Syllabus

Course Description

This course is designed to understand mathematical tools useful for the rest of your Master program, especially for the upcoming, mandatory courses in statistics and game theory. The course reviews some mathematical concepts most of you will be familiar with from high school, such as functions, derivatives, integrals, vectors, matrices and probability distributions. This course is designed for self-study. The course’s objective is to make students familiar and comfortable with notation, reading mathematical statements, and applying various mathematical techniques.

Contents

  • Introduction
  • Set Theory
    • Sets, Binary Relations, Functions
  • Analysis I
    • Equations, Differentiation
  • Analysis II
    • Optimization, Integration
  • Linear Algebra I
    • Linear Combinations, Vector Spaces, Matrices
  • Linear Algebra II
    • Determinants, Gaussian Elimination
  • Probability I
    • Combinatorics, Bayes’ Rule
  • Probability II
    • Distributions