MAT230

1.      Recognize and classify basic differential equations.

2.      Solve first‑order and higher-order differential equations and their applications.

3.      Utilize Laplace transforms and related theory to solve differential equations.

4.      Solve linear differential equations by infinite series.

5.      Use numerical techniques to approximate solutions of first‑order differential equations.

6.      Solve systems of linear differential equations, both analytically and by matrix methods.

7.      Determine characteristic values and vectors.

8.      Analyze slope fields and phase plane trajectories