Fall 2010Chui Z Yao
MATH 1C
Calculus III
TEXT: Multivariable Calculus 9th edition
By Larson& Edwards
Brooks/Cole Cengage Learning
Instructor: Chui Z Yao
Office: SA 106 Office Hours: M & W 1-2:40 pm
Office Phone Number: (951) 571-6428 Tue. & Thu. 1:05-1:55 pm
Email address: Website: websites.rcc.edu/yao/
See the instructor after your class if you have questions or problems. You may also enroll ILA 800 to get help in the Math Lab. The Math Lab is located at Humanities 220.
COURSE DESCRIPTION:
This is the third part of the Calculus course sequence. In this course, we will cover the following topics: vectors in a plan and in space, vector valued functions, partial derivatives, multiple integrals, line and surface integrals, indeterminate forms, and elementary application to physical sciences.
COURSE REQUIREMENTS AND EXPECTATIONS:
HOMEWORK: Homework will be assigned from the problem sets in the textbook. You are expected to work and complete the assigned problems on the required dates as outlined on the assignment sheet. Homework will be collected on the dates of an exam all exam problems are similar to assigned homework, so it is important for you to do your homework regularly and no late homework assignments will be accepted.
EXAMS: Exams are closed book. Calculators will NOT be allowed on exams. Be prepared to take the exam. If you are caught cheating on an exam, you will receive a zero score for the exam.
*** Students will not be permitted to make up an exam unless they have a documented legitimate reason and contact the instructor prior to the exam.
MAKEUP: Work missed for unavoidable cause may be made up with the instructor’s approval. Under no circumstances will absence for any reason excuse the student from completing all works assigned in a given course. After an absence, it is the responsibility of the student to check with the instructor regarding the completion of missed assignments.
GRADING:
•Exams 60%
•Homework 10%
•Final exam 30%(This will be a cumulative exam)
NOTE: Students must take the final exam to pass this course.
Your course grade earned is based upon the following percentages:
- A 90% or above
- B 80% or above
- C 70% or above
- D 60% or above
- F below 60%
STUDENT LEARNING OBJECTIVES FOR THIS COURSE:
Upon successful completion of the course, students should be able to:
1. Write vector dot and cross products and apply dot and cross product to writing equations for lines and planes and surfaces in space.
2. Write Cartesion equations, in Spherical and Cylindrical coordinates.
3. Differentiate and integrate vector valued functions.
4. Apply integration and differentiation to finding velocity and acceleration of bodies in space.
5. Find unit tangent and unit normal vectors and their application to velocity, acceleration and curvature.
6. Compute partial derivatives, differentials, directional derivatives and gradients.
7. Apply partial derivatives and language multipliers to solve the Optimization Problems.
8. Compute double and triple integrals and apply double and triple integration to the solution of center of mass, area, and volume problems.
9. Use the Jacobian and transformation of coordinates to solve multiple integration problems.
10. Graph vector fields.
11. Compute line and surface integrals.
12. Use Green’s Divergence and Stoke’s Theorems to solve various types of physical applications.
ATTENDANCE: All students are expected to attend every session of every course in which they are enrolled. Failure to do so may indicate lack of serious purpose. If you quit attending, it is up to you to drop the class. The instructor will not assume the responsibility of withdrawing the student from the class. However, the instructor reserve the right to drop the student who has more than three absents.
STUDENT WITH A DISABILITY: If you have a documented disability and wish to discuss academic accommodations, please contact me after class or contact the office of Disabled Student Programs & Services (DSP&S).
INSTRUCTOR’S POLICY:
1)Be prepared to work and ask questions!
2)Do not talk unnecessarily in class, but do ask question.
3)No food or drink is permitted in the classroom at any time.
4)Be on time and do not leave before being dismissed.
5)Turn off all cellular phones and pagers before entering the classroom.
6)Cheating policy: automatic “F” on the assignment/exam in question.
Instructor reserves the right to change and modify the syllabus.