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Maths for CS I: Probability & Statistics


MTech Core
Enrollment in this course is by invitation only

Instructor

Girish Varma, CSTAR and MLL

Teaching Assistants

Anupam Mazumdar, Monu Tayal, Aditya Kallapa

Requirements

Discrete Maths.

Course Topics

  1. Probability Basics
    1. Probability and Counting
    2. Infinite Sample Spaces | Axioms of Probability
    3. Conditional Probability | Independence
    4. Bayes' Rule
  2. Random Variables
    1. Random Variables | Expectation | Binomial Distrbution
    2. Geometric Dist | Functions of RV
    3. Variance | Conditioning | Multiple RVs
    4. Linearity of Expectation
  3. Advanced Random Variables
    1. Tail Bounds (Markov, Chebyshev, Chernoff)
    2. Continuos Distributions
    3. Central Limit Theorem
  4. Advanced Topics and Applications
    1. Statistics
    2. Markov Chains
    3. Multidimensional Gaussians | Kalman Filters
  1. Course Number

    M20Temp4
  2. Classes Start

    Monsoon 2020
  3. Classes End

  4. Estimated Effort

    10 - 12 Hrs per Week