Course Policies and Information
642:527–Fall 2016
 Instructor: Professor Eugene Speer
 Hill Center 520
 848–445–7974
 speer at math.rutgers.edu
 Office hours:
 Monday, 10:0–11:30 AM, Hill 520
 Wednesday, 1:40–3:00 PM, Hill 520
 Thursday, 10:30–11:30 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 will be placed 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, 9/14;
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
Monday, October 10 and Monday, November 21. The date and
time of the final exam will be determined later. 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 9/04/2016