M110 Syllabus, Fall 02

CUYAMACA COLLEGE
"Learning for the Future"
Spring 2004

COURSE	Math 281-Intermediate Calculus (16 weeks/ 4 hrs lecture)
SECTION 1139	M - Th 12:30pm -1:20pm T 103
INSTRUCTOR	Donna Troy
OFFICE & PHONE	G 115 ( 619) 660-4363
E MAIL	donna.troy@gcccd.net
OFFICE HOURS	Mon. 1:30-2:30pm Tues. 2:30-3:30pm Wed. 1:30-3:00pm Fri. 9:30-10:00am 12:00-1:00pm

COURSE MATERIALS:

Textbook: (Multivariable or Early Transcendental) Calculus; forth edition; by Stewart.

Student solutions Guide: This optional resource provides worked out solutions to many odd exercises in the textbook. Copies of this guide are available in the LRC and in the Math Study Center.

COURSE DESCRIPTION:
This course is the third semester of a three-semester calculus sequence. The topics include three dimensional space geometry, vectors and vector-valued functions, partial derivatives, multiple integrals, Grrn's Theorem, line and surface integrals and their applications in Cartesian, sylindrical, and spherical coordinate systems.

Length of class: 16 weeks/4 hours lecture
Prerequisites: Math 280 or equivalent with a grade of C or better

COURSE OBJECTIVES:

• Sketch graphs of functions in several variables; compute limits, derivatives and integrals of functions of several variables.

• Graph vector-valued functions; take the limit of a vector-valued function; compute the derivative and integral of a vector-valued function; find arc length, and tangent and normal lines for curves defined by vector-valued functions.

• Calculate double and triple integrals of functions of several variables in rectangular, polar, or spherical coordinates, whichever is most appropriate in the given application.

• Evaluate line integrals using several methods. Use these integrals in applied problems.

IMPORTANT DATES

Feb. 7 The last day to add class

Jan. 26 and Feb 7 If you drop between these dates, you will NOT receive a "W" (grade of Withdrawal).

Feb. 8- Apr. 24 If you drop between these dates, you will receive a "W"

Mar. 1 Last day to apply for Credit /No Credit class

Mar. 22 Last day to apply for a degree or certificate

May. 27 Final Exam Thursday, from 12:30-2:30pm

GRADING SCALE

A 90% -100%

B 80% - 89%

C 70% - 79%

D 60% - 69%

F Below 60%

EVALUATION:

1. Tests    60%
There will be four tests given during the semester. There will be no make-up tests. Instead, I will automatically replace your lowest test score with your final exam score (if higher, of course). Tests will be given during a 2.5 hour time slot to allow for ample time to complete the test.
General test directions: Show all work for full credit. Use only Calculus III techniques to complete problems. No TI-Voyage200, 89, or 92 graphing calculators allowed. You may not use notes, textbooks, or any other reference on tests. Be sure to show all of your supporting work carefully, clearly, and in proper mathematical form. Solutions offered without such supporting work will not receive any credit.

2. Quizzes   15%
Homework assignments will be collected on a regular basis. The homework grade will be based on the number of problems completed, the amount of supporting work shown, the use of proper mathematical form, effort, neatness, and organization. Complete homework on loose-leaf paper instead of in a spiral notebook. Solutions copied from the solutions manual will not receive credit.

The completion of every homework assignment is very important to your success in this class. Mathematics is a “learn by doing” subject. A good rule is to set aside eight to ten hours per week to do your homework. If your Calculus I and/or II skills are not sharp, plan on spending more time to do homework. Do not allow yourself to fall behind. Catching up before a test is an extremely difficult task.

3. Final Exam 25%
There will be a mandatory comprehensive final exam on Thursday, May 27^th from 12:30pm – 2:30pm. The exam must be taken at this time only. A 3” x 5” note card containing formulas may be used on the final exam.

HOMEWORK ASSIGNMENTS:

The completion of every homework assignment is very important to your success in this class. Mathematics is a “learn by doing” subject. It is wise to do more than the recommended homework problems in areas where you need more practice. A good rule is to set aside eight to ten hours per week to do your homework. Do not allow yourself to fall behind. Catching up before a test is an extremely difficult task.

RESOURCES:

There are many ways to get help if you feel you need additional assistance. I strongly encourage you to take advantage of the following resources:

Instructor:: Please do not hesitate to ask questions. Come and keep me busy during office hours - no appointment needed. If I am in the midst of talking to another student when you come to my office, please be sure that I know you are waiting. If your schedule conflicts with my regular office hours, I’ll be happy to make an appointment to see you another time.

Classmates: Help each other! Work in study groups as often as possible. My office hours and tutoring center hours will most likely not provide sufficient time for all of your questions to be answered. You will need to rely on each other. Group work can be both beneficial and enjoyable.

MESA Academic Excellence Workshop: The MESA program offers a workshop every Firday from 10:00pm-12:00pm specifically for Math 281 students to help reinforce material covered in class. I highly recommend this workshop.

Tutoring/Study Centers: Study assistance is offered at no cost at two places on campus.

Math Study Center Hours (in room N104; phone 660 - 4396)

MESA Center (in room L135; phone 660 - 4477)

    5.   Open Computer Labs: You may choose to explore concepts in class by using the Converge program in either of the locations listed below. The Math Study Center also has several extra computers (see hours and location information above).

