| Thursday, 1/15 | Intro to the course, discussion of syllabus, if time a few words on Vector spaces (section 1.1) |
| Friday, 1/16 | Vector spaces (1.1) Read: Section 1.1. |
| Tuesday, 1/20 | Subspaces (1.2) Read: Section 1.2 |
| Thursday, 1/22 | Subspaces (1.2) HW 1 due: Section 1.1 #1, 2, 4, 5, 6 |
| Monday, 1/26 | Linear Combinations (1.3) Read: Section 1.3 |
| Tuesday, 1/27 | Linear Combinations (1.3) HW 2 due: Section 1.2 #2, 3 (a)-(f), (g), (h), (i); 5, 11-15 |
| Thursday, 1/29 | Linear Independence (1.4) Read: Section 1.4 |
| Monday, 2/2 | Linear Independence (1.4) HW 3 due: Section 1.3 #1 (for b, c, d, just say which vectors are in Span(S)), 3, 7, 8, 9a,b, 11 (give the most general form for a vector in Span(S)), 12 |
| Tuesday, 2/3 | Linear Independence (1.4) and Solving Systems of Equations (1.5) Read: 1.5. |
| Thursday, 2/5 | Solving Systems of Equations (1.5) HW 4 due: 1.4 #1(a), (d), (f), (g), (h), (j) (if linearly dependent, exhibit a linear dependence; if linearly independent, prove), 4, 7, 10a, 12 (for part a, you can use the result of #4a) |
| Monday, 2/9 | Solving Systems of Equations (1.5) |
| Tuesday, 2/10 | Solving systems of equations (1.5) |
| Thursday, 2/12 | Bases and Dimension (1.6) HW 5 due: 1.5 #1a-f, 2b-e, 3b,d, 5b,c |
| Monday, 2/16 | Exam 1 (5:30-7:00 pm), covering sections 1.1-1.5 In class: review for exam |
| Tuesday, 2/17 | Bases and Dimension (1.6) |
| Thursday, 2/19 | Bases and Dimension (1.6) |
| Monday, 2/23 | Bases and Dimension (1.6), Linear Transformations (2.1) |
| Tuesday, 2/24 | Linear Transformations (2.1) HW 6 due: 1.6, #2abde, 3, 4, 5a, 6a, 7ab, 14 |
| Thursday, 2/26 | Linear Transformations (2.1), Linear Transformations Between Finite-Fimensional Vector spaces (2.2) |
| Monday, 3/2 | No class--Spring break |
| Tuesday, 3/3 | No class--Spring break |
| Thursday, 3/5 | No class--Spring break |
| Monday, 3/9 | Linear Transformations Between Finite-Dimensional Vector spaces (2.2) HW 7 due: 2.1 #1, 3abcdef, 6-10 |
| Tuesday, 3/10 | Linear Transformations Between Finite-Dimensional Vector spaces (2.2) |
| Thursday, 3/12 | Kernel and Image (2.3) |
| Monday, 3/16 | Kernel and Image (2.3) HW 8 due: 2.2, #3ab, 5a, 6a, 7, 8, 9ab |
| Tuesday, 3/17 | Kernel and Image (2.3) |
| Thursday, 3/19 | Exam 2 (5:30-7:00pm) |
| Monday, 3/23 | Applications of the Dimension Theorem (2.4) |
| Tuesday, 3/24 | Applications of the Dimension Theorem (2.4) |
| Thursday, 3/26 | Applications of the Dimension Theorem (2.4) HW 9 due: 2.3, #1b, 3c,d, 7, 8, 12 |
| Monday, 3/30 | Compositions of Linear Transformations (2.5) |
| Tuesday, 3/31 | Inverse of a Linear Transformation (2.6) HW 10 due: 2.4, #1a,c,d, 2a,b,c,4f, 5, 6b, 10 |
| Thursday, 4/2 | Inverse of a Linear Transformation (2.6) |
| Monday, 4/6 | Change of Basis (2.7) |
| Tuesday, 4/7 | Change of Basis (2.7) HW 11 due: Section 2.5 #1, 3, 5, 8. Section 2.6 #3, 4, 5, 8 |
| Thursday, 4/9 | No Class -- Easter break |
| Monday, 4/13 | No class--Easter break |
| Tuesday, 4/14 | Determinants (3.2) |
| Thursday, 4/16 | Eigenvalues and Eigenvectors (4.1) HW 12 due: Section 2.7 #1b, 2, 4ad. Section 3.2 #1, 4 |
| Monday, 4/20 | Eigenvalues and Eigenvectors (4.1) |
| Tuesday, 4/21 | Exam 3 (5:30-7:00pm) |
| Thursday, 4/23 | Diagonalizability (4.2) |
| Monday, 4/27 | Diagonalizability (4.2) |
| Tuesday, 4/28 | Diagonalizability (4.2) |
| Friday, 5/1 | HW 13 due: Section 4.1 #1b, 2b 3cd, 4, 5, 13a. Section 4.2 #1abcd, 2, 3, 7 |
| Thursday, 5/7 | Final Exam, 2:30-5:30 pm |