Instructor: David Walnut
Office: ST1, room 261
Phone: 703 993 1478 (voice); 703 993 1491 (fax)
email: dwalnut@gmu.edu
Course web page: Access through the Math Department's homepage
Office hours: TR 3:00-4:30pm and by appointment.
Text: E. Kreyszig, Advanced Engineering Mathematics (ninth edition)
Topics: The course will cover portions of Chapters 9, 10, and portions of 13-18 in the text.
General Comments:
The course will cover the topics of vector calculus and
complex analysis. We will begin with a brief review of material in multivariable
calculus and then cover the Divergence Theorem and Stoke's Theorem as well as a
few applications to potential theory. The remainder of the course will be
complex analysis. We will discuss complex numbers, functions of a complex
variable, complex integration, complex power series, Laurent series and the
residue calculus, and applications of complex analysis to Potential Theory.
The course web page contains announcements and useful information for students
in this course. Solutions to exams, any handouts, and this syllabus will be made
available in downloadable form. You are responsible for checking the web page
periodically so that you will not miss important information.
Grading:
Homework. Included with
this syllabus is a list of homework exercises for
the course taken from the exercises at the end of each section of the book.
Students are expected to complete these homework problems in a timely fashion as
the corresponding sections are covered in class. These exercises will not
be collected. Collaboration is permitted and encouraged on these
exercises.
Graded Homework Sets. Selected even numbered problems from the end
of each section will be collected from time to time and graded.
No collaboration is permitted on these assignments. The work you hand in must be your own.
The problem solutions must be typed
using some kind of software package that is capable of reproducing
mathematical symbols.
No late assignments will be accepted under any circumstances.
Your grade on these assignments will count for 35% of your final grade.
Midterm Exams. Two midterm exams will be given, each taking the full class period, on Thursday October 7, and on Thursday November 18. Each exam will count for 20 % of your final grade. Makeup exams will be given only in cases of extreme hardship and then only when the student has contacted me in advance. If I am not contacted in advance, no makeup will be given.
Final Exam. There will be a cumulative final exam given on Tuesday, December14, 10:30am--1:15pm in the same room where we have class. The final exam will count for 25% of your final grade.
The grading scale is as follows and is based on your correctly rounded semester average. There will be no curve.
A+: 99 +; A: 92-98; A-: 90-91;
B+: 88-89; B: 82-87; B-: 80-81;
C+: 78-79; C: 72-77; C-: 70-71;
D: 60-69;
F: 0-59.