Yuba Community College District

Yuba College Course Outline

### Course Information

Course Number: MATH 25
Full Course Title: Finite Mathematics
Short Title: Finite Math
TOP Code: 1701.00 - Mathematics, General
Effective Term: Spring 2014

### Course Standards

Course Type: Credit - Degree Applicable
Units: 3.0
Total class hours: 162.0
Total contact hours in class: 54.0
Lecture hours: 54.0
Hours outside of class: 108.0
Repeatable: No

### Minimum Qualifications for Instructors

• Mathematics (Masters Required)

### Course Description

Linear functions, systems of linear equations and inequalities, matrices, linear programming, mathematics of finance, sets and Venn diagrams, combinatorial techniques and an introduction to probability. Applications in business, economics and social sciences.

### Conditions of Enrollment

Satisfactory completion of: MATH 52 or MATH 52B or (Placement Exam Score)a satisfactory score on the mathematics placement test Placement test scores have been shown to give a good indication at what level math course a student should begin.

• Language - recommended eligibility for English 1A
• Mathematics - recommended eligibility for Math 52

### Content

Course Lecture Content

1. Linear equations and functions

2. Exponential and logarithmic functions and their applications

3. Applications of linear functions to economics such as cost, revenue and profit functions, supply and demand equations, break-even point, and free market equilibrium

4. Systems of linear equations

5. Matrices including matrix algebra, Gauss-Jordan elimination and reduced-row echelon form, inverse matrices, and applications

6. Linear programming

7. Math of finance including simple and compound interest, future and present value, annuities, sinking funds, and amortization

8. Set theory including DeMorgan's Laws and Venn diagrams

9. Probability and combinatorics including permutations and combinations; finding the probability of an event given the probabilities of the simple events in a sample space; conditional probability

### Objectives

1. Apply linear and exponential graphs and functions **Requires Critical Thinking**

2. Write a system of linear equations to solve applied problems **Requires Critical Thinking**

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

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. Find unions, intersections and complements of sets and use Venn diagrams to solve problems

7. Apply basic combinatorial principles to enumeration problems **Requires Critical Thinking**

8. Determine the probability of a specified event

9. Find the conditional probability of an event

10. Solve applied problems in finance including simple and compound interest, future and present value annuities, sinking funds, and amortization **Requires Critical Thinking**

### Student Learning Outcomes

1. Demonstrate mastery of matrix operations of addition and multiplication.
2. Solve problems in linear programming graphically and using the simplex method.

### Methods of Instruction

• Lecture/Discussion

### Assignments

Writing Assignments
Other Assignments

2. Writing out work done on homework problems

### Methods of Evaluation

• Exams
• Homework
• Portfolio
• Problem Solving Exercises
• Quizzes
• Research Project

### Course Materials

Textbooks:
1. Barnett, Ziegler, and Byleen. Finite Mathematics for Business, Economics, Life Sciences, and Social Sciences, 12th ed. Prentice Hall, 2011, ISBN: 978-0-321-61401-8
Equivalent text is acceptable
Other:
1. Scientific or graphing calculator