## Basic Info

- Instructor
- Prof. Graham Leuschke

`gjleusch@syr.edu`

- Time & Place
- TR 2:00–3:20 in Carnegie 316
- Textbook
- Peter J. Olver and Chehrzad Shakiban,
*Applied Linear Algebra*(website) - Office Hours
- Mon 2-4, Tues 10:30-12, Wed 3-4, Thurs 1-2; by appointment; and any time my door is open (317G Carnegie)
- Important documents
- syllabus

## Announcements

- My office hours for finals week are M 2-4, T 10:30-12, and W 2-4. You can pick up your graded HW 13 at those times.
- The final exam will be on Wednesday December 10 at 5:15pm. It will be cumulative, with an emphasis on the material since the second exam (modifications of Gram-Schmidt, orthogonal matrices, QR factorization, orthogonal projections, the Fredholm Alternative, and singular value decompositions).
- The second midterm exam was
**postponed one week**from the date in the syllabus. It was given in class on**Thursday 13 November**and covered up through page 230 (the “unmodified” Gram-Schmidt process). - The first midterm exam was given in class on 2 October. It covered up through section
~~3.3 on examples of inner products~~3.2 on norms.

## Problem Sets

- Here are some problems on the material that hasn’t been covered by any homework sets.
- (Fredholm Alternative) 5.6.20 (and compare page 109 and problem 2.5.3)
- (SVD) 8.5.1 cde for practice finding eigenvalues
- (SVD) 8.5.2 for finding the SVD given the eigenvalues: (a) 3+sqrt(5), 3-sqrt(5), (b) 1 and 1, (c) 5sqrt(2) and 0, (d) 3, 2, and 0, (e) sqrt(7), sqrt(2), and 0 (f) 3, 1, and 0.

- HW #13, due Thursday 4 Dec:
- 5.3.1 (a,b,c)
- 5.3.27 (a,b,c,d)
- 5.3.28 (i) and (ii)
- 5.4.1 (a,b,c)
- 5.4.2 (a)

- HW #12, due Thursday 20 Nov:
- 5.2.17 (b,c)
- 5.2.18 (b,c)

- HW #11, due Thursday 13 Nov:
- 5.1.1 (a,b,c,d)
- 5.1.5 (all)
- 5.1.21 (b)
- 5.1.25
- 5.2.1 (b,c)
- 5.2.8 part (i) (b,c)

- HW #10, due Thursday 6 Nov:
- 4.3.1
- 4.3.7
- 4.3.15 (b,c) and also compute the error
- 4.4.1 (a,b)
- 4.4.5
- 4.4.12 (b,c)

- HW #9, due Thursday 30 Oct:
- 6.2.1(b,c,d)
- 6.2.2
- 6.2.4
- 4.2.1
- 4.2.3(a,c)
- 4.2.5(a,c)
- 6.1.13(b,c)

- HW #8, due Thursday 23 Oct:
- 6.1.1
- 6.1.2
- 6.1.3
- 6.1.4(a)
- 6.1.8(a)

- HW #7, due Thursday 16 Oct:
- 3.4.1 (b,d,f)
- 3.4.22 (parts a and b for problems (i),(iii), and (v))
- 3.4.25
- 3.4.27
- 3.5.2 (b,d,f)
- 3.5.4
- 3.5.19 (a,c)

- HW #6, due Thursday 9 Oct:
- 3.3.20 (a,c,d)
- 3.3.28 (a,b,c)
~~3.4.1 (b,d,f)~~~~3.4.22 (parts a and b for problems (i),(iii), and (v))~~~~3.4.25~~~~3.4.27~~

- HW #5, due Thursday 2 Oct:
- 3.1.19 (a,b)
- 3.1.20 (a,b)
- 3.2.1 (b,c)
- 3.2.4 (a,b,c) (Equation (3.9) is at the bottom of p. 132)
- 3.2.13 (a,b)
- 3.3.2 (a,b,c)
- 3.3.6 (a,b,c)

- HW #4, due Thursday 25 Sept:
- 2.3.21 (a,c,e)
- 2.4.9 (a,b,c)
- 2.5.2 (b,d,f)
- 2.5.22
- 2.5.24 (all parts, items (ii) and (v))
- 2.6.1 (a,b,c,d)
- 2.6.3 (a,b,c,d)
- 2.6.4 (a,b,c,d)

- HW #3, due Thursday 18 Sept:
- 1.7.9 (b)
- 11.4.14 (a,b) (on splines)
- 1.7.16 (a,b,c)
- 1.8.7 (b,d,g,i)
- 1.8.23 (a,b)
- 2.3.2
- 2.3.9

- HW #2, due Thursday 11 Sept:
- 1.4.1 (a,c,e)
- 1.4.3 (a; be sure to use GE
**exactly**) - 1.4.15
- 1.4.19 (a,b,d)
- 1.4.20 (a)
- 1.5.32 (a,c,e)
- 1.6.25 (b,d)

- HW #1, due Thursday 4 Sept:
- 1.3.5
- 1.3.14
- 1.3.15
- 1.3.22 (a,c,e,g)
- 1.3.31 (a,c,e,g)

It has been said that ‘the human mind has never invented a labor-saving machine equal to algebra.’ If this be true, it is but natural and proper that an age like our own, characterized by the multiplication of labor-saving machinery, should be distinguished by the unexampled development of this most refined and most beautiful of machines.

Josiah Willard Gibbs, 1887