Practise projects: The central limit theorem
The panel on the right of this page contains links to some more challenging programming exercises that require you to use the material that is covered in this chapter. You are strongly encouraged to create a new python notebook for each of the problems listed here that you attempt. Put all the code you write and the explanations of the mathematical ideas you use in the notebook. Please note that there is an enormous ammount of information about python available online and we fully expect you to take advantage of this rich information stream. Some (brief) introductions to the python notebook system are provided below:
- Introductory videos on running the notebook and writing in the notebook
- Introductory video on writing equations with the notebook, notes on the markdown language you can use for writing plain text and a short summary of the key markdown commands.
- List of latex commands that can be used to typeset mathematical equations in the jupyter notebook system
In addition the buttons below allow you to access resources on the python syntax for key programming concepts
Variables Functions Logic Loops Lists GraphsIf you would like to download the python notebook system onto your own laptop you can find it here:
https://www.continuum.io/downloadsThere are some instructions on how to install it on your computer in this video
| (Level 1) An exercise on proving the central limit theorem |
| topic: The central limit theorem |
| author: G. Tribello |
| (Level 1) Extended programming exercise on estimating $\pi$ using random variables. |
| topic: The central limit theorem |
| author: G. Tribello |
| (Level 2) Extended programming exercise on determining the area of the Mandelbrot set. |
| topic: The central limit theorem |
| author: G. Tribello |
| (Level 3) Extended programming exercise on the Bertrand paradox and systematic and random error. |
| topic: The central limit theorem |
| author: G. Tribello |
| EXAMPLE: A not particularly good level 4 portfolio project. |
| topic: The central limit theorem |
| author: G. Tribello |
| EXAMPLE: A good level 4 portfolio project. Notice this example report contains information that may proove useful for doing other projects. |
| topic: The central limit theorem |
| author: G. Tribello |