MATH 5720       VECTOR CALCULUS & COMPLEX VARIABLES        FALL 2008

Time and Place :    MTRF, 8:00 - 8:50, 3363 Rood

INSTRUCTOR : Dr. Paul Eenigenburg

Office Hours :  3324 Everett    MTRF 9:00 - 11:45
                       Other times by appt.

Phone: 387-4582            e-mail: eenigenburg@wmich.edu                  FAX : 387-4530

Click here to obtain assignments and exam information as the course progresses.

COURSE PREREQUISITE:  Math 3740  Differential Equations and Linear Algebra,
                                                  or equivalent transfer credit.

TEXT : Advanced Engineering Mathematics (9th edition) by Kreyszig, Wiley.

You may be able to save money by ordering via the internet, in which case you will
need the ISBN number:  978-0-471-48885-9.
 
This text is a good resource for users of mathematics in physics and engineering.  You
should already be familiar with most of the content of chapters 1 - 8.  We will cover
chapters 9 - 10, 13 - 18,  The remaining chapters are covered in various other courses
in our department.

SYLLABUS:

Vector Calculus (chapters 9 - 10): curves and surfaces, gradient, divergence, curl,
line integrals, Jacobians, Green’s theorem, surface integrals, Divergence theorem,
Laplace’s equation, Stokes’s theorem.
 
Complex Variables (chapters 13 - 18): complex numbers and functions, complex
integration, Cauchy’s theorem and formula, power series, Taylor series, Laurent
series, residue integration, harmonic functions and potential theory, conformal
mapping, heat conduction, fluid flow.

ASSESSMENT :   Homework (including Maple projects)        30 %
                               Hour Exams (3)                                          45 %
                               Final Exam (Thurs, Dec 11, 8:00 - 10:00)   25 %

Your grade will be determined by the scale :

 Percent :   89     82    75     68     60     55     50
 Grade  :    A      BA    B     CB     C     DC     D

ACADEMIC INTEGRITY:  You are responsible for making yourself aware of and understanding
the policies and procedures in the Undergraduate Catalog (pp. 278-283) that pertain to Academic
Integrity. These policies include cheating, fabrication, falsification and forgery, multiple submission,
plagiarism, complicity and computer misuse. If there is reason to believe you have been involved in
academic dishonesty, you will be referred to the Office of Student Conduct. You will be given the
opportunity to review the charge(s). If you believe you are not responsible, you will have the opportunity
for a hearing. You should consult with me if you are uncertain about an issue of academic honesty
prior to the submission of an assignment or test.