MA320, Lia Vas -- MA320 TOPICS
Topics covered:
1. First order differential equations. Basic ideas and techniques.
2. Separable differential equations.
3. Direction field.
4. Numerical solutions. Euler's
method.
5. Linear differential equation.
6. Homogeneous diff. eq. Bernoulli diff. eq.
7. Autonomous differential equations.
8. Modeling with differential equations.
9. Exact equations.
(Exam 1)
10. Second and higher order equations.
11. Solving homogeneous higher order linear
equations.
12. Nonhomogeneous
equations: variation of parameters.
13. Nonhomogeneous
equations: the method of undetermined coefficients.
14. Systems of first order differential equations.
Phase plane analysis
15. Nonlinear systems of differential equations.
16. Modeling with systems of differential equations. Steady states and stability.
(Exam 2)
17. The
18. Inverse Laplace transform.
19. Solving linear systems with
20. Transforms of discontinuous and periodic
functions.
21. Delta function. Convolution.
(Final Exam)