `"`...`"` )
+3. cells (combination of strings, text, even function calls `{`...`}`)
+3. functions (both built-in, defined or developed)
+4. and more... (classes defined by `classdef` - you can create your own object to help organize data)
+
+### 1- Arrays
+
+Default in matlab is that when you assign a value to a variable, it is stored as an array
+
+arrays are N x M x ... values of integers or floating point numbers or complex integers/floating point numbers
+
+Use the parantheses to access values in an array `...(n,m)`
+
+
+```matlab
+a=10; % a is 1x1 array where a(1,1)==10
+a(1,1)==10
+
+```
+
+    ans =
+    
+         1
+
+
+
+```matlab
+a(2)
+```
+
+    Index exceeds matrix dimensions.
+    
+
+
+```matlab
+A = [1 2 3;4,5,6;7,8,9;10,11,12]
+fprintf('size of A is %i x %i\n',size(A))
+A(3,1)
+A(6)
+```
+
+    A =
+    
+         1     2     3
+         4     5     6
+         7     8     9
+        10    11    12
+    
+    size of A is 4 x 3
+    
+    ans =
+    
+         7
+    
+    
+    ans =
+    
+         5
+
+
+vectors are either 1xN or Nx1 arrays for row and column
+
+
+```matlab
+v_row = [1,2,3] %row vector
+v_column = [1;2;3] %column vector
+
+```
+
+    v_row =
+    
+         1     2     3
+    
+    
+    v_column =
+    
+         1
+         2
+         3
+
+
+Matrices are MxN arrays
+the `:`-symbol can substitute for a counting
+
+
+```matlab
+A(1,:) % the colon assumes you want the first value, 1, counting up by 1 to the last value, 4
+```
+
+    ans =
+    
+         1     2     3
+
+
+You can also use every 2nd value or any other integer up to `end` which is the largest value of that row or column of the array
+
+
+```matlab
+A(1:2:end,1) % you can also use `end` 
+```
+
+    ans =
+    
+         1
+         7
+
+
+
+```matlab
+A(:)
+```
+
+    ans =
+    
+         1
+         4
+         7
+        10
+         2
+         5
+         8
+        11
+         3
+         6
+         9
+        12
+
+
+In general, arrays can be any size 
+
+take rolling 4 die and determining the sum of the components
+
+
+```matlab
+A_6666 = zeros(6,6,6,6); %make a 6 x 6 x 6 x 6 array (1296 different values)
+for i=1:6
+    for j=1:6
+        for k=1:6
+            for l=1:6
+                A_6666(i,j,k,l)=i+j+k+l; % each value is the sum of the indices
+            end
+        end
+    end
+end
+            
+```
+
+
+```matlab
+mean(A_6666(:))
+std(A_6666(:))
+```
+
+    ans =
+    
+        14
+    
+    
+    ans =
+    
+        3.4170
+
+
+
+```matlab
+A_6666(1,4,2,5)
+```
+
+    ans =
+    
+        12
+
+
+## Cells combine different size arrays and text
+### but, you cannot use math operators 'binary operators'
+
+
+```matlab
+C={};
+C{1}=linspace(0,1,10);
+C{2}=linspace(0,1,3);
+C{'z'}='holy cow';
+```
+
+
+```matlab
+C{1}*C{1}'
+```
+
+    ans =
+    
+        3.5185
+
+
+## Strings can be combined and printed
+
+
+```matlab
+string1 = 'computational'; string2 = 'mechanics';
+[string1, ' ', string2]
+```
+
+    ans =
+    
+    computational mechanics
+
+
+use `fprintf` to format strings and numbers for output and `sprintf` to save variables
+
+
+
+```matlab
+fprintf([string1,' ',string2,'\n\n'])
+string = sprintf('the dog had %i legs and weighed %1.1f lbs',4,10.0)
+```
+
+    computational mechanics
+    
+    
+    string =
+    
+    the dog had 4 legs and weighed 10.0 lbs
+
+
+the `\` signifies a special character e.g. `\n` = newline, `\t` = tab
+
+to actually print the "\", use `\\`
+
+
+```matlab
+fprintf('\\')
+```
+
+    \
+
+
+## This is helpful to create reports of computed data
+
+
+```matlab
+%fid = fopen('file.txt','w');
+fprintf(fid,[string1, ' ', string2])
+fprintf(fid,'\n')
+fprintf(fid,string)
+fprintf(fid,'\n')
+fprintf(fid,'are you awake?')
+```
+
+    ans =
+    
+        23
+    
+    
+    ans =
+    
+         1
+    
+    
+    ans =
+    
+        39
+    
+    
+    ans =
+    
+         1
+    
+    
+    ans =
+    
+        14
+
+
+## Math operators (=, +, -, /, *, ^)
+
+Because matlab assumes all variables are matrices, then all operators are matrix operations
+
+
+```matlab
+a+a % add two 1x1 arrays
+```
+
+    ans =  20
+
+
+
+```matlab
+A+A % add two 4 x 3 arrays
+```
+
+    ans =
+    
+        2    4    6
+        8   10   12
+       14   16   18
+       20   22   24
+    
+
+
+
+```matlab
+A*A'
+```
+
+    ans =
+    
+        14    32    50    68
+        32    77   122   167
+        50   122   194   266
