Advanced Calculus for Scientists & Engineers - fall 2008

HOWARD UNIVERSITY

Richard E. Bayne

Table of Contents:

[ Text and Required Materials | Course Objectives | Course Content | Pace Sheet | Pre-requisites | Cooperative Learning Groups | Requirements | Administrative Policies | Office Hours ]

, by Jerrold E. Marsden and Anthony J. Tromba (Freeman)*Vector Calculus*

This course is designed to develop the intuitive understanding, theory, and computational skills necessary for the concepts of calculus of functions of several variables by tying together vector differential calculus with vector integral calculus.

Back to TOCVector calculus in several dimensions. Generalizations of the fundamental theorem of calculus. Stokes theorem, Green's theorem, and Gauss' theorem. Inverse function theorem and implicit function theorem.

Approximate pacing of topicsTo be successful in this course,** you should have mastery of
elementary calculus.**. You should have received a satisfactory
grade in MATH 156 (Calculus I), MATH 157 (Calculus II), and MATH 158
(Calculus III). Please see me if you have any questions about your
preparation for this course.

A part of this course may be run using a cooperative learning approach. Classes can be highly interactive and vigorous class participation is expected. Early in the semester, each student will be assigned to a group of four to five students.

Working well in a group is an important skill. Some of you may enjoy the group work more than others, but all of you will benefit from further developing this skill. After graduation, most of you will be working in jobs which will require you to function as a member of a project team. One objective of group work in this course is to help you to develop skills in working effectively as part of a team. Another is to encourage discussion about the concepts.

One of the primary objectives of this course is to help you learn to think about problems mathematically and to solve the problems on your own. Working with your colleagues in this class and talking about problems with your group members are strategies to help you better understand a problem situation from several points of view. Experience has shown that those students that actually do work with their groups not only do better in the course, they also learn more. Those who for one reason or another refuse to fully participate in their cooperative group invariably do worse.

**Regular attendance, participation, homework:****EXAMS:**- There will be
**four hour exams**each worth 100 points. The material to be covered on each test will be announced in advance of the scheduled test date. Tests are tentatively scheduled for the following dates, but please note that these dates may change depending on class progress and unforseen circumstances. **Final Exam: 200 points**- The
*final exam is cumulative*and is scheduled for December 17, 2008 at 8:00 am.

*Regular attendance is expected.* Some material will be presented
in class using a different perspective from that given in the text. "Getting
someone's notes" is a poor substitute for being present and involved
in class discussion. However, if you must miss a class, it is your
responsibility to find out what you missed.** Make a friend! **

Each student will be expected to do the following: 1. Attend every class. 2. Devote a minimum of 12 hours of study per week to the course. 3. Come to each class on time and ready to participate. 4. Be willing to help your classmates. 5. Be able to explain concepts to the instructor or to other students. 6. Meet with group members at least twice each week to review and discuss course material. 7. Do all class activities and homework assignments. Please note that only under the most unusual circumstances will class activities or homework assignments be accepted after the due date.

Exam #1 week 4 Exam #2 week 8 Exam #3 week 12 Exam #4 week 15Please note:Final Exam December 17

Ordinarily, there are no make-up tests; exceptions to this policy will
be considered on a case-by-case basis. You must determine **BEFORE
the exam date** whether your excuse will be acceptable.

Generally, incomplete grades will not be given. If there is an emergency which causes a student to be unable to finish course requirements, the emergency must be documented by the student's advisor or by the advisory center.

If you have concerns about your progress or ability to keep up with course assignments, please discuss these with me as soon as possible. DO NOT WAIT until late in the semester.

**GRADES **Grades will be determined as follows:

A85% - 100% of total points availableB75% - 84% of total points availableC62% - 74% of total points availableD50% - 61% of total points availableF0% - 49% of total points available

Students who cheat violate their own integrity and the integrity of the university by claiming credit for work they have not done and knowledge they do not possess. All students are expected to recognize and to abide by the policy on academic integrity found in the Student Handbook. Because you will be asked to do a lot of work in collaboration with your group members, I will ask you to sign all homework assignments attesting to the fact that you have actively participated in the work.

- Mon 1:30 pm - 3:00 pm
- Wed 1:30 pm - 3:00 pm

If you need to reach me between classes:

- you may send an email message to rbayne@howard.edu
- you may leave a voice message at 202-806-7673, or
- you may drop by my office and see if I am free.

I regularly check email several times a day both from home and at school, but I check voice messages only when I am on campus.

The easiest way to contact me is to send an e-mail message to Richard Bayne.

This page was updated Aug 20 2008.