# MAT 105 Finite Mathematics

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### Course Description

Satisfies Quantitative Reasoning Requirement in General Education Program. Mathematics of finance, combinatorics, probability, statistical measures of central tendency and dispersion, problem solving and mathematical reasoning, and additional topics selected by instructor e.g. linear programming, statistics, graph theory, game theory.

MAT 105 meets for three hours of lecture per week.

### Prerequisites

Students must have satisfied the ELM requirement before enrolling in MAT 105.

### Objectives

Upon completing MAT 105 the student should be able to:

• understand and compute simple and compound interest and exponential growth and decay, and apply these ideas to problems in finance, economics, and life sciences
• understand and apply the notions of present value and amortization and apply these ideas to problems in finance and economics
• understand basic concepts in set theory and combinatorics, and apply these concepts to practical problems
• understand and apply basic concepts of probability, including conditional probabilities, and their relationship to independence, and apply these concepts to practical problems
• understand statistical measures of central tendency and dispersion and their implications
• successfully engage in systematic reasoning and mathematical problem-solving
• demonstrate understanding of additional topics selected by the instructor, such as
• apply methods of linear programming to solve optimization problems
• apply basic statistical inference to understand data and solve problems
• apply the methods of game theory to analyze situations of strategy and conflict
• apply the methods of graph theory to analyze networks and interconnected systems.

### Expected outcomes

Students should be able to demonstrate through written assignments, tests, and/or oral presentations, that they have achieved the objectives of MAT 105.

### Method of Evaluating Outcomes

Evaluations are based on homework, class participation, short tests and scheduled examinations covering students' understanding of linear programming, mathematics of finance, set theory and combinatorics, probability, measures of central tendency, problem solving, mathematical reasoning, and related topics that are covered in MAT 105.

### Text

Finite Mathematics, by Barnett, Ziegler, Byleen. Prentice Hall, 2005

• 1. A Beginning Library of Elementary Functions.
• 3. Mathematics of Finance.
• 4. Systems of Linear Equations: Matrices.
• 5. Linear Inequalities and Linear Programming.
• 6. Logic, Sets and Counting.
• 7. Probability.
• 8. Data Description and Probability Distributions.
• 9. Games and Decisions.
• 10. Markov Chains.
• Appendices.

Students' grades are based on homework, class participation, short tests, and scheduled examinations covering students' understanding of the topics covered in MAT 105. The instructor determines the relative weights of these factors.

### Attendance Requirements

Attendance policy is set by the instructor.

### Policy on Due Dates and Make-Up Work

Due dates and policy regarding make-up work are determined by the instructor.

### Schedule of Examinations

The instructor sets all test dates except the date of the final exam. The final exam is given at the date and time announced in the Schedule of Classes.