MATH327

Perform elementary row operations on matrices; determine and analyze solutions of a system of linear equations.

Perform matrix arithmetic, calculate determinants, and determine inverses to given matrices.

Compute the eigenvalues and eigenvectors of a matrix and diagonalize matrices.

Identify Euclidean spaces and subspaces.

Distinguish between dependent and linearly independent sets of vectors.

Recognize various types of differential equations and execute an appropriate method to arrive at an analytical or approximate solution.

Solve systems of linear first-order differential equations.

Use Laplace transforms to solve differential equations.

Apply appropriate technology to analyze differential equations.

Communicate quantitative ideas clearly and accurately.