# SRJC Course Outlines

 5/19/2024 12:57:00 AM MATH 2A Course Outline as of Fall 2010 Inactive 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
Repeatability:  00 - Two Repeats if Grade was D, F, NC, or NP
Also Listed As:
Formerly:

Catalog Description:
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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: Untitled document
Multivariable calculus including partial differentiation and multiple integration, vector analysis including vector fields, line integrals, surface integrals, and the theorems of Green, Gauss, and Stokes.

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

ARTICULATION, MAJOR, and CERTIFICATION INFORMATION

 Associate Degree: Effective: Inactive: Area: CSU GE: Transfer Area Effective: Inactive: IGETC: Transfer Area Effective: Inactive: CSU Transfer: Effective: Inactive: UC Transfer: Effective: Inactive: C-ID:

Certificate/Major Applicable: Major Applicable Course

COURSE CONTENT

Outcomes and Objectives:
At the conclusion of this course, the student should be able to:
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Upon completion of the course, students will be able to:
1.  Compute partial derivatives, directional derivatives and gradients,
tangent planes and extrema of functions of two variables.
2.  Apply chain rules to multivariable and vector functions.
3.  Compute and apply area in the plane, double integrals and volume,
center of mass, and moments of inertia.
4.  Compute and apply surface area, triple integrals and volume, double integrals in
rectangular and polar coordinate systems, and triple integrals in rectangular, 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
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I.   Functions of Several Variables
A. Surfaces in space
B. Partial derivatives
C. Chain rules
E. Tangent planes
F. Extrema of functions of two variables
II.  Multiple Integration
A. Area in the plane
B. Double integrals and volume
C. Center of mass and moments of inertia
D. Surface area
E. Triple integrals and volume
F. Triple integrals in cylindrical and spherical coordinate systems
G. Change of variables
III. Vector Analysis
A. Vector fields
B. Line integrals
C. Independence of path
D. Surface integrals
E. Theorems of Green, Gauss & Stokes

Assignments:
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1.  Daily reading outside of class (approximately 20-50 pages per week).
2.  Problem set assignments from required text(s) or supplementary
materials chosen by the instructor (approximately 1-6 per week).
3.  Quizzes (approximately 0-4 per week).
4.  Exams (approximately 3-8 per term).
5.  Projects (for example, computer explorations or modeling activities,
approximately 0-10 per term).