# Homework Schedule

I may end up modifying some assignments and the timing as we go along so listen up when I announce homework in lecture.

The list below is merely an approximation to what will happen.

In the table entries below, the assigned problems are due for the next class meeting.

Tuesday Thursday

Aug 26
Review of Vectors
Modular Vectors (pages 13-16); p17:29,30,35,37,40,43,45,47,49,51,53,55,!56c,!57c;
Code Vectors (pages 53-57); p58: 16,18,20,24,!25,27,28,!30c,!!34c

Aug 28
Matrix Multiplication (review) and Hamming Code (Example 3.71, p253); p261: 79,81-86,88,!93 and some review problems: p159: 31, 39; p168: !45,!47

Sep 2
Linear Systems and Finite Linear Games (Example 2.35, p115); p123: 30,31,32 c),40,!52

Sep 4
Vector Spaces and Subspaces (6.1 but also review 2.3, 3.5); p460: 1-6,7!,9-11,18,19,22!,23!

Sep 9
6.1 cont; p460: 25,26,27,31,33!,35,36,38,39,42?,45,46,47,48!,49!,54,61

Sep 11
Linear Indep., Basis, Dimension (6.2 and 3.5); p475: 3,4,8,9,12,13,14,15,16!,17,19,21,24,25

Sep 16
6.2 cont; p475: 27,29,31,33,35!,36!,40,41,42!,43!,45,47,51,55!,58!

Sep 18
6.3: Change of Basis (6.3); p489: 3,4,7,8,10,12,13,15,18,19,21!,22!

Sep 23
Linear Transformations (6.4 and 3.6); p498: 4,5,9,10,11,15,17,19,22,24

Sep 25
Linear Transformations, cont.; p498: 26,28,30,33!,35,34!,36!

Sep 30
Kernel and Range (6.5); p513: 2,4,6,8,12,13,14,16,17,18,20 p513: 21,22,23,28,29,32! (warm up with 30 and 31), 33!, 34!, 36, 37!!

Oct 2

Matrix of Linear Transformation (6.6); p531: 3,5,7,9,11,13,15,17,22,23,27,29

Oct 7
Matrix of Linear Transf. cont.; p532: 31,33,37,39,40,41,44!,45!,46!!

Oct 9
Exam 1

Oct 14
Go over exam. Start Crystallographic Restriction.

Oct 16
Application: Tilings and Crystallographic Restriction (cont) Start Inner Product Spaces (7.1) and Review Orthoganal Diagonalization p563: 5,6,8,9,10,11,13-18,20,21,22 (...); p418: 13,14,15,16,23.

Oct 21
Inner Product Spaces cont., p563: 25,28,30,33!,34!,35,37,39,40,41,43!,44!

Oct 23
7.2: Distance and approximation p589: 2,3,4,6,7,8!,9-12,14!,16,17,20,28,32!,33!,34

Oct 28
7.2 cont., p590: 41,42,43,45,46,47

Oct 30
7.3: Least Squares, p609: 21, 23, 34, 44, 47 ,53, 54, 55
absorb the theory from class notes and the text!

Nov 4
Election Day
(no classes: offices closed)

Nov 6
7.4: Singular Value Decomposition, p632: 3,7,9,10,25,26,27,28,30,31,33,34,35,36,43,60

Nov 11
Veteran's Day
(no classes: offices closed)

Nov 13
7.5 Application: Reed Muller Code

Nov 18
Exam 2

Nov 20
Go over Exam
Perron Frobenius Theorem, p372: 28-31,40, maybe 38; absorb the proof of Perron Th

Nov 25
(Di)Graphs, Irreducibility, and Perron Frobenius Theorem
p259: 59,62,64,65 (read on digraph versus graph), 68,71,72,73
p372: prove the assertion before 32-35 and solve some two of these.

Nov 27
Thanksgiving
no classes

Dec 2
Asymptotic behaviour of powers of A (not all in text!)
(I gave a more general version of Th 4.33 p339.)
Do not study proofs but solve p370: 12,13 and then:
predict the fate of the populations,
find the asymptotic ratio between populations.
(If confused, consult p245 and p341.) For the "Google application" read p367-369.

Dec 4
Catch-up/Review