Math 151 Linear Mathematics on the Web

REQUIRED TECHNOLOGY: TI-83 or TI-84 graphing calculator required for course – discuss with
instructor if you own a different graphing calculator

CATALOG DESCRIPTION OF COURSE:
A course in algebraic , logarithmic, and exponential functions . Other topics include systems of linear equations and inequalities , matrices, linear programming, and mathematics of finance. (Prerequisite: Two years of algebra and one year of geometry in high school or completion of developmental mathematics).

3 Semester Credits

COURSE OUTCOMES:

The student will develop and demonstrate the ability to:

1.Apply the concept of function and mathematical modeling in business, economics, and management applications.
2.Graph and use linear and polynomial functions in applications.
3.Graph and use exponential and logarithmic functions in applications.
4. Calculate interest , present and future value, annuities, and amortization tables.
5.Solve and use systems of linear equations and inequalities in two variables in applications .
6.Use Gauss-Jordan elimination to solve linear systems of equations with two or more variables in applications.
7.Understand the concept of matrices and their usage and perform operations on matrices.
8. Formulate and solve linear programming problems graphically and by using the Simplex Method .
9.Use calculators and computers in learning and doing mathematics.

GENERAL EDUCATION DESIGNATION: Mathematics (3 hours)

COURSE CONTENT: The instructor may change the order of the topics.

Chapter 1 – Linear Equations and Functions
1.1Solution of Linear Equations and Inequalities in One Variable
1.2Functions
1.3Linear Functions
1.4Graphs and Graphing Utilities
1.5 Solutions of Systems of Linear Equations
1.6 Applications of Functions in Business and Economics

Chapter 2 – Quadratic and Other Special Functions
2.1Quadratic Equations
2.2Quadratic Functions; Parabolas
2.3Business Applications of Quadratic Functions
2.4Special Functions and Their Graphs
2.5Modeling; Fitting Curves to Data with Graphing Utilities

Chapter 3 – Matrices
3.1Matrices
3.2Multiplication of Matrices
3.3Gauss-Jordan Elimination: Solving Systems of Equations
3.4Inverse of a Square Matrix ; Matrix Equations

Chapter 4 – Inequalities and Linear Programming
4.1Linear Inequalities in Two Variables
4.2Linear Programming: Graphical Methods
4.3The Simplex Method: Maximization

Chapter 5 – Exponential and Logarithmic Functions
5.1Exponential Functions
5.2Logarithmic Functions and Their Properties
5.3Solution of Exponential Equations: Applications of Exponential and Logarithmic Functions

Chapter 6 – Mathematics of Finance
6.1Simple Interest; Sequences
6.2Compound Interest; Geometric Sequences
6.3Future Value of Annuities
6.4Present Value of Annuities
6.5Loans and Amortization

Note: Are you enrolled in the correct course for your major? Some majors and some 4-year colleges require MATH 1530, 1710, 1720, or 1910 instead of MATH 1630. Are you enrolled in the correct course for your mathematical background? If you have a strong mathematics background including advanced high school mathematics, talk to your instructor about enrolling in MATH 1710, 1720, 1830, or 1910

INSTRUCTIONAL AND EVALUATION METHOD:

FINAL EXAM:
The final examination for this class will be: