Approximate syllabus 
642:527 -- Fall 2007

This syllabus is tentative; it will be updated periodically throughout the semester.

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

Dates Sections Topics
9/4–9/18 4.1–4.3, 4.5, 4.6 Power series solutions of ordinary differential equations
9/20–10/2 5.1–5.6 Laplace transforms and applications to ordinary differential equations
10/2–10/9 7.1–7.5 Systems of differential equations and the phase plane
10/11 EXAM 1 All material covered through Laplace tansforms
10/16–10/18 7.1–7.5 Systems of differential equations and the phase plane (continued)
10/23–10/25 9.6–9.10 Vector spaces of functions, inner products, and orthonormal bases
10/30–11/13 17.1–17.8, 11.3, 18.1–18.3 Fourier series, Sturm-Liouville theory, applications to the diffusion equation on an interval
11/15 EXAM 2 All material covered through lecture of 11/8
11/20–11/27 17.1–17.8, 11.3, 18.1–18.3 Fourier series, Sturm-Liouville theory, applications to the diffusion equation on an interval (continued)
11/29–12/4 17.9, 17.10, 18.4 Fourier integrals and the Fourier transform, and the diffusion equation on infinite intervals
12/6–12/11 19.1, 19.2 The wave equation
12/14 FINAL EXAM Date and time to be determined
Last updated 9/06/2007.