+        68   167   266   365
+
+
+
+```matlab
+A.^2
+```
+
+    ans =
+    
+         1     4     9
+        16    25    36
+        49    64    81
+       100   121   144
+
+
+
+```matlab
+A.*A
+```
+
+    ans =
+    
+         1     4     9
+        16    25    36
+        49    64    81
+       100   121   144
+
+
+
+```matlab
+A/A
+```
+
+    [> In pymat_eval (line 31)
+      In matlabserver (line 24)] 
+    [Warning: Rank deficient, rank = 2, tol =  1.696862e-14.] 
+    
+    ans =
+    
+        1.0000         0         0   -0.0000
+        0.6667         0         0    0.3333
+        0.3333         0         0    0.6667
+        0.0000         0         0    1.0000
+
+
+
+```matlab
+help /
+```
+
+    /   Slash or right matrix divide.
+        A/B is the matrix division of B into A, which is roughly the
+        same as A*INV(B) , except it is computed in a different way.
+        More precisely, A/B = (B'\A')'. See MLDIVIDE for details.
+     
+        C = MRDIVIDE(A,B) is called for the syntax 'A / B' when A or B is an
+        object.
+     
+        See also MLDIVIDE, RDIVIDE, LDIVIDE.
+    
+        Reference page in Doc Center
+           doc mrdivide
+    
+        Other functions named mrdivide
+    
+           codistributed/mrdivide    gf/mrdivide          laurpoly/mrdivide
+           duration/mrdivide         gpuArray/mrdivide    StaticModel/mrdivide
+           DynamicSystem/mrdivide    LagOp/mrdivide       timeseries/mrdivide
+           fints/mrdivide
+
+
+To accomplish one-by-one operations, need to include a `.`
+
+
+```matlab
+A./A
+```
+
+    ans =
+    
+       1   1   1
+       1   1   1
+       1   1   1
+       1   1   1
+    
+
+
+But, for 1x1 arrays, these are considered scalars and you get a free-pass
+
+
+```matlab
+a*A % where a=10 and A is 1:12 in a 3 x 4 matrix
+```
+
+    ans =
+    
+        10    20    30
+        40    50    60
+        70    80    90
+       100   110   120
+    
+
+
+Some built in Matlab functions (e.g. the reasons to run Matlab)
+
+
+```matlab
+t_linear=linspace(0,1,11)
+```
+
+    t_linear =
+    
+      Columns 1 through 7
+    
+             0    0.1000    0.2000    0.3000    0.4000    0.5000    0.6000
+    
+      Columns 8 through 11
+    
+        0.7000    0.8000    0.9000    1.0000
+
+
+
+```matlab
+t_log = logspace(0,2,3) % log interval from 10^0 to 10^2 split into 3 values
+```
+
+    t_log =
+    
+         1    10   100
+
+
+
+```matlab
+help logspace
+```
+
+    'logspace' is a function from the file /usr/share/octave/4.0.0/m/general/logspace.m
+    
+     -- Function File: logspace (A, B)
+     -- Function File: logspace (A, B, N)
+     -- Function File: logspace (A, pi, N)
+         Return a row vector with N elements logarithmically spaced from
+         10^A to 10^B.
+    
+         If N is unspecified it defaults to 50.
+    
+         If B is equal to pi, the points are between 10^A and pi, _not_ 10^A
+         and 10^pi, in order to be compatible with the corresponding MATLAB
+         function.
+    
+         Also for compatibility with MATLAB, return the second argument B if
+         fewer than two values are requested.
+    
+         See also: linspace.
+    
+    Additional help for built-in functions and operators is
+    available in the online version of the manual.  Use the command
+    'doc <topic>' to search the manual index.
+    
+    Help and information about Octave is also available on the WWW
+    at http://www.octave.org and via the help@octave.org
+    mailing list.
+
+
+## When using the command prompt, anything in your path or working directory can be run either as a script, function or class (to define objects)
+
+
+```matlab
+%myscript
+```
+
+
+```matlab
+%plot --format svg
+```
+
+When using the GUI, your command history is saved, but it is better to save your work either as a script or a function or combination of both
+
+Creating a default graph script:
+
+
+```matlab
+set(0, 'defaultAxesFontSize', 16)
+set(0,'defaultTextFontSize',14)
+set(0,'defaultLineLineWidth',3)
+```
+
+
+```matlab
+plot(t_linear,t_linear.^2)
+xlabel('time (s)')
+ylabel('displacement (m)')
+```
+
+
+![png](output_58_0.png)
+
+
+#EOL
+
+## Graphics can be produced with a number of functions
+
+2-D plots, 3-D plots, contour plots, 3D contour plots ... 
+
+
+```matlab
+x=linspace(-1,1,21); y=linspace(-1,1,21);
+[X,Y]=meshgrid(x,y);
+Z=(X.*Y.^3-X.^3.*Y)
+```
+
+    Z =
+    
+     Columns 1 through 8:
