MTH U581 -- Spring 2008

• Syllabus.
• Assignment #1. Due date is Monday 1/14. Here are solutions.
• Assignment #2. Due date is changed to Thursday 1/24. Here are solutions.
• Assignment #3. Due date is Thursday 1/31. Here are solutions.
• Test 1 will be in class on Thursday February 7. Here are some practice problems which I will review in class on Wednesday.
• Assignment #4. Due date is Monday 2/18. Here are solutions.
• Assignment #5 (revised version). Due date is Thursday 2/28. Here are solutions.
• Assignment #6. Due date is Thursday 3/13. Here are solutions.
• Assignment #7. Due date is Thursday 3/20. Here are solutions.
• Test 2 will be in class on Monday March 24. As for Test 1 it will be open book, covering the material on Markov chains.
• Assignment #8. Due date is Wednesday 4/2. Here are solutions.
• Assignment #9. Due date is Thursday 4/10. Here are solutions.

Projects

Some probability links

• Click on "A GNU book" on this link to get the Introduction to Probbaility book by Grinstead and Snell.
• Java applets to generate random numbers and compute distributions -- links to the website of the Chance Project at the Mathematics Department, Dartmouth College:
  • Counting tosses of a fair coin.
  • Keeping tally of excess of Heads over Tails.
  • Vary tosses per game and number of games.
  • Compare exact binomial distribution with normal approximation.
  • Compute CLT approximation for specified number of copies of randomly selected distribution.
  • Roll the dice.
• Here are the CLT applets that I showed in class:
  • balls dropping through a maze.
  • pdf's for multiple copies.
  • do-it-yourself pdf's.
  • sampling examples.
  • playing around with dice, coins and darts.