  # Finite Mathematics

Prerequisites
MAT 154 or higher with a grade of "C" or higher or EAC Placement Test Score of 81 or higher or
equivalent

Educational Value
This class is recommended for business administration major or computer information systems transfer
students.

Description
Math for social , life, and management sciences. Topics covered will be applicable to certain business
majors (please consult your advisor). Includes systems of equations, set theory, matrices, probability,
logic, and other subjects.

Textbooks
Tan, S. T.; Finite Mathematics for the Managerial, Life, and Social Sciences, 8th ed., Brook/Cole
Publishing, 2008. ISBN-13: 9780495387527. Required.

Supplies
Scientific calculator; TI-83 or TI-84 recommended.

Competencies and Performance Standards

1. Graph linear functions and write their equations
Learning objectives

What you will learn as you master the competency:
a. Graph a line.
b. Translate word problems into linear equations .
c. Find the intercepts of a given linear equation.
Performance Standards
You will demonstrate your competence:
o On assigned activities
o On written exam
o On a two hour cumulative final exam
Your performance will be successful when:
o You can graph a line.
o You can translate word problems into linear equations.
o You can find the intercepts of a given linear equation.

2. Solve linear equations in 2 or 3 variables .
Learning objectives

What you will learn as you master the competency:
a. Solve systems of linear equations (2 or 3 variables) algebraically.
b. Solve systems of linear equations (2 variables) graphically.
c. Solve systems of equations using Gauss -Jordan method (2 or 3 variables).
d. Perform the following operations with matrices : addition , subtraction , and multiplication.
e. Calculate the inverse of a matrix.
f. Solve systems of equation by using the inverse matrix.
Performance Standards
You will demonstrate your competence:
o On assigned activities
o On written exam
o On a two hour cumulative final exam
Your performance will be successful when:
o You can solve systems of linear equations (2 or 3 variables) algebraically.
o You can solve systems of linear equations (2 variables) graphically.
o You can solve systems of equations using Gauss-Jordan method (2 or 3 variables).
o You can perform the following operations with matrices: addition, subtraction, and
multiplication.
o You can calculate the inverse of a matrix.
o You can solve systems of equations by using the inverse matrix.

3. Solve linear programming problems graphically.
Learning objectives

What you will learn as you master the competency:
a. Graph systems of inequalities in two variables.
b. De termine the feasible region and its vertices.
c. Solve linear programs graphically by using the vertices of the feasible region.
Performance Standards
You will demonstrate your competence:
o On assigned activities
o On written exam
o On a two hour cumulative final exam
Your performance will be successful when:
o You can graph systems of inequalities in two variables.
o You can determine the feasible region and its vertices.
o You can solve linear programs graphically by using the vertices of the feasible region.

4. Solve linear programming problems algebraically.
Learning objectives

What you will learn as you master the competency:
a. Maximize a linear program with the use of the Simplex method .
b. Minimize a linear program with the use of the Simplex method.
c. Maximize or minimize non standard linear program using the Simplex method.
Performance Standards
You will demonstrate your competence:
o On assigned activities
o On written exam
o On a two hour cumulative final exam
Your performance will be successful when:
o You can maximize a linear program with the use of the Simplex method.
o You can minimize a linear program with the use of the Simplex method.
o You can maximize or minimize non standard linear program using the Simplex method.

5. Calculate the mathematics of finance.
Learning objectives

What you will learn as you master the competency:
a. Calculate compound interest .
b. Calculate annuities.
c. Produce an amortization table.
d. Produce a sinking fund chart .
Performance Standards
You will demonstrate your competence:
o On assigned activities
o On written exam
o On a two hour cumulative final exam
Your performance will be successful when:
o You can calculate compound interest.
o You can calculate annuities.
o You can produce an amortization table.
o You can produce a sinking fund chart.

6. Understand sets and set operations.
Learning objectives

What you will learn as you master the competency:
a. Demonstrate the correct use of set notation and terminology within given sets.
b. Draw venn diagrams of given sets.
c. Determine the union, intersection, and/or complement of given sets.
d. Determine the number of elements in a finite set.
e. Use the multiplication principle to determine the number of ways of performing several tasks
in succession.
f. Calculate the number of combinations of n distinct objects taken r at a time in a given set.
g. Calculate the number of permutations of n distinct objects taken r at a time in a given set.
Performance Standards
You will demonstrate your competence:
o On assigned activities
o On written exam
o On a two hour cumulative final exam
Your performance will be successful when:
o You can demonstrate the correct use of set notation and terminology within given sets.
o You can draw venn diagrams of given sets.
o You can determine the union, intersection, and/or complement of given sets.
o You can determine the number of elements in a finite set.
o You can use the multiplication principle to determine the number of ways of performing
several tasks in succession.
o You can calculate the number of combinations of n distinct objects taken r at a time in a
given set.
o You can calculate the number of permutations of n distinct objects taken r at a time in a
given set.

7. Calculate probabilities.
Learning objectives

What you will learn as you master the competency:
a. Define experiment, event, sample space, and probability.
b. Compute the probability of an event.
c. Recognize mutually exclusive events and independent events.
d. Compute the probability of combined events.
e. Use the rules of probability to solve more advanced probability problems.
Performance Standards
You will demonstrate your competence:
o On assigned activities
o On written exam
o On a two hour cumulative final exam
Your performance will be successful when:
o You can define experiment, event, sample space, and probability.
o You can compute the probability of an event.
o You can recognize mutually exclusive events and independent events.
o You can compute the probability of combined events.
o You can use the rules of probability to solve more advanced probability problems.

Types of Instruction
Classroom Presentation

Grading Information
Grading Rationale:

Each instructor has the flexibility to develop evaluative procedures within the following parameters.
1. Written exams must re present at least 60% of the final course grade
2. Final exam must represent at least 20 % of the final course grade.
3. The Post Test is to be embedded in the final exam and must represent at least 10% of the final course
grade.
4. Other activities may represent at most 10 % of the final course grade.

Grading Scale
A 90%-100%
B 80%-89%
C 70%-79%
D 60%-69%
F Below 60%

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