Math& 238
Introduction to Differential Equations
LEARNING OUTCOMES
Upon successful completion of Math&
238, the student should be able to:
- Use symbolic methods
to find general and particular solutions to first order differential equations
using the techniques of separation of variable, integrating factors, power
series and Laplace transforms.
- Use Euler's method
to approximate solutions for first order differential equations.
- Use symbolic methods
to find general and particular solutions of second order linear
differential equations using the techniques of undetermined coefficients,
variation of parameters, power series and Laplace transforms.
- Use symbolic methods
to solve homogeneous first order linear systems.
- Use direction fields,
phase lines and phase portraits to qualitatively analyze the solutions to
differential equations.