Modules

1. Modeling with differential equations, separation of variables, existence and uniqueness of solutions, and use of irregular solutions
2. Homogeneous and exact equations
3. Linear equations
4. Qualitative and numerical methods
5. System of linear algebraic equations
6. Matrix operations
7. Eigenvalues and eigenvectors
8. Systems of first-order differential equations
9. Qualitative methods: phase plane of linear systems
10. High-order linear systems (operator method)
11. Laplace transform

The above modules are for parts 1 and 2 of this course.