Calendar

Key Dates:

  • Quiz #1: 01/25
  • Midterm (35%): 02/13
  • Quiz #2: 03/01
  • Quiz #3: 03/15
  • Final (35%): 03/19 

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.
  • The final is a 2 hours exam (not a 3 hours exam) and it will only include the material covered after the midterm.
  • 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 Tu 01/09 Review of the course syllabus. Introduction and basic concepts. Sections 1.1-1.4. 
  Th 01/11 Definition of probability and finite sample spaces. Sections 1.5-1.6.
   2 Tu 01/16 Counting methods. Combinatorial methods. Multinomial coefficients. Sections 1.7-1.9.
  Th 01/18 Union of events. Conditional probability and independent events. Sections 1.10 and 2.1-2.2.
   3 Tu 01/23 Bayes' Theorem. Section 2.3.
  Th 01/25

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

Quiz #1.
   4 Tu 01/30 Examples of discrete random variables. Continuous random variables. The CDF. Sections 5.1-5.5,  and 3.2-3.3. 
  Th 02/01 Bivariate distributions and marginal distributions. Sections 3.4 and 3.5. 
   5 Tu 02/06 Conditional distributions. Section 3.6
  Th 02/08 Review
   6 Tu 02/13 Midterm
  Th 02/15 Multivariate distributions. Section 3.7. 
   7 Tu 02/20 Functions of random variables. Sections 3.8-3.9.
  Th 02/22 Markov chains. Section 3.10 
   8 Tu 02/27 Expectation and variances. Section 4.1-4.3 and 5.1-5.5.  
  Th 03/01

Covariance and conditional expectation. Sections 4.6-4.7. 

Quiz #2.
   9 Tu 03/06 Covariance and conditional expectation. The normal distribution. Markov and Chebyshev's inequalities. Sections 4.6-4.7. Section 5.6. 
  Th 03/08 The law of large numbers and the central limit theorem. Sections 6.1-6.3
  10 Tu 03/13 More CLT examples. Other distributions: the gamma and beta distributions. The Poisson process. 
  Th 03/15

Review. 

Quiz #3 (optional)
  Mon 03/19 FINAL EXAM 9am-11am