Class Outline

Math 365 - Fall 2025

Here’s this semester’s tentative outline for Linear Algebra:

  • Week 1:
    • Mon, Aug 18: Intro - Groovy overview and Section 1.1 on types of solution
    • Wed, Aug 20: Sec 1.2 - Solving systems with Gaussian elimination and RREF
  • Week 2:
    • Mon, Aug 25: Secs 1.4 and 1.3 - Pivots and the computer
    • Wed, Aug 27: Quiz 1 and Sec 2.1 - Quiz 1 on RREF and a little bit about vectors
  • Week 3:
    • Wed, Sep 3: Sec 2.2 - Matrix multiplication and linear transformations
  • Week 4:
    • Mon, Sep 8: Secs 2.3 and 2.4 - Span and linear independence
    • Wed, Sep 10: Secs 2.5 and 2.6 - Matrix transformations and their geometry
  • Week 5:
    • Mon, Sep 15: Review
    • Wed, Sep 17: Exam I
  • Week 6:
    • Mon, Sep 22: Sec 3.1 - Invertibility
    • Wed, Sep 24: Sec 3.2 and 3.4 - Bases and Determinants
  • Week 7:
    • Mon, Sep 29: Sec 3.5 - Subspaces
    • Wed, Oct 1: Quiz 2
  • Week 8:
    • Wed, Oct 8: Sec 4.1 - Eigenstuff
  • Week 9:
    • Mon, Oct 13: Sec 4.2 - Finding Eigenstuff
    • Wed, Oct 15: Sec 4.3 - Diagonalization
  • Week 10:
    • Mon, Oct 20: Sec 4.5 - Pagerank
    • Wed, Oct 22: Sec 5.2 - The power method
  • Week 11:
    • Mon, Oct 27: Review
    • Wed, Oct 29: Exam 2
  • Week 12:
    • Mon, Nov 3: Sec 6.1 - The dot product
    • Wed, Nov 5: Secs 6.2 and 6.3 - Orthogonal complements and projection
  • Week 13:
    • Mon, Nov 10: Sec 6.5 - Least squares
    • Wed, Nov 12: Vector spaces - Abstract vector spaces
  • Week 14:
    • Mon, Nov 17: Review
    • Wed, Nov 19: Exam 3
  • Week 15:
    • Mon, Nov 24: Review
  • Week 16:
    • Mon, Dec 1: Review
  • Week of Final:
    • Fri, Dec 5: Final Exam