Calendar

Key Dates 

  • Quiz #1: Tu 10/16

  • Midterm (35%): Th 11/01 

  • Quiz #2: Tu 11/20

  • Quiz #3: Th 12/06 

  • Final (35%): Tu Dec 11 4-6pm  

A more detailed schedule is available below. Please check this site regularly as the sequence of topics may have to be slightly modified. 

Note: 

  • Quizzes and exams will be in the classroom.
  • There will be no make ups for quizzes (no exceptions). The lowest quiz score will be dropped from the grade calculation. 

Week

Date

Topic

   1

Th 09/27

Review of the course syllabus. Introduction and basic concepts. Sections 1.1-1.4. 

 

Tu 10/02

Definition of probability and finite sample spaces. Sections 1.5-1.6.

   2

Th 10/04

Counting methods. Combinatorial methods. Multinomial coefficients. Sections 1.7-1.9.

 

Tu 10/09

Union of events. Conditional probability and independent events. Sections 1.10 and 2.1-2.2.

   3

Th 10/11

Bayes' Theorem. Section 2.3.

 

Tu 10/16

Discrete random variables. Examples of discrete random variables. Sections 2.3, 3.1, 5.1-5.5. 

Quiz #1.

   4

Th 10/18

Examples of discrete random variables. Continuous random variables. The CDF. Sections 5.1-5.5,  and 3.2-3.3. 

 

Tu 10/23

Bivariate distributions and marginal distributions. Sections 3.4 and 3.5. 

   5

Thu 10/25

Bivariate and marginal distributions. 

 

Tu 10/30

Review

   6

Th 11/01

Midterm

 

Tu 11/06

Conditional distributions. Section 3.6 Multivariate distributions. Section 3.7. 

   7

Th 11/08

Functions of random variables. Sections 3.8-3.9.

 

Tu 11/13

Markov chains. Section 3.10 

   8

Th 11/15

Expectation and variances. Section 4.1-4.3 and 5.1-5.5.  

 

Tu 11/20

Expectation and variances. Sections 4.6-4.7. 

Quiz #2.

   9

Th 11/22

THANKSGIVING BREAK

 

Tu 11/27

Covariance and conditional expectation. The normal distribution Sections 4.6-4.7. Section 5.6.

  10

Th 11/29

Markov and Chebyshev's inequalities. The law of large numbers and the central limit theorem. Sections 6.1-6.3

 

Tu 12/04

More CLT examples. Other distributions: gamma and beta distributions. The Poisson process. 

  11

Th 12/06

Review 

Quiz #3 (optional) 
  Tu 12/11 FINAL EXAM 4pm-6pm