MATH 87

Linear Analysis

5.0 hours lecture per week.
Associate Degree Applicable.
Prerequisite: MATH 65B 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 equation.
Transfer: CSU; UC

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. Make a fundamental matrix computation.

3. Compute and interpret one of the fundamental properties of a matrix

4. Compute the fundamental properties of a linear transformation and use them to analyze the
transformation

5. Solve a linear system of differential equations using matrix techniques

6. Make fundamental vector computations

7. Determine the fundamental properties of a vector space and demonstrate an understanding of these
properties