Math 417 Course Notes

January 8

January 10

January 13

January 15

January 17

January 22

January 24

January 27

January 29

January 31

February 3

Solution to HW 2 from 1/31

February 7

February 10

February 12

February 14

February 17

February 19

February 21

February 24

February 26

February 28

March 9

March 11

Homework solutions March 3/9-3/11

March 16: Live Lecture: Review

March 16: Notes

Test 2

March 20: Eigenvalues

March 23: Degenerate Eigenvalues. Complex numbers

March 25: Complex Eigenvalues and Eigenvectors

March 27: Jordan Canonical Form

Homework solutions March 3/20-3/27

March 30: Computing the Jordan Canonical Form. Solving Similarity

April 1: Real symmetric matrices. Orthogonal diagonalization

April 3: Application in Machine Learning. Principal Traits

Homework solutions March 3/30-4/3

April 6: Application in Geometry and Calculus: Classification of quadrics, multivariable local extremes

April 8: Real Symmetric Matrices with Degenerate Eigenvalues. The Gram-Schmidt Orthogonalization Process

April 10: Orthogonal Row Echelon Form. Singular Values

Homework solutions April 6 - April 10

April 13: Review

Test 3

April 17: Applications of the Gram matrix. Projection formula and p-volume in n-space.

April 20: Differential Forms and Stokes Theorem. Normal Matrices.