.. Created by Adam Cunnningham on Sat Dec 10 2016.

**Week 6: March 6 - 10**
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The "Butterfly Effect"
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The "butterfly effect" describes systems where a small change in the initial conditions can result in large differences in outcome at a later time. We examine this idea using the "Mayfly model" as an example, exploring circumstances in which nearby trajectories either converge or diverge.

Linear Least Squares
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The problem of finding a straight line which best fits a set of points arises naturally when we study the "butterfly effect". We explore what a "good fit" means, and how to find one.

Week 6 Notebook
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- `View online <./Week6Notebook.html>`_
- :download:`Download <../Lessons/Week6/Week6Notebook.ipynb>`

NumPy
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- Multi-dimensional arrays
- Array indexing and slicing
- **mean**

Matplotlib
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- **loglog**
- **semilogx**
- **semilogy**
- **subplot**
- **xticks**, **yticks**

Quiz 5: Loops
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- **while** loops
- **for** loops
- **range**
- **break**
- **continue**

:download:`Sample Quiz 5 <../Quizzes/Quiz5Sample.pdf>`

Report 3
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:doc:`mayfly_model`