Applied Differential Equations I: ODEs.

Catalog description

Students study ordinary differential equations, first-order equations, separable and linear equations. Also covered are direction fields, second order linear equations with constant coefficients, method of undetermined coefficients, laplace transforms, and unit impulse response and convolutions. Homogeneous systems of first order linear equations and matrix algebra determinants, eigenvalues, eigenvectors are also studied. Existence and uniqueness theorems are discussed and calculators or computers are used to display solutions and applications. Prerequisites: MATH 055 with a "C-" or better, or MATH 053 and MATH 075 , both with a "C-" or better, or permission of instructor.