+    
+       0.00000   0.17100   0.28800   0.35700   0.38400   0.37500   0.33600   0.27300
+      -0.17100   0.00000   0.12240   0.20160   0.24300   0.25200   0.23400   0.19440
+      -0.28800  -0.12240   0.00000   0.08400   0.13440   0.15600   0.15360   0.13200
+      -0.35700  -0.20160  -0.08400   0.00000   0.05460   0.08400   0.09240   0.08400
+      -0.38400  -0.24300  -0.13440  -0.05460   0.00000   0.03300   0.04800   0.04860
+      -0.37500  -0.25200  -0.15600  -0.08400  -0.03300   0.00000   0.01800   0.02400
+      -0.33600  -0.23400  -0.15360  -0.09240  -0.04800  -0.01800   0.00000   0.00840
+      -0.27300  -0.19440  -0.13200  -0.08400  -0.04860  -0.02400  -0.00840   0.00000
+      -0.19200  -0.13860  -0.09600  -0.06300  -0.03840  -0.02100  -0.00960  -0.00300
+      -0.09900  -0.07200  -0.05040  -0.03360  -0.02100  -0.01200  -0.00600  -0.00240
+       0.00000   0.00000   0.00000   0.00000   0.00000   0.00000   0.00000   0.00000
+       0.09900   0.07200   0.05040   0.03360   0.02100   0.01200   0.00600   0.00240
+       0.19200   0.13860   0.09600   0.06300   0.03840   0.02100   0.00960   0.00300
+       0.27300   0.19440   0.13200   0.08400   0.04860   0.02400   0.00840  -0.00000
+       0.33600   0.23400   0.15360   0.09240   0.04800   0.01800  -0.00000  -0.00840
+       0.37500   0.25200   0.15600   0.08400   0.03300   0.00000  -0.01800  -0.02400
+       0.38400   0.24300   0.13440   0.05460  -0.00000  -0.03300  -0.04800  -0.04860
+       0.35700   0.20160   0.08400  -0.00000  -0.05460  -0.08400  -0.09240  -0.08400
+       0.28800   0.12240   0.00000  -0.08400  -0.13440  -0.15600  -0.15360  -0.13200
+       0.17100  -0.00000  -0.12240  -0.20160  -0.24300  -0.25200  -0.23400  -0.19440
+       0.00000  -0.17100  -0.28800  -0.35700  -0.38400  -0.37500  -0.33600  -0.27300
+    
+     Columns 9 through 16:
+    
+       0.19200   0.09900   0.00000  -0.09900  -0.19200  -0.27300  -0.33600  -0.37500
+       0.13860   0.07200   0.00000  -0.07200  -0.13860  -0.19440  -0.23400  -0.25200
+       0.09600   0.05040   0.00000  -0.05040  -0.09600  -0.13200  -0.15360  -0.15600
+       0.06300   0.03360   0.00000  -0.03360  -0.06300  -0.08400  -0.09240  -0.08400
+       0.03840   0.02100   0.00000  -0.02100  -0.03840  -0.04860  -0.04800  -0.03300
+       0.02100   0.01200   0.00000  -0.01200  -0.02100  -0.02400  -0.01800   0.00000
+       0.00960   0.00600   0.00000  -0.00600  -0.00960  -0.00840   0.00000   0.01800
+       0.00300   0.00240   0.00000  -0.00240  -0.00300   0.00000   0.00840   0.02400
+       0.00000   0.00060   0.00000  -0.00060   0.00000   0.00300   0.00960   0.02100
+      -0.00060   0.00000   0.00000   0.00000   0.00060   0.00240   0.00600   0.01200
+       0.00000   0.00000   0.00000   0.00000   0.00000   0.00000   0.00000   0.00000
+       0.00060  -0.00000   0.00000   0.00000  -0.00060  -0.00240  -0.00600  -0.01200
+      -0.00000  -0.00060   0.00000   0.00060   0.00000  -0.00300  -0.00960  -0.02100
+      -0.00300  -0.00240   0.00000   0.00240   0.00300   0.00000  -0.00840  -0.02400
+      -0.00960  -0.00600   0.00000   0.00600   0.00960   0.00840   0.00000  -0.01800
+      -0.02100  -0.01200   0.00000   0.01200   0.02100   0.02400   0.01800   0.00000
+      -0.03840  -0.02100   0.00000   0.02100   0.03840   0.04860   0.04800   0.03300
+      -0.06300  -0.03360   0.00000   0.03360   0.06300   0.08400   0.09240   0.08400
+      -0.09600  -0.05040   0.00000   0.05040   0.09600   0.13200   0.15360   0.15600
+      -0.13860  -0.07200   0.00000   0.07200   0.13860   0.19440   0.23400   0.25200
+      -0.19200  -0.09900   0.00000   0.09900   0.19200   0.27300   0.33600   0.37500
+    
+     Columns 17 through 21:
+    
+      -0.38400  -0.35700  -0.28800  -0.17100   0.00000
+      -0.24300  -0.20160  -0.12240   0.00000   0.17100
+      -0.13440  -0.08400   0.00000   0.12240   0.28800
+      -0.05460   0.00000   0.08400   0.20160   0.35700
+       0.00000   0.05460   0.13440   0.24300   0.38400
+       0.03300   0.08400   0.15600   0.25200   0.37500
+       0.04800   0.09240   0.15360   0.23400   0.33600
+       0.04860   0.08400   0.13200   0.19440   0.27300
+       0.03840   0.06300   0.09600   0.13860   0.19200
+       0.02100   0.03360   0.05040   0.07200   0.09900
+       0.00000   0.00000   0.00000   0.00000   0.00000
+      -0.02100  -0.03360  -0.05040  -0.07200  -0.09900
+      -0.03840  -0.06300  -0.09600  -0.13860  -0.19200
