We will be using the following tentative schedule. Please note that there may be changes; always refer to the announcements section in Avenue for updates.
In addition, I have included some links to some videos to complement the lectures. It is suggested that you also do the following practice problems. Answers are in the back of the book, and worked out solutions are in the student manual. I recommend that you first attempt the questions, and then check your answers.
| Week 1: May 4-8 |
|---|
| LAB #1 (Matlab): Due at 11:59PM on Saturday May 9 | |||
| Lecture | Topics | Videos | Practice Problems |
|---|---|---|---|
| Lecture 1 | Introduction 1.1 System of Linear Equations 1.2 Gaussian Elimination |
Video 1.2_1 Video 1.2_2 |
Section 1.1: 5a, 7a, 11, 15, 17, 19, True-False Questions Section 1.2: 3,15, 17, 19, 23, True-False Questions |
| Lecture 2 | 1.3 Matrices and Matrix Operations 1.4 Inverses, Properties of Matrices |
Video 1.3
Video 1.4 |
Section 1.3: 1, 5, 11a, 12a, 25, True-False Questions Section 1.4: 3, 5, 15, 21, 33, 39, True-False Questions |
| Week 2: May 11-15 | |||
| ASSIGNMENT #1: Due at 11:59PM on Monday May 11; LAB #2 (Matlab): Due at 11:59PM on Saturday May 16 | |||
| Lecture 3 | 1.5 Elementary Matrices 1.6 More Linear Systems and Invertible Matrices |
Video 1.5 |
Section 1.5: 3, 5, 9, 13, 15, 19, True-False Questions Section 1.6: 5, 7, 15, 17, 21, True-False Questions |
| Lecture 4 | 1.7 Diagonal, Triangular, and Symmetric Matrices 1.8 Linear Transformations |
Video 1.8 |
Section 1.7: 5, 13, 15a, 17, 27, True-False Questions Section 1.8: 1, 5, 11, 15, 27, 31, True-False Questions |
| Week 3: May 18-22 | |||
| ASSIGNMENT #2: Due at 11:59PM on Monday May 18 | |||
| Lecture 5 | MIDTERM #1 | ||
| Lecture 6 | 2.1 Determinant by Cofactor Expansion 2.2 Evaluating Determinants by Row Reduction 2.3 Properties of Determinants (including Cramer’s rule) |
Video 2.1_1
Video 2.1_2 Video 2.1_3 Video 2.2 Video 2.3 |
Section 2.1: 9, 11, 13, 21, 23, 34, True-False Questions Section 2.2: 1, 9 15, 23, 31, True-False Questions Section 2.3: 7, 9, 15, 19, 27, 33, True-False Questions |
| Week 4: May 25-29 | |||
| ASSIGNMENT #3: Due at 11:59PM on Monday May 25; LAB #3 (Matlab): Due at 11:59PM on Saturday May 30 | |||
| Lecture 7 | 5.1 Eigenvalues and Eigenvectors 5.2 Diagonalization |
Video 5.1
Video 5.2 Video 10.1 Note: You need Flash enabled |
Section 5.1: 3, 5, 7, 9, 13, 25, True-False Questions Section 5.2: 3, 5, 7, 11, 13, 15, 19, 27, True-False Questions |
| Lecture 8 | 10.1 (9th Ed.) Complex Numbers 10.2 (9th Ed.) Division of Complex Numbers 10.3 (9th Ed.) Polar Form of Complex Numbers 5.3 Complex Eigenvalues and Eigenvectors |
Video 10.2 | Section 10.1: (9th ed.): 11, 19 Section 10.2: (9th ed.): 9, 10, 35 Section 10.3: (9th ed.): 1, 3, 4 Section 5.3: 1, 3, 5, 7, 9, 15, 17, 19, 21, 23, 25, True-False Questions |
| Week 5: June 1-5 | |||
| ASSIGNMENT #4: Due at 11:59PM on Monday June 1; LAB #4 (Matlab): Due at 11:59PM on Saturday June 6 | |||
| Lecture 9 | MIDTERM #2 | ||
| Lecture 10 | 3.2 Norm, Dot Product, and Distance in R^n 3.3 Orthogonality 4.1 Real Vector Spaces 4.2 Subspaces: part I |
Video 3.2
Video projections Video 4.1 |
Section 3.2: 1, 5, 9, 15, 17, True-False Questions Section 3.3: 1, 13, 15, 19, 29, True-False Questions Section 4.1: 3,5, 9, 11, 13, 17, 21, True-False Questions Section 4.2: 1ace, 3ac, 7, 9, 11, 19, True-False Questions |
| Week 6: June 8-12 | |||
| ASSIGNMENT #5: Due at 11:59PM on Monday June 8; LAB #5 (Matlab): Due at 11:59PM on Saturday June 13 | |||
| Lecture 11 | 4.2 Subspaces: part II 4.3 Linear Independence 4.4 Coordinate and Basis |
Video 4.3 - 4.4 | Section 4.2: 1ace, 3ac, 7, 9, 11, 19, True-False Questions Section 4.3: 1ab, 3a, 5, 9, 11, 15, 29, True-False Questions (not h) Section 4.4: 1, 3, 5, 7, 11, 13, 25, True-False Questions |
| Lecture 12 | 6.3 Gramm-Schmidt Process 4.5 Dimension |
Video 6.3_1
Video 6.3_2 |
Section 6.3: 1, 7, 9, 11, 13, 27, 29, 31 Section 4.5: 1, 3, 9, 15, 17, True-False Questions |
| Week 7: May 15-19 | |||
| ASSIGNMENT #6: Due at 11:59PM on Thursday June 18 | |||
| Lecture 13 | 4.7 Row Space, Column Space, and Null Space 4.8 Rank, Nullity, and Fundamental Matrix Spaces |
Video 4.7 | Section 4.7: 3, 9, 11, 13a, 15, True-False Questions a,b,c,d,i,j Section 4.8: 3, 5, 7, True-False Questions a,c,e |
| Lecture 14 | FINAL EXAMINATION | ||