MTH-202: Introduction to Differential
Equations
2007 Summer, 6/11/2007-8/2/2007
Monday/Tuesday/Thursday, 8:00-9:40 PM
ICT (Instruction Center Building) Room 216
Course Outline and Schedule:
| Class | Sections to be covered | Remark |
| Mon, 06/11 | Course Syllabus 1.1. Differential Equations and Mathematical Models |
First Class |
| Tue, 06/12 | 1.2. Integrals as General and Particular Solutions | |
| Thu, 06/14 | 1.3. Slope Fields and Solution Curves | Quiz #1 |
| Mon, 06/18 | 1.4. Separable Equations and Applications | |
| Tue, 06/19 | 1.5. Linear First-Order Equations | Quiz #2 |
| Thu, 06/21 | 1.6. Substitution Methods and Exact Equations | |
| Mon, 06/25 | 2.1. Introduction: Second-Order Linear Equations | Test #1 |
| Tue, 06/26 | 2.2. General Solutions of Linear Equations | |
| Thu, 06/28 | 2.3. Homogeneous Equations with Constant Coefficients | Quiz #3 |
| Mon, 07/02 | 2.4. Mechanical Vibrations 2.5. Nonhomogeneous Equations and Undetermined Coefficients |
|
| Tue, 07/03 | 4.1. Laplace Transforms and Inverse Transforms | |
| Thu, 07/05 | 4.2. Transformation of Initial Value Problems | Test #2 |
| Mon, 07/09 | 4.3. Translation and Partial Fractions | |
| Tue, 07/10 | 5.1. First-Order Systems and Applications | |
| Thu, 07/12 | 5.2. The Method of Elimination | Test #3 |
| Mon, 07/16 | 5.3. Matrices and Linear Systems | |
| Tue, 07/17 | 5.4. The Eigenvalue Method for Homogeneous Systems | Quiz #4 |
| Thu, 07/19 | 7.1. Equilibrium Solutions and Stability | |
| Mon, 07/23 | 7.2. Stability and the Phase Plane | Test #4 |
| Tue, 07/24 | 7.3. Linear and Almost Linear Systems | |
| Thu, 07/26 | 7.5. Nonlinear Mechanical Systems | Quiz #5 |
| Mon, 07/30 | 7.6. Chaos in Dynamical Systems | |
| Tue, 07/31 | Review | |
| Thu, 08/02 | Final Exam (In-Class Exam will be comprehensive) | Last Class |