12/26/2024 10:45:36 AM	MATH 2A Course Outline as of Fall 1999	Changed Course
CATALOG INFORMATION
Discipline and Nbr:  MATH 2A	Title:  CALCULUS 3
Full Title:  Calculus, Third Course
Last Reviewed:4/21/2008

Units		Course Hours per Week			Nbr of Weeks	Course Hours Total
Maximum	3.00	Lecture Scheduled	3.00		17.5 max.	Lecture Scheduled	52.50
Minimum	3.00	Lab Scheduled	0		17.5 min.	Lab Scheduled	0
		Contact DHR	0			Contact DHR	0
		Contact Total	3.00			Contact Total	52.50
		Non-contact DHR	0			Non-contact DHR Total	0

Total Out of Class Hours:  105.00

Total Student Learning Hours: 157.50

Title 5 Category:  AA Degree Applicable
Grading:  Grade Only
Repeatability:  00 - Two Repeats if Grade was D, F, NC, or NP
Also Listed As: 
Formerly: 

Catalog Description:

Multivariable calculus including partial differentiation and multiple integration, vector analysis including vector fields, line integrals, surface integrals, and the Theorems of Green, Gauss & Stokes.

Prerequisites/Corequisites:
Math 1B.

Recommended Preparation:

Limits on Enrollment:

Schedule of Classes Information
Description:

Multivariable calculus, vector fields, line integrals, surface integrals, Thoerems of Green, Gauss, and Stokes.

(Grade Only)
Prerequisites:Math 1B.
Recommended:
Limits on Enrollment:
Transfer Credit:CSU;UC.
Repeatability:00 - Two Repeats if Grade was D, F, NC, or NP

ARTICULATION, MAJOR, and CERTIFICATION INFORMATION

Associate Degree:		Effective:	Fall 1981	Inactive:	Fall 2010
Area:	B MC	Communication and Analytical Thinking Math Competency
CSU GE:	Transfer Area			Effective:	Inactive:
IGETC:	Transfer Area			Effective:	Inactive:
CSU Transfer:	Transferable	Effective:	Fall 1981	Inactive:	Fall 2010
UC Transfer:	Transferable	Effective:	Fall 1981	Inactive:	Fall 2010
C-ID:

Certificate/Major Applicable: Not Certificate/Major Applicable

COURSE CONTENT

Outcomes and Objectives:
At the conclusion of this course, the student should be able to:

To be successful, students should be able to:

1.Compute partial derivatives, directional derivatives and gradients,

 tangent planes, extrema of function of two variables.

2. Apply chain rules to multivariable and vector functions.

3. Compute and apply area in the plain, double integrals and volume,

  center of mass and moments of inertia.

4. Compute and apply surface area, triple intgrals and volume, triple

  integrals in cylindrical and spherical coordinate Systems.

5. Apply change of variables to evaluate integrals.

6. Apply vector fields, line integrals, independence of path, surface

  integrals, and the theorems of Green, Gauss, & Stokes.

Topics and Scope

1.   FUNCTIONS OF SEVERAL VARIABLES.

    Surfaces in space, partial derivatives, the Chain Rules, directional

    derivatives and gradients, tangent planes, extrema of function

    of two variables.

2.  Multiple Integration.

    Area in the plane, double integrals and volume, center of mass and

    moments of inertia, surface area, triple integrals and volume,

    triple integrals in cylindrical and spherical coordinate systems,

    change of variables.

3.  Vector Analysis.

    Vector fields, line integrals, independence of path, surface

    integrals, and the Theorems of Green, Gauss & Stokes.

Assignments:

1.  The student will have daily outside reading, problem set assignments

   from the required text(s), or instructor chosen supplementary

   materials.

2.  Instructional methodology may include, but not limited to: lecture,

   demonstrations, oral recitation, discussion, supervised practice

   independent study, outside project or other assignments.

Methods of Evaluation/Basis of Grade.

Writing: Assessment tools that demonstrate writing skill and/or require students to select, organize and explain ideas in writing.		Writing 0 - 0%
None
This is a degree applicable course but assessment tools based on writing are not included because problem solving assessments and skill demonstrations are more appropriate for this course.
Problem solving: Assessment tools, other than exams, that demonstrate competence in computational or non-computational problem solving skills.		Problem Solving 25 - 50%
Homework problems, Exams
Skill Demonstrations: All skill-based and physical demonstrations used for assessment purposes including skill performance exams.		Skill Demonstrations 30 - 70%
Performance exams
Exams: All forms of formal testing, other than skill performance exams.		Exams 5 - 25%
Multiple choice
Other: Includes any assessment tools that do not logically fit into the above categories.		Other Category 0 - 0%
None

Representative Textbooks and Materials:

Text(s) required of each student will be selected by the department,

a committee of the department, or the responsible instructor from

the books currently available. Choices in the past have included:

MULITVARIABLE CALCULUS(2ND), Stewart, Brooks/Cole, 1997

MULITVARIABLE CALCULUS (5th), Larson/Hostetler, Heath, 1997

Print PDF