# Mathematics

## MATH 135

## Finite Mathematics

### Course Description

Matrices and their applications to linear equations and linear programming, the simplex method, elementary probability and mathematics of finance are the topics included in this course.

### Prerequisites

(A requirement that must be completed before taking this course.)

- MATH 128 or equivalent with grade of 2.0 or better.
- Note: MATH 135 is oriented to business and social science majors.

### Course Competencies

Upon successful completion of the course, the student should be able to:

- Graph a system of one or more linear equations in two variables in the Cartesian plane.
- Determine the solution set of a linear system of several equations and variables by using the Gaussian elimination method.
- Compute matrix operations by hand and on a calculator, including addition, subtraction, multiplication and multiplicative inverse.
- Determine the solution of a consistent, independent linear system of several equations and variables by using the inverse of the coefficient matrix.
- Apply linear equations and matrices to a variety of practical word problems.
- Determine the optimal solution(s) of a linear programming problem in two independent variables by using the graphical method.
- Determine an optimal solution of a linear programming problem in several independent variables by using the simplex tableau method, including duality.
- Analyze the marginal behavior of a linear programming problem at its optimal solution.
- Apply linear programming methods to a variety of practical word problems.
- Compute the number of outcomes for a given event by using a tree diagram.
- Compute the number of elements in a given set by using a Venn diagram and such concepts as union and intersection.
- Compute the number of outcomes for a given event by using the addition and multiplication principles, complement rule, factorials, permutations, combinations and multinomials.
- Compute the power of any binomial by using Newton's method.
- Determine the probability of an event by counting the number of possible outcomes and using the classical definition of probability.
- Determine the probability of an event based on known probabilities by using the addition and multiplication principles and the complement rule.
- Determine the conditional probability of an event given another event by using the defining formula for conditional probability.
- Determine the conditional probability of an event given another event by using Bayes' Theorem.
- Determine whether two events are independent based on their probabilities.
- Translate between the present and future value of a lump sum in an account earning simple or compound interest.
- Translate between the deposit amount and future value for a deposit annuity.
- Translate between the withdrawal amount and present value for a withdrawal annuity.
- Compute the payment amount or the outstanding debt for a first-time mortgage or a refinancing.
- Compute the finance charges for a loan using the add-on method.
- Compute the APR for a loan with discount points.

### Course Schedule

Currently no sections of this class are being offered.