+      -0.04860  -0.08400  -0.13200  -0.19440  -0.27300
+      -0.04800  -0.09240  -0.15360  -0.23400  -0.33600
+      -0.03300  -0.08400  -0.15600  -0.25200  -0.37500
+       0.00000  -0.05460  -0.13440  -0.24300  -0.38400
+       0.05460   0.00000  -0.08400  -0.20160  -0.35700
+       0.13440   0.08400   0.00000  -0.12240  -0.28800
+       0.24300   0.20160   0.12240   0.00000  -0.17100
+       0.38400   0.35700   0.28800   0.17100   0.00000
+    
+
+
+
+```matlab
+contour(X,Y,Z)
+```
+
+
+![svg](output_63_0.svg)
+
+
+
+```matlab
+mesh(X,Y,Z)
+```
+
+
+![svg](output_64_0.svg)
+
+
+
+```matlab
+pcolor(X,Y,Z)
+```
+
+
+![svg](output_65_0.svg)
+
+
+## 
diff --git a/lecture_03/octave-workspace b/lecture_03/octave-workspace
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+</g>
+<g color="black" fill="none" stroke="currentColor" stroke-linecap="butt" stroke-linejoin="miter" stroke-width="0.50">
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+	</g>
+</g>
+<g color="black" fill="none" stroke="currentColor" stroke-linecap="butt" stroke-linejoin="miter" stroke-width="0.50">
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+		<polygon fill="rgb(  0,  34, 255)" points="194.5,67.8 173.1,67.8 173.1,52.7 194.5,52.7 "/>
+	</g>
+</g>
+<g color="black" fill="none" stroke="currentColor" stroke-linecap="butt" stroke-linejoin="miter" stroke-width="0.50">
+	<path d="M194.5,67.8 L194.5,52.7 L173.1,52.7 L173.1,67.8 L194.5,67.8  " stroke="rgb(  0,   0,   0)"/>	<g shape-rendering="crispEdges" stroke="none">
+		<polygon fill="rgb(  0,  51, 255)" points="173.1,67.8 151.7,67.8 151.7,52.7 173.1,52.7 "/>
+	</g>
+</g>
+<g color="black" fill="none" stroke="currentColor" stroke-linecap="butt" stroke-linejoin="miter" stroke-width="0.50">
+	<path d="M173.1,67.8 L173.1,52.7 L151.7,52.7 L151.7,67.8 L173.1,67.8  " stroke="rgb(  0,   0,   0)"/>	<g shape-rendering="crispEdges" stroke="none">
+		<polygon fill="rgb(  0, 115, 255)" points="151.7,67.8 130.3,67.8 130.3,52.7 151.7,52.7 "/>
+	</g>
+</g>
+<g color="black" fill="none" stroke="currentColor" stroke-linecap="butt" stroke-linejoin="miter" stroke-width="0.50">
+	<path d="M151.7,67.8 L151.7,52.7 L130.3,52.7 L130.3,67.8 L151.7,67.8  " stroke="rgb(  0,   0,   0)"/>	<g shape-rendering="crispEdges" stroke="none">
+		<polygon fill="rgb(  0, 212, 255)" points="130.3,67.8 108.9,67.8 108.9,52.7 130.3,52.7 "/>
+	</g>
+</g>
+<g color="black" fill="none" stroke="currentColor" stroke-linecap="butt" stroke-linejoin="miter" stroke-width="0.50">
+	<path d="M130.3,67.8 L130.3,52.7 L108.9,52.7 L108.9,67.8 L130.3,67.8  " stroke="rgb(  0,   0,   0)"/>	<g shape-rendering="crispEdges" stroke="none">
+		<polygon fill="rgb(119, 255, 136)" points="108.9,67.8 87.5,67.8 87.5,52.7 108.9,52.7 "/>
+	</g>
+</g>
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+		<text><tspan font-family="{}">-1</tspan></text>
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+		<text><tspan font-family="{}">-0.5</tspan></text>
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+		<text><tspan font-family="{}">0</tspan></text>
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+</g>
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+		<text><tspan font-family="{}">0.5</tspan></text>
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+		<text><tspan font-family="{}">1</tspan></text>
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+		<text><tspan font-family="{}">-1</tspan></text>
+	</g>
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+</g>
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+		<text><tspan font-family="{}">-0.5</tspan></text>
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diff --git a/lecture_04/lecture_4.md b/lecture_04/lecture_4.md
new file mode 100644
index 0000000..50921c3
--- /dev/null
+++ b/lecture_04/lecture_4.md
@@ -0,0 +1,309 @@
+
+
+```matlab
+## When using the command prompt, anything in your path or working directory can be run either as a script, function or class (to define objects)
+```
+
+    Error: The input character is not valid in MATLAB statements or expressions.
+    
+
+
+```matlab
+%myscript
+```
+
+
+```matlab
+%plot --format svg
+```
+
+When using the GUI, your command history is saved, but it is better to save your work either as a script or a function or combination of both
+
+Creating a default graph script: `setdefaults.m`
+
+```matlab
+set(0, 'defaultAxesFontSize', 16)
+set(0,'defaultTextFontSize',14)
+set(0,'defaultLineLineWidth',3)
+```
