MATH 2930 - Differential Equations for Engineers

(MQR)

Fall, spring, summer. 4 credits.

Prerequisite: MATH 1920. Taking MATH 2930 and MATH 2940 simultaneously is not recommended.

Staff.

Introduction to ordinary and partial differential equations. Topics include: first-order equations (separable, linear, homogeneous, exact); mathematical modeling (e.g., population growth, terminal velocity); qualitative methods (slope fields, phase plots, equilibria, and stability); numerical methods; second-order equations (method of undetermined coefficients, application to oscillations and resonance, boundary-value problems and eigenvalues); Fourier series; and linear systems of ordinary differential equations. A substantial part of this course involves partial differential equations, such as the heat equation, the wave equation, and Laplace’s equation. (This part must be present in any outside course being considered for transfer credit to Cornell as a substitute for MATH 2930.)