MTH 256 Syllabus
Approximate Schedule
| Week | Section | Topic |
| Weeks 1 | Chapters/Sections 1.1-1.3 | Direction Fields, Some solutions of ODEs, Classification of ODEs. |
| Week 2 | Chapters/Sections 2.1-2.3 | Linear Equations. Separable Equations. Math Modeling with ODEs. |
| Week 3 | Sections 2.4-2.6 | Linear vs. nonlinear ODEs, Integrating factors, autonomous ODEs. |
| Week 4 | Sections 3.1-3.3 | Second order ODEs with constant coefficients, the Wronskian, Complex Roots. |
| Week 5 | Sections 3.4-3.5 | Real solutions, Nonhomogeneous equations, Method of Undetermined Coefficients. |
| Week 6 | Sections 3.5-3.6 | Variation of Parameters |
| Week 7 | Sections 3.7-3.8 | Mechanical Vibrations and RLC Circuits. |
| Week 8 | Sections 6.1-6.3 | The Laplace Transform, its Inverse. The Step Function. |
| Week 9 | Sections 6.4-6.6 | ODEs with discontinuous forcing, impulse functions, convolution. |
| Week 10 | Sections 8.1-8.2 | The Explicit Euler Method. Improvements on Euler's Method. |