+
+
+```matlab
+set(0, 'defaultAxesFontSize', 16)
+set(0,'defaultTextFontSize',14)
+set(0,'defaultLineLineWidth',3)
+```
+
+
+```matlab
+t_linear=linspace(0,10,100);
+plot(t_linear,t_linear.^2)
+xlabel('time (s)')
+ylabel('displacement (m)')
+```
+
+
+![png](output_5_0.png)
+
+
+#EOL
+
+## Graphics can be produced with a number of functions
+
+2-D plots, 3-D plots, contour plots, 3D contour plots ... 
+
+
+```matlab
+x=linspace(-1,1,21); y=linspace(-1,1,21);
+[X,Y]=meshgrid(x,y);
+Z=(X.*Y.^3-X.^3.*Y)
+```
+
+    Z =
+    
+      Columns 1 through 7
+    
+             0    0.1710    0.2880    0.3570    0.3840    0.3750    0.3360
+       -0.1710         0    0.1224    0.2016    0.2430    0.2520    0.2340
+       -0.2880   -0.1224         0    0.0840    0.1344    0.1560    0.1536
+       -0.3570   -0.2016   -0.0840         0    0.0546    0.0840    0.0924
+       -0.3840   -0.2430   -0.1344   -0.0546         0    0.0330    0.0480
+       -0.3750   -0.2520   -0.1560   -0.0840   -0.0330         0    0.0180
+       -0.3360   -0.2340   -0.1536   -0.0924   -0.0480   -0.0180         0
+       -0.2730   -0.1944   -0.1320   -0.0840   -0.0486   -0.0240   -0.0084
+       -0.1920   -0.1386   -0.0960   -0.0630   -0.0384   -0.0210   -0.0096
+       -0.0990   -0.0720   -0.0504   -0.0336   -0.0210   -0.0120   -0.0060
+             0         0         0         0         0         0         0
+        0.0990    0.0720    0.0504    0.0336    0.0210    0.0120    0.0060
+        0.1920    0.1386    0.0960    0.0630    0.0384    0.0210    0.0096
+        0.2730    0.1944    0.1320    0.0840    0.0486    0.0240    0.0084
+        0.3360    0.2340    0.1536    0.0924    0.0480    0.0180    0.0000
+        0.3750    0.2520    0.1560    0.0840    0.0330         0   -0.0180
+        0.3840    0.2430    0.1344    0.0546   -0.0000   -0.0330   -0.0480
+        0.3570    0.2016    0.0840         0   -0.0546   -0.0840   -0.0924
+        0.2880    0.1224         0   -0.0840   -0.1344   -0.1560   -0.1536
+        0.1710    0.0000   -0.1224   -0.2016   -0.2430   -0.2520   -0.2340
+             0   -0.1710   -0.2880   -0.3570   -0.3840   -0.3750   -0.3360
+    
+      Columns 8 through 14
+    
+        0.2730    0.1920    0.0990         0   -0.0990   -0.1920   -0.2730
+        0.1944    0.1386    0.0720         0   -0.0720   -0.1386   -0.1944
+        0.1320    0.0960    0.0504         0   -0.0504   -0.0960   -0.1320
+        0.0840    0.0630    0.0336         0   -0.0336   -0.0630   -0.0840
+        0.0486    0.0384    0.0210         0   -0.0210   -0.0384   -0.0486
+        0.0240    0.0210    0.0120         0   -0.0120   -0.0210   -0.0240
+        0.0084    0.0096    0.0060         0   -0.0060   -0.0096   -0.0084
+             0    0.0030    0.0024         0   -0.0024   -0.0030         0
+       -0.0030         0    0.0006         0   -0.0006         0    0.0030
+       -0.0024   -0.0006         0         0    0.0000    0.0006    0.0024
+             0         0         0         0         0         0         0
+        0.0024    0.0006   -0.0000         0         0   -0.0006   -0.0024
+        0.0030         0   -0.0006         0    0.0006         0   -0.0030
+             0   -0.0030   -0.0024         0    0.0024    0.0030         0
+       -0.0084   -0.0096   -0.0060         0    0.0060    0.0096    0.0084
+       -0.0240   -0.0210   -0.0120         0    0.0120    0.0210    0.0240
+       -0.0486   -0.0384   -0.0210         0    0.0210    0.0384    0.0486
+       -0.0840   -0.0630   -0.0336         0    0.0336    0.0630    0.0840
+       -0.1320   -0.0960   -0.0504         0    0.0504    0.0960    0.1320
+       -0.1944   -0.1386   -0.0720         0    0.0720    0.1386    0.1944
+       -0.2730   -0.1920   -0.0990         0    0.0990    0.1920    0.2730
+    
+      Columns 15 through 21
+    
+       -0.3360   -0.3750   -0.3840   -0.3570   -0.2880   -0.1710         0
+       -0.2340   -0.2520   -0.2430   -0.2016   -0.1224   -0.0000    0.1710
+       -0.1536   -0.1560   -0.1344   -0.0840         0    0.1224    0.2880
+       -0.0924   -0.0840   -0.0546         0    0.0840    0.2016    0.3570
+       -0.0480   -0.0330    0.0000    0.0546    0.1344    0.2430    0.3840
+       -0.0180         0    0.0330    0.0840    0.1560    0.2520    0.3750
+       -0.0000    0.0180    0.0480    0.0924    0.1536    0.2340    0.3360
+        0.0084    0.0240    0.0486    0.0840    0.1320    0.1944    0.2730
