Chabot College Fall 2004
Replaced Fall 2010
Course Outline for Mathematics 3W
MULTIVARIABLE CALCULUS WORKSHOP
Catalog Description:
3W - Multivariable Calculus Workshop .25 - .5 units
Laboratory, study group, collaborative workshop or computer laboratory time for Multivariable Calculus.
Corequisite: Mathematics 3. 1 - 2 hours laboratory.
[Typical contact hours: 17.5-35]
Prerequisite Skills:
None
Expected Outcomes for Students:
Upon completion of the course, the student should be able to:
1. read and write the mathematics used in Multivariable Calculus;
2. use technology currently used in Multivariable Calculus;
3. solve problems on their own and with peers without having to rely on an instructor.
Course Content:
1. Applications of principles and concepts
Methods of Presentation:
1. Individual instruction
2.
3.
Collaboration
Computer-assisted/graphing calculator instruction
Assignments and Methods of Evaluating Student Progress:
1. Typical Assignments a. Let f be a function of two variables that has continuous partial derivatives and consider the points
A(1, 3), B(3, 3), C(1, 7), and D(6, 15). The directional derivative of f at A in the direction of the vector AB is 3 and the directional derivative at A in the direction of AC is 26. Find the directional derivative of f at A in the direction of the vector AD. b. Two legs of a right triangle are measured as 5 m and 12 m with a possible error in measurement
2. of at most 0.2 cm in each. Use differentials to estimate the maximum error in the calculated value of (a) the area of the triangle and (b) the length of the hypotenuse.
Methods of Evaluating Student Progress a. Attendance b. In-class assignments
Textbook(s)(typical):
Calculus , James Stewart, Brook/Cole, 2003
Special Student Materials:
None
CS:al
Revised 10/16/03