README.html

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<h1 id="computational-mechanics-01---getting-started">Computational Mechanics 01 - Getting Started</h1>
<h2 id="working-with-python-and-numerical-methods">Working with Python and Numerical Methods</h2>
<p>Welcome to Computational Mechanics Module #1 - Getting Started!</p>
<p>There are three modules and one final project. The modules will get us started on our exploration of computational mechanics using Python, listed below each module are the learning objectives.</p>
<ol type="1">
<li><a href="./notebooks/01_Interacting_with_Python.ipynb">01_Interacting_with_Python</a></li>
</ol>
<ul>
<li>Using the <code>print()</code> function. The concept of <em>function</em>.</li>
<li>Using Python as a calculator.</li>
<li>Concepts of variable, type, assignment.</li>
<li>Special variables: <code>True</code>, <code>False</code>, <code>None</code>.</li>
<li>Supported operations, logical operations.</li>
<li>Reading error messages.</li>
</ul>
<ol start="2" type="1">
<li><a href="./notebooks/02_Working_with_Python.ipynb">02_Working_with_Python</a></li>
</ol>
<ul>
<li>Good coding habits and file naming</li>
<li>How to define a function and return outputs</li>
<li>How to import libraries</li>
<li>Multidimensional arrays using NumPy</li>
<li>Accessing values and slicing in NumPy arrays</li>
<li><code>%%time</code> magic to time cell execution.</li>
<li>Performance comparison: lists vs NumPy arrays</li>
<li>Basic plotting with <code>pyplot</code>.</li>
</ul>
<ol start="3" type="1">
<li><a href="./notebooks/03-Numerical_error.ipynb">03-Numerical_error</a></li>
</ol>
<ul>
<li>Numerical integration with the Euler approximation</li>
<li>The source of truncation errors</li>
<li>The source of roundoff errors</li>
<li>How to time a numerical solution or a function</li>
<li>How to compare solutions</li>
<li>The definition of absolute error and relative error</li>
<li>How a numerical solution converges</li>
</ul>
<h2 id="computational-mechanics-project-01---heat-transfer-in-forensic-science"><a href="./project/01_Getting-started-project.ipynb">Computational Mechanics Project #01 - Heat Transfer in Forensic Science</a></h2>
<p>We can use our current skillset for a macabre application. We can predict the time of death based upon the current temperature and change in temperature of a corpse.</p>
<p>Forensic scientists use Newton’s law of cooling to determine the time elapsed since the loss of life,</p>
<p><span class="math inline">\(\frac{dT}{dt} = -K(T-T_a)\)</span>,</p>
<p>where <span class="math inline">\(T\)</span> is the current temperature, <span class="math inline">\(T_a\)</span> is the ambient temperature, <span class="math inline">\(t\)</span> is the elapsed time in hours, and <span class="math inline">\(K\)</span> is an empirical constant.</p>
<p>Suppose the temperature of the corpse is 85<span class="math inline">\(^o\)</span>F at 11:00 am. Then, 2 hours later the temperature is 74<span class="math inline">\(^{o}\)</span>F.</p>
<p>Assume ambient temperature is a constant 65<span class="math inline">\(^{o}\)</span>F.</p>
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	<body>
	<h1 id="computational-mechanics-01---getting-started">Computational Mechanics 01 - Getting Started</h1>
	<h2 id="working-with-python-and-numerical-methods">Working with Python and Numerical Methods</h2>
	<p>Welcome to Computational Mechanics Module #1 - Getting Started!</p>
	<p>There are three modules and one final project. The modules will get us started on our exploration of computational mechanics using Python, listed below each module are the learning objectives.</p>
	<ol type="1">
	<li><a href="./notebooks/01_Interacting_with_Python.ipynb">01_Interacting_with_Python</a></li>
	</ol>
	<ul>
	<li>Using the <code>print()</code> function. The concept of <em>function</em>.</li>
	<li>Using Python as a calculator.</li>
	<li>Concepts of variable, type, assignment.</li>
	<li>Special variables: <code>True</code>, <code>False</code>, <code>None</code>.</li>
	<li>Supported operations, logical operations.</li>
	<li>Reading error messages.</li>
	</ul>
	<ol start="2" type="1">
	<li><a href="./notebooks/02_Working_with_Python.ipynb">02_Working_with_Python</a></li>
	</ol>
	<ul>
	<li>Good coding habits and file naming</li>
	<li>How to define a function and return outputs</li>
	<li>How to import libraries</li>
	<li>Multidimensional arrays using NumPy</li>
	<li>Accessing values and slicing in NumPy arrays</li>
	<li><code>%%time</code> magic to time cell execution.</li>
	<li>Performance comparison: lists vs NumPy arrays</li>
	<li>Basic plotting with <code>pyplot</code>.</li>
	</ul>
	<ol start="3" type="1">
	<li><a href="./notebooks/03-Numerical_error.ipynb">03-Numerical_error</a></li>
	</ol>
	<ul>
	<li>Numerical integration with the Euler approximation</li>
	<li>The source of truncation errors</li>
	<li>The source of roundoff errors</li>
	<li>How to time a numerical solution or a function</li>
	<li>How to compare solutions</li>
	<li>The definition of absolute error and relative error</li>
	<li>How a numerical solution converges</li>
	</ul>
	<h2 id="computational-mechanics-project-01---heat-transfer-in-forensic-science"><a href="./project/01_Getting-started-project.ipynb">Computational Mechanics Project #01 - Heat Transfer in Forensic Science</a></h2>
	<p>We can use our current skillset for a macabre application. We can predict the time of death based upon the current temperature and change in temperature of a corpse.</p>
	<p>Forensic scientists use Newton’s law of cooling to determine the time elapsed since the loss of life,</p>
	<p><span class="math inline">\(\frac{dT}{dt} = -K(T-T_a)\)</span>,</p>
	<p>where <span class="math inline">\(T\)</span> is the current temperature, <span class="math inline">\(T_a\)</span> is the ambient temperature, <span class="math inline">\(t\)</span> is the elapsed time in hours, and <span class="math inline">\(K\)</span> is an empirical constant.</p>
	<p>Suppose the temperature of the corpse is 85<span class="math inline">\(^o\)</span>F at 11:00 am. Then, 2 hours later the temperature is 74<span class="math inline">\(^{o}\)</span>F.</p>
	<p>Assume ambient temperature is a constant 65<span class="math inline">\(^{o}\)</span>F.</p>
	</body>
	</html>