| 1 |
Aug 20 |
Introduction; Linear Systems |
1.1 |
HW1 assigned. |
| 2 |
Aug 22 |
Elementary Row Operations |
1.1 |
- |
| 3 |
Aug 25 |
Consistent Systems, Row Reduction, Echelon Forms |
1.1,1.2 |
- |
| 4 |
Aug 27 |
Row Reduction Algorithm |
1.2 |
HW2 posted. |
| 5 |
Aug 29 |
Solutions to Linear Systems |
1.2 |
Quiz 1 in class. |
| - |
Sep 1 |
No class: labor day |
- |
- |
| 6 |
Sep 3 |
Vector equations; linear combinations; span |
1.3 |
HW2 due. HW3 posted. |
| 7 |
Sep 5 |
Geometric interpretation of span; matrix equations |
1.3,1.4 |
Quiz 2 in class. |
| 8 |
Sep 8 |
When is a solution guaranteed for all RHS?; algebraic properties |
1.4 |
- |
| 9 |
Sep 10 |
Homogeneous systems |
1.5 |
HW3 due. HW4 posted. |
| 10 |
Sep 12 |
Parametric forms; nonhomogeneous systems |
1.5 |
Quiz 3 in class. |
| 11 |
Sep 15 |
Applications |
1.6 |
- |
| 12 |
Sep 17 |
Review Test 1 |
- |
HW4 due. HW5 posted. |
| 13 |
Sep 19 |
Test 1: 1.1 through 1.6; Lectures 1 - 11 |
- |
Test 1 in class. |
| 14 |
Sep 22 |
Linear independence; one or two vectors |
1.7 |
- |
| 15 |
Sep 24 |
Transformations |
1.8 |
HW5 due. HW6 posted. |
| 16 |
Sep 26 |
Matrix transformations; geometric interpretation |
1.8 |
Quiz 5 in class. |
| 17 |
Sep 29 |
Linear transformations; standard matrix of a linear transform; rotation |
1.8,1.9 |
- |
| 18 |
Oct 1 |
Onto and one-to-one linear transformations; population dynamics |
1.9,1.10 |
HW6 due. HW7 posted. |
| 19 |
Oct 3 |
Matrix operations |
2.1 |
Quiz 6 in class. |
Kevin Milans : Teaching : Fall 2025 Math343