| Tuesday | Thursday |
|---|---|
| Aug 28 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 30 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 4 Linear Systems and Finite Linear Games (Example 2.35, p115); p123: 30,31,32 c),40,!52 |
Sep 6 Vector Spaces and Subspaces (6.1 but also review 2.3, 3.5); p460: 1-6,7!,9-11,18,19,22!,23! |
| Sep 11 6.1 cont; p460: 25,26,27,31,33!,35,36,38,39,42?,45,46,47,48!,49!,54,61 |
Sep 13 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 18 6.2 cont; p475: 27,29,31,33,35!,36!,40,41,42!,43!,45,47,51,55!,58! |
Sep 20 6.3: Change of Basis (6.3); p489: 3,4,7,8,10,12,13,15,18,19,21!,22! |
| Sep 25 Linear Transformations (6.4 and 3.6); p498: 4,5,9,10,11,15,17,19,22,24 |
Sep 27 Linear Transformations, cont.; p498: 26,28,30,33!,35,34!,36! |
| Oct 2 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 4 Matrix of Linear Transformation (6.6); p531: 3,5,7,9,11,13,15,17,22,23,27,29 |
| Oct 9 Matrix of Linear Transf. cont.; p532: 31,33,37,39,40,41,44!,45!,46!! |
Oct 11 Exam 1 |
| Oct 16 Go over exam. Start Crystallographic Restriction. |
Oct 18 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 23 Inner Product Spaces cont., p563: 25,28,30,33!,34!,35,37,39,40,41,43!,44! |
Oct 25 7.2: Distance and approximation p589: 2,3,4,6,7,8!,9-12,14!,16,17,20,28,32!,33!,34 |
| Oct 30 7.2 cont., p590: 41,42,43,45,46,47 |
Nov 1 7.3: Least Squares, p609: 21, 23, 34, 44, 47 ,53, 54, 55 absorb the theory from class notes and the text! |
| Nov 6 Election Day (no classes: offices closed) |
Nov 8 7.4: Singular Value Decomposition, p632: 3,7,9,10,25,26,27,28,30,31,33,34,35,36,43,60 |
| Nov 13 7.5 Application: Reed Muller Code |
Nov 15 Exam 2 |
| Nov 20 Go over Exam Perron Frobenius Theorem, p372: 28-31,40, maybe 38; absorb the proof of Perron Th |
Nov 22 Thanksgiving no classes |
| Nov 27 (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 29 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 |
Dec 6 Review |