| 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. |
| 20 |
Oct 6 |
Matrix multiplication |
2.1 |
- |
| 21 |
Oct 8 |
Matrix inverses; elementary matrices |
2.2 |
HW7 due. |
| - |
Oct 10 |
Fall break: no class |
- |
- |
| 22 |
Oct 13 |
Characterizations of invertible matrices |
2.2,2.3 |
HW8 posted; due Thurs Oct 16, 11:30am |
| 23 |
Oct 15 |
Subspaces |
2.8 |
- |
| 24 |
Oct 17 |
Test 2: Sections 1.7 through 2.3; Lectures 14-22 |
- |
Test 2 in class. |
| 25 |
Oct 20 |
Null space and Column Space; Bases |
2.8 |
HW9 posted |
| 26 |
Oct 22 |
Rank Theorem, Basis Theorem, Determinants |
2.9,3.1 |
HW9 due; HW10 posted |
| 27 |
Oct 24 |
Determinants II |
3.1 |
Quiz 9 in class. |
| 28 |
Oct 27 |
Determinants III |
3.1,3.2 |
- |
| 29 |
Oct 29 |
Eigenvalues and Eigenvectors |
5.1 |
HW10 due; HW11 posted. |
| 30 |
Oct 31 |
Eigenspaces; Eigenvalue theorems |
5.1,5.2 |
Quiz 10 in class. |
| 31 |
Nov 3 |
The characteristic polynomial; characteristic equation |
5.2 |
- |
| 32 |
Nov 5 |
Similar matrices; population dynamics revisited |
5.2 |
HW11 due; HW12 posted. |
| 33 |
Nov 7 |
Diagonalization |
5.3 |
Quiz 11 in class. |
| 34 |
Nov 10 |
Diagonalization II; Iterative estimates: the power method |
5.3,5.8 |
- |
| 35 |
Nov 12 |
Complex numbers review; Power method |
5.8 |
HW12 due; HW13 posted. |
| 36 |
Nov 14 |
Test 3: Sections 2.8, 2.9, 3.1, 3.2, 5.1-5.3; Lectures 23-34 |
- |
Test 3 in class. |
Kevin Milans : Teaching : Fall 2025 Math343