Subject to change.
Week | Date | Section/Topic | Text Homework | Resources | Test/ Good Problem/ WeBWork |
---|---|---|---|---|---|
1 | |||||
Chapter 1: Matrices | |||||
Mon Aug 22 | Introduction | sage tool | |||
1.1 Basic Concepts | 1,3,5,7,11,13 | ||||
Wed Aug 24 | 1.2 Operations | 1,5,7,9,15,19,23,27,29 | sage | ||
1.3 Matrix Multiplication | 1,3,5,9,11,15,17,20,21,23,25,29,31,33,37 | sage | |||
Fri Aug 26 | 1.4 Special Matrices | 1,2,3,5,7,9,15,17,23 | sage | WeBWork 1.3 | |
2 | |||||
Mon Aug 29 | 1.6 Vectors | 1,3,5,7,11,13 | sage | ||
1.7 The Geometry of Vectors | 1,3,5,11,13,17 | sage | |||
Chapter 2: Simultaneous Linear Equations | |||||
Wed Aug 31 | 2.1 Linear Systems | 1,3,5,9,13 | Good Problem 1: 1.4 #17 using Layout | ||
2.2 Solutions by Substitution | 1,3,5,7 | sage | |||
Fri Sep 2 | 2.3 Gaussian Elimination | 1,5,7,11,13,17,19,21,23,30,32,34,36 | sage | WeBWork 2.2 (drop deadline) | |
3 | |||||
Mon Sep 5 | Labor day holiday, no class | ||||
Wed Sep 7 | 2.5 Linear Independence | 1,5,9,11,21,23,24,25,32,36 | Good Problem 2: 2.1 #13 using Flow (and Layout) | ||
Fri Sep 9 | 2.6 Rank | 1,3,5,6,12,17,27 | WeBWork 2.5 | ||
4 | |||||
Mon Sep 12 | 2.7 Theory of Solutions | 1,3,5,7,9 | |||
Wed Sep 14 | Test through Section 2.6 | sample questions; test solutions | Test | ||
Chapter 3: The Inverse | |||||
Fri Sep 16 | 3.1 Introduction | 1,3,6,11,13,15,27,29,35,37,51,57 | WeBWork 2.7 | ||
3.2 Calculating Inverses | 1,7,10,11,19,22 | sage | |||
5 | |||||
Mon Sep 19 | 3.3 Simultaneous Equations | 1,5,7,14 | |||
Wed Sep 21 | 3.4 Properties of the Inverse | 1,3,5,8,13 | Good Problem 3: 3.1 #57 using Logic (and Layout,...) | ||
Fri Sep 23 | 3.5 LU Decomposition | 1,5,7,13,18,20 | sage | WeBWork 3.4 | |
6 | |||||
Chapter 5: Determinants | |||||
Mon Sep 26 | 5.1 Introduction | 1,3,5,10,12,21,23,27 | |||
Wed Sep 28 | 5.2 Expansion by Cofactors | 1,3,7,19,26 | sage | Good Problem 4: 3.5 #20 using Intros etc. | |
Chapter 6: Eigenvalues and Eigenvectors | |||||
Fri Sep 30 | 6.1 Definitions | 1,2,5,6 | WeBWork 5.2 | ||
6.2 Eigenvalues | 1,3,5,7,9,11,17,19,21,34,35,36 | sage | |||
7 | |||||
Mon Oct 3 | Reading day holiday, no class | ||||
Wed Oct 5 | Test through Section 5.2 | sample questions; test solutions | Test | ||
Fri Oct 7 | 6.3 Eigenvectors | 1,3,7,9,13,22,24,27 | sage | ||
8 | |||||
Mon Oct 10 | 6.4 Properties of Eigenvalues and Eigenvectors | 1,3,7,9,10-21 | WP Mathematical induction | WeBWork 6.2 | |
Wed Oct 12 | 6.5 Linearly Independent Eigenvectors | 1,3,5,11,15 | Good Problem 5: 6.2 #36 using Symbols etc. | ||
Fri Oct 14 | Supplement: Diagonalization | WeBWork only | sage; WP Matrix similarity, WP Diagonalizable matrix | ||
9 | |||||
Mon Oct 17 | Supplement: Introduction to the Jordan Form | see the supplement | sage; WP Jordon normal form | WeBWork 6.5 (notes) | |
Chapter 7: Matrix Calculus | |||||
Wed Oct 19 | 7.1 Well-Defined Functions | 1,3,4,5,7,9,13,16,17 | Good Problem 6 is in the supplement | ||
Fri Oct 21 | 7.2 Cayley-Hamilton Theorem | 1,3,5 | WeBWork Jordan | ||
10 | |||||
Mon Oct 24 | 7.3 Polynomials of Matrices-Distinct Eigenvalues | 1,2,7,13,19,21,25 | |||
Wed Oct 26 | Test through |
sample questions; test solutions | Test | ||
Fri Oct 28 | 7.4 Polynomials of Matrices-General Case | 1,2,3,7,8,9,12 | (no WeBWork) (drop deadline with WP/WF) | ||
11 | |||||
Mon Oct 31 | 7.5 Functions of a Matrix | 1,3,9,13,15 | |||
Wed Nov 2 | 7.6 The Function \(e^{At}\) | 1,3,7 | sage | Good Problem 7: 7.4 #13 | |
7.7 Complex Eigenvalues | 1,3,7 | ||||
Fri Nov 4 | 7.8 Properties of \(e{^A}\) | 1,3,6,8 | WeBWork 7 | ||
12 | |||||
Mon Nov 7 | 7.9 Derivatives of a Matrix | 1,2,6 | |||
Chapter 10: Real Inner Products and Least Squares | |||||
Wed Nov 9 | 10.1 Introduction | 1,3,7,15,18,24,29-33,35,36,37 | Good Problem 8: 7.8 #7 | ||
Fri Nov 11 | Veterans day holiday, no class | ||||
13 | |||||
Mon Nov 14 | 10.2 Orthonormal Vectors | 1,3,7,11,13 | |||
Wed Nov 16 | Test through 10.1 | sample questions; test solutions | Test | ||
Fri Nov 18 | 10.3 Projections and QR-Decompositions | 1,3,7,9,11,15,17,23 | sage | WeBWork 10.2 | |
14 | |||||
Mon Nov 21 | 10.4 The QR-Algorithm | 1,2,4,5 | sage | ||
Wed Nov 23 | Thanksgiving holiday, no class | ||||
Fri Nov 25 | Thanksgiving holiday, no class | ||||
15 | |||||
Mon Nov 28 | 10.5 Least-Squares | 1,5,11 | sage | ||
Wed Nov 30 | Supplement: Norms | see the supplement | sage; WP Norm, Matrix Norm | Good Problem 9: 10.3 #23 | |
Fri Dec 2 | Recap/ Review | WeBWork 10.5 | |||
16 | |||||
Mon Dec 5 | Final Exam 12:20-2:20 pm in our regular classroom. | sample questions; test solutions | Final Exam | ||