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Evolving Schedule (topics arranged by "target week.")

Week

Tuesday

Thursday

Video: You're listening to the eigenvalue, and seeing the eigenfunction.

1

Jan-16-2024
Jan-18-2024
First Meeting
[Notes #1]

2

Jan-23-2024
Linear Algebra: Introduction / Review
[Notes #2] [HW#1]
Movie:
Jan-25-2024
Linear Algebra: Orthogonal Vectors, Matrices, and Norms
[Notes #3]
Movies:

3

Jan-30-2024
Linear Algebra: Vector and Matrix Inequalities; The Singular Value Decomposition, part 1
[Notes #4] [HW#2]
Movies:
Schedule adjustment deadline.
(7:59 p.m. deadline, January 31st.)
Feb-01-2024
The Singular Value Decomposition, part 2
[Notes #5]
Movies: [SIAM SVD article]

4

Feb-06-2024
Projections
The QR-Factorization

[Notes #6] [HW#3]
Movies:
HW#2 Due (11:59pm)
Feb-08-2024
Gram-Schmidt Orthogonalization
Householder Triangularization

[Notes #7]
Movies:

5

Feb-13-2024
(Calender Buffer - Class Running Behind Schedule)
Feb-15-2024
(Calender Buffer - Class Running Behind Schedule)

6

Feb-20-2024
Least Squares Problems
[Notes #8] [HW#4]
Feb-22-2024
Conditioning and Condition Numbers
[Notes #9] [HW#5]

7

Feb-27-2024
Floating Point Arithmetic
Stability
[Notes #10]
Feb-29-2024
Stability... a Closer Look
[Notes #11]

8

Mar-05-2024
Stability: Householder
[Notes #12]
[Higham: Householder]
Mar-07-2024
Stability of Back Substitution
[Notes #13]

9

Mar-12-2024
Conditioning: Least Squares
[Notes #14] [HW#6]
Mar-14-2024
Stability: Least Squares
[Notes #15]

10

Mar-19-2024
Gaussian Elimination
LU-Factorization with Pivoting
[Notes #16]
Movies:
Mar-21-2024
Gaussian Elimination / Cholesky Factorization
[Notes #17] [HW#6.5]
Movies:

11

Mar-26-2024
Eigenvalue Problems: Introduction
[Notes #18]
TAKE HOME Midterm OUT
Available for Download on Gradescope
Material: thru Notes #15
Mar-28-2024
Hessenberg Form
Rayleigh Quotient
[Notes #19] [HW#7]

-

Apr-02-2024
Spring Break
Apr-04-2024
Spring Break

12

Apr-11-2024
The QR-Algorithm with Shifts
[Notes #21]
Movies:
TAKE HOME Midterm DUE Friday (11:59pm)
Upload to Gradescope
Take-Home Midterm Grading Progress (100%)
0%

13

Apr-16-2024
Computing the SVD
[Notes #22]
Apr-18-2024
Using the SVD for Data Analysis
[Notes #23]

Movie(s):

14

Apr-23-2024
Iterative Methods: An Overview
[Notes #24] [Templates]
Movies:
Apr-25-2024
Arnoldi Iteration
[Notes #25]
Movies:

15

Apr-30-2024
GMRES
[Notes #26]
TAKE HOME Final OUT
May-02-2024

16

May-07-2024
May-09-2024
TAKE HOME Final DUE (12:30pm)
Upload to Gradescope

Take-Home Final Grading Progress (100%)
0%

Homework and Projects will be assigned.