Computational Probability - Fall 2025

This page contains an outline of the topics, content, and assignments for the semester. Note that this schedule will be updated as the semester progresses, and the timeline of topics and assignments might be updated throughout the semester.

WEEK

DATE

TOPIC

MATERIALS

DUE

1 Tue, Aug 26

Introduction, Review, Expectations

💻Chapt 2 Review



Thu, Aug 28

R Programming

💻Chapt 1



Fri, Aug 29

📝 [HW 0]

2 Tue, Sep 2

Probability of Events, Conditional Probability

💻Chapt 3



Thu, Sep 4

Rules of Probability, Disjoint and Independent




Fri, Sep 5

📝 HW 1 at 11:50 pm

3 Tue, Sep 9

Random Variables, Discrete RV




Thu, Sep 11

Continous RV, WLLN, MGF




Fri, Sep 12

📝 HW 2 at 11:50 pm

4 Tue, Sep 16

Discrete Univariate Distributions:
Uniform, Binomial, Poisson

💻Chapt 4



Thu, Sep 18

Cont. Poisson, Geometric, Negative Binomial




Fri, Sep 19

📝 HW 3 at 11:50 pm

5 Tue, Sep 23

Continiuous Univariate Distributions:
Uniform (Generating Rand #), Exponential




Thu, Sep 25

Gamma, etc. Normal Distribution




Fri, Sep 26

📝 HW 4 at 11:50 pm

6 Tue, Sep 30

Multivariate Probability Distributions

💻Chapt 5



Thu, Oct 2

Conditional Distributions




Fri, Oct 3

📝 HW 5 at 11:50 pm

7 Tue, Oct 7

Covariance and Correlation, Multinomial Dist.




Thu, Oct 9

Multivariate Normal Distribution




Fri, Oct 10

📝 HW 6 at 11:50 pm

8 Tue, Oct 14

Sampling, Finalize Project Teams

💻Chapt 6



Thu, Oct 16

🍁 Fall Break



9 Tue, Oct 21

Review for Exam, Estimators, Plug-in Est.




Thu, Oct 23

📑 Exam


10 Tue, Oct 28

Return Exam, Sampling Distribution of X̄

📖CLT - Sketch of Proof



Thu, Oct 30

Sampling Distributions of X̄₁-X̄₂, p, χ²



11 Tue, Nov 4

Point Estimation, MOM, MLE

💻Chapt 7



Thu, Nov 6

Continue MLE




Fri, Nov 7

📝 HW 7 at 11:50 pm

12 Tue, Nov 11

Finish MLE, Going back to Chapter 6

Back to 💻Chapt 6



Thu, Nov 13

Transformation of RVs: Change of Variable (CV)



13 Tue, Nov 18

More on χ² and t Distributions, Bivariate CV




Thu, Nov 20

Bivariate CV, t, χ² and F Distributions




Fri, Nov 21

📝 HW 8 at 11:50 pm

14 Tue, Nov 25

Finish Chapter 7

Back to 💻Chapt 7



Thu, Nov 27

🦃🍂🥧🙏 Thanksgiving Break



15 Tue, Dec 2

Why Simulation

📖Why Simulation



Thu, Dec 4

A lecture on GitHub and R package!


📝 HW 9 at 12:00 pm

16 Mon, Dec 8

10:30pm - 12:30 pm

📑 Final Exam