MATH2259 - Differential Equations

Competencies

1. Solve first-order differential equations.
2. Express a real-life system or a phenomenon as a mathematical model.
3. Solve linear differential equations of order two or higher.
4. Express a dynamical system as a mathematical model.
5. Apply the Laplace Transform to solve differential equations.
6. Solve linear higher-order differential equations with variable coefficients using power series.
7. Solve systems of differential equations by the elimination method.
8. Solve systems of linear first-order differential equations.
9. Express real-life applications as systems of first-order differential equations.
10. Use direction fields to illustrate solutions of differential equations.
11. Apply the Existence and Uniqueness Theorem.
12. Apply Euler's Method to approximate solutions to differential equations.