MATH 445
Fall 2009
Prof. Ken Alexander
Office: KAP 424E, (213) 740-3797 (KAP 424E is
inside a suite of offices, SW corner of the building. If the
suite door is locked, knock somewhat loudly.)
Email: alexandr@usc.edu Web Page: http://www-rcf.usc.edu/~alexandr/
Office hours: (Tentative) Monday 11-12, 2-3;
Wednesday
11-12; or by
appointment.
Teaching Assistant: Gokhan Yildirim (Office hours
T 11-1, Th 11-12 in the Math Center, KAP 263)
Text: Advanced Engineering Mathematics by E. Kreyszig, 9th edition
Homework will be given approximately weekly. On each
assignment a few selected problems will be graded. It is OK to
help each other solve homework problems, but it's not OK to turn in
essentially identical solutions--once you have discussed homework
problems so that you understand better what to do, you should write the
solutions on your own. Homework will be accepted up to 2
lectures late, with a 20% penalty. Not accepted more than 2
lectures late.
Quizzes: There will be
2 or 3 short quizzes in discussion section, dates to be announced,
typically as a warm-up shortly before an exam.
Exams: Two midterms plus final. Tentative midterm
dates are Wednesday September 30 and Friday November 6. Final is Monday
December 14, 8-10 am. There will be no makeup midterm
exams. In exceptional cases, with a written excuse, if you miss a
midterm exam I will base your grade on the exams you did take.
Grading: Homework and quizzes 30%, midterms 20% each, final 30%. No fixed quotas of A’s, B’s etc. The number of points needed for a particular grade is not fixed in advance--if the exam turns out to be difficult and scores are low, then fewer points are needed for an A, for a B, etc.
Auditing: If you want to just sit in on the class, you must register for an audit.
Material to be covered: The following schedule is
approximate and tentative:
9.1 - 9.8, 10.4 - 10.8 (parts) 5
lectures Vector calculus review
Chapter 11
10 lectures Fourier Analysis
Chapter 12
12 lectures Partial Differential Equations
Chapter 5
7 lectures Series solutions, special functions
13.1 - 13.5
4
lectures Complex variables
14.1 - 14.3
3
lectures Complex integration
Midterms
2 lectures
TOTAL
43 lectures
Everything in this syllabus is in principle tentative; if necessary
it will be adjusted during the semester.
Additional help: There are TA's in the Math Center Mon. -
Fri., 8 am - 6 pm. Many, but not all, are qualified to help with
445, so ask around to find one who is.