Fall 2014

General Information | Schedule | Homework | Exams |

The final exam is scheduled for Sunday, November 23, 2014 at 11:30 AM.

Week 1:

9/15 Basic Concepts of Discrete Probability

9/17 Discrete Probability Distributions

9/19 Infinity and Introduction to Continuous Probabilities

Week 2:

9/22 Cumulative Distribution Functions and Permutations - homework 1 due

9/24 Combinations

9/26 Binomial Distribution and Inclusion-Exclusion - homework 2 due, material up to 9/22

Week 3:

9/29 Discrete Conditional Probability

10/1 Continuous Conditional Probability and the worksheet with solutions

10/3 Poisson and other Important Distributions - homework 3 due, material

9/22-26

Week 4:

10/6 Functions of r.v.'s, Exponential Density

10/8 Normal Density

10/9 (X-hour) Review for the midterm, part I

10/10

Week 5:

10/13 Expected Value - homework 4 due, material 9/29-10/8

10/15 Variance, Coupon Collector's Problem

10/16 (X-hour) Review for the midterm, part II here are the solutions for the mock midterm.

10/17 Sums of Independent Random Variables - homework 5 due, material 10/13-15 (homecoming weekend)

Week 6:

10/20 Law of Large Numbers and the worksheet with solutions

10/22 Puzzles

10/24 Central Limit Theorem: First Glance

Week 7:

10/27 Central Limit Theorem: Applications and the worksheet without solutions - homework 6 due, material 10/17-22

10/29 A Look Back at Joint Distributions

10/31 Random Walks - homework 7 due, material 10/24-27

Week 8:

11/3 Markov Chains: Introduction, Stationary Distribution

11/5 Absorbing Markov Chains, Matrix Methods

11/7 Hitting Times, Irreducible and Reversible Markov Chains - homework 8 due, material 10/29-11/3

Week 9:

11/10 Markov Chain Practice

11/12 Markov Chain Monte Carlo

11/14 Revision - homework 9, 11/3-12

Week10:

11/17 Probability in Cryptography