Week-by-week Rough Schedule

Your mileage may vary depending on lecture section
  • Week 1: Vector spaces, subspaces, and linear combinations. See Chs 1.1, 1.2 & 1.3.
  • Week 2: Independence, bases and dimension. See Chs 1.5 & 1.6
  • Week 3: Linear Transformations, transformations on finite dimensional spaces. See Chs 2.1 & 2.2
  • Week 4: More on transformations on finite dimensional spaces. Matrix of a transformation. Dimension theorem. See 2.3 & 2.4
  • Week 5: More dimension theorem. Composition and inverses. See 2.4, 2.5 & 2.6
  • Week 6: Change of Basis. Beginning of eigenproblems. See 2.7 & 4.1.
  • Week 7: Eigenproblems and Diagonalization. Recap of geometry and projections. See 4.1-4.4
  • Week 8: More geometry and projections. See 4.1-4.4
  • Week 9: Symmetric maps and the spectral theorem. Complex numbers. See 4.5, 4.6 & 5.1.
  • Week 10: Fields and complex geometry. Triangular forms. See 5.2, 5.3 & 6.1
  • Week 11: Triangularization and nilpotency. See 6.1 & 6.2.
  • Week 12: Canonical forms and Jordan form. See 6.3 & 6.4.