FALL 2024

MATH 350: Probability

Tentative Detailed Class Schedule

Class #	Date	Topic
1	9/4	Introduction
2	9/6	Discrete Probability Distributions
3	9/9	Random Variables; Sample Spaces
4	9/11	Axioms of Probability; Uniform Distribution
5	9/13	Monte Carlo Procedures
6	9/16	Continuous Probability Densities
7	9/18	Density Functions of Continuous Random Variables
8	9/20	Cumulative Distribution Functions of Continuous RVs
9	9/23	Counting Problems
10	9/25	Permutations
11	9/27	Combinations
12	9/30	Bernoulli Trials; Binomial Distributions
13	10/2	Hypothesis Testing; Binomial Expansion
14	10/4	Discrete Conditional Probability
15	10/7	Independence; Joint Distributions
16	10/9	Bayes Formula
17	10/111	Continuous Conditional Probability
18	10/14	Joint Density and Cumulative Distribution Functions
19	10/16	Discrete Distributions: Uniform, Geometric, etc.
20	10/18	Discrete Distributions: Poisson
21	10/21	Continuous Densities: Uniform, Exponential, Gamma
22	10/23	Catch-Up Class
23	10/25	Midterm Exam
24	10/28	Functions of a Random Variable
25	10/30	Continuous Densities: Normal
26	11/1	Expected Value of a Random Variable
27	11/4	Expected Value of a Function of a Random Variable
28	11/6	Expected Value: Discrete and Continuous Random Variables
29	11/8	Variance
30	11/11	Variance: Discrete and Continuous Random Variables
31	11/13	Sums of Discrete Random Variables
32	11/15	Sums of Continuous Random Variables
33	11/18	Law of Large Numbers; Chebyshev Inequality
34	11/30	Law of Large Numbers: Continuous Variables
35	11/22	Central Limit Theorem for Binomial Distribution
36	11/25	Applications to Statistics
37	12/2	Central Limit Theorem for Discrete Independent Trials
38	12/4	Central Limit Theorem for Continuous Independent Trials
39	12/6	Generating Functions
40	12/9	Generating Functions; Proof of Central Limit Theorem
41	12/11	Proof of Central Limit Theorem
42	12/13	Catch-Up Class
	12/18	Final Exam (2 p.m.)