The main theme of this course is foundational linear algebra considered from a numerical viewpoint. We focus on solutions of linear systems of equations, eigenvalues and eigenvectors, and transformations. The course emphasizes and illustrates proof and numerical implementation using problems arising in applications. Multivariable calculus and linear algebra are prerequisites.
Lectures: 
M, W  2:00pm  3:15pm 
Cudahy 120 
Office Hours: 
Monday,  3:45pm  5:00pm 
Cudahy 307  Tuesday,  2:00pm  3:30pm 
Friday,  11:00am  12:00pm  
and by appointment 
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Aug 26  Classes begin 
Sept 2  Labor Day, no classes 
Sept 3  Last day to add/drop classes or request CR/NC option 
Oct 1016  Midterm exams 
Oct 1720  Midterm break, no classes 
Nov 15  Last day to withdraw from classes 
Nov 27  Dec 1  Thanksgiving break, no classes 
Dec 7  Last day of classes 
Dec 9  Math 2100/2350 final exam 
#  Date  Topics  Homework & Announcements 

1  Mon, Aug 26 
Syllabus Lecture 1: Linear Algebra Review 

2  Wed, Aug 28  Lecture 1: Linear Algebra Review  
Mon, Sept 2  Labor Day — no class  
3  Wed, Sept 4  Lecture 1: Linear Algebra Review 
Homework 1 Due Wednesday, September 11, by 2:00pm Must be submitted electronically on D2L

4  Mon, Sept 9  Lecture 2: Orthogonal Vectors and Matrices  No homework today. 
5  Wed, Sept 11 
Finish Lecture 2 Lecture 3: Norms 
Homework 2 Due Wednesday, September 18, by 2:00pm Must be submitted electronically on D2L

6  Mon, Sept 16 
Finish Lecture 3 Lecture 4: Singular Value Decomposition (part 1) 
Homework 3 Due Monday, September 23, by 2:00pm Must be submitted electronically on D2L

7  Wed, Sept 18  Finish Lecture 4 
No assigned homework.
Suggested work (not collected):

8  Mon, Sept 23  Lecture 5: More on the SVD 
Homework 4 Due Monday, September 30, by 2:00pm Must be submitted electronically on D2L

9  Wed, Sept 25 
Computing the SVD by hand Lecture 6: Projectors 
Homework 5 Due Wednesday, October 2, by 2:00pm Must be submitted electronically on D2L

10  Mon, Sept 30  Finish Lecture 6 
No required homework. Suggested Extra Problem (not collected):

11  Wed, Oct 2  Lecture 7: QR Factorization 
Homework 6 Due Wednesday, October 9, by 2:00pm Must be submitted electronically on D2L

12  Mon, Oct 7 
Finish Lecture 7 Lecture 8: GramSchmidt Orthogonalization 
Homework 7 Due Monday, October 14, by 2:00pm Must be submitted electronically on D2L

13  Wed, Oct 9  Lecture 11: Least Squares Problems  No homework today. 
14  Mon, Oct 14 
Finish Lecture 11 Lecture 12: Conditioning and Condition Numbers 
Homework 8 Due Tuesday, October 22, by 5:00pm (Extension due to Midterm Break) Must be submitted electronically on D2L

15  Wed, Oct 16  More Lecture 12  No homework today — study for midterm. 
16  Mon, Oct 21 
Finish Lecture 12 Exam Review 
No homework today — study for midterm. 
17  Wed, Oct 23 
Midterm Exam TakeHome Exam Assigned due Thursday, October 31, midnight 

18  Mon, Oct 28 
Lecture 13: Floating Point Arithmetic Lecture 14: Stability 
No homework today — continue work on midterm. 
19  Wed, Oct 30  Lecture 15: More on Stability 
Homework 9 Due Wednesday, November 6, by 2:00pm Must be submitted electronically on D2L

Thurs, Oct 31  TakeHome Exam Due  
20  Mon, Nov 4 
Brief summary of: Lecture 17: Stability of Back Substitution Lecture 18: Condiioning of Least Squares Lecture 19: Stability of Least Squares 
No homework today 
21  Wed, Nov 6  
22  Mon, Nov 11  
23  Wed, Nov 13  
24  Mon, Nov 18  
25  Wed, Nov 20  
26  Mon, Nov 25  
Wed, Nov 27  Thanksgiving Break — no class  
27  Mon, Dec 2  
28  Wed, Dec 4 