COLLEGE OF ALAMEDA COURSE OUTLINE
COLLEGE:  COLLEGE OF ALAMEDA  STATE APPROVAL DATE:  09/27/2010 
ORIGINATOR:  Vanson Nguyen  STATE CONTROL NUMBER:  CCC000380993 
BOARD OF TRUSTEES APPROVAL DATE:  05/08/2008  
CURRICULUM COMMITTEE APPROVAL DATE:  02/17/2015  
CURRENT EFFECTIVE DATE:  
DIVISION/DEPARTMENT:  COA  Science, Technology, Engineering, Art, and Mathematics / A  MATHEMATICS 
1.  REQUESTED CREDIT CLASSIFICATION:  
D 
Credit  Degree Applicable N  Not Basic Skills 1  Program Applicable 

2.  DEPT/COURSE NO:  3.  COURSE TITLE: 
MATH 003C  Calculus III  
4.  COURSE: COA Course Changes only in NonCatalog Info  TOP NO. 170100  Mathematics, General  
5.  UNITS: 5.000  HRS/WK LEC: 5.00 Total: 87.50  
HRS/WK LAB:


6.  NO. OF TIMES OFFERED AS SELETED TOPIC: AVERAGE ENROLLMENT:  
7.  JUSTIFICATION FOR COURSE:  
Satisfies the General Education Analytical Thinking requirement for Associate Degrees. Provides foundation for more advanced study in mathematics and related fields, such as Physics. Intended to satisfy the Quantitative Reasoning component required for transfer to UC or CSU.  
8.  COURSE/CATALOG DESCRIPTION  
Partial differentiation: Jacobians, transformations, multiple integrals, theorems of Green and Stokes, differential forms, vectors and vector functions, geometric coordinates, and vector calculus.  
9.  OTHER CATALOG INFORMATION  


10. 
LIST STUDENT PERFORMANCE OBJECTIVES (EXIT SKILLS): (Objectives must define the exit
skills required of students and include criteria identified in Items 12, 14, and 15  critical thinking,
essay writing, problem solving, written/verbal communications, computational skills, working with
others, workplace needs, SCANS competencies, all aspects of the industry, etc.)(See SCANS/All
Aspects of Industry Worksheet.)
Students will be able to:


11A. 
COURSE CONTENT:
List major topics to be covered. This section must be more than listing
chapter headings from a textbook. Outline the course content, including essential topics, major
subdivisions, and supporting details. It should include enough information so that a faculty member
from any institution will have a clear understanding of the material taught in the course and the
approximate length of time devoted to each. There should be congruence among the catalog
description, lecture and/or lab content, student performance objectives, and the student learning
outcomes. List percent of time spent on each topic; ensure percentages total 100%.
LECTURE CONTENT: 1. Vectors in Two and Three Dimensions 2. Vector Functions
4. Multiple Integrals 5. Vector Calculus 

11B. 
LAB CONTENT: N/A


12. 
METHODS OF INSTRUCTION
(List methods used to present course content.)


13. 
ASSIGNMENTS:
10.00 hours/week
(List all assignments, including library assignments. Requires two (2)
hours of independent work outside of class for each unit/weekly lecture hour. Outside assignments
are not required for labonly courses, although they can be given.)
Outofclass Assignments:
Outofclass Assignments: Collegelevel textbook chapter readings that reinforce lecture material. Problem sets including computational problems equivalent in content and level of difficulty to those covered in the lectures. Additional problems that introduce supplemental concepts and formulas and require the synthesis and analysis of various concepts. Graphical representation and analysis specific to the study of calculus.
ASSIGNMENTS ARE: (See definition of college level): Primarily College Level 

14. 
STUDENT ASSESSMENT:
(Grades are based on):
ESSAY (Includes "blue book" exams and any written assignment of sufficient length and complexity to require students to select and organize ideas, to explain and support the ideas, and to demonstrate critical thinking skills.)
COMPUTATION SKILLS NONCOMPUTATIONAL PROBLEM SOLVING (Critical thinking should be demonstrated by solving unfamiliar problems via various strategies.) OTHER (Describe): Assess essay for understanding and application of concepts presented in classwork and supplemental material. Evaluate computation skills for accurate application of steps and correct answers. Evaluate students' ability to analyze given information and apply it in terms of the question. 

15.  TEXTS, READINGS, AND MATERIALS  
A. Textbooks:  


*Date is required: Transfer institutions require current publication date(s) within 5 years of outline addition/update. 

B. Additional Resources:  


C. Readings listed in A and B above are: (See definition of college level):  
Primarily college level 

16. 
DESIGNATE OCCUPATIONAL CODE: E  NonOccupational 

17. 
LEVEL BELOW TRANSFER: Y  Not applicable 

18. 
CALIFORNIA CLASSIFICATION CODE: Y  Credit Course 

19. 
NON CREDIT COURSE CATEGORY: Y  Not Applicable, Credit course 

20. 
FUNDING AGENCY CATEGORY: Y  Not Applicable (funding not used to develop course) 

PREREQUISITE:
 MATH 003B: Calculus II