Differential Equations

Courseware

Intended for engineering students and others who require a working knowledge of differential equations; included are techniques and applications of ordinary differential equations and an introduction to partial differential equations.

You may purchase a copy of our courseware without any instructional services such as mentor feedback or grading if you are simply seeking reference materials rather than enrolling for a class.

Syllabus

Part I: Transition from Calculus – Classical Theory of Differential equations

DE.01 The Exponential Diffeq y’[t] + r y[t] = f[t]

DE1

 

DE.02 The Forced Oscillator Diffeq y”[t] + b y’[t] + c y[t] = f[t]

DE2

DE.03 Laplace Transform and Fourier Analysis

DE3

Part 2:  Introduction to Modern Theory of Differential Equations

DE.04 Modern DiffEq Issues

DE4

DE.05 Modern DiffEq: First Order Differential Equations

DE5

DE.06 Modern DiffEq: Systems and Flows

DE6

DE.07 Modern DiffEq: Eigenvectors and Eigenvalues for Linear Systems

DE7

DE.08  Modern DiffEq: Linearizations of Nonlinear Systems

DE8

Part 3:  Partial DiffEq – Heat and Wave Equations

DE.09 The Heat and Wave Equations

DE9


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