A concise course outline can be downloaded here.
Monday, April 7 | 10:00–12:00 |
Tuesday, April 8 | 10:00–12:00 |
Wednesday, April 9 | 10:00–11:30 |
If necessary, meetings outside these scheduled hours may be made by appointment.
Week of | Lecture Topics | Suggested Homework | Recitations |
---|---|---|---|
January 6 |
Review (3.5) Eigenvalues and Eigenvectors (4.1) |
3.5 #1–8, 12, 18, 22, 26, 29, 33, 39–43, 45, 49, 51, 55, 57, 59 4.1 #1–3, 9, 11, 23–32, 35, 36 |
Recitation 1 & Solutions |
January 13 |
Eigenvalues and Eigenvectors (4.1 cont'd) Determinants (4.2) |
4.2 #1, 5, 7, 11, 13, 23, 25, 44, 45, 53, 55 4.2 #26–40, 47–52 (try to do these exercises in your head) |
Recitation 2 & Solutions |
January 20 | E-values and E-vectors of NxN matrices (4.3) | 4.3 #1, 3, 5, 7, 11, 15, 17, 18, 19, 21–24, 33 | |
January 27 |
Change of Basis Similarity and Diagonalization (4.4) |
4.4 #5–15, 17, 23, 25, 27, 30, 31, 34, 35, 37, 41, 42 | Cancelled. |
February 6 |
The Power Method (4.5) Orthogonality (5.1) |
4.5 #1, 3, 9, 25, 29, 33 5.1 #1–3, 6, 7, 9, 11, 13, 15 |
Recitation 4 & Solutions |
February 10 |
Midterm Test #1 (Tuesday Feb. 11) Orthogonal Matrices (5.1 cont'd) |
5.1 #16, 18, 19, 27, 34, 35, 37 |
Midterm #1 &
Solutions Recitation 5 & Solutions |
February 17 | Reading Week | ||
February 24 |
Orthogonal Complements (5.2) Gram-Schmidt Orthogonalization (5.3) |
5.1 #34 5.2 #3, 5, 9, 13, 17, 19, 21, 24–29 5.3 #1, 3, 6, 8, 9, 11, 14, 15, 20 |
Recitation 6 & Solutions |
March 3 |
Orthogonal Diagonalization (5.4) Quadratic Forms (5.5) |
5.4 #5, 7, 9, 13–16, 27 5.5 #26, 31, 33, 35, 37, 51, 52, 57, 73, 75 |
Recitation 7 Solutions |
March 10 |
Vector Spaces and Subspaces (6.1) Midterm Test #2 (Friday Mar. 14) |
6.1 #1–21, 22, 23, 24–41, 46, 47, 48 |
Midterm #2 &
Solutions |
March 17 |
Vector Spaces and Subspaces (6.1 cont'd) Linear Independence, Basis, and Dimension (6.2) |
6.1 #51, 53, 55, 57, 59, 61, 62, 64 6.2 #3, 7, 10, 13, 19, 23, 27, 29, 34–39, 49, 51–53 6.2 #15, 17, 31, 33, 41, 58 |
Guided homework from 6.1 |
March 24 |
Change of Basis (6.3) Linear Transformations (6.4) |
6.3 #4, 7, 10, 15, 17, 19, 21 6.4 #1–12, 15, 19, 20, 22, 24 |
Recitation 9 & Solutions |
March 31 |
Kernel and Range (6.5) The Matrix of a Linear Transformation (6.6) |
6.4 #25, 27, 31, 33 6.5 #3, 4, 7, 11, 13, 15, 17, 21, 27, 35 6.6 #3, 5, 7 |
Last updated April 4, 2014