This page will contain links to a variety of information meant to supplement the lectures. The materials include an electronic textbook and the slides used in class, which I will post after the class sessions. As appropriate, I will also post links to other sites with related information.
Lecture Notes/Text Book
These fall somewhere between an outline of the material covered in class and a real text book, and are very much a work in progress. These notes are intended to provide a background and guide to the material covered in class, and, in some cases, goes into greater depth than we are able to in class. For quizzes and exams, you will only be responsible for what is actually covered in class, but reading the additional material may still be helpful in gaining a deeper understanding.
The notes are organized into chapters representing the major topics to be covered during the semester. These chapters will likely be updated as the semeater progresses. Major updates will be announced on the Updates page of this web site.
Lecture Slides and Other Items
Lecture 8, 7 September
- Plinko Probabilities, Part II. Bionomial Coefficients and the Bionomial Probablity Density Function.
Lecture 9, 10 September
- Plinko Probabilities, Part III: Expected values, variance and standard deviation
Lecture 12, 17 September
- More on Random Walks: From 1 dimension to 2 dimensions
Computational Simulations of Random Walks
Lecture 13, 21 Septemberg
Lecture 14, 24 September
- The End-to-end Distance Distribution for a Tw0-dimensional Random Walk and Continuous Probability Distribution Functions
Lecture 15, 26 September
- The Gaussian Probability Distribution Function and Introduction to Diffusion
Lecture 18, 3 October
- Diffusion: Fick's Second Law
- Simulation of Diffusion. The animated simulation of diffustion from a sharp bounddary that I showed in class was created in Mathematica, a computer program with a wide range of powerful tools for mathematics. Although Mathematica is quie expensive, the file for the simulation can be opened and used with a free player program avalialble from the makers of Mathematica, Wolfram Research.
The simulation file can be downloaded here.
The player program can be downloaded from: http://www.wolfram.com/cdf-player/