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MAT 516 Probability and Statistics for Teachers Fall 2010 |
Mathematics department | |
Julia Viro |
Generalities | Instructor | Schedule | Tests | SOLAR | Blackboard |
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Days | Contents | Sections | Homework |
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M 8/30 W 9/1 | Sample space ane events. Axioms of probability and their simplest corollaries. | 1.1-1.4 | HW 1 (due M 9/13): p. 9 ## 2, 16; p. 23 ## 4, 8, 10, 18, 20. |
M 9/6 no classes W 9/8 | Continuity of probability function. | 1.5-1.7 | |
M 9/13W 9/15 | Test 1 (Chapter 1). Combinatorics: Counting principles, permutations. | 2.1-2.3 | HW 2 (due W 9/22): p. 44 ## 2, 8, 20, 27; p. 51 ## 10, 14, 22. |
M 9/20W 9/22 | Combinatorics: combinations and binomial theorem. Stirling's formula. | 2.4-2.5 | HW 3 (due M 9/27): p. 64 ## 10, 12, 14, 18, 40 |
M 9/27 W 9/29 |
Test 2 (Chapter 2). | 3.1-3.3 | |
M 10/4W 10/6 | Conditional probability. Multiplication rule. | 3.1-3.3 | HW 4 (due M 10/11): p. 82 ## 2, 6, 8, 16, p. 87 ## 4, 10 |
M 10/11 W 10/13 | Law of total probability. Bayes' formula. Independence.Test 3 (Chapter 3). | 3.3-3.5 | HW 5 (due M 10/25): p. 96 ## 2, 4, 6, p. 105 # 6, p. 119 ## 4, 8, 10, 16 |
M 10/18W 10/20 | Random variables. Distributions. Probability mass function. Expected value. | 4.1-4.4 | |
M 10/25W 10/27 | Variance and standard deviation. Moments. | 4.5 | HW 6 (due M 11/8): p. 151 ## 7, 10, p. 157 # 2, 8, p. 173 ## 2, 12, 14 |
M 11/1 W 11/3 | Test 4 (Chapter 4). Bernoulli and binomial random variables. | 5.1 | |
M 11/8 W 11/10 | Poisson random variable. Geometric random variable. | 5.2-5.3 | HW 7 (due W 11/17): p. 182 # 6, p. 185 (Ex. 4.6) # 2, p. 185 (Review Problems) ## 2, 5, 9 |
M 11/15 W 11/17 | Test 5 (Chapter 5). Continous random variables. Probability density functions. | 6.1-6.2 | |
M 11/22 W 11/24 Friday schedule | Expectation, variance and standard deviation. | 6.3 | HW 8 (due W 12/1): p. 196 ## 6, 8, 18, p. 211 ## 2, 10, p. 225 # 6 |
M 11/29 W 12/1 | Test 6 (Chapter 6). Uniform and normal random variables. | 7.1-7.2 | HW 9 (due W 12/8): p. 238 # 3 p. 254 # 2, p. 281 # 6 |
M 12/6 W 12/8 | Final review. | ||
M 12/13 2:15pm-4:45pm | Final exam |