MATH 133 CALCULUS III
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.
| 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] |