General Information | Syllabus |
Extra credit assignments: Computing/Proofwriting assignment 1, Computing assignment 2 Proofwriting assignment 2 Computing assignment 3 Proofwriting assignment 3
Actual syllabus
Lectures | Sections in Text | Brief Description | Practice homework | Turn-in homework |
---|---|---|---|---|
6/20 | 1.1 | Linear systems. | 1.1: 5,6,8,14,16,19,20; App: 33,34 | 1.1: 7,13,21,25 (due 6/27) |
6/21 (special time 8:00am) | 1.2 | Row reduction. | 1.2: 1,2,5,9,10,12,14 | 1.2: 11,13 |
6/23 | 1.3 1.4 |
Vectors, linear combinations Ax=b |
1.3: 12,13,14; App: 29,30; 1.4: 6,8,11,12,14 |
1.3: 26; 1.4: 10,25 |
6/25 | 1.4 1.5 |
Matrix equations Solutions to homogeneous and non-homogeneous systems |
1.4: 17,18,19,20 1.5: 1,2,4,6,11,18,33 |
1.5: 3,12 |
6/27 | 1.6 | Applications | 1.6: 2, 3 (a,b), 4 (a), 7,8,9,14,15 | 1.6: 12 (due 7/4) |
6/30 | 1.7 | Linear dependence | 1.7: 11,12,14,15,16,17,18,19,31 | 1.7: 13,32 |
7/2 | 1.8 | Linear transformations. | 1.8: 4,5,10,12,32 | 1.8: 7,9,11,17,19,20,33 |
7/3 (x-hour) | 1.9 | The Matrix of a linear transformation | 1.9: 1,4,5,15,16,18,20 | 1.9: 3,17,19,25,27 (due 7/11) |
7/7 | 2.1 | Matrix algebra | 2.1: 6,7,8,9,12,28 | 2.1: 5,10,27 |
7/9 | 2.2 | Inverse of a matrix | 2.2: 2,4,7,8,33,34 | 2.2: 30,32,35 |
7/10 (x-hour) | 2.3 | Invertible matrix theorem; review | 2.3: 1,2,3,5,15,16,17,18,22 | 2.3: 6,8 (due 7/18) |
7/11 | 1.10, 2.4, 2.5, 2.6, 2.7 | Applications (not an exam topic) | See extra credit HW | |
7/14 | 2.8 | Subspaces of Rn and bases. | 2.8: 1,2,3,4,5,11,13,23,25 | 2.8: 12,18,24,26 |
7/16 | 2.9 3.1 |
Coordinates and dimension Determinants |
2.9: 3,5,9,11,13,16 3.1: 1-6 |
2.9: 4,6,10,12,14,15 |
7/18 | 3.1 3.2 3.3 |
Determinants Properties Applications |
3.1: 7,9,11,13 3.2: 5,7,9,11,13,21,23,25 3.3: 1,3,5,11,13 |
3.1: 10,12,14 (due 7/25) 3.2: 22 |
7/21 | 5.1 | Eigenvalues | 5.1: 3,4,6-12,15-20 | 5.1: 2,5,13,14 |
7/23 | 5.2 | Characteristic equation | 5.2: 3-5, 7-10, 12-17, 25 | 5.2: 6, 11 |
7/25 | 5.3 | Diagonalization | 5.3: 2,6,7,8,15,16,17,19,20 | 5.3: 1,3,4,5,9,10,11,12,13,14 (due 8/1) |
7/28 | 4.4, 4.7, 5.4 | Change of basis | 4.7: 9,10 5.4: 13-17 |
Review complex numbers (Appendix B) |
7/30 | 5.5 Off book |
Complex eigenvalues Jordan form |
5.5: 1-20 Extra credit homework 3 (to be posted) |
Skim through the PageRank papers found here |
8/1 | 4.9 5.8 |
Markov chains. PageRank. Power method. |
4.9: 1-14 Extra credit #3 5.8: 1-6 |
Review dot product and length for R2, R3 (see old calc books) |
8/4 | 6.1 6.2 |
Geometry in Rn Orthogonal sets |
6.1 :1-10, 12,13,15,16 6.2 :1-4,6-9, 17-20 |
6.1 :11, 14, 17,18 6.2 :5,10,21 |
8/6 | 6.2, 6.3 | Projections | 6.2: 11-13,16 6.3: 1-5,7,8,10,11,13-16 |
6.2:14,15 6.3: 6,9,12 |
8/7 (x-hour) | 6.5 | Least squares | 6.5: 1,3,5-10,12,14 | 6.5: 2,4,11,13 (due 8/15) |
8/8 | 6.6 7.1 |
Regression Orthogonal diagonalization |
6.6: 8a, 9a, 10a 7.1: 1-16,18,20-22 |
6.6: 3,4,7a 7.1: 17,19 |
8/11 | No class | |||
8/13 | 7.2 | Quadratic forms | 7.2: 1-6 | 7.2: 8 |
8/14 (x-hour) | 7.3 | Contrained optimization | 7.2: 9-14 7.3: 1-4, 7-10 |
7.3: 5,6 (note: any homework from now on is not to be turned in) |
8/15 | 7.4 | SVD | 7.4: 1-6,8,10,12 | 7.4: 7,9,11 |
8/18 | 7.5 | Applications of the SVD | 7.5: 2,4,8 | 7.5: 1,3,7,9 |
8/20 | Review |
Lectures | Sections in Text | Brief Description | Practice homework | Turn-in homework |
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Nicolas Petit
Last updated August 18, 2014