MATH 287

Linear Analysis

5.0 hours lecture per week.
Associate Degree Applicable.
Prerequisite: MATH 265B or equivalent with a grade of C or better.

Presents a study of separable and linear ordinary differential equations with selected applications; numerical and analytical solutions; second order differential equations; Laplace transforms. Delves into Linear Algebra with a study of vectors in n-space, matrices, linear transformations, eigenvalues, eigenvectors, diagonalization; applies linear algebra in the study of systems of linear differential equations.
Transfer: CSU; UC

Course Outline

Student Learning Outcomes

By the end of this course, the student will be able to:

1. Determine and apply the appropriate numerical, graphical, or analytical technique to solve a first or
second order differential equation

2. Determine and apply an appropriate technique to solve a second order linear differential equation.

3. Solve a system of differential equations using matrix and vector techniques.

4. Set up a model, using differential equation(s), that could be used to solve an applied problem.

5. Construct a proof of an elementary proposition from linear algebra.

Revised April 19, 2011