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Catalog Description: |
Functions and graphs, mathematics of finance,
matrices, simultaneous systems, linear programming, introduction to business calculus. Meets General Education Mathematical Sciences requirement. (Offered each semester.)
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| Prerequisites: |
- Algebraic skills needed to solve inequalities and equations involving polynomial expressions.
- An understanding of the use of variables.
- Knowledge of basic properties of the real number system.
- The ability to use the Cartesian plane to plot and draw graphs.
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Required Course Materials: |
Ronald J. Harshbarger and James J. Reynolds, Mathematical Applications for Management, Life, and Social Sciences, 10th edition, Cengage (ISBN: 9781133106234)
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Course Coordinator: |
Samuel P. Wilcock, Ph.D., Associate Professor of Mathematics and Statistics
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Course Audience: |
Students pursuing a degree in some area of management and business or others who desire a better understanding of some of the quantitative aspects of business.
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Course Objectives: |
A student who successfully completes this course should be able:
- To develop a connection between the power of mathematics and the solutions of business oriented problems.
- To demonstrate skill in using matrices as a tool in problem solving.
- To communicate mathematical concepts through written laboratory assignments and classroom discussions.
- To not only see business applications of mathematics, but also to develop a clearer understanding of some of the structures of mathematics such as the real number system, functions, and matrices.
- To select and use technology when appropriate in problem solving.
The following are the objectives of the course as a General Education course fulfilling the mathematical science requirement:
- To identify methods and assumptions of the mathematical sciences.
- To introduce students to at least one of the three mathematical sciences of computing, mathematics and statistics from a liberal arts perspective.
- To help students think logically, analytically, and abstractly through engagement in quantitative problem solving activities.
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Topics: |
- Lines: a) graphing and b) solving linear equations.
- Functions: a) domain and range, b) function composition,
c) graphing, and d) use of functions in modeling business
concepts.
- Interest: a) simple, b) compound, and c) effective rate
of a loan.
- Annuities: a) present and future value, b) ordinary and
annuities due, c) sinking funds, and d) amortization of a
loan.
- Matrices: a) matrix multiplication and addition, b)
matrix inverses, and c) representation of a system of
equations.
- Linear programming: a) geometric approach and b) simplex
method.
- Solutions of systems of linear equations: a)
Gauss-Jordan method, b) elimination of variables, and c)
use of the computer.
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