Tennessee Technological University
Mathematics Department
MATH 1630: Finite Mathematics
I.
COURSE DESCRIPTION FROM CATALOG:
Brief review of basic algebra; introduction to probability; matrix algebra and linear programming;
applications to business and economics. Lec. 3. Cr. 3.
II.
PREREQUISITE(S):
Minimum of two years of high school algebra and one year of high school geometry.
III.
COURSE OBJECTIVE(S):
Build on (not replicate) the competencies gained through the study of two years of high school
algebra and one year of high school geometry. Use mathematics to solve problems and determine
if the solutions are reasonable. Use mathematics to model real world behaviors and apply
mathematical concepts to the solution of real-life problems. Make meaningful connections between
mathematics and other disciplines. Use technology for mathematical reasoning and problem
solving. Apply mathematical and/or basic statistical reasoning to analyze data and graphs.
Ability to analyze and synthesize ideas, information, and data arising from selected topics
in mathematics.
IV.
TOPICS TO BE COVERED:
CHAPTER 1
1.1
1.2
1.3
Linear Equations and Graphs
Linear Equations and Inequalities
Graphs and Lines
Linear Regression - Omit
2.1
2.2
2.3
2.4
2.5
2.6
Functions and Graphs
Functions
Elementary Functions: Graphs and Transformations
Quadratic Functions
Polynomial and Rational Functions
Exponential Functions (Optional)
Logarithmic Functions (Optional)
3.1
3.2
3.3
3.4
Mathematics of Finance
Simple Interest (Optional)
Compound and Continuous Compound Interest (Optional)
Future Value of an Annuity; Sinking Funds - Omit
Present Value of an Annuity; Amortization - Omit
4.1
4.2
4.3
4.4
4.5
4.6
4.7
Systems of Linear Equations in Two Variables
Review: Systems of Linear Equations in Two Variables
Systems of Linear Equations and Augmented Matrices
Gauss-Jordan Elimination
Matrices: Basic Operations
Inverse of a Square Matrix
Matrix Equations and Systems of Linear Equations
Leontief Input-Output Analysis - Omit
CHAPTER 2
CHAPTER 3
CHAPTER 4
Students with a disability requiring accommodations should contact the Office of Disability Services (ODS).
An Accommodation Request (AR) should be completed as soon as possible, preferably by the end of the first
week of the course. The ODS is located in the Roaden University Center, Room 112; phone 372-6119.
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CHAPTER 5
5.1
5.2
5.3
Linear Inequalities and Linear Programming
Linear Inequalities in Two Variables
Systems of Linear Inequalities in Two Variables
Linear Programming in Two Dimensions; A Geometric Approach
7.1
7.2
7.3
7.4
Logic, Sets, and Counting
Logic
Sets
Basic Counting Principles
Permutations and Combinations
8.1
8.2
8.3
8.4
Probability – As time permits
Sample Spaces, Events, and Probability
Union, Intersection, and Complement of Events; Odds
Conditional Probability, Intersection, and Independence
Bayes’ Formula
CHAPTER 7
CHAPTER 8
V.
ADDITIONAL INFORMATION:
This course may be used to satisfy the minimum general education requirements in mathematics. It
provides an opportunity for students to address real-life problems in business and economics
through strategic reasoning and applications of the scientific method.
VI.
POSSIBLE TEXTS AND REFERENCES:
Finite Mathematics for Business, Economics, Life Sciences, and Social Sciences, 12th
Edition, Barnett, Ziegler, and Byleen
VII. ANY TECHNOLOGY THAT MAY BE USED:
MyMathLab or MathXL for online homework applications
Students with a disability requiring accommodations should contact the Office of Disability Services (ODS).
An Accommodation Request (AR) should be completed as soon as possible, preferably by the end of the first
week of the course. The ODS is located in the Roaden University Center, Room 112; phone 372-6119.
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