Week 
Date 
Slides

Section 
Topic 
1 
Feb 28Mar 4 
Lecture 1 1.1 1.2 
Lecture 1 Differential Equations & Mathematical Models Integrals as General & Particular Solutions 

2 
Mar 711 
1.4 1.5 
Separable Equations & Applications Linear FirstOrder Equations 

3 
Mar 1418 
1.5 1.6 
Linear FirstOrder Equations (contd.) Substitution Methods & Exact Equations 

4 
Mar 2125 
3.1 3.2 
Introduction to Linear Systems Matrices and Gaussian Elimination 

5 
Mar 28Apr 1 
3.3 3.4 
Reduced RowEchelon Matrices Matrix Operations 

6 
Apr 48 
3.5 3.6 
Inverse of Matrices Determinants 

7 
Apr 11 15 
4.1 4.2 
The Vector Space R^{3} The Vector Space R^{n} & Subspaces 

8 
Apr 1822 
4.3 4.4 
Linear Combination & Independence of Vectors Bases & Dimension for Vector Spaces 

9 
May 26 
5.1 5.2 
SecondOrder Linear Equations General Solutions of Linear Equations 

10 
May 913 
Sec5.5p1 
5.3
5.5 
Homogeneous Equations with Constant Coefficients Method of Undetermined Coefficients 
11 
May 1620 
5.5 6.1 
Method of Variation of Parameters Introduction to Eigenvalues 

12 
May 2327 
6.2 6.3 
Diagonalization of Matrices Applications involving Powers of Matrices 

13 
May 30Jun 3 
7.1 7.2 
FirstOrder Systems & Applications Matrices & Linear Systems 

14 
June 610 
7.3 7.5 
The Eigenvalue Method for Linear Systems Multiple Eigenvalue Solutions 

15 
June 1317 
7.5 
Multiple Eigenvalue Solutions (contd.) Review 