PACIFIC UNION COLLEGE SYLLABUS- Autumn 2002

MATH 133    CALCULUS III


CATALOG DESCRIPTION:  Includes plane curves, parametrizations, polar coordinates, solid analytic geometry, partialderivatives, and multiple integrals.  Prerequisite:  MATH 132.

COURSE OBJECTIVES: This course serves the needs of those in the areas of science, engineering, and business whoneed to use the ideas and techniques of calculus in their work. Enough theory is included to provide an adequate base forfurther study in mathematics.

INSTRUCTOR: Lloyd Best (Lbest@puc.edu). Phone: office/965-6591; home/942-9680; Office fax: 965-7135.

OFFICE: CSH 238C.

OFFICE HOURS: I am happy to help you during my office hours, by appointment, or at other times when I am free. Ihave ten office hours each week. Due to a variety of commitments, these hours change from time to time. The latestschedule of these hours is listed on my website, www.puc.edu/Faculty/Lloyd_Best.

TEXT AND REFERENCES: Stewart, Calculus, Conceptsand Contexts, second edition, Brooks/Cole, 2001.

Other texts are available for reference in the Math Department Reading Area in Chan Shun Hall.

USE OF TECHNOLOGY: A graphing calculator is needed for in-class work as well as for daily study.

Software such as Derive, Graphmatica, and Winplot will be available in the computer lab in CSH 232.

ATTENDANCE: Previous students have discovered that missing three or more class presentations makes it very difficultto pass the course. Some explanations presented in class will not be found in the text. Inaddition, announcements madeduring classes have the same force as statementsin this syllabus.

LEARNING DIFFERENCES: PUC strives to accommodate students with documented learning differences. If you havea learning disability,or think you might have one, please check with the Counseling Center. Theycan provide a diagnosisand will work with your instructor to accommodateyour situation.

GRADING: The final grade will be based on Homework (20%) and Tests (80%).

A A- B+ B B- C+ C C- D+ D D-
92% 88% 84% 80% 75% 70% 65% 60% 57% 53% 50%

HOMEWORK: Please show your work.  Assignments will be announced in class.  Assigned work is due at the beginningof class.  Late work is not accepted unless delayed by illness or other emergency.  A Missing Work Appeal Form must beattached to the late work.  To be eligible for approval, late work must be submitted the day you return to class.  If approved,the work will either be graded or averaged with other homework scores.

Preparation for doing the homework problems will require more than careful attention and participation in class. Beforeworking on the assignment you will need to carefully read the textbook and rework the textbook examples. Many studentsfind it very useful to study with other classmates. I am happy to help you during my office hours or by appointment. Tutorsfrom the Learning Center conduct evening help sessions to answer questions and give suggestions. Hours and locations forthese help sessions will be announced in class and posted in Chan Shun Hall.

TESTS: Tests must be taken at the scheduled time (see schedule). Only tests which are missed due to illness or emergencycircumstances may be made up. If you know in advance that you must miss a test, you are required to notify me in advance. If you miss a test for emergency reasons, you must notify me as soon as possible.

ACADEMIC INTEGRITY: You are encouraged to work withothers on assignments, but your work should reflect yourown understanding. Homework which matches answers provided in the book, by the instructor,or from another student'spaper will be given no credit. All test work mustbe completely your own. A student involved in cheating (or assistingsomeonein cheating) on a test should expect to be dismissed from the course witha failing grade. See PUC's Code ofAcademic Integrity (page 229of the General Catalog) for further details.


Class Schedule

Date Assignment Due Agenda for Class
Sep 24 none §9.1: Three-Dimensional Coordinate Systems
Sep 25 H9.1: §9.2: Vectors
Sep 27 H9.2: §9.3: The Dot Product
Sep 30 H9.3: §9.4: The Cross Product
Oct 1 H9.4: §9.5: Equations of Lines and Planes
Oct 2 H9.5: §9.6: Functions and Surfaces
Oct 4 H9.6: §9.7: Cylindrical and Spherical Coordinates
Oct 7 H9.7: Review
Oct 8 HR9: TEST Chapter 9
Oct 9 Read Ahead §10.1: Vector Functions and Space Curves
Oct 11 H10.1: §10.2: Derivatives and Integrals of Vector Functions
Oct 14 H10.2: §10.3: Arc Length and Curvature
Oct 15 H10.3: §10.4: Motion in Space
Oct 16 H10.4: §10.5: Parametric Surfaces
Oct 18 H10.5: §11.1: Functions of Several Variables
Oct 21 H11.1: Review
Oct 22 HR10: TEST Chapter 10
Oct 23 Read Ahead §11.2: Limits and Continuity
Oct 25 H11.2: §11.3a: Partial Derivatives
Oct 28 H11.3a: §11.3b: Partial Derivatives, continued
Oct 29 H11.3b: §11.4a: Tangent Planes and Linear Approximations
Oct 30 H11.4a: §11.4b: Tangent Planes and Linear Approx., cont.
Nov 1 H11.4b: §11.5: The Chain Rule
Nov 4 H11.5: §11.6: Directional Derivatives & the Gradient Vector
Nov 5 H11.6: §11.7a: Maximum and Minimum Values
Nov 6 H11.7a: §11.7b: Maximum and Minimum Values, continued
Nov 8 H11.7b: §11.8: Lagrange Multipliers
Nov 11 H11.8: Review
Nov 12 HR11: TEST Chapter 11
Nov 13 Read Ahead §12.1: Double Integrals over Rectangles
Nov 15 H12.1: §12.2: Iterated Integrals
Nov 18 H12.2: §12.3: Double Integrals over General Regions
Nov 19 H12.3: §12.4: Double Integrals in Polar Coordinates
Nov 20 H12.4: §12.5: Applications of Double Integrals
Nov 22 H12.5: §12.6: Surface Area
Nov 25- Thanksgiving Recess Have Fun!
Dec 2 H12.6: §12.7: Triple Integrals
Dec 3 H12.7: §12.8: Triple Int. in Cylindrical & Spherical coords.
Dec 4 H12.8: §12.9: Change of Variables in Multiple Integrals
Dec 6 H12.9: Review
Dec 9 Monday, 9:45 a.m. Final Test Chaps 9-12 (emphasizing 12) [150 pts]