Weekly outline

  • General

  • January 21 - January 27

    • Monday
    • Chapter 1 - Intro to linear systems
    • Wednesday
    • Chapter 1 - Intro to linear systems
    • Friday
    • Chapter 1 - Intro to linear systems
  • January 28 - February 3

  • February 4 - February 10

    • Monday
    • 7.1 Intro to dynamical systems and eigenvectors
    • 2.1 - Intro to transformations
    • Wednesday
    • 2.1 completed
    • Friday
    • 2.2 - Some geometry of linear transformations in the plane
  • February 11 - February 17

  • February 18 - February 24

  • February 25 - March 3

  • March 4 - March 9

  • March 11 - March 17

    • NO CLASS -  SPRING BREAK
  • March 18 - March 24

    • Monday
    • 3.3 continued
    • Wednesday
    • 3.3 completed
    • 3.4 - Coordinates
    • Friday
    • 3.4 - Coordinates
    • 7.1 - Eigenvectors, eigenvalues, and their meanings
  • March 25 - March 31

    • Monday
    • 3.4 - Coordinates
    • 7.1 - Eigenvectors, eigenvalues, and their meanings
    • 7.4 - Diagonalization
    • Wednesday
    • ch 6 - Determinants (done out of order)
    • 6.2 - Cofactor expansion
    • Friday
    • sick day
  • April 1 - April 7

  • April 8 - April 14

    • Monday
    • in class review
    • Tuesday
    • Wednesday
    • 7.2 - Finding Eigenvalues
    • Friday
    • no class
  • April 15 - April 21

  • April 22 - April 28

    • Ch 5 - Briefly
    • Monday
    • 5.4 - Least Square and Data Fitting
    • 5.1 - Orthogonality and Orthonormal Bases
    • Wednesday
    • 5.1 - Orthogonality and Orthonormal Bases
    • Friday
    • 5.4 - Least Square and Data Fitting
  • April 29 - May 5

    • Monday
    • 6.3 - Geometric Meaning of the Determinant & Brief Intro to Multivariable Calculus
    • 5.2 - Gram-Schmidt Process and (a little) QR-Factorization
    • Wednesday
    • 6.3 - Geometric Meaning of the Determinant & Brief Intro to Multivariable Calculus
    • 5.2 - Gram-Schmidt Process and (a little) QR-Factorization
    • Brief highlights of chapter 4, section 5.5, and operator theory
      Topics that I hope to touch on include
      Differential operators
      Fourier series
      Quantum Mechanics

      Clearly, this list is far too long to do in any detail.  This will be (at best) a high level summary of these topics.
    • Friday
    • LAST DAY OF LECTURE
    • Discussion of MCMC revolution paper
  • May 6 - May 12

  • May 13 - May 19