1 |
Aug 20 |
Introduction; Systems of Linear Equations |
1.1 |
- |
- |
HW1 assigned. |
2 |
Aug 22 |
Systems of Linear Equations; Method of Elimination |
1.1 |
- |
- |
- |
3 |
Aug 24 |
Matrices |
1.2 |
pdf |
pdf |
HW2 assigned. |
4 |
Aug 27 |
Linear Combinations; Matrix Multiplication |
1.2, 1.3 |
- |
- |
- |
5 |
Aug 29 |
Row and column views of MM; MM and linear systems |
1.3 |
- |
- |
- |
6 |
Aug 31 |
Algebraic Properties of Matrix Multiplication |
1.4 |
pdf |
pdf |
HW3 assigned. |
7 |
Sep 5 |
More Proofs; Alg. Prop. of Transposition |
1.4 |
- |
- |
- |
8 |
Sep 7 |
Special Types of Matrices; Inverses |
1.5 |
pdf |
pdf |
HW4: evolving assignment. |
9 |
Sep 10 |
Inverses |
1.5 |
- |
- |
- |
10 |
Sep 12 |
Solving Linear Systems |
Ch 2 |
- |
- |
Dr. Milans away |
11 |
Sep 14 |
Solving Linear Systems |
Ch 2 |
** |
** |
Dr. Milans away |
12 |
Sep 17 |
Solving Linear Systems |
Ch 2 |
- |
- |
Dr. Milans away |
13 |
Sep 19 |
Solving Linear Systems |
Ch 2 |
- |
- |
Dr. Milans away |
14 |
Sep 21 |
Elementary Matricies; invert a 3x3-matrix |
2.3 |
** |
** |
HW4 due. |
15 |
Sep 24 |
Theorem 2.11 |
2.3 |
- |
- |
- |
16 |
Sep 26 |
Review: Test 1 |
1.1-1.5, 2.1-2.3 |
pdf |
pdf |
- |
17 |
Sep 28 |
Test 1 |
1.1-1.5, 2.1-2.3 |
pdf |
pdf |
- |
18 |
Oct 1 |
Determinants: Definition |
3.1 |
- |
- |
HW6 assigned. |
19 |
Oct 3 |
Determinants: Properties |
3.2 |
- |
- |
- |
20 |
Oct 5 |
Determinants: More properties |
3.2 |
pdf |
pdf |
HW6 due; HW7 assigned. |
21 |
Oct 8 |
Determinants: Cofactor Expansion |
3.3 |
- |
- |
- |
22 |
Oct 10 |
Vectors in the Plane and in 3-space; Vector Spaces |
4.1,4.2 |
- |
- |
- |
23 |
Oct 12 |
Vector Spaces: Examples |
4.2 |
pdf |
pdf |
HW7 due; HW8 assigned. |
24 |
Oct 15 |
Vector Spaces; Subspaces |
4.2, 4.3 |
- |
- |
- |
25 |
Oct 17 |
Subspaces |
4.3 |
- |
- |
- |
26 |
Oct 19 |
Span |
4.4 |
pdf |
pdf |
HW8 due; HW9 assigned. |
27 |
Oct 22 |
Linear Independence |
4.5 |
- |
- |
- |
28 |
Oct 24 |
Review: Test 2 |
3.1-3.3, 4.1-4.4 |
- |
- |
- |
29 |
Oct 26 |
Test 2 |
3.1-3.3, 4.1-4.4 |
pdf |
pdf |
HW9 due. |
30 |
Oct 29 |
Linear Independence; Basis and Dimension |
4.5, 4.6 |
- |
- |
HW10 assigned. |
31 |
Oct 31 |
Basis and Dimension |
4.6 |
- |
- |
- |
32 |
Nov 2 |
Dimension |
4.6 |
pdf |
pdf |
HW10 due; HW9 assigned. |
33 |
Nov 5 |
Rank of a Matrix |
4.9 |
- |
- |
- |
34 |
Nov 7 |
Matrix Transformations; Linear Transformations |
1.6, 6.1 |
- |
- |
- |
35 |
Nov 9 |
Linear Transformations |
6.1 |
pdf |
pdf |
HW11 due; HW12 assigned. |
36 |
Nov 12 |
Linear Transformations |
6.1 |
- |
- |
- |
37 |
Nov 14 |
Kernel and Range of a Linear Transform |
6.2 |
- |
- |
- |
38 |
Nov 16 |
Kernel and Range of a Linear Transform |
6.2 |
pdf |
pdf |
HW12 due. |
39 |
Nov 26 |
Matrix of a Linear Transformation |
6.3 |
- |
- |
HW13 assigned. |
40 |
Nov 28 |
Review Test 3 |
4.5-4.6, 4.9, 1.6, 6.1-6.3 |
- |
- |
- |
41 |
Nov 30 |
Test 3 |
4.5-4.6, 4.9, 1.6, 6.1-6.3 |
pdf |
pdf |
HW13 due. |
42 |
Dec 3 |
Test 3 Discussion |
- |
- |
- |
HW14 assigned. |
43 |
Dec 5 |
Eigenvalues and Eigenvectors |
7.1 |
- |
- |
- |
44 |
Dec 7 |
Class Review |
- |
- |
- |
HW14 due. |
- |
Dec 12 |
Final Exam: Wed Dec 12, 3pm-5pm |
- |
- |
- |
- |