MATH 20B: CALCULUS AND ANALYTIC GEOMETRY (FALL 1999)

Professor: R. J. Williams. Office: AP&M 6121, email: williams@math.ucsd.edu
Office Hours: Monday, 1--1.50 p.m.; Friday, 3.30--4.20 p.m. and by appointment. Winter quarter 2000 office hours: Mon, Wed 1-2 p.m.
Lectures: MWF 2.30-3.20 p.m., HSS 2250.
Fourth hour: M 4.40-5.30 p.m., Peterson Hall 108. Please note that the room is different from that posted in the time schedule. The fourth hour will be used for quizzes/exams.
Teaching Assistants:
B. Lamel, Office hours: Monday 10.30 am, Thursday 3.00 pm, Office: AP&M 6402A.
M. Minei, Office hours: Monday 1.30-2.30 pm., Wednesday 3.30-4.30 pm, Thursday noon-2pm, Office: AP&M 6337F.

Description of course:
This is the second quarter of a series on calculus and analytic geometry. This course continues the study (from Math 20A) of differential and integral calculus for functions of one variable.
After a brief review of the notions of derivative and antiderivative, including l'Hopital's rule, the mean value theorem and the Fundamental Theorem of Calculus, we will turn to methods of integration. Analytic methods for finding antiderivatives, especially the methods of substitution, integration by parts and partial fractions, will be studied and applied. Numerical methods for approximating integrals that cannot be evaluated exactly will also be discussed. These methods (both analytic and numerical) will be used to solve first order separable differential equations which arise in physical and biological applications. As an introduction to functions taking values in higher dimensions, we will study curves in the plane and related conic sections. The course will conclude with a discussion of complex numbers as a precursor to the treatment of vectors in Math 21C.
Throughout the course, concepts will be treated graphically, algebraically and numerically. In addition, examples and exercises from real world applications will be used to illustrate concepts introduced in class.

Text: Calculus -- Early Transcendentals, Fourth Edition, by James Stewart, Brooks/Cole Publishing Company.

Calculator: The preferred graphing calculator for this class is the TI-85 or TI-86. (If you are buying a new calculator, the TI-86 is recommended.) Calculators will be used to assist with visualization and also for numerical approximation. Some programs for the TI-85/86 will be provided to students during the course. The text of programs for the TI-85/86 and some other calculators (e.g., TI-81, TI-82, TI-83, HP-48, Casio) is available from a website at the University of Arizona by clicking here.

Calculus Lab: A calculus lab will be open for students to obtain assistance with graphing calculators, conceptual questions and homework problems. This will be in AP&M 2402. The lab will be open Monday through Friday from noon till approximately 8 p.m. (Please check the schedule outside AP&M 2402 for the exact hours of operation.)

Reading: IT IS VERY IMPORTANT THAT STUDENTS READ THE ASSIGNED MATERIAL IN ADVANCE OF THE LECTURE. This will be expected and it will enable students to maximize what they get out of lectures.

Homework: Homework is an essential part of the course. A very important function of homework is that it helps you to internalize concepts and develop problem solving skills. Homework will be assigned in class. For a list of homework assigned so far, click here. Although homework will not be graded, it is very important that you make sure you solve all of the homework problems. If you need assistance, this is available from the TA, calculus lab, Professor, and other places such as Oasis. However, before seeking assistance with a problem, it is a good idea to earnestly try to work on the problem, understanding what it is asking, what concepts are related to it, and making what progress you can on solving the problem. This will lead to a more productive session when you go to seek assistance and is part of the process of developing problem solving skills.

Quizzes: There will be quizzes held in the fourth hour. These will test material covered in class, in the text and on the homework assignments. The quizzes will count for 30% of your course grade. For more information concerning the quizzes, click here.

Exams: There will be one midterm and one final exam. The midterm will count for 20% of your grade and the final exam for 50% of your grade. Also, to pass the course, a student must pass the final exam. The final exam for all sections will be held Thursday, December 16, 3-6 p.m. For more information concerning the final exam, click here.
No make up quizzes or exams will be given.