Schedule

All sections are from Introduction to Probability by David F. Anderson, Timo Seppalainen and Benedek Valko.

All videos are posted in blackboard and all problem sessions are 9-11:15AM on zoom (see blackboard for zoom link).

All written homework assignments are submitted through gradescope. For webwork assignments go to the webwork link posted on blackboard. You must abide by the Homework Rules.

• Week of May 20 (week 1)

  Topics: Sets; Counting; Sample spaces and probabilities; Equally likely outcomes; Infinitely many outcomes; Consequences of the rules of probability; Conditional probability; Bayes’ formula

  Monday: Lecture on appendix B, appendix C, 1.1, 1.2

  Tuesday: Lecture on 1.2, 1.3, 1.4

  Wednesday: Lecture on 1.4, 2.1, 2.2. Webwork and written HW 1 due at 1pm: Homework 1.

  Thursday: Lecture on 2.1, 2.2 (cont.)

  Friday: Webwork and written HW 2 due at 1pm: Homework 2.

• Week of May 27 (week 2)

  Topics: Random variables; Independence; Independent Trials; Further topics and examples of independence; Probability density function; Cumulative Distribution Function; Expectation; Variance

  Monday: NO CLASS – Memorial Day Holiday

  Tuesday: Lecture on 1.5, 2.3, 2.4.

  Wednesday: Lecture on 2.5, 3.1, 3.2. Webwork and written HW 3 due at 1pm: Homework 3.

  Thursday: Lecture on 3.3, 3.4.

  Friday: Webwork and written HW 4 due at 1pm: Homework 4.

• Week of June 3 (week 3)

  Topics: The Gaussian distribution; Normal approximation; Law of large numbers; Applications of the normal approximation; Poisson Approximation.

  Monday: Lecture on 3.5, 4.1.

  Tuesday: Lecture on 4.2, 4.3, 4.4.

  Wednesday: Exam Review. Webwork and written HW 5 due at 1pm: Homework 5.

  Thursday: Exam 9AM-10:25AM. Lecture on 4.4 (cont.), 10:35-11:15AM.

  Friday: No homework due.

MIDTERM

• Thursday, June 6, 9AM-10:25AM, on gradescope.

• Week of June 10 (week 4)

  Topics: Exponential distribution; Joint distribution of discrete RVs; Review of Double Integrals; Jointly continuous RVs; Joint distributions and independence; Linearity of Expectation; Expectation and Independence

  Monday: Lecture on 4.5, 6.1.

  Tuesday: Lecture on 6.2.

  Wednesday: Lecture on 6.2 (cont.), 6.3. Webwork and written HW 6 due at 1pm: Homework 6.

  Thursday: Lecture on 8.1, 8.2.

  Friday: Webwork and written HW 7 due at 1pm: Homework 7.

• Week of June 17 (week 5)

  Topics: Covariance and correlation; Moment generating functions; Sums of Independent RVs; Estimating tail probabilities

  Monday: Lecture on 8.4.

  Tuesday: Lecture on 5.1, 7.1.

  Wednesday: NO CLASS – Juneteenth Holiday. HW 8 deadline extended.

  Thursday: Lecture on 8.3, 9.1. Webwork and written HW 8 due at 1pm: Homework 8.

  Friday: Webwork and written HW 9 due at 1pm: Homework 9.

• Week of June 24 (week 6)

  Topics: Law of Large Numbers; Central Limit Theorem

  Monday: Lecture on 9.2, 9.3.

  Tuesday: Exam review. Webwork and written HW 10 due at 1pm: Homework 10
  See the review sheet here for more details on the exam: final exam review.

  Wednesday: Exam review.

  Thursday: Final Exam, 9AM-12PM.

Final Exam

• Thursday, June 27, 9AM-12PM, on gradescope.