12/26/2024 6:18:48 PM	MATH 9 Course Outline as of Summer 2012	Changed Course
CATALOG INFORMATION
Discipline and Nbr:  MATH 9	Title:  FINITE MATH
Full Title:  Finite Mathematics
Last Reviewed:3/13/2023

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		6 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 or P/NP
Repeatability:  00 - Two Repeats if Grade was D, F, NC, or NP
Also Listed As: 
Formerly: 

Catalog Description:

Sets, matrices, systems of equations and inequalities, linear programming, combinatorial techniques and probability, mathematics of finance, Markov chains, game theory.

Prerequisites/Corequisites:
Completion of MATH 154 or higher (VE)

Recommended Preparation:

Limits on Enrollment:

Schedule of Classes Information
Description:

Sets, matrices, systems of equations and inequalities, linear programming, combinatorial techniques and probability, mathematics of finance, Markov chains, game theory.

(Grade or P/NP)
Prerequisites:Completion of MATH 154 or higher (VE)
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:
Area:	B MC	Communication and Analytical Thinking Math Competency
CSU GE:	Transfer Area			Effective:	Inactive:
	B4	Math/Quantitative Reasoning		Fall 1981
IGETC:	Transfer Area			Effective:	Inactive:
	2A	Mathematical Concepts & Quantitative Reasoning		Fall 1981
CSU Transfer:	Transferable	Effective:	Fall 1981	Inactive:
UC Transfer:	Transferable	Effective:	Fall 1981	Inactive:
C-ID:
CID Descriptor: MATH 130	Finite Mathematics	SRJC Equivalent Course(s): MATH9

Certificate/Major Applicable: Major Applicable Course

COURSE CONTENT

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

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

1.  Define sets and perform matrix operations.

2.  Apply matrix methods of solving systems of equations.

3.  Apply the fundamental counting principle, permutations, and

     combinations to problems involving the Binomial Theorem and

     probability.

4.  Use expected value, conditional probability and Markov chains.

5.  Apply graphical and simplex linear programming methods.

6.  Apply compound interest, annuities, present value, sinking funds,

     amortization formulas.

7.  Apply fundamentals of game theory.

Topics and Scope

I.    Discrete Methods

      A. Introduction to sets

      B. Matrices

           1. Operations

           2. Methods of solving systems of equations

      C. Permutations

      D. Combinations

      E. Binomial Theorem

II.  Probability

      A. Counting techniques

           1. Fundamental counting principle

           2. Permutations

           3. Combinations

      B. Application of counting techniques to probability

      C. Expected value

      D. Conditional probability

      E. Markov chain

III. Linear Programming

      A. Graphical methods

      B. Simplex methods

IV. Mathematics of Finance

      A. Compound interest

      B. Annuities

      C. Present value

      D. Sinking funds

      E. Amortization

V.  Game Theory

      A. Fundamentals

      B. Matrix methods

      C. Linear programming methods

Assignments:

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).

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 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 5 - 20%
Homework problems
Skill Demonstrations: All skill-based and physical demonstrations used for assessment purposes including skill performance exams.		Skill Demonstrations 0 - 0%
None
Exams: All forms of formal testing, other than skill performance exams.		Exams 70 - 95%
Multiple choice and free response exams; quizzes
Other: Includes any assessment tools that do not logically fit into the above categories.		Other Category 0 - 10%
Projects

Representative Textbooks and Materials:

Finite Mathematics (4th ed.).  Waner, Stefan and Constenoble, Steven.

Brooks/Cole:  2007.

Finite Mathematics (11th ed.). Barnett, Raymond; Ziegler, Michael; Byleen,

Karl.  Prentice Hall:  2008.

Finite Mathematics (9th ed.). Lial, Margaret; Greenwell, Raymond; Ritchey,

Nathan.  Addison Wesley:  2007.

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