Month |
Date |
Topic |
Sections |
Event |
  |
  |
First-Order Ordinary Differential Equations |
  |
  |
August |
29 |
Introduction |
0.1 - 0.4, 1.1 - 1.3 |
Reading |
  |
29 |
Linear Equations |
2.1 - 2.5 |
  |
  |
31 |
Separable Equations |
3.1 - 3.3 |
Quiz |
September |
1 |
Linear and Separable Equations |
2.1 - 3.4 |
Discussion |
  |
5 |
General Theory and Graphical Methods |
4.1 - 4.2, 5.1 - 5.3.1, 5.4.1 |
  |
  |
7 |
Applications |
6.1, 6.2, 6.4, 6.5 |
Quiz |
  |
8 |
Separable, Graphical, and Applications |
3.1 - 3.4, 5.1, 5.2, 6.1, 6.5 |
Discussion |
  |
12 |
Numerical Methods |
7.1 - 7.4, 8.1 |
  |
  |
14 |
Exact Differential Forms and Integrating Factors |
8.1 - 8.3 |
Quiz |
  |
15 |
Numerical and Analytical Methods |
7.1 - 7.4, 8.1 - 8.3 |
Discussion |
  |
19 |
In-Class Exam |
  |
Exam |
  |
  |
Higher-Order Linear Ordinary Differential Equations |
  |
  |
  |
21 |
Introduction to Higher-Order Linear Equations |
1.1 - 1.3, 2.1 - 2.3, 3.1 - 3.3.1 |
  |
  |
22 |
First Exam Solutions |
  |
Discussion |
  |
26 |
Homogeneous Equations: General Methods and Theory |
2.4 - 2.7, 4.1 |
Quiz |
  |
28 |
Homogeneous Equations with Constant Coefficients |
4.1 - 4.5 |
  |
  |
29 |
Homogeneous Equations |
1.1 - 1.3, 2.1 - 2.6, 4.1 - 4.5 |
Discussion |
October |
3 |
Nonhomogeneous Equations with Constant Coefficients |
5.1 - 5.2, 6.1 - 6.2.3 |
Quiz |
  |
5 |
Nonhomogeneous Equations with Constant Coefficients |
6.2.4 - 6.5 |
  |
  |
6 |
Equations with Constant Coefficients |
4.1 - 4.5, 5.1 - 5.2, 6.1 - 6.5 |
Discussion |
  |
10 |
Nonhomogeneous Equations with Variable Coefficients |
7.1 - 7.3.1 |
Quiz |
  |
12 |
Application: Mechanical Vibrations |
8.1 - 8.4 |
  |
  |
13 |
Application: Mechanical Vibrations |
8.1 - 8.4 |
Discussion |
  |
17 |
Application: Mechanical Vibrations |
8.5 - 8.6 |
Quiz |
  |
19 |
In-Class Exam |
  |
Exam |
  |
24 |
Laplace Transform Method |
9.1 - 9.5 |
  |
  |
26 |
Laplace Transform Method |
9.5 - 9.10 |
  |
  |
27 |
Laplace Transform Method |
9.1 - 9.8 |
Discussion |
  |
  |
First-Order Systems of Ordinary Differential Equations |
  |
  |
  |
31 |
Introduction to First-Order Systems |
1.1 - 1.5, 2.0, 3.1 |
Quiz |
November |
2 |
Linear Systems: Matrices and Vectors |
3.1 - 3.2, 2.1 - 2.2 |
  |
  |
3 |
Systems |
1.1 - 1.5, 2.1, 3.1 - 3.2 |
Discussion |
  |
7 |
Linear Systems: General Methods and Theory |
2.3 - 2.5, 4.1 - 4.3 |
Quiz |
  |
9 |
Linear Systems: Matrix Exponentials |
4.3 - 4.6 |
  |
  |
10 |
Linear Systems |
2.1 - 2.5, 4.1 - 4.5 |
Discussion |
  |
14 |
Linear Systems: Eigen Methods |
5.1 - 5.5 |
Quiz |
  |
16 |
Linear Planar Systems |
6.1 - 6.3 |
  |
  |
16 |
Linear Systems |
5.1 - 5.5, 6.1 - 6.3 |
Discussion |
  |
21 |
In-Class Exam |
  |
Exam |
  |
28 |
Autonomous Planar Systems: Integral Methods |
7.1 - 7.5 |
  |
  |
30 |
Autonomous Planar Systems: Nonintegral Methods |
8.1 - 8.5 |
Quiz |
December |
1 |
Autonomous Planar Systems |
7.1 - 7.4, 8.1 - 8.5 |
Discussion |
  |
5 |
Application: Population Dynamics |
9.1 - 9.2 |
  |
  |
7 |
Application: Population Dynamics |
9.3 - 9.4 |
Quiz |
  |
8 |
Application: Population Dynamics |
9.1 - 9.4 |
Discussion |
  |
13 |
Final Exam, 1:30pm - 3:30pm in rooms TBA. |
  |
Final |