Course Policies and Information
642:527–Fall 2014
- Instructor: Professor Eugene Speer
- Hill Center 520
- 848–445–7974
- speer at math.rutgers.edu
- Office hours:
- Monday, 3:30–4:30 PM, 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 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 Sturm-Liouville 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, 9/10;
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 in-class exams, tentatively scheduled for
Monday, October 6 and Monday, November 17. The final
exam will be held Tuesday, December 16, from 8:00 AM to 11:00 AM.
Make-up exams will be given only in the case of well-documented 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 9/02/2014