MATH250

construct direction fields and use computers/calculators to generate solution curves.

Reasoning

solve homogeneous (and non-homogeneous) linear ordinary differential equations with constant (and certain variable) coefficients.

Reasoning

use series to solve certain ordinary differential equations.

Reasoning

create mathematical models that involve processes that change in time.

Reasoning

solve certain systems of linear differential equations.

Reasoning

use Laplace transforms to solve initial value problems.

Reasoning

use variation of parameters and the method of undetermined coefficients to find a particular solutions to a non-Homogeneous differential equation.

Reasoning

use numerical methods to approximate solutions of first order differential equations.

Reasoning

classify and solve various first order differential equations (e.g., separable, linear, exact, using integrating factors, using substitution).

Communication, Reasoning