Approximate syllabus 
642:527–Fall 2014

This syllabus is tentative; elements such as scheduling of exams and coverage on each exam may change.
All changes will be posted on the class web site.

Section numbers refer to Advanced Engineering Mathematics, second edition, by Michael, D. Greenberg.

Dates Sections Topics
9/03–9/17 4.1–4.6 Power series solutions of ordinary differential equations
9/22–9/29 5.1–5.6 Laplace transforms and applications to ordinary differential equations
10/06 EXAM 1 All covered material from Chapters 4 and 5
10/01–10/20 7.1–7.5 Systems of differential equations and the phase plane
10/22–10/27 9.6–9.10 Vector spaces of functions, inner products, and orthonormal bases
10/29–11/05 17.1–17.6, 18.1–18.3.1 Fourier series and applications to the diffusion equation on an interval
11/17 EXAM 2 All covered material from Chapters 7 and 9
Sections 17.1–17.6 and 18.1–18.3.1
11/10–11/19 17.7–17.8, 11.3, 18.1–18.3 Sturm-Liouville theory, applications to the diffusion equation on an interval
11/24–12/01 17.9, 17.10, 18.4 Fourier integrals and the Fourier transform, and the diffusion equation on infinite intervals
12/03–12/10 19.1, 19.2, 19.4, 20.1, 20.2 The wave equation and Laplace's equation
12/16 FINAL EXAM 8:00 AM–11:00 AM

Last updated 9/02/2014.