SRJC Course Outlines

9/24/2022 10:36:45 AMMATH 2A Course Outline as of Fall 1999

Changed Course
CATALOG INFORMATION

Discipline and Nbr:  MATH 2ATitle:  CALCULUS 3  
Full Title:  Calculus, Third Course
Last Reviewed:4/21/2008

UnitsCourse Hours per Week Nbr of WeeksCourse Hours Total
Maximum3.00Lecture Scheduled3.0017.5 max.Lecture Scheduled52.50
Minimum3.00Lab Scheduled017.5 min.Lab Scheduled0
 Contact DHR0 Contact DHR0
 Contact Total3.00 Contact Total52.50
 
 Non-contact DHR0 Non-contact DHR Total0

 Total Out of Class Hours:  105.00Total 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:
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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, 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:TransferableEffective:Fall 1981Inactive:Fall 2010
 
UC Transfer:TransferableEffective:Fall 1981Inactive:Fall 2010
 
C-ID:

Certificate/Major Applicable: Not Certificate/Major Applicable



COURSE CONTENT

Outcomes and Objectives:
Upon completion of the course, students will be able to:
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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
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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:
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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:
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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

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