Simulation and numerical methods

1. Introduction, basic terminology, motivational examples.
2. Systems of ordinary differential equations, Cauchy's problem.
3. Elimination method.
4. Euler method.
5. Method of constant variance.
6. Boundary value problems for ordinary differential equations.
7. Application examples for analytical methods.
8. One-step numerical methods.
9. Multi-step numerical methods.
10. Calculations with controlled accuracy.
11. Taylor series method.
12. Method of shooting.
13. Application examples for numerical methods.
14. Final summary, evaluation, reserve.