Math 203 Calculus III, Spring 2002
Section 31     7:05-8:55 MW   Sci 144

Instructor:      Dr. Z. Zeng,   Office: Sci 204H,   Phone: 773-442-5763
email:           zzeng@neiu.edu
Web site:        http://www.neiu.edu/~zzeng

Office hours:    1:00-4:00pm,       Monday, Wedesday
                 10:00-11:30am,     Tuesday

Prereq:          Math 107 and 202 with grade A, B, or C

Text:            Multivariable Calculus,
                 McCallum, Hughes-Hallett and Gleason, et al. 3nd edition, 
                 John Wiley and Sons.

Course           3-D analytic geometry, partial derivatives, multiple integrals, 
Description      and vector fields

Cource           Students will be guided as they apply mathematics tools learned 
Objectives       in previous calculus courses to discuss limits, continuity, partial 
                 differentiation, iterated integration of functions of several 
                 variables and applications

                 Upon successful completion of the course students will be able to 
                 perform the following
                  - Be able to relate graphs of functions of two variables with contour
                    lines or level curves.
                  - Be able to generate equations of lines and planes in space with some
                    given conditions.
                  - Be able to define and interpret the derivative and antiderivative
                    of a multivariable function.
                  - Be able to calculate algebraically and approximate numerically the
                    derivatives of multivariable functions.
                  - Be able to apply some technology such as Maple Software as a numerical
                    problem solving tool to better understand some of the theories in 
                    multivariable calculus. 
                  - Be able to relate area bounded by curves and volumes bounded by 
                    surfaces to multiple integrals.
                  - be able to evaluate integrals over curves or lines.

Method           Lectures, question and answer sessions, moderated individ- 
of Instruction   ual and group problem solving sessions, hand-in problem 
                 assignments, regular use of technology in and out of the
                 classroom.

Exams:           There will be three one-hour midterm exams: 
                    Exam 1: Feb. 4, Monday
                    Exam 2: Mar. 11, Monday
                    Exam 3: Apr. 22, Monday
                 and a comprehensive Final Exam on Wed., May 1, 8:00-9:50 pm

Method           Evaluation of your performance in the course is based on
of Evaluation    three mid-term exams (100 points each), quizzes and projects (100 
                 points), and the Final Exam (200 points). With the lowest
                 score among the mid-term exams and quizzes being dropped,
                 The total number of points is 500. The scale of grading:

                 90-100% (450-500 pts): A, 80-89%(400-449 pts): B, 
                 65-79% (325-399 pts): C, 55-64%(275-324 pts): D

Department secretaries will not give out final grades. Please do not ask.

Friday, March 15 is the last day to drop this class

Tentative            Week of       Sections
Schedule              01/07        12.1, 12.2
                      01/14        12.3, 12.4, 12.5
                      01/21        holiday, 12.5(cont.), 12.6
                      01/28        13.1, 13.2, 13.3
                      02/04        Exam 1, 13.4, 14.1
                      02/11        14.2, 14.3
                      02/18        14.4, 14.5, 
                      02/25        14.6, 14.7
                      03/04        15.1, 15.2, 15.3
                      03/11        Exam 2, 16.1, 16.2
                      03/25        16.3, 16.4
                      04/01        problem solving
                      04/08        16.7, 17.1
                      04/15        17.2, 18.1
                      04/22        Exam 3, 18.2
                      04/29        Review