Students can solve the following ordinary differential equations (ODEs): separable,
first order linear, homogeneous, Bernoulli, and exact.

Students can solve linear ODEs of order n with constant coefficients.

Students can solve linear initial value problems with constant coefficients using
Laplace transform.

MATH 290 CMO

Identify and solve the following ordinary differential equations (ODEs): separable,
first-order, linear, homogeneous, Bernoulli, and exact.

Set up and solve ODEs for the following applications: simple and logistic growth models,
cooling, simple electric circuits, mixing, and orthogonal trajectories.

Plot slope fields and numerically solve ODEs using a computer algebra system.

Determine linear independence of functions using the Wronskian.

Solve linear ODEs of order n with constant coefficients and Cauchy-Euler equations
(homogeneous or non-homogeneous) using the method of undetermined coefficients and
variation of parameters.

Solve ODEs for the following applications: simple electric circuits and mass-spring
systems.

Solve linear systems of ODEs.

Express higher order equations as first order systems.

Solve non-linear systems numerically using numerical methods, including phase-plane
analysis, using a computer algebra system.

Solve systems of ODEs for the following applications: mass-spring systems and mixing
problems.

Apply LaPlace transform and its inverse, using basic rules of the LaPlace transform.

Solve linear initial value problems with constant coefficients using LaPlace transform.