MAT 516Probability and Statistics for Teachers Fall 2010 Mathematics department Julia Viro

Generalities Instructor Schedule Tests SOLAR Blackboard

Tentative schedule

Days Contents Sections Homework
M 8/30
W 9/1
Sample space ane events. Axioms of probability and their simplest corollaries. 1.1-1.4HW 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 9/13
W 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 9/20
W 9/22
Combinatorics: combinations and binomial theorem. Stirling's formula. 2.4-2.5HW 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 10/4
W 10/6
Conditional probability. Multiplication rule. 3.1-3.3HW 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 10/18
W 10/20
Random variables. Distributions. Probability mass function. Expected value. 4.1-4.4
M 10/25
W 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. 5.2-5.3HW 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. 6.3HW 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