Math 135A
UC Davis, Fall 2009

Instructor: Ben Morris
OH: 2105 Mathematical Sciences Building, M 3-4, W 1-2

http://math.ucdavis.edu/~morris/135A

Final Exam from Fall 2007

Midterm solution key

MIdterm from Fall 2007

Homework page

Online lecture notes

Course Outline

• Mathematical set-up for probability, equally likely outcomes, basic counting arguments, conditional probability, Bayes' rule, independent events.
• Sampling with and without replacement, Binomial distribution, Normal and Poisson approximations.
• Discrete random variables, Binomial, Poisson, Hypergeometric, Geometric distributions, expectation, variance.
• Discrete joint distributions, independent variables, repeated trials.
• Law of Large Numbers, Central Limit Theorem. 
• Continuous random variables, density, cumulative distribution function, change of variable, expectation, variance.
• Uniform, Exponential, Gamma, Normal distribution.

Prerequisites

Calculus  (Math 21 or equivalent)

Texts

Probability by Jim Pitman.

Grading

• Midterm : 25%
• Homework : 25%
• Final : 50%

COMMENTS:

There is no discussion section.

There will be weekly Homework.   

Please bear in mind that cell phone ringing, talking, newspaper reading, etc. disrupt the lectures.

Use of books, notes, calculators and other electronic equipment (e.g. cell phones) will not be allowed on any exam.

There will be no make-up midterms. A missed midterm counts as 0 points. The lowest homework score will be dropped.

Solutions for the midterm will be posted on the web.