11/21/2024 4:24:51 AM	MATH 9 Course Outline as of Summer 2019	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 MATH 155 or MATH 156 or AB705 placement into Math Tier 3 or higher

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 MATH 155 or MATH 156 or AB705 placement into Math Tier 3 or higher
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

Student Learning Outcomes:
At the conclusion of this course, the student should be able to:

1.  Use linear functions, exponential functions, and matrices to solve problems in finance and

    economics.

2.  Solve linear programming problems using graphing and simplex methods.

3.  Apply the formulae of the mathematics of finance to real-world situations.

4.  Use basic set theory, combinatorial techniques, probability, expected value, Markov chains,

    and game theory.

Objectives:

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

1.   Apply linear and exponential graphs and functions to solve problems in finance economics.

2.   Write a system of linear equations to solve applied problems.

3.   Solve a system of linear equations using Gauss-Jordan elimination and interpret the result.

4.   Find the inverse of a square matrix and use the inverse to solve a system of linear equations.

5.   Solve linear programming problems in at least three variables.

6.   Apply graphical and simplex methods to linear programming problems.

7.   Find unions, intersections and complements of sets using Venn diagrams.

8.   Apply the fundamental counting principle, permutations, and combinations to probability

      problems.

9.   Determine the probability of a specified event.

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

11. Solve applied problems in finance including simple and compound interest.

12. Solve applied problems in finance including future and present value, annuities, sinking

      funds, and amortization.

13. Apply fundamentals of game theory.

Topics and Scope

I.  Discrete Methods

    A. Set Theory including DeMorgan's Laws and Venn diagrams

    B. Matrices

         1. Matrix algebra, including  inverses to solve systems of linear equations in at least three

              variables

         2. Using Gauss-Jordan elimination and reduced row echelon form and applications

    C.  Counting techniques

         1. Fundamental counting principle

         2. Permutations

         3. Combinations

II. Probability

    A. Finding the probability of an event given the probabilities of the simple events in a sample

         space

    B. Finding probabilities using combinatorics including permutations and combinations

    C. Expected value

    D. Conditional probability

    E. Markov chains

III. Linear Programming

    A. Graphical methods

    B. Simplex methods in at least 3 variables

IV. Mathematics of Finance and Economics

    A. Applications of linear functions to economics

         1. Cost, revenue, and profit

         2. Supply and demand curves

         3. Break-even point

         4. Free market equilibrium

    B. Simple and compound interest functions

         1. Solving  using exponential functions

         2. Solving using logarithmic functions

    C. Annuities

    D. Present value

    E. Future value

    F. Sinking funds

    G. Amortization

V.  Game Theory

    A. Fundamentals

    B. Matrix methods

Assignments:

1. Reading outside of class (10-50 pages per week)

2. Problem set assignments from required text(s), or supplementary materials chosen by the

    instructor (1-6 per week)

3. Quizzes (0-4 per week)

4. Exams (3-8 per term)

5. Projects (for example, computer explorations or modeling activities, 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 for Business, Economics, Life Sicence, and Social Sciences. 13th ed. Barnett, Raymond and Ziegler, Michael and Byleen, Karl.  Pearson. 2015

Finite Mathematics. 11th ed. Lial, Margaret and Greenwell, Raymond and Ritchey, Nathan.  Pearson. 2015

Finite Mathematics. 6th ed.  Waner, Stefan and Constenoble, Steven. Cengage Learning. 2014 (classic)

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