Course Schedule

Comprehensive schedule of topics, assignments, and important dates for the Probability & Statistics course.

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Part 1

Probability Basics

Introduction to Counting

21 Bahman

Probability Basics

Probability Principles, Conditional Probability, Bayes' Theorem

23 Bahman

Probability Basics

Total Probability Law, Event Independence

28 Bahman

Probability Basics

Random Variables, Probability Mass Function, Cumulative Distribution Function, Random Variable Independence

30 Bahman

Probability Basics

Expected Value, LOTUS, Variance, Uniform Random Variable

5 Esfand

Probability Basics

Bernoulli Random Variable, Binomial Random Variable, Geometric Random Variable

7 Esfand

Probability Basics

Hypergeometric Random Variable, Poisson Random Variable

12 Esfand

Part 2

Moments and Continuous Random Variables

Moments, Moment Generating Function

14 Esfand

Moments and Continuous Random Variables

Probability Density Function, Cumulative Distribution Function

19 Esfand

Moments and Continuous Random Variables

Continuous Uniform Random Variable

21 Esfand

Moments and Continuous Random Variables

Exponential Random Variable, Normal Random Variable

26 Esfand

Part 3

Joint Distributions and CLT

Joint, Conditional, and Marginal Distributions

28 Esfand

Joint Distributions and CLT

Two-dimensional LOTUS, Covariance and Correlation

17 Farvardin

Joint Distributions and CLT

Central Limit Theorem

19 Farvardin

Joint Distributions and CLT

Inequalities, Law of Large Numbers

24 Farvardin

Part 4

Conditional Variance and Multivariate Distributions

Conditional Expectation and its Properties, Conditional Variance

26 Farvardin

Conditional Variance and Multivariate Distributions

Variable Transformation, Multinomial Distribution

31 Farvardin

Conditional Variance and Multivariate Distributions

Multivariate Normal Distribution

2 Ordibehesht

Conditional Variance and Multivariate Distributions

Convolution, Beta Distribution

7 Ordibehesht

Conditional Variance and Multivariate Distributions

Gamma Distribution, Relationship between Beta and Gamma Distributions

9 Ordibehesht

Part 5

Statistics and Estimation

Introduction to Statistics

14 Ordibehesht

Statistics and Estimation

Point Estimation and ML Estimator

16 Ordibehesht

Statistics and Estimation

Interval Estimation, Confidence Interval

21 Ordibehesht

Statistics and Estimation

Bayesian Inference and MAP Estimator, Conjugate Prior Distribution

23 Ordibehesht

Part 6

Statistical Tests

Hypothesis Testing, p-value

28 Ordibehesht

Statistical Tests

Fisher Test, Z-test

30 Ordibehesht

Statistical Tests

Chi-squared Distribution and Test

4 Khordad

Statistical Tests

t Distribution and Test

6 Khordad

Statistical Tests

Nonparametric Tests, Permutation Test, p-value Correction

11 Khordad

Statistical Tests

Make-up Class

13 Khordad