Weekly outline
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
- Monday
- Chapter 1 - Intro to linear systems
- Wednesday
- Chapter 1 - Intro to linear systems
- Friday
- 7.1 Intro to dynamical systems and eigenvectors
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
- Monday
- 2.2 continued
- 2.3 - Matrix multiplication
- Wednesday
- 2.3 continued
- Friday
February 18 - February 24
- Monday
- 2.4 - Inverses
- Wednesday
- 2.4 completed
- Friday
- 3.1 - Image and kernel
February 25 - March 3
- Monday
- in class exam review
- Tuesday
- Wednesday
- 3.1 continued
- Friday
- 3.2 - Subspaces, bases, and linear independence
March 4 - March 10
- Monday
- 3.2 continued
- Wednesday
- 3.2 continued
- Friday
- 3.2 completed
- 3.3 - Dimension
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
- Monday
- 6.2 - Cofactor expansion continued
- Wednesday
- 6.1 & 6.2 - Properties of the determinant
- Friday
- 6.1 & 6.2 continued
April 8 - April 14
- Monday
- in class review
- Tuesday
- Wednesday
- 7.2 - Finding Eigenvalues
- Friday
- no class
April 15 - April 21
- Monday
- 7.2 - Finding Eigenvalues
- 7.3 - Finding Eigenvectors
- Wednesday
- 7.3 - Finding Eigenvectors
- Friday
- 7.3 - Finding Eigenvectors
- Markov Chains & Google's PageRank
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 theoryTopics that I hope to touch on includeDifferential operatorsFourier seriesQuantum MechanicsClearly, 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