+        0.0096    0.0210    0.0384    0.0630    0.0960    0.1386    0.1920
+        0.0060    0.0120    0.0210    0.0336    0.0504    0.0720    0.0990
+             0         0         0         0         0         0         0
+       -0.0060   -0.0120   -0.0210   -0.0336   -0.0504   -0.0720   -0.0990
+       -0.0096   -0.0210   -0.0384   -0.0630   -0.0960   -0.1386   -0.1920
+       -0.0084   -0.0240   -0.0486   -0.0840   -0.1320   -0.1944   -0.2730
+             0   -0.0180   -0.0480   -0.0924   -0.1536   -0.2340   -0.3360
+        0.0180         0   -0.0330   -0.0840   -0.1560   -0.2520   -0.3750
+        0.0480    0.0330         0   -0.0546   -0.1344   -0.2430   -0.3840
+        0.0924    0.0840    0.0546         0   -0.0840   -0.2016   -0.3570
+        0.1536    0.1560    0.1344    0.0840         0   -0.1224   -0.2880
+        0.2340    0.2520    0.2430    0.2016    0.1224         0   -0.1710
+        0.3360    0.3750    0.3840    0.3570    0.2880    0.1710         0
+
+
+
+```matlab
+contour(X,Y,Z)
+```
+
+
+![png](output_10_0.png)
+
+
+
+```matlab
+mesh(X,Y,Z)
+```
+
+
+![png](output_11_0.png)
+
+
+
+```matlab
+pcolor(X,Y,Z)
+```
+
+
+![png](output_12_0.png)
+
+
+## Functions
+
+So far, everything has been executed as a script, or calling a built-in function. Now we begin building our own functions.
+
+Functions are saved in memory (or better yet) in a folder in your path or current directory
+
+Example of storing function in memory
+
+$f(x,y) = (xy^{3}-x^{3}y)$
+
+
+```matlab
+f= @(x,y) (x.*y.^3-x.^3.*y)
+```
+
+    f = 
+    
+        @(x,y)(x.*y.^3-x.^3.*y)
+
+
+
+```matlab
+f(0.1,-0.5)
+```
+
+    ans =
+    
+       -0.0120
+
+
+Here we will save a function called `my_function` as `my_function.m`
+
+```matlab 
+function [vx,vy] = my_function(x,y,t)
+    % Help documentation of "my_function"
+    % This function computes the velocity in the x- and y-directions given
+    % three vectors of position in x- and y-directions as a function of time
+    % x = x-position
+    % y = y-position
+    % t = time
+    % output
+    % vx = velocity in x-direction
+    % vy = velocity in y-direction
+    
+    vx=zeros(length(t),1);
+    vy=zeros(length(t),1);
+    
+    vx(1:end-1) = diff(x)./diff(t); % calculate vx as delta x/delta t
+    vy(1:end-1) = diff(y)./diff(t); % calculate vy as delta y/delta t
+    
+    vx(end) = vx(end-1);
+    vy(end) = vy(end-1);
+
+end
+```
+
+
+```matlab
+help my_function
+```
+
+    Help documentation of "my_function"
+      This function computes the velocity in the x- and y-directions given
+      three vectors of position in x- and y-directions as a function of time
+      x = x-position
+      y = y-position
+      t = time
+      output
+      vx = velocity in x-direction
+      vy = velocity in y-direction
+
+
+
+```matlab
+t=linspace(0,10,100)'; 
+x=t.^3; % vx = 3*t^2
+y=t.^2/2;  % vy = t
+[vx,vy]=my_function(x,y,t);
+```
+
+
+```matlab
+yyaxis left
+plot(t(1:10:end),vx(1:10:end),'o',t,3*t.^2)
+ylabel('v_{x}')
+yyaxis right
+plot(t(1:10:end),vy(1:10:end),'s',t, t)
+ylabel('v_{y}')
+xlabel('time')
+```
+
+
+![png](output_20_0.png)
+
+
+Now, create a new function that calls 'my_function' called, `my_caller.m`
+
+
+```matlab
+help my_caller
+```
+
+    Help documentation of "my_caller"
+      This function computes the acceleration in the x- and y-directions given
+      three vectors of position in x- and y-directions as a function of time
+      x = x-position
+      y = y-position
+      t = time
+      output
+      ax = velocity in x-direction
+      ay = velocity in y-direction
+
+
+
+```matlab
+[ax,ay]=my_caller(x,y,t);
+```
+
+
+```matlab
+yyaxis left
+plot(t(1:10:end),ax(1:10:end),'o',t,6*t)
+ylabel('a_{x}')
+yyaxis right
+plot(t(1:10:end),ay(1:10:end),'s',t, 1*t./t)
+ylabel('a_{x}')
+xlabel('time')
+axis([0,10,0,3])
+```
+
+
+![png](output_24_0.png)
+
+
+
+```matlab
+diff_match_dims(x,t)
+```
+
+    Undefined function 'diff_match_dims' for input arguments of type 'double'.
+    
+
+
+```matlab
+
+```
diff --git a/lecture_04/myscript.m b/lecture_04/myscript.m
new file mode 100644
index 0000000..4488e0f
--- /dev/null
+++ b/lecture_04/myscript.m
@@ -0,0 +1,11 @@
+f=100;
+
+for i=1:10
+  g=i^2;
+  if f==g
+    fprintf('we made it\n')
+  else
+    fprintf('not yet\n')
+  end
+end
+    
diff --git a/lecture_04/output_10_0.png b/lecture_04/output_10_0.png
new file mode 100644
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HcmV?d00001


