STAT 270 – Probability – Fall 2019
The schedule of topics should be considered tentative until notes are posted (on Blackboard) about two days before class. The exam dates are pretty firm. Relevant sections of the optional texts are denoted as follows:
GIAM: Fields, MIT: MIT notes, and GS: Grinstead & Snell.
Links to the optional texts are available on Blackboard.
| Monday | Wednesday | Friday | |
| Week 1 (Aug. 19-23) |
Introduction to Logic
MIT: 1.2-1.3, 2.4; GIAM: 2.1 |
Connectives
MIT: 1.7; GIAM: 2.1, 2.3 |
Implications
MIT 1.7, 2.1; GIAM: 2.2 |
| Week 2 (Aug. 26-30) |
Predicates and Quantifiers
MIT: 2.2; GIAM: 2.5 |
Deductive Logic
MIT: 1.8; GIAM: 2.6-2.7 |
Methods of Proof
MIT: 1.1, 1.4-1.5, 2.1; GIAM: 2.4, 3 |
| Week 3 (Sept 2-6) |
Labor Day | Writing, Induction
MIT: 1.6, 3.1-3.2; GIAM: 3.1, 5.1-5.3 |
Algorithms
GIAM: 1.5 |
| Week 4 (Sept. 9-13) |
Algorithms, Set Theory
MIT: 2.3.1-2.3.2, 2.3.4; GIAM: 4.1-4.3 |
Set Theory
MIT: 2.3.2, GIAM: 4.3-4.4 |
Set Theory, Review
GIAM: 4.3 |
| Week 5 (Sept. 16-20) |
Test #1 | Relations and Functions
MIT: 2.3.5, 4.1-4.2 |
Relations, Graph Theory
MIT: 4.1-4.3, 4.5, 5.1 |
| Week 6 (Sept. 23-27) |
Graph Theory
MIT: 4.4-4.5, 5.2 |
Trees
MIT: 5.3 |
Counting
MIT: 9.1-9.2, 9.4, 9.6; GIAM: 7.1 |
| Week 7 (Sept. 30-Oct. 4) |
Counting
MIT: 9.2, 9.4, 10.1, 10.4; GIAM: 7.1; GS: 3.1-3.2 |
Counting, Introduction to Probability
MIT: 10.1; GIAM: 7.1; GS: 1.2 |
Basic Probability Rules
GS: 1.2 |
| Week 8 (Oct. 7-11) |
Basic Probability Rules
MIT: 12.3; GS: 1.2 |
Conditional Probability
MIT: 12.3; GS: 4.1 |
Midterm Break |
| Week 9 (Oct. 14-18) |
Conditional Probability
MIT: 12.1, 12.3; GS: 4.1 |
Independence
MIT: 12.3-12.4; GS: 4.1 |
Independence, Review
MIT: 12.4-12.5; GS: 4.1 |
| Week 10 (Oct. 21-25) |
Test #2 | Discrete Random Variables
MIT: 13.1, 13.3 |
Continuous Random Variables
GS: 2.2 |
| Week 11 (Oct. 28-Nov. 1) |
Continuous Random Variable, Expected Value
MIT: 13.5; GS: 2.2, 6.1, 6.3 |
Expected Value of a Function
MIT: 14.1; GS: 6.1-6.3 |
Variance and Percentiles
MIT: 14.7-14.8; GS: 6.2 |
| Week 12 (Nov. 4-8) |
Hypergeometric and Binomial Distributions
MIT: 13.3; GS: 5.1 |
Binomial, Geometric Distributions
GS: 5.1 |
Negative Binomial, Poisson Distributions
GS: 5.1 |
| Week 13 (Nov. 11-15) |
Uniform Exponential Distributions
GS: 5.2 |
Gamma*, Normal Distribution
GS: 5.2 |
Normal Distribution, Review
GS: 5.2 |
| Week 14 (Nov. 18-22) |
Test #3 | Joint Random Variables
GS: 7 |
Covariance and Correlation
GS: 7 |
| (Nov 25-29) | Thanksgiving Break | ||
| Week 15 (Dec. 2-6) |
Distribution of Linear Combinations
GS: 7 |
Limit Theorems
GS: 8 |
CLT, Review
GS: 9 |
| FINAL EXAM | Monday, Dec. 9, at 3:30-5:20 pm | ||
*Material to be covered as time allows.
Page last modified on: August 17, 2019