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Welcome to Probability Theory! For course info and policies, please see the syllabus. For grades, log into Moodle. If you need help or have questions, please contact Prof. Wright.

**Prof. Wright's office hours:** Mon. 12:45–2:00pm in RNS 160R, Tues. 10–11am on Zoom, Wed. 3:15–4:15 in RMS 405, Thurs. 10–11am in RMS 405, Fri. 12:45–2:00pm in RNS 160R, and other times by appointment

**Help sessions:** Mon. and Thurs. 7–8pm in Tomson 186

February 9

- Complete the Introductory Survey, if you haven't done so already.
- Read the Syllabus and complete the Syllabus Quiz (on Moodle).
- From the textbook, read §1.1 and §1.2, at least through page 10, and watch the accompanying video Sample Spaces, Events, and Axioms.
*Answer the three questions embedded in the video before class on Friday.* - Take a look at Homework 1, which is due Monday.

February 11

- Complete Homework 1 (due Monday).
- Read §1.3 in the textbook, and watch the accompanying video Counting Methods.
*Answer the three questions embedded in the video before class on Monday.*

Bonus video: John Urschel-NFL Math Whiz

- Begin Homework 2 (due Friday).
- Watch the video Four Types of Couting Problems and answer the questions embedded in the video before class on Wednesday.

February 16

- Finish Homework 2 (due Friday).
- Watch the video Conditional Probability and answer the questions embedded in the video before coming to class on Friday. Also read the examples in §1.4 in the textbook.

- Begin Homework 3 (due Wednesday).
- Watch the video Independence and answer the questions embedded in the video before coming to class on Monday. Also read §1.5 in the textbook.

February 21

Bonus video: Eugenia Cheng on The Late Show

- Finish Homework 3 (due Wednesday).
- Watch the video Simulation of Random Events and answer the questions embedded in the video before coming to class on Wednesday. Also read §1.6 in the textbook.
- If possible, bring a computer with Mathematica or R to class on Wednesday.

- Watch the video Discrete Random Variables and answer the questions embedded in the video before coming to class on Monday. Also read §2.1 and §2.2 in the textbook.
- Begin Homework 4 (due Monday).

February 25

- Watch the video Expected Value and Standard Deviation and answer the questions embedded in the video before coming to class on Wednesday. Also read §2.3 in the textbook.
- Finish Homework 4 (due Monday).

Bonus: video How Not to Be Wrong: The Power of Mathematical Thinking - with Jordan Ellenberg and article The Psychology of Statistics by Jordan Ellenberg

- Review the solutions from the problems in class, especially those involving Chebyshev's Inequality.
- Watch the video The Binomial Distribution and answer the questions embedded in the video before coming to class on Friday. Also read §2.4 in the textbook.
- Begin Homework 5 (due Friday).

March 2

- Watch the video The Poisson Distribution and answer the questions embedded in the video before coming to class on Monday. Also read §2.5 in the textbook.
- Finish Homework 5 (due Friday).
- Read the Exam 1 Information.

- Complete Homework 6. This homework will not be collected, but it is important for your own practice as you prepare for Exam 1.
- Review the Exam 1 Information.

Bonus video: Hannah Fry — Beautiful equations: how insects walk on water and galaxies form

March 9

**Exam 1:**covering sections 1.1 through 2.4 in the textbook

- Watch the video The Hypergeometric Distribution and answer the questions embedded in the video. Also read §2.6.1 in the textbook.

March 11

- Watch the video The Negative Binomial Distribution and answer the questions embedded in the video. Also read §2.6.2 in the textbook.
- Begin Homework 7 (due Wednesday).

March 14

Bonus videos: Satyan Devadoss — Blue Collar Mathematics and Mage Merlin's Unsolved Mathematical Mysteries

- Watch the video Moment Generating Functions, Part 1 and answer the questions in the video. Also read §2.7 in the textbook.
- Finish Homework 7 (due Wednesday).

- Watch the video Moment Generating Functions, Part 2 and answer the questions in the video. Re-read §2.7 in the textbook.
- Begin Homework 8 (due Monday).
- If possible, bring a computer with Mathematica to class on Friday.

