MATH 251 - Linear Algebra and Differential Equations

Prerequisite: MATH 191
Transfers to:UC/CSU

This course is an introduction to ordinary differential equations and linear algebra, and is designed for STEM majors who do not need separate courses in linear algebra and differential equations. Topics in this course include first order ordinary differential equations, including separable, linear, homogeneous of degree zero, Bernoulli, and exact equations with applications and numerical methods; solutions to higher order differential equations using undetermined coefficients, variation of parameters, and power series, with applications; solutions to linear and non-linear systems of differential equations, including numerical solutions; matrix algebra, solutions of linear systems of equations, and determinants; vector spaces, including the Gram-Schmidt procedure; and linear transformations, kernel and range, eigenvalues, eigenvectors, diagonalization, and symmetric matrices.