
Master
