# Course page for Math 4510/5510, Fall 2019

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## Daily Schedule, Readings, and Homeworks

Date Section and Topic Read before class Homework (T denotes Theoretical Exercise) 5510
August 26 Organization and Counting Sections 1.1-1.3 HW 1 due Sept 4: Chpt 1: 1, 4, 8, 11, 12, 19, 24, 25, 28, T2, T3 T5, T8, T11
August 28 Permutations and Combinations Section 1.4
August 30 Binomial and Multinomial Coefficients Section 1.5
September 4 Sample spaces; Probabilities Sections 2.1-2.3 HW 2 due Sept 11: Chpt 2: 1, 2, 3, 7, 8, 12, 15, 16, T2, T3 T5, T9
September 6 Properties of probabilities Sections 2.4, 2.5
September 9 Equiprobable sample spaces Section 2.5
September 11 Conditional probability Section 3.1, 3.2 Homework 3 due Sept 18: Chpt 2; 23, 28; Chpt 3, 1, 2, 6, 8, 9, 10, T5 T4, T7(a)
September 13 Conditioning on probability; Bayes's formula Section 3.2, 3.3
September 16 Law of total probability Sections 3.3
September 18 Independent events Section 3.4 Study for Exam 1: 1.2-1.5,2.2-2.5,3.1-3.3
September 20 Exam 1 Have a great weekend!
September 23 Trials, P( |A) as a probability function, Intro to Random Variables Sections 3.4, 4.1 Test corrections due Wednesday, Sept 25
September 25 Random variables Section 4.1 HW 4 due Oct 2: Chpt 3; 59, 62; Chpt 4; 1, 4, 5, 6, 17, 18, 19, 21, 25, 27, T3 T4, T5
September 27 Discrete Random Variables Section 4.2
September 30 Expectation Section 4.3
October 2 Expectation of a function of a random variable Section 4.4 HW 5 due Oct 9; Chpt 4, 37, 38, 41, 43, 44, 51, 52, T7, T8 T10, T14
October 4 Variance Section 4.5
October 7 Bernoulli and Binomial Random Variables Section 4.6
October 9 Poisson random variables Section 4.7 HW 6 due Oct 16: Chpt 4, 59, 60, 63; Chpt 5, 1,2,3,4,5, T1 Chpt 4, 62
October 11 Other discrete random variables Section 4.8
October 14 Continuous random variables Section 5.1
October 16 Review Study for Exam 2: Sections 3.4, 4.1-4.8, 5.1
October 18 Exam 2
October 21 Expectation and variance of continuous rvs Section 5.2 Test corrections due Wednesday, Sept 25
October 23 Uniform random variables Section 5.3 HW 7 due Nov. 1: Chpt 5; 7, 8, 11, 12, 15, 17, 18, 19, T1, T7 T2, T3
October 25 Normal random variables Section 5.4
October 28 Abnormal snow variables
October 30 More abnormal snow variables
Nov. 1 Normal approx to binomial rvs Section 5.4.1 HW 8 (half hw) due Nov 5: Chpt 5: 22, 25, 26, 28, T9 T11
Nov. 4 Exponential random variables, Gamma distribution Sect 5.5, 5.6
Nov 6 Dist of functions of random variables; Joint dist Sect 5.7, Sect 6. 1 HW 9 due Nov 13; Chpt 5: 32, 34, 41; Chpt 6: 1, 2, 6, 9, T1, T2 Chpt 6: T4, T6
Nov 8 Joint distributions Sect 6.1
Nov 11 Independent Random Variables Sect 6.2
Nov 13 Review Study for Exam 3: Sections 5.2-5.7, 6.1-6.2
Nov 15 Exam 3
Nov 18 Distribution of a sum of random variables Sect 6.3 Test corrections due Nov 20
Nov 20 Conditional distributions: discrete case Sect 6.4 HW 10 due Dec 4: Chpt 6, 11, 13, 19, 20, 22, 23, 28, 29, 39, 40, 41, 42 Chpt 6: 24, T7
Nov 22 Conditional distributions: continuous case Sect 6.5
Dec 2 Expectation of sum of random variables redux Sect 7.2
Dec 4 Covariance Sect 7.4 HW 11 due Dec 11: Chpt 7; 1, 5, 7, 16, 30, 33, 37, 38, 40, 45; Chpt 8, 1 Chpt 8, 6
Dec 6 Correlation Sect 7.4