Schedule

Notes

• The schedule is tentative and may change as the course progresses.

• All dates and times are in ET (Eastern Time).

• Section numbers are as in Introduction to Probability (4th Edition) by David F. Anderson, Timo Seppäläinen and Benedek Valkó.

• There will usually be two webwork assignments and two written assignments every week. Below, Webwork N refers to the Nth webwork assignment and Homework N refers to the Nth written assignment.

Week of May 15th (Week 1)

• Classes begin on Monday, May 15th.

• Office Hours: WR 4:00 PM – 5:00 PM, via Zoom.

• Webwork 01 is due Wednesday, May 17th at 11:00 PM.

• Homework 01 is due Friday, May 19th at 11:00 PM.

• Webwork 02 is due Saturday, May 20th at 11:00 PM.

Monday, May 15th

• Topics: Appendix B: Set notations and operations; Appendix C: Counting; §1.1 Sample spaces and probabilities.

• Notes: (Lecture 1)

• Video: (Panopto0, Panopto1)

Tuesday, May 16th

• Topics: Appendix C: Counting (contd); §1.1 Sample spaces and probabilities (contd); §1.2 Random Sampling; §1.3 Infinitely many outcomes.

• Notes: (Lecture 2)

• Video: (Panopto2, Panopto2extra)

Wednesday, May 17th

• Topics: §1.3 Infinitely many outcomes (contd); §1.4 Consequences of the rules of probability.

• Notes: (Lecture 3)

• Video: (Panopto3, Panopto3extra)

Thursday, May 18th

• Topics: §2.1 Conditional probability; §2.2 Bayes’ formula.

• Notes: (Lecture 4)

• Video: (Panopto4)

Week of May 22nd (Week 2)

• Office Hours: TR 11:15 AM – 12:15 PM, T 3:00 PM – 4:00 PM via Zoom.

• Webwork 03 is due Tuesday, May 23rd at 11:00 PM.

• Homework 02 is due Tuesday, May 23rd at 11:00 PM.

• Webwork 04 is due Friday, May 26th at 11:00 PM.

• Homework 03 is due Saturday, May 27th at 11:00 PM.

• Class hours on Wednesday, May 24th are cancelled. Instead, Lecture 7 will be uploaded directly to Panopto the previous night.

Monday, May 22nd

• Topics: §1.5 Random variables: a first look; §2.3 Independence; §2.4 Independent trials.

• Notes: (Lecture 5)

• Video: (Panopto5)

Tuesday, May 23rd

• Topics: §3.1 Probability distributions of random variables; §3.2 Cumulative distribution function.

• Notes: (Lecture 6)

• Video: (Panopto6)

Wednesday, May 24th

• Topics: §3.3 Expectation; §3.4 Variance.

• Notes: (Lecture 7)

• Video: (Panopto7.1, Panopto7.2, Panopto7.3, Panopto7.4, Panopto7.5)

Thursday, May 25th

• Topics: §3.5 Gaussian distribution; §4.1 Normal approximation.

• Notes: (Lecture 8)

• Video: (Panopto8)

Week of May 29th (Week 3)

• Office Hours: TW 11:15 AM – 12:15 PM via Zoom.

• Homework 04 is due Tuesday, May 30th at 11:00 PM.

• Webwork 05 is due Wednesday, May 31st at 11:00 PM.

• Homework 05 is now due Monday, June 5th at 11:00 PM (earlier due Saturday, June 3rd).

Monday, May 29th

• No Class (Memorial Day)

Tuesday, May 30th

• Topics: §4.2 Law of Large Numbers, §4.3 Applications of the normal approximation, §4.4 Poisson approximation.

• Notes: (Lecture 9)

• Video: (Panopto9)

Wednesday, May 31st

• Topics: §4.5 Exponential distribution.

• Review for Midterm.

• Notes: (Lecture 10, Worked Sample)

• Video: (Panopto10, Panopto10extra)

Thursday, June 1st

• Midterm (will cover all material until §4.4).

Week of June 5th (Week 4)

• Office Hours: TR 11:15 AM – 12:15 PM via Zoom.

• Homework 05 is due Monday, June 5th at 11:00 PM (postponed from Week 3).

• Homework 06 is due Wednesday, June 6th at 11:00 PM.

• Webwork 06 is due Wednesday, June 6th at 11:00 PM.

• Webwork 07 is due Saturday, June 10th at 11:00 PM.

• Homework 07 is now due Tuesday, June 13th at 11:00 PM (earlier due Sunday, June 11th).

Monday, June 5th

• Topics: §6.1 Joint distribution of discrete random variables; Review of Double and Multiple Integrals.

• Notes: (Lecture 11)

• Video: (Panopto11)

Tuesday, June 6th

• Topics: Review of Double and Multiple Integrals (contd); §6.2 Jointly continuous random variables.

• Notes: (Lecture 12)

• Video: (Panopto12)

Wednesday, June 7th

• Topics: §6.2 Jointly continuous random variables (contd); §6.3 Joint distribution and independence.

• Notes: (Lecture 13)

• Video: (Panopto13)

Thursday, June 8th

• Topics: §6.3 Joint distribution and independence (contd); §8.1 Linearity of expectation; §8.2 Expectation and independence.

• Notes: (Lecture 14)

• Video: (Panopto14)

Week of June 12th (Week 5)

• Office Hours: MW 11:15 AM – 12:15 PM via Zoom.

• Homework 07 is now due Tuesday, June 13th at 11:00 PM (postponed from Week 4).

• Webwork 08 is due Wednesday, June 14th at 11:00 PM.

• Homework 08 is due Thursday, June 15th at 11:00 PM.

• Webwork 09 is due Saturday, June 17th at 11:00 PM.

Monday, June 12th

• Topics: §8.4 Covariance and correlation; §7.1 Sums of independent random variables.

• Notes: (Lecture 15)

• Video: (Panopto15)

Tuesday, June 13th

• Topics: §7.1 Sums of independent random variables (contd); §5.1 Moment generating function.

• Notes: (Lecture 16)

• Video: (Panopto16)

Wednesday, June 14th

• Topics: §5.1 Moment generating function (contd); §8.3 Sums and moment generating functions; §9.1 Estimating tail probabilities.

• Notes: (Lecture 17)

• Video: (Panopto17)

Thursday, June 15th

• Topics: §9.2 Law of large numbers; §9.3 Central limit theorem.

• Notes: (Lecture 18)

• Video: (Panopto18)

Week of June 19th (Week 6)

• Office Hours: TW 11:15 AM – 12:15 PM, W 4:00 PM – 5:00 PM, W 8:00 PM – 9:00 PM via Zoom.

• Webwork 10 is due Tuesday, June 20th at 11:00 PM.

• Homework 09 is due Wednesday, June 21st at 11:00 PM.

• Homework 10 (Extra Credit) is due Wednesday, June 21st at 11:00 PM.

Monday, June 19th

• No Class (Juneteenth)

Tuesday, June 20th

• Review for Final.

• Notes: (Lecture 19, Worked Sample)

• Video: (Panopto19)

Wednesday, June 21st

• No Class (Cancelled)

Thursday, June 22nd

• Final Exam (Part A will cover all material until and including §4.4, Part B will cover all material after §4.4)