| Week | Lecture dates | Sections | topics |
| 1a | 9/4 (Tuesday) | 1.1-1.6 | Combinatorics |
| 1b | 9/6 (Thurs) | 2.1-2.4 | Axioms of probability; inclusion/exclusion formula |
| 2 | 9/11, 9/13 | 2.5 | Equally likely outcomes; examples; Stirling's approximation (p.151) |
| 3 | 9/18, 9/20 | 3.1-3.5 | Conditional probability; Bayes' formula; Independent events and independent trials |
| 4 | 9/25, 9/27 | 4.1-4.6 | Discrete random variables; expected value; review chapters 1-3 |
| 5 | 10/2 | 1.1-3.5 | EXAM 1 range [0,74] mu=57.5 sigma=14.4 |
| 5+ | 10/4 | 4.4-4.5, 4.9 | expected value; variance; cumulative distribution |
| 6 | 10/9, 10/11 | 4.6-4.8 | special random variables: Bernoulli and binomial, Poisson, geometric, negative binomial and hypergeometric |
| 7a | 10/16 | 5.1-5.2 | Continuous random variables; expectation, variance |
| 7b | 10/18 | 5.3-5.4 | Uniform and normal random variables; normalpdf; Normal approximation to binomial random variables |
| 8 | 10/23, 10/25 | 5.5,5.6.1,5.7 | Exponential & Gamma random variables; functions of a random variable |
| 9 | 10/30, 11/1 | 6.1-6.2 | Joint distributions, independent random variables |
| 10 | 11/6, 11/8 | 6.3-6.5 | Sums of independent random variables; Conditional distributions |
| 11 | 11/13, 15 | 7.1-7.3 | Linearity of expectation; Covariance and correlation |
| 12 | 11/20 ("Thurs") | 4.1-6.5 | EXAM 2 range [0,85] mu=53.7 sigma=18.6 |
| 13 | 11/27, 11/29 | 7.4 | Conditional expectation |
| 14a | 12/4 | 8.1-8.2 | Markov and Chebyshev inequalities; weak law of large numbers |
| 14b | 12/6 | 8.3 | The central limit theorem; examples. |
| 15 | 12/11 (last class) | 8.3 | Proof of the central limit theorem; Review. |
| 16 | 12/19 (Wednesday) | Cumulative | Final Exam (12-3 PM) |
Warning! People who cannot do 2D integration will be left
high and dry after Exam 1! That's why Math 251 is a prerequisite!
See General
Math Course Materials
| Due date | Section/Problems | Section/Problems |
|---|---|---|
| Thursday 9/13/01: | Ch.1 #1, 8, 11, 21, 27 | Ch.2 #5, 13, 15, 26 |
| Tuesday 9/18/01: | Ch.2 #20, 23, 34, 37, 47, 49 | |
| Tuesday 9/25/01: | Ch.3 #11, 14, 31, 46, 56, 67 | Prepare for Exam #1 ! |
| Tuesday 10/9/01: | Ch.4 #2, 4, 12, 20, 21, 26 | |
| Tuesday 10/16/01: | Ch.4 #45, 51, 53, 56, 63, 69 | |
| Tuesday 10/23/01: | Ch.5 #4, 5, 8, 13, 16, 23, 26 | |
| Tuesday 10/30/01: | Ch.5 problems #24, 29, 32, 34 | Ch.5 theoretical #1, 14, 29 |
| Tuesday 11/6/01: | Ch.6 problems #7, 9, 14, 18, 20, 21 | |
| Tuesday 11/13/01: | Ch.6 problems #27, 29, 32, 33, 42, 43, 44 | Prepare for Exam #2 ! |
| Tuesday 12/4/01: | Ch.7 problems #3,18,33,36,38,50,53 | |
| Tuesday 12/11/01: | Ch.8 problems #1, 2, 5, 6, 7, 10, 13 | Prepare for Final Exam on Dec. 19! |
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Charles Weibel / weibel @ math.rutgers.edu / Dec. 11, 2001