Month |
Date |
Topic |
Sections |
Event |
  |
  |
First-Order Ordinary Differential Equations |
  |
  |
January |
26, 27 |
Introduction |
0.1 - 0.3, 1.1 - 1.2 |
  |
  |
31 |
Linear Equations |
2.1 - 2.5 |
  |
February |
2, 3 |
Separable Equations |
3.1 - 3.4 |
Quiz |
  |
7 |
General Theory and Graphical Methods |
3.4, 4.1 - 4.2, 5.1 - 5.3.1, 5.4.1 |
  |
  |
9, 10 |
Applications |
6.1, 6.2, 6.4, 6.5 |
Quiz |
  |
14 |
Numerical Methods |
7.1 - 7.4 |
  |
  |
16, 17 |
Exact Differential Forms and Integrating Factors |
8.1 - 8.3 |
Quiz |
  |
21 |
In-Class Exam |
  |
Exam |
  |
  |
Higher-Order Linear Ordinary Differential Equations |
  |
  |
  |
23, 24 |
Introduction to Higher-Order Linear Equations |
1.1 - 1.3, 2.1 - 2.2, 3.1 - 3.3.1 |
  |
  |
28 |
Homogeneous Equations: General Methods and Theory |
2.3 - 2.6 |
  |
March |
2, 3 |
Homogeneous Equations with Constant Coefficients |
4.1 - 4.5 |
Quiz |
  |
7 |
Nonhomogeneous Equations with Constant Coefficients |
5.1 - 5.2, 6.1, 6.2 |
  |
  |
9, 10 |
Nonhomogeneous Equations with Constant Coefficients |
6.2 - 6.4 |
Quiz |
  |
14 |
University Closure |
  |
  |
  |
16, 17 |
Nonhomogeneous Equations with Variable Coefficients |
7.1 - 7.3.1, 6.5 |
Quiz |
  |
28 |
In-Class Exam |
  |
Exam |
  |
30, 31 |
Application: Mechanical Vibrations |
8.1 - 8.4 |
  |
April |
4 |
Laplace Transform Method |
9.1 - 9.4 |
  |
  |
6, 7 |
Laplace Transform Method |
9.5 - 9.7 |
Quiz |
  |
  |
First-Order Systems of Ordinary Differential Equations |
  |
  |
  |
11 |
Introduction to First-Order Systems |
9.8, 1.1 - 1.5 |
  |
  |
13, 14 |
Linear Systems: Matrices and Vectors |
2.1, 3.1 - 3.2 |
Quiz |
  |
18 |
Linear Systems: General Methods and Theory |
2.2 - 2.5 |
  |
  |
20, 21 |
Linear Systems: Matrix Exponentials |
4.1 - 4.4 |
Quiz |
  |
25 |
In-Class Exam |
  |
Exam |
  |
27, 28 |
Linear Systems: Eigen Methods |
5.1 - 5.5 |
  |
May |
2 |
Linear Planar Systems |
6.1 - 6.3 |
  |
  |
4, 5 |
Autonomous Planar Systems: Integral Methods |
7.1 - 7.6 |
Quiz |
  |
9 |
Autonomous Planar Systems: Nonintegral Methods |
8.1 - 8.6 |
  |
  |
11 |
Application: Population Dynamics |
9.1 - 9.2 |
Quiz |
  |
13 |
Final Exam, 1:30pm - 3:30pm in rooms TBA. |
  |
Final |