Applications of Linear Algebra

Schedule

• Lectures: Mondays and Wednesdays 7–10pm
• Office hours: TBD

See Avenue or Mosaic for the location. Our first class is Monday, June 24 — see you then! Office hours start on Wednesday, June 26.

We will cover the following topics:

• Linear programming: geometric and simplex methods
• Dynamical systems: basics of differential equations, eigenvalues, eigenvectors, diagonalization
• Orthogonality: dot product, distance, projection, QR factorization, distance minimization, least squares, linear models
• Constrained optimization: diagonalization of symmetric matrices, Spectral theorem, quadratic forms, singular value decomposition
• Other topics as time permits. Exact topics can be picked during the term, but options include image processing and statistics, Markov chains, matrix games, and machine learning