640:421:03 Advanced Calculus for Engineering


Class meets: MTh2 at SEC-205.
Instructor: Dr. Zheng-Chao Han
Office Hours:   MTh 1:00-2:00pm at Hill-304; or by appointment.
Email: zchan AT math dot rutgers dot edu (I try to process my emails once per day ).

Note: Do not forget to "reload" the assignments pages - if you visited them before, your browser may be showing you only the old cached page.

The course will use Sakai for all material during the semester. All enrolled students should have automatic access to the site after logging in to Sakai. Current information about syllabus and homework will be found there.

Text
The text is Advanced Engineering Mathematics (fourth edition) by Dennis G. Zill and Michael R. Cullen. It is published by Jones and Barlett, 2011 (ISBN# 0-7637-7966-0). The fourth edition was adopted in Fall 2010. Except for the typesetting, the parts of the book normally used in this course (including the homework problems and their numbering) are the same as in the the third edition, which was adopted in Fall 2006 (ISBN# 0-763-74591-X). This is a very large book. Only a few of its 20 chapters will be covered. Other sections of the book will be useful in other courses, and in other parts of students' careers. Warning As with all long and technical texts, there are misprints. Please read the book carefully.

Technology
Many of the computations needed to apply the techniques of this course are quite elaborate. Therefore such software packages as Matlab and Maple (and others) include many special functions designed to handle these techniques. While we (strongly!) encourage students to use these programs, course exams and most homework should be done by hand. The exams will be designed to avoid elaborate and tedious computation. Appropriate use of technology is important, and, just as students should recognize that the antiderivative of x3sin(5x) is not likely to be exp(17x) (!), enough facility with "hand computation" should be developed so that students can check (approximately and appropriately) Laplace transform, Fourier series, and linear algebra computations.

Exams
Two midterm exams will be given during classes. These exams will be announced in advance. There will be a three-hour final exam, which will be on Friday, May 6, 8-11AM. Some formula sheets may be used during portions of the exams. The times of the exams and the format will be announced in advance.

Homework and Quizzes
Homework problems will be assigned at each lecture according to the syllabus and assignment schedule at our sakai course site. While we encourage students to work together studying the material, homework should be written up independently. Select homework problems will be collected and graded. Sometimes quizzes will be given in lieu of collecing the homework problems. It is important for you to complete all assigned problems in a timely fashion. The quizzes and exams will be closely related to the homework problems, including those not designated for submission.
For those who are not able to register yet in the first week, here is the first assignment--- *ed problems are due in class on Jan. 27:

Attendance and Make-up Policy
Class attendance is expected. Poor attendance will be used to decide borderline grade situations. Any changes to the syllabus, homework assignment and any announcement for the midterms and final exam will be made in the lectures. There will be no make-ups for quizzes. A make-up midterm will be given only if you have a valid reason such as serious illness (not a slight cold) or a family emergency, and provide an acceptable, written excuse (not an email message ), or you will receive a grade of zero. If possible (particularly if you want to be sure that your excuse is an acceptable one), contact me before missing an exam.

Grading Policy

Your grade will be determined on the following 500-points basis:


For comments regarding this page, please send email to zchan AT math dot rutgers dot edu.