Semester 1

By the end of this module, the student teacher will be able to:
-Understand the basic types of differential equations (ordinary and partial).
-Classify differential equations by order, linearity, and separability.
-Solve first-order differential equations using standard techniques.
-Solve higher-order linear differential equations with constant coefficients.
-Apply methods for systems of differential equations.
-Use Laplace transforms to solve differential equations.
-Model real-world problems using differential equations.
-Interpret solutions graphically and analytically.
-Understand stability and behavior of solutions.
-Use numerical methods when analytical solutions are not possible.