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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. 11–12, Tues. 1:30–2:30, Wed. 10:30–11:30, Thurs. 10–11, Fri. 12:30–1:30 (see Moodle for the Zoom link)

**Help sessions:** Tuesdays 6:30–8:00pm (see Moodle for the link)

August 21

- Complete the Introductory Survey, if you haven't done so already.
- Read the Syllabus and complete the Syllabus Quiz.
- 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 Monday.* - Take a look at Homework 1, which is due Wednesday, August 26.

August 24

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

Bonus video: John Urschel-NFL Math Whiz

- Review the solutions to the problems from class.
- Begin Homework 2 (due Monday).
- Watch the video Four Types of Couting Problems and answer the questions embedded in the video before class on Friday.

August 28

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

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

September 2

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

- Review the solutions to the problems from class.
- Begin Homework 3 (due Friday).
- Watch the video Simulation of Random Events and answer the questions embedded in the video before coming to class on Friday. Also read §1.6 in the textbook.
- On Friday, we meet in RNS 410. Wear your face mask, and bring your computer with R or Mathematica.

- Please complete the Week 3 Survey. Answers are voluntary and anonymous.
- 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 Wednesday).

September 7

- Please complete the Week 3 Survey, if you haven't done so already. Answers are voluntary and anonymous.
- 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 Wednesday).

Bonus video: Yitang Zhang: An Unlikely Math Star Rises

- 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 Monday).

September 11

- Review the solutions from the problems in class.
- 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 Monday).
- Take a look at Homework 6 (due Wednesday).

- Complete Homework 6 (due Wednesday).
- Review the Exam 1 Information. Talk with Prof. Wright if you have any questions.

Bonus video: Moon Duchin: "Political Geometry"

September 18

**Exam 1:**take-home, covering sections 1.1 through 2.4 in the textbook

- Finish Exam 1. You may either hand in your exam at class on Monday, or submit your work electronically using this Moodle assignment link.
- Watch the video The Hypergeometric Distribution and answer the questions embedded in the video. Also read §2.6.1 in the textbook.

September 21

- Review the solutions to the problems from class on Monday. (See notes and solutions above.)
- 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 Friday).

September 23

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

- 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 Friday).

- 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 Wednesday).

September 28

- 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 Wednesday).

Bonus video: Talitha Washington — Big Ideas in STEM Innovation

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

October 2

- 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 Monday).

- Watch the video The Normal Distribution and answer the questions in the video. Also read §3.3 in the textbook.
- Begin Homework 10 (due Friday).

October 7

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

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

- 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 Wednesday).

October 12

Extra credit opportunity: Attend one or more student presentations at the Northfield Undergraduate Mathematics Symposium (NUMS) on Tuesday, Oct. 13, 3:30-7:00pm. See here for details.

- Review the Exam 2 Information. Talk with Prof. Wright if you have questions.
- Finish Homework 11 (due Wednesday).

Bonus video: Dr. Erika Camacho on *Horizonte* and LATMATH: Erika Camacho - "Modeling Photoreceptor Death and Rescue"

Extra credit opportunity: attend Explore MSCS on Thursday, Oct. 15, 4:00–5:00pm to earn 2 extra-credit points for your homework grade.

October 16

**Exam 2**: take-home, covering sections 2.1 through 3.4 in the textbook

- Finish Exam 2. You may either hand in your exam at class on Monday, or submit your work electronically via this Moodle link.
- Watch the video Transformation of a Random Varibles. Also read §3.7 in the textbook.

October 19

- 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 Friday).

October 21

Bonus video: Francis Su — Mathematics for Human Flourishing

- 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 Friday).

- 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 Wednesday).

October 26

MSCS Colloquium: Monday, 3:15–4:15pm

- 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 Wednesday).

Math Grad School Info Night: Thursday, 5–6pm

- 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 Monday).

October 30

- 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 Monday).

MSCS Colloquium: Monday, 3:30–4:30pm

- 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 Friday).

November 4

Bonus video: Digital Neuroscientist of the Future | Kathryn Hess Bellwald | TEDxLugano and Kathryn Hess Interview (AMS Notices)

- 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 Friday).

- 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 Wednesday).

November 9

MSCS Colloquium: "Sharing Secrets" on Monday, November 9, 3:30–4:30pm

- 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 Wednesday).

Bonus video: The World's Best Mathematician (*) - Numberphile and Terry Tao's Blog

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

November 13

- Finish Homework 17 (due Monday).

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

- Complete the Final Exam. Scan and upload your exam to the Final Exam link on Moodle.
- Please complete the Course Evaluation.

November 19

**Final exam due at 4:00pm**