Nhan D. V. Nguyen

Weekly topics

Introduction

Learning targets

Exams

Grading criteria

The Poster

How to learn

All course materials, including the textbook, class preps, handouts, lessons, classwork, homework, and exams, are available on Canvas.

Topics for Week 1

Introduction
The principle of counting
Permutations
Combinations
Multinomial coefficients

Before class meetings

Read Textbook Chapter 1 and Handout 01.
Create an Clicker Student account.

During class meetings

Complete Handout 01.
Answer Clicker polls.
Complete Classwork 01 and Classwork 01I.

After class meetings

Review Lesson 01.
Complete Exercise 01.

Topics for Week 2

1. Sample space and events
2. Axioms of probability

Before class meetings

Read Textbook Chapter 2 and Handout 02.
Submit Class-prep 01.

During class meetings

Complete Handout 02.
Answer Clicker polls.
Complete Classwork 02 and Classwork 02I.

After class meetings

Review Lesson 02.
Review Class-prep 01 Solutions.
Complete Exercise 02.

Topics for Week 3

1. Conditional probability
2. Bayes' formula

Before class meetings

Read Textbook 3.1-3.3, and Handout 03.
Submit Class-prep 02.

During class meetings

Complete Handout 03.
Answer Clicker polls.
Complete Classwork 03 and Classwork 03I.

After class meetings

Review Lesson 03.
Review Class-prep 02 Solutions.
Complete Exercise 03.

Topics for Week 4

1. Independent events
2. Random variables

Before class meetings

Read Textbook 3.4-4.1 and Handout 04.
Submit Class-prep 03.

During class meetings

Complete Handouts 04.
Answer Clicker polls.
Complete Classwork 04 and Classwork 04I.

After class meetings

Review Lessons 04.
Review Class-prep 03 Solutions.
Complete Exercise 04.

Topics for Week 5

1. Discrete random variables
2. Expected value

Before class meetings

Read Textbook 4.2-4.4 and Handout 05.
Submit Class-prep 04.
Submit Homework 1.

During class meetings

Complete Handouts 05.
Answer Clicker polls.
Complete Classwork 05 and Classwork 05I.

After class meetings

Review Lessons 05.
Review Class-prep 04 Solutions.
Complete Exercise 05.

Topics for Week 6

1. Midterm Exam 1
2. Variance
3. Bernoulli and binomial random variables

Before class meetings

Review for Midterm Exam 1.
Read Textbook 4.5-4.6 and Handout 06.

During class meetings

Complete Midterm Exam 1.
Complete Handouts 06.
Answer Clicker polls.
Complete Classwork 06 and Classwork 06I.

After class meetings

Review Lessons 06.
Review Exam 1 Solutions.
Complete Exercise 06.

Topics for Week 7

1. Poisson random variables
2. Geometric and negative binomial random variable
3. Hypergeometric random variables

Before class meetings

Read Textbook 4.4-4.5 and Handout 07.
Submit Class-prep 05.
Submit the title and abstract of the poster.

During class meetings

Complete Handouts 07.
Answer Clicker polls.
Complete Classwork 07 and Classwork 07I.

After class meetings

Review Lessons 07.
Review Class-prep 05 Solutions.
Complete Exercise 07.

Topics for Week 8

1. Continuous random variables
2. Expectation and variance

Before class meetings

Read Textbook 5.1-5.2, Integration review, and Handout 08.
Submit Class-prep 06.
Submit Homework 2.

During class meetings

Complete Handouts 08.
Answer Clicker polls.
Complete Classwork 08 and Classwork 08I.

After class meetings

Review Lessons 08.
Review Class-prep 06 Solutions.
Complete Exercise 08.

Topics for Week 9

1. Uniform random variables
2. Normal random variables
3. Exponential random variables

Before class meetings

Read Textbook 5.3-5.6 and Handout 09.
Submit Class-prep 07.
Submit Homework 3.

During class meetings

Complete Handouts 09.
Answer Clicker polls.
Complete Classwork 09 and Classwork 09I.

After class meetings

Review Lessons 09.
Review Class-prep 07 Solutions.
Complete Exercise 09.

Topics for Week 10

1. Midterm Exam 2
2. Joint distribution functions
3. Independent random variables

Before class meetings

Review for Midterm Exam 2.
Read Textbook 6.2-6.2 and Handout 10.
Submit Class-prep 08.

During class meetings

Complete Midterm Exam 2.
Complete Handouts 10.
Answer Clicker polls.
Complete Classwork 10 and Classwork 10I.

After class meetings

Review Lessons 10.
Review Class-prep 08 Solutions.
Complete Exercise 10.

Topics for Week 11

1. Sums of independent random variables
2. Conditional distributions

Before class meetings

Read Textbook 6.3-6.5 and Handout 11.
Submit Class-prep 09.
Submit the first draft of the poster.

During class meetings

Complete Handouts 11.
Answer Clicker polls.
Complete Classwork 11 and Classwork 11I.

After class meetings

Review Lessons 11.
Review Class-prep 09 Solutions.
Complete Exercise 11.

Topics for Week 12

1. Expectation of sums of random variables
2. Moments of the number of events that occur

Before class meetings

Read Textbook 7.1-7.3 and Handout 12.
Submit Class-prep 10.
Submit Homework 4.

During class meetings

Complete Handouts 12.
Answer Clicker polls.
Complete Classwork 12 and Classwork 12I.

After class meetings

Review Lessons 12.
Review Class-prep 10 Solutions.
Complete Exercise 12.

Topics for Week 13

1. Covariance and correlations
2. Conditional expectation
3. Moments generating functions

Before class meetings

Read Textbook 7.4-7.7 and Handout 13.
Submit Class-prep 11.

During class meetings

Complete Handouts 13.
Answer Clicker polls.
Complete Classwork 13 and Classwork 13I.

After class meetings

Review Lessons 13.
Review Class-prep 11 Solutions.
Complete Exercise 13.

Topics for Week 14

1. Markov and Chebyshev inequalities
2. The weak law of large numbers
3. The central limit theorem

Before class meetings

Read Textbook 8.2-8.3 and Handout 14.
Submit Class-prep 12.

During class meetings

Complete Handouts 14.
Answer Clicker polls.
Complete Classwork 14 and Classwork 14I.

After class meetings

Review Lessons 14.
Review Class-prep 12 Solutions.
Complete Exercise 14.

Topics for Week 15

1. The strong law of large numbers
2. Final exam

Before class meetings

Read Textbook 8.4-8.5 and Handout 15.
Submit Homework 5.
Submit the final poster.

During class meetings

Complete Handouts 15.
Answer Clicker polls.
Represent the poster.

After class meetings

Review Lessons 15.
Complete Exercise 15.
Complete the final exam.

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