MATH 21C: CALCULUS AND ANALYTIC GEOMETRY (SPRING 1999)
Professor: R. J. Williams. Office: AP&M 6121. Office Hours: Monday 4.15-5.15 p.m., Wednesday 5.15-6.15 p.m. and by appointment.
Lectures: MWF 11.15 a.m.--12.05 p.m., Center 105.
Teaching Assistant: Rino Sanchez. Office: AP&M 6337C. Office hours: Monday 1-3 p.m., Thursday 10 a.m.-noon.

Description: This is the third quarter of a series on calculus and analytic geometry. The first two quarters, Math 20A and 20B, focussed largely on real valued functions of one variable. In contrast, this course includes the study of vector valued functions and functions of more than one variable (namely, two and three variables). The geometric aspects of the course will include the study of curves and surfaces in two and three dimensions. We shall develop tools for describing and analyzing these geometric objects, including vectors and calculus for functions of several variables. We shall cover most of chapters 9, 11, 12, 13, and Appendix H of the required textbook: Calculus, Early Transcendentals, 3rd Edition, by James Stewart, Brooks/Cole Publishing Company.

Homework: Homework will be assigned in class and will be collected weekly at the beginning of each recitation section by your TA. (Recitation sections are on Tuesdays.) Homework will count for 10% of your grade. No late homework will be accepted. Click here to see homework assignments.

Computer modules: The computer packages Matlab and Mathematica are available to assist students with visualizing surfaces and curves in two and three dimensions.
Mathematica: A Mathematica notebook containing some examples can be downloaded by clicking here. A second notebook, which includes the first notebook and which also graphs implicitly defined functions and graphs in cylindrical and spherical coordinates, can be obtained by clicking here. A third notebook which illustrates symbolic partial differentiation and solutions of equations involving partial derivatives may be obtained by clicking here.
Matlab: A primer on Matlab is available by clicking here.
A guide to printing in the Mac lab is available by clicking here.
A demonstration of Matlab and Mathematica will be given in the computer labs in the basement of AP&M on Wednesday, April 28. Mathematica demo (in INTEL lab): 5-6 p.m., Matlab demo (in Mac lab): 6-7 p.m.

Exams: There will be two midterms in class, the first on Wednesday, April 21 and the second on Wednesday, May 19. Each midterm will count for 20% of the course grade. The final exam for all sections will be held Wednesday, June 9, 1999, 11.30--2.30 p.m. in Peterson Hall 110 and will count for 50% of the course grade. Also, to pass the course, one must pass the final exam. Click here to obtain more details about the midterms and final as they are announced.

Final course grade: The final grade will be computed as follows: homework (10%), 2 midterm exams (20% each), final exam (50%). Also, to pass the course, a pass must be obtained on the final exam.