Math Computer Lab Hours (in room N103)

Monday       3:00pm-5:00pm
Tuesday       3:30pm-7:00pm
Wednesday 3:30pm-5:00pm
Thursday      no lab
Friday          2:00pm-5:00pm

LRC Computer Lab (LRC 2^nd floor; phone 660 – 4447)

ATTENDANCE AND TARDINESS:

· I expect all students to be in class everyday. There is a strong correlation between regular attendance and success in this course. If absent, it is the sole responsibility of the student to learn the material covered the day of the absence. Office hours may not be used to repeat lectures given on class days that you missed.

· I expect all students to be on time everyday. If you are late you not only miss important material but you are distracting to myself and other students.

· If for any reason you need to drop out of the course, I recommend that you consult me first. If you do decide to drop, remember that it is your responsibility to contact Admissions and Records to make it official.

OTHER ITEMS:

• An incomplete will be given only if you are passing the class and are unable to take the final exam due to an emergency.

• Academic accommodations are available for students with disabilities. If you believe you have a learning disability or require services for any other type of disability, visit the Disabled Students Programs and Services (DSPS) office in the Student Services Building (Z100) or call 660 – 4239.

• This course adheres to the policies outlined in the Cuyamaca College catalogue. For further information, see Academic Policies stated in the catalogue.

• The information on this syllabus is subject to change.

HOMEWORK ASSIGNMENTS FOR FALL 2003

Not: For students with the Early Transcendental textbook, subtract one from chapter number

13.1 - #1, 4, 5, 6, 10, 11, 13, 14, 17, 20, 21, 22, 23, 24, 31, 33, 35, 39

13.2 - #1, 2, 4, 5, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 32, 36

13.3 - #1ace, 3, 5, 7, 14, 15, 19, 25, 27, 29, 32, 39, 41, 44, 50, 52, 55, 56

13.4 - #1, 3, 5, 9, 10, 11, 12, 13, 15, 19, 25, 27, 41, 45ab

13.5 - #1, 3, 5, 6, 7, 11, 15, 17, 19, 22, 24, 27, 29, 33, 35, 37, 43, 47a, 49, 50, 51, 53, 57, 58

13.6 - #1, 3, 8, 7 – 19 odd, 21 – 35, 42    (Note: Sketch all as done in class)

13.7 - #5 - 59 odd

14.1 - #1 – 21, 29 – 32

14.2 - #1, 3, 5, 6, 7, 9, 11 – 15, 17 - 19, 21, 23, 24, 25, 26, 33 – 40

14.3 - #1, 2, 3, 4, 7, 9, 11a, 12a, 13a, 14a

14.4 - #1, 3, 4, 5, 6, 7, 9, 11, 15, 16, 19, 21, 22, 23, 25, 27, 29, 31, 33


15.1 - #1, 2, 3, 5, 7, 9, 11, 13, 15, 17, 19, 23, 24, 25, 27, 29, 30, 32, 33, 35, 39, 45, 51 – 57, 59

15.2 - #5, 7, 9, 13, 15, 17, 19, 23, 27, 33

15.3 - #3, 6, 11 – 29 odd, 33, 35, 39, 41, 43, 45, 47, 51, 53, 55, 57, 59, 66, 71, 74, 77

15.4 - #1, 3, 5, 13, 17, 23, 25, 27, 31 - 34, 36

15.5 - #1, 3, 5, 7, 9, 11, 13, 15, 16, 17, 18, 19, 21, 23, 33, 35, 36, 38, 41, 51

15.6 - #1, 3, 5, 7, 11, 13, 15, 17, 19, 21, 23, 25, 31, 33, 37, 39, 41, 45

15.7 - #1, 3, 5, 7, 9, 11, 15, 17, 27, 29, 37, 39

15.8 - #1, 2, 5, 8, 13, 19, 23, 25, 27

16.1 - #1, 3, 5, 11, 12, 13, 14, 17

16.2 - #1 – 15 odd, 21, 22, 23, 24, 29

16.3 - #1 – 15 odd, 19, 20, 22, 23, 25, 26, 27, 33 - 44

16.4 - #1 - 7, 9 11, 13, 15 - 24, 27 - 30   (#29 – set up only)

16.5 - #1, 2, 3, 5, 7, 9   (#3, 5, 7, 9 – mass only)

16.6 -#1, 2, 6, 8, 11, 13

16.7 - #3, 5, 6, 7, 9, 11, 13, 15 (set up only), 17, 19, 20 (set up only), 25, 27, 45, 46

16.8 - #1 - 7, 9, 11, 13, 17, 19, 21, 23, 29 (no centroid) , 33 - 36

16.9 -#2, 5, 9, 10, 11, 14, 17, 19

17.1 - #1, 3, 7, 11 - 18, 21, 23, 26, 27

17.2 - #1 – 21 odd, 20, 22, 31 (mass only), 37, 39, 43

17.3 - #1, 2, 3, 5, 7, 9, 11, 13, 15, 17, 19, 20, 21, 22, 23

17.4 - #1, 4, 7, 8, 11, 14, 17, 19

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