Math Refresher

The goal of this short course is to help you prepare for your studies in the MS program by reviewing commonly used mathematical techniques. This course is organized into three modules: Calculus, Linear Algebra, and Optimization. At the end of each set of videos there are several practice problems. While optional, it is strongly encouraged to complete these problems.

• Module One: Calculus
  • Derivatives
    • Review: What is a Derivative? (Slides)
    • Commonly Used Derivatives (Slides)
    • Product and Chain Rules (Slides)
    • Multivariable Derivatives (Slides)
    • Math Trick: Combining Exponents (Slides)
    • Walkthrough: Single Variable Derivatives
    • Walkthrough: Multivariable Derivatives
  • Integrals
    • Review: What is an Integral? (Slides)
    • Walkthrough: Consumer Surplus
  • Practice Problems
    • Derivatives and Integrals
      • Solutions
• Module Two: Linear Algebra
  • Systems of Equations
    • Review: Systems of Equations (Slides)
    • Walkthrough: Cancellation Technique
  • Matrices
    • Review: Matrix Conformity (Slides)
    • Reduced Row Echelon Form (Slides)
    • Determinants (Slides)
    • Inverting a Matrix (Slides)
    • Walkthrough: Spreadsheet Inversion
  • Practice Problems
    • Matrices
      • Solutions
• Module Three: Optimization
  • Unconstrained Optimization
    • Unconstrained Optimization – Single Variable (Slides)
    • Unconstrained Optimization – Multiple Variables (Slides)
    • Math Trick: Invoking Symmetry (Slides)
    • Walkthrough: Profit Maximization – Monopoly
    • Walkthrough: Profit Maximization – Cournot Duopoly
  • Constrained Optimization
    • Constraints (Slides)
    • Constrained Optimization (Slides)
    • Walkthrough: Utility Maximization
  • Practice Problems
    • Optimization
      • Solutions