March 18

- Watch the video Simulation of Discrete Random Variables and answer the questions in the video. Also read §2.8 in the textbook.
- Finish Homework 8 (due Monday).
- Bring a computer with Mathematica or R to class on Monday.

Bonus video: Moon Duchin: "Political Geometry"

- Watch the video Continuous Random Variables and answer the questions in the video. Also read §3.1 in the textbook.
- Begin Homework 9 (due Friday).

March 23

- Review the problems and solutions from class.
- Watch the video Expected Values of Continuous Random Variables and answer the questions in the video. Also read §3.2 in the textbook.
- Finish Homework 9 (due Friday).

- Watch the video The Normal Distribution and answer the questions in the video. Also read §3.3 in the textbook.

April 4

Bonus video: Francis Su — Mathematics for Human Flourishing

- Watch the video The Exponential Distribution and answer the questions in the video. Also read §3.4.1 in the textbook.
- Complete Homework 10 (due Wednesday).

- Watch the video The Gamma Distribution and answer the questions in the video. Also read §3.4.2 in the textbook.
- Begin Homework 11 (due Monday).

April 8

- Review the Exam 2 Information.
- Finish Homework 11 (due Monday).

Bonus video Interview with Karen Uhlenbeck and article Karen Uhlenbeck, Uniter of Geometry and Analysis, Wins Abel Prize

April 13

**Exam 2**: covering sections 2.1 through 3.4 in the textbook

- Watch the video Transformation of a Random Varible. Also read §3.7 in the textbook.

April 15

- Watch the video Simulation of Continuous Random Variables and answer the questions in the video before class on Wednesday. Also read §3.8 in the textbook.
- Begin Homework 12 (due Wednesday).

April 18

Bonus video: Yitang Zhang: An Unlikely Math Star Rises

- Watch the video Joint Distributions and answer the questions in the video before class on Friday. Also read §4.1 in the textbook.
- Finish Homework 12 (due Wednesday).

- Watch the video Covariance and Correlation and answer the questions in the video before class on Monday. Also read §4.2 in the textbook.
- Begin Homework 13 (due Monday).

April 22

- Watch the video Linear Combinations, Part 1 and answer the questions in the video before class on Wednesday. Also read from the beginning of §4.3 up to the §4.3.1 heading.
- Finish Homework 13 (due Monday).

Bonus video: MEET a Mathematician! - Trachette Jackson

- Watch the video Linear Combinations, Part 2 and answer the questions in the video before class on Friday. Also read the rest of §4.3 in the textbook.
- Begin Homework 14 (due Friday).

April 27

- Watch the video Conditional Distributions and answer the questions in the video before class on Monday. Also read §4.4 in the textbook.
- Finish Homework 14 (due Friday).

- Watch the video The Central Limit Theorem and answer the questions in the video before class on Wednesday. Also read §4.5 through the end of §4.5.3.
- Begin Homework 15 (due Wednesday).

May 2

Bonus: Why is Mathematics Useful — Robert Ghrist, and Applied Dynamical Systems Vol. 1

- Watch the video The Law of Large Numbers and answer the questions in the video before class on Friday. Also read §4.5.4 in the textbook.
- Finish Homework 15 (due Wednesday).

- Watch the video Bivariate Transformations, Part 1 and answer the questions in the video before class on Monday. Also read §4.6 in the textbook.
- Begin Homework 16 (due Monday).

May 6

- Watch the video Bivariate Transformations, Part 2 and answer the questions in the video before class on Wednesday. Re-read §4.6 in the textbook.
- Finish Homework 16 (due Monday).

Bonus: Susan D'Agostino book and interview

- Watch the video Order Statistics and answer the questions in the video before class on Monday. Also read §4.9 in the textbook.
- Begin Homework 17 (due next Monday).

May 11

- Work on Homework 17 (due Monday).
- Read the final exam information.

- Finish Homework 17 (due Monday).
- Read the final exam information. Study for the final exam.

Bonus: Living Proof: Stories of Resilience Along the Mathematical Journey

May 20

**Final Exam 9:00–11:00am**