The following is a tentative schedule for the course. Please check back regularly for updates as the term progresses.
Legend: Tues March 27 |
M: 1.1 -1.5, 2.6 | Factorial, Sterlings Formula, Permutations, Ordered and Unordered sets |
Wed March 28 |
Introduction to Mathematical Arguments | How to do proofs. Warm Up |
Thur March 29 |
M: 1.6 -1.8 | Binomial Coefficients, Probability Basics |
Tues April 3 |
GS: 1.2 M: 2.1, 2.2 |
Discrete Probability Distributions, Formal definitions, Conditional probability, Examples |
Wed April 4 |
More Combinatorics, Independent events, dependent events, Review | |
Thur April 5 |
M 2.3 GS 3.1, 3.2 |
Probability basics, More Permutations Combinations, Examples |
Tues April 10 |
Exam 1; in class On material covered till Apr 5 | |
Wed April 11 |
Binomial Distribution and Fixed points | |
Thur April 12 |
GS 4.1 (M: 2.4, 2.5) | Independence, Bayes Rule |
Tue April 17 |
GS:6.1, 6.2 ( M:3.1,3.2) |
Joint Distributions, Expected Value, Variance (Discrete) |
Wed April 18 |
Set Theory Worksheet 2 |
Set theory is for practise and review Worksheet 2, Try atleast the marked problems in class |
Thur April 19 |
GS:6.1, 6.2 (M:3.1,3.2) |
Expected Value, Variance (Discrete) |
Tues April 24 |
GS 5.1 (M: 4.1 4.3, 4.4, 4.6) |
Discrete Distributions , Bernoulli, Binomial, Exponential |
Wed April 25 |
Review | |
Thur April 26 |
Exam 2, in class | |
Tues May 1 |
M: 4.2, 4.6, 4.7 GS 5.2 |
Continuous Distribution and densities, Uniform, Exponential, Poisson |
Wed May 2 |
Worksheet3 | Cumulative distribution, density function, covariance |
Thur May 3 |
GS: 8.1 M: 4.7, 4.8 |
Normal Distribution,Markov inequality |
Tues May 8 |
GS: 8.1 | Chebyshev inequality, Weak Law of Large Numbers (Discrete case), |
Wed May 9 |
Worksheet4 | Chebyshev/markov inequality |
Thur May 10 |
GS: 9.1 | Bernoulli Trials, Central Limit Theorem |
Tues May 15 |
GS:9.2 | Central Limit Theorem, Independent Trial (Discrete case) |
Wed May 16 |
Exam 3, in class | |
Thur May 17 |
11.1 | Linear Algebra basics, Markov Chains |
Tue May 22 |
GS: 11.1, 11.2 | Markov Chains |
Wed May 23 |
GS: 11.3 | Ergodic Markov Chains |
Thur May 24 |
GS: 11.3 | Ergodic Markov Chains |
Tuesday May 29 |
Course Wrap up | |
Wednesday May 30 |
Review | |
Saturday June 2 |
Final Exam 3 to 6 pm |
Kemeny 007 |