MATH 135 - Finite Mathematics

Credits: 4
Lecture Contact Hours: 4
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: MATH 126 with a minimum grade of 2.0 or a minimum score of 23 ACT-Math, 29 SAT-Math, 103 CPT-College-Level Math or 250 NGA-Advanced Algebra and Functions.
Corequisites: None.
Recommended: None.

Course Category: Liberal Arts | Mathematics
This course counts toward Schoolcraft’s General Education Requirements.
This course counts toward a Michigan Transfer Agreement General Education Requirement.

This Course is Typically Offered: Fall, Winter
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Course Competencies

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.