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
td>
| 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
|
| |