MATH 1360 - Finite Mathematics

Credit Hours: 4.00

Objectives

1. Identify functions specified by equations.
2. Use function notation to represent and evaluate functions at given values.
3. Identify linear and quadratic equations and apply their use to business applications.

Outcome 2: Upon completion of this course, the student will be able to apply knowledge of exponential and logarithmic functions in the areas of business, life sciences, and social sciences.

Objectives:

1. Identify and graph exponential functions.
2. Identify and graph logarithmic functions.
3. Apply exponential and logarithmic functions to business, life sciences, economics, and social sciences.

Outcome 3: Upon completion of this course, the student will be able to use simple interest, compound interest, and ordinary annuity formulas to find present value or future value of money and find amortization and sinking fund payments.

Objectives

1. Apply the simple interest formula in finance problems.
2. Apply the compound interest formula in finance problems.
3. Apply the future value formula in problems involving annuities and sinking funds.
4. Apply the present value formula in problems involving annuities and amortization.

Outcome 4: Upon completion of this course, the student will be able to use matrix methods to solve systems of equations and linear programming problems.

Objectives:

1. Solve systems of linear equations using matrices.
2. Apply the algebra of matrices to applications.
3. Solve linear programming problems in two variables geometrically.
4. Solve linear programming problems using the Simplex Method.

Outcome 5: Upon completion of this course, the student will be able to apply the concepts of counting, probability, and probability distributions to find the probability of events in the context of business, life science, and social science.

Objectives:

1. Apply basic counting principles to problems of probability.
2. Describe sample spaces and find probability of events.
3. Describe random variables and their distributions.
4. Solve probability problems using Empirical probabilities.
5. Solve applied problems in conditional probability and determine if events are independent.

1. Elementary Functions
   1. Linear functions
      1. Form of Linear Functions
      2. Graphs of Linear Functions
      3. Applications of Functions
   2. Quadratic Functions
      1. Form of Quadratic Functions
      2. Graphs of Quadratic Functions
      3. Applications of Quadratic Functions
   3. Polynomial and Rational Functions
      1. Graphs of Polynomial and Rational Functions
      2. Applications of Polynomial and Rational Functions
   4. Logarithmic and Exponential Functions
      1. Properties of Logarithmic and Exponential Functions
      2. Applications of Logarithmic and Exponential Functions
2. Mathematics of Finance
   1. Simple Interest
   2. Compound Interest
   3. Future Value of Ordinary Annuities and Sinking Funds
   4. Present Value of Ordinary Annuities and Amortization
3. Matrices
   1. Using Matrices to Solve Systems of Linear Equations
      1. Augmented Matrices
      2. Gauss-Jordan Elimination
   2. Matrix Equations
   3. Linear Programming and the Simplex Method
4. Probability
   1. Basic Counting Principles
   2. Permutations and Combinations
   3. Probability Experiments
   4. Random Variable and Probability Distributions