From 8785ec42feab7df586825cf0a5451493869cc348 Mon Sep 17 00:00:00 2001
From: "Ryan C. Cooper" <ryan.c.cooper@uconn.edu>
Date: Wed, 25 Jan 2017 21:22:50 -0500
Subject: [PATCH 06/10] added temporary_file to test github desktop

---
 temporary_file.txt | 1 +
 1 file changed, 1 insertion(+)
 create mode 100644 temporary_file.txt

diff --git a/temporary_file.txt b/temporary_file.txt
new file mode 100644
index 0000000..5422329
--- /dev/null
+++ b/temporary_file.txt
@@ -0,0 +1 @@
+just checking github desktop

From 225c5020dd0b034735238205c059a23d58444250 Mon Sep 17 00:00:00 2001
From: Ryan C Cooper <ryan.c.cooper@uconn.edu>
Date: Wed, 25 Jan 2017 21:24:50 -0500
Subject: [PATCH 07/10] Delete temporary_file.txt

---
 temporary_file.txt | 1 -
 1 file changed, 1 deletion(-)
 delete mode 100644 temporary_file.txt

diff --git a/temporary_file.txt b/temporary_file.txt
deleted file mode 100644
index 5422329..0000000
--- a/temporary_file.txt
+++ /dev/null
@@ -1 +0,0 @@
-just checking github desktop

From bd5e59dcaea7d079644ed1162f3081b5b90b3383 Mon Sep 17 00:00:00 2001
From: "Ryan C. Cooper" <ryan.c.cooper@uconn.edu>
Date: Thu, 26 Jan 2017 09:04:23 -0500
Subject: [PATCH 08/10] updated lecture_04

---
 lecture_04/lecture_4.md                       |  48 ++++++++++++++----
 lecture_04/lecture_4_files/lecture_4_12_0.png | Bin 0 -> 29697 bytes
 lecture_04/lecture_4_files/lecture_4_13_0.png | Bin 0 -> 64822 bytes
 lecture_04/lecture_4_files/lecture_4_14_0.png | Bin 0 -> 17167 bytes
 lecture_04/lecture_4_files/lecture_4_22_0.png | Bin 0 -> 20897 bytes
 lecture_04/lecture_4_files/lecture_4_26_0.png | Bin 0 -> 19815 bytes
 lecture_04/lecture_4_files/lecture_4_7_0.png  | Bin 0 -> 17993 bytes
 7 files changed, 39 insertions(+), 9 deletions(-)
 create mode 100644 lecture_04/lecture_4_files/lecture_4_12_0.png
 create mode 100644 lecture_04/lecture_4_files/lecture_4_13_0.png
 create mode 100644 lecture_04/lecture_4_files/lecture_4_14_0.png
 create mode 100644 lecture_04/lecture_4_files/lecture_4_22_0.png
 create mode 100644 lecture_04/lecture_4_files/lecture_4_26_0.png
 create mode 100644 lecture_04/lecture_4_files/lecture_4_7_0.png

diff --git a/lecture_04/lecture_4.md b/lecture_04/lecture_4.md
index 50921c3..dd549aa 100644
--- a/lecture_04/lecture_4.md
+++ b/lecture_04/lecture_4.md
@@ -1,11 +1,41 @@
 
