|
Week |
Date |
Slides
|
Section |
Topic |
|
1 |
Feb 28-Mar 4 |
Lecture 1 1.1 1.2 |
Lecture 1 Differential Equations & Mathematical Models Integrals as General & Particular Solutions |
|
|
2 |
Mar 7-11 |
1.4 1.5 |
Separable Equations & Applications Linear First-Order Equations |
|
|
3 |
Mar 14-18 |
1.5 1.6 |
Linear First-Order Equations (contd.) Substitution Methods & Exact Equations |
|
|
4 |
Mar 21-25 |
3.1 3.2 |
Introduction to Linear Systems Matrices and Gaussian Elimination |
|
|
5 |
Mar 28-Apr 1 |
3.3 3.4 |
Reduced Row-Echelon Matrices Matrix Operations |
|
|
6 |
Apr 4-8 |
3.5 3.6 |
Inverse of Matrices Determinants |
|
|
7 |
Apr 11- 15 |
4.1 4.2 |
The Vector Space R3 The Vector Space Rn & Subspaces |
|
|
8 |
Apr 18-22 |
4.3 4.4 |
Linear Combination & Independence of Vectors Bases & Dimension for Vector Spaces |
|
|
9 |
May 2-6 |
5.1 5.2 |
Second-Order Linear Equations General Solutions of Linear Equations |
|
|
10 |
May 9-13 |
Sec5.5p1 |
5.3
5.5 |
Homogeneous Equations with Constant Coefficients Method of Undetermined Coefficients |
|
11 |
May 16-20 |
5.5 6.1 |
Method of Variation of Parameters Introduction to Eigenvalues |
|
|
12 |
May 23-27 |
6.2 6.3 |
Diagonalization of Matrices Applications involving Powers of Matrices |
|
|
13 |
May 30-Jun 3 |
7.1 7.2 |
First-Order Systems & Applications Matrices & Linear Systems |
|
|
14 |
June 6-10 |
7.3 7.5 |
The Eigenvalue Method for Linear Systems Multiple Eigenvalue Solutions |
|
|
15 |
June 13-17 |
7.5 |
Multiple Eigenvalue Solutions (contd.) Review |
