Course Policies and Information
642:527–Fall 2012
 Instructor: Professor Eugene Speer
 Hill Center 520
 848–445–7974
 speer at math.rutgers.edu
 Office hours:
 Monday, 1:40–3:00 PM, Hill 520
 Wednesday, 3:20–4:40 PM, Hill 520
 Thursday, 9:00–10:00 AM, 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.
A copy of the text is on reserve in the Mathematical Sciences Library in
Hill Center.
 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 Wednesday, 9/12;
the next few assignments after that will also be due on Wednesdays.
 Academic integrity: You are strongly encouraged to discuss
homework problems with me or with other students. On the other hand, after
you have finished discussing a problem, you must write your solution
independently, not in concert with others. If you consult any source other
than Greenberg (such as a web page, solutions from a previous semester,
etc.), and material from that source contributes significantly to the
preparation of homework, you must acknowledge this by citing that
source; moreover, the work you turn in must be written up in your
own words, not copied from a source. Failure to observe these restrictions
will be treated as a violation of the Rutgers Academic Integrity Policy.
 Exams: There will be two inclass exams, tentatively scheduled for
Wednesday, October 10 and Monday, November 19. The final
exam will be held Thursday, December 20, from 4:00 PM to 7:00 PM.
Makeup exams will be given only in the case of welldocumented illness or
major emergency or (onl y 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.