
Master
Course Outline
MATH 115
Finite Mathematics

Credits: 5 
Clock Hours per Quarter: 50
AA Discipline: [Quantitative] [Natural Sciences]
Lecture Hours:50

Description
Study of mathematical systems encountered in the work of behavioral, managerial, and social science students. Topics include systems of linear equations and inequalities, matrices, linear programming, introductory probability, mathematics of finance, and elementary Markov chains. Prerequisite: Grade of C or higher in MATH 078E or permission of the Mathematics Department. 
Intended Learning Outcomes
Graph ordered pairs of numbers in the Cartesian coordiante plane.
Find the slope of a line.
Find the equation of a line given various conditions.
Graph linear equations.
Determine if lines are parallel, perpendicular, or neither.
Solve applied problems involving linear functions.
Solve 2 by 2 linear systems graphically, by substitution, and by elimination.
Use the GaussJordan method and inverses of matrices to solve n by n systems of linear equations; i.e.d, 3 by 3 systems and higher.
Perform various operations on matrices: addition, subtraction, scalar multiplication, multiplication, transpose and inverse.
Solve applied problems involving 2 by 2 and 3 by 3 systems of equations.
Graph systems of linear inequalities in two variables.
Solve linear programming problems using both the geometric and simplex methods.
Solve financial problems involving simple and compound interest, effective interest rates, present and future value of an annuity, amortization, and sinking fund payments.
Understand set terminology and notation.
Understand set operations: union, intersection, complementation; and commutative, associative, distributive, and De Morgan's Laws.
Use Venn diagrams.
Determine the number of elements in a finite set.
Use the fundamental principle of counting or multiplication principle.
Distinguish between combinations and permutations and be able to calculate each.
Find the sample space of an experiment.
Find the probability of an event.
Use the rules of probability to calculate the probability of compound events.
Use counting techniques in calculating probability of events.
Solve probability problems involving conditional probability, independent events, and Bayes' Theorem.
Write transition matrices for Markov processes.
Determine whether a Markov chain is regular and to determine its steadystate distribution vector.
Determine the optimal strategy in games which are strictly determined and optimal strategies in games which are not strickly determined.
Will effectively communicate mathematical ideas in both everday and mathematical language.

Course Topics
Straight Lines and Linear Functions
Systems of Linear Equations and Matrices
Linear Programming
Mathematic of Finance
Sets and Counting
Introduction to Probability
Markov Chains
Probability Distributions
Introduction to Statistics
Theory of Games



Syllabi
Listing
See ALL Quarters
Course 
Year
Quarter

Item

Instructor 

MATH 115 
Spring 2016 
7197 
Megan Schoessler 

MATH 115 
Fall 2015 
6555 
Michael Shively 

MATH 115 
Winter 2015 
0889 
Shana Smith 

MATH 115 
Fall 2014 
6555 
Michael Shively 

MATH 115 
Winter 2014 
0889 
Shana Smith 


Two Year Projected Schedule
Year
One* 
Year
Two** 
Fall 
Winter 
Spring 
Summer 
Mini 
Fall 
Winter 
Spring 
Summer 
Mini 

X





X





*If fall quarter starts on an odd year (2003, 2005, etc.), it's Year One.
**If fall quarter starts on an even year (2002, 2004, etc.), it's Year Two.