+## When using the command prompt, anything in your path or working directory can be run either as a script, function or class (to define objects)
+
+Questions from last class:
+- I downloaded GitHub to my desktop but I cannot sign into my UConn account like I can online. 
+- I checked my grades on HuskyCt recently and I received a 0 / 100 for Homework 1.
+- It is very hard to tell if what I'm doing on github is right or wrong.
+- How often will be using our laptops during the lecture?
+- How many frogs would it take to move a car that is stuck in the snow? And what would be the approximate cost to do so
+
+$m_{frog}$=22.7 g (https://en.wikipedia.org/wiki/Common_frog)
+
+$v_{frog}$=17 kph = 4.72 m/s (http://purelyfacts.com/question/14/is-a-toad-faster-than-a-frog?DDA=113&DDB=40)
+
+$m_{car}$=1000 kg (reasonable guess)
+
+conservation of momentum:
+
+$mv_{1} +mv_{2} = mv_{1}'+mv_{2}' = m_{total}v_{2}'$
+
 
 ```matlab
-## When using the command prompt, anything in your path or working directory can be run either as a script, function or class (to define objects)
+number_of_frogs = 1;
+v2=0;
+while v2 < 1 % 1 m/s
+    m_frogs=number_of_frogs*22.7e-3;
+    number_of_frogs=number_of_frogs+1;
+    p1=(m_frogs)*4.72; % momentum 1
+    v2=p1/(m_frogs+1000); % p2=p1, so v2=p1/m_total
+end
+number_of_frogs
+    
 ```
 
-    Error: The input character is not valid in MATLAB statements or expressions.
-    
+    number_of_frogs =
+    
+           11844
+
 
 
 ```matlab
@@ -43,7 +73,7 @@ ylabel('displacement (m)')
 ```
 
 
-![png](output_5_0.png)
+![png](lecture_4_files/lecture_4_7_0.png)
 
 
 #EOL
@@ -140,7 +170,7 @@ contour(X,Y,Z)
 ```
 
 
-![png](output_10_0.png)
+![png](lecture_4_files/lecture_4_12_0.png)
 
 
 
@@ -149,7 +179,7 @@ mesh(X,Y,Z)
 ```
 
 
-![png](output_11_0.png)
+![png](lecture_4_files/lecture_4_13_0.png)
 
 
 
@@ -158,7 +188,7 @@ pcolor(X,Y,Z)
 ```
 
 
-![png](output_12_0.png)
+![png](lecture_4_files/lecture_4_14_0.png)
 
 
 ## Functions
@@ -253,7 +283,7 @@ xlabel('time')
 ```
 
 
-![png](output_20_0.png)
+![png](lecture_4_files/lecture_4_22_0.png)
 
 
 Now, create a new function that calls 'my_function' called, `my_caller.m`
@@ -292,7 +322,7 @@ axis([0,10,0,3])
 ```
 
 
-![png](output_24_0.png)
+![png](lecture_4_files/lecture_4_26_0.png)
 
 
 
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From 10234c822fa052dfebf4ed84b39af373680fc5b0 Mon Sep 17 00:00:00 2001
From: "Ryan C. Cooper" <ryan.c.cooper@uconn.edu>
Date: Thu, 26 Jan 2017 09:06:08 -0500
Subject: [PATCH 09/10] remove old plot pngs

---
 lecture_04/output_10_0.png | Bin 29697 -> 0 bytes
 lecture_04/output_11_0.png | Bin 64822 -> 0 bytes
 lecture_04/output_12_0.png | Bin 17167 -> 0 bytes
 lecture_04/output_20_0.png | Bin 20897 -> 0 bytes
 lecture_04/output_24_0.png | Bin 19815 -> 0 bytes
 lecture_04/output_5_0.png  | Bin 17993 -> 0 bytes
 6 files changed, 0 insertions(+), 0 deletions(-)
 delete mode 100644 lecture_04/output_10_0.png
 delete mode 100644 lecture_04/output_11_0.png
 delete mode 100644 lecture_04/output_12_0.png
 delete mode 100644 lecture_04/output_20_0.png
 delete mode 100644 lecture_04/output_24_0.png
 delete mode 100644 lecture_04/output_5_0.png

diff --git a/lecture_04/output_10_0.png b/lecture_04/output_10_0.png
deleted file mode 100644
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From a623138b46a5dad4a14375bf7e8d9c6a89b0aab9 Mon Sep 17 00:00:00 2001
From: "Ryan C. Cooper" <ryan.c.cooper@uconn.edu>
Date: Thu, 26 Jan 2017 09:08:23 -0500
Subject: [PATCH 10/10] add pdf of lecture_4

---
 lecture_04/lecture_4.pdf | Bin 0 -> 152101 bytes
 1 file changed, 0 insertions(+), 0 deletions(-)
 create mode 100644 lecture_04/lecture_4.pdf

diff --git a/lecture_04/lecture_4.pdf b/lecture_04/lecture_4.pdf
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