Course Policies and Information
642:527–Fall 2010
 Instructor: Professor Eugene Speer
 Hill Center 520
 732–445–2390 Extension 1313
 speer at math.rutgers.edu
 Office hours:
 Tuesday and Friday 9:00–9:40 AM, Murray 114
 Tuesday 3:20–4:40 PM, Hill 520
 Or by appointment or chance in Hill 520
 Text: Greenberg, Michael, D.,
Advanced Engineering Mathematics (second edition). Upper Saddle
River: Prentice Hall, 1998.
 General: This is a first semester
graduate course appropriate for students in mechanical and aerospace
engineering, biomedical engineering, other engineering, and physics. The
topics to be covered are: solution of ordinary differential equations by
power series methods (in particular, the method of Frobenius), Laplace
transform methods, and phase plane methods; vector spaces of functions,
Hilbert spaces, and orthonormal bases; Fourier series, Fourier transforms,
and SturmLiouville theory; solution of the linear differential equations
of physics—the heat, wave, and Laplace equations—by separation of
variables.
 Prerequisites:
We assume familiarity with
 Single and multivariable calculus;
 Ordinary differential equations (as in Greenberg,
Chapters 1, 2, and 3 and Sections 4.1–2, although some of
the material in chapter 4 will be reviewed);
 Linear algebra (roughly Greenberg Chapter 8 and Sections
9.1–5, 10.1–5, and 11.1–2,
although not all of this material will be used in detail).
 Homework: Homework problems will be assigned weekly through
postings on the web page. The first assignment will be due Thursday, 9/9;
after that assignments will normally be due on Tuesdays.
 Exams: There will be two inclass exams, tentatively scheduled for
Thursday, October 7 and Tuesday, November 16. The final
exam will be held Wednesday, December 22, from 12:00 PM to 3:00 PM.
Makeup exams will be given only in the case of welldocumented illness or
major emergency or (only with permission in advance) of a major outside
commitment.
 Grading: Grading will be based on a
weighted average of homework and exams:
Homework 

20% 
Class exams 
20% each 
40% 
Final exam 

40% 
Last updated 8/29/2010.