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Merge pull request #4 from rcc02007/master
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update 2/13/17
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mrw13002 committed Feb 14, 2017
2 parents bd96eab + e5f170b commit 1a2f59e
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11 changes: 5 additions & 6 deletions HW3/README.md
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c. Copy your `projectile.m` function into the 'roots_and_optimization' folder.
*Disable the plotting routine for the solvers*

d. Use the four solvers `falsepos.m`, `incsearch.m`, `newtraph.m` and `mod_secant.m`
to solve for the angle needed to reach h=1.72 m, with an initial speed of 1.5 m/s.
d. Use the four solvers `falsepos.m`, `bisect.m`, `newtraph.m` and `mod_secant.m`
to solve for the angle needed to reach h=1.72 m, with an initial speed of 15 m/s.

e. The `newtraph.m` function needs a derivative, calculate the derivative of your
function with respect to theta, `dprojectile_dtheta.m`. This function should
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| solver | initial guess(es) | ea | number of iterations|
| --- | --- | --- | --- |
|falsepos | | | |
|incsearch | | | |
|bisect | | | |
|newtraph | | | |
|mod_secant | | | |
```
Expand All @@ -49,7 +49,7 @@ using the numerical solvers, `newtraph.m` and `mod_secant.m`, there are certain
guesses that do not converge.

a. Calculate the first 5 iterations for the Newton-Raphson method with an initial
guess of x_i=2.
guess of x_i=2 for f(x)=x*exp(-x^2).

b. Add the results to a table in the `README.md` with:

Expand All @@ -70,5 +70,4 @@ guesses that do not converge.
'divergence' to 'convergence')

3. Commit your changes to your repository. Sync your local repository with github. Then
copy and paste the "clone URL" into the following Google Form [Homework
#3](https://goo.gl/forms/UJBGwp0fQcSxImkq2)
copy and paste the "clone URL" into the following Google Form [Homework 3](https://goo.gl/forms/UJBGwp0fQcSxImkq2)
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6 changes: 6 additions & 0 deletions lecture_08/.ipynb_checkpoints/lecture_08-checkpoint.ipynb
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{
"cells": [],
"metadata": {},
"nbformat": 4,
"nbformat_minor": 2
}
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1,941 changes: 1,941 additions & 0 deletions lecture_08/lecture_08.ipynb

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4 changes: 4 additions & 0 deletions lecture_08/lennard_jones.m
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function E_LJ =lennard_jones(x,sigma,epsilon)
E_LJ = 4*epsilon*((sigma./x).^12-(sigma./x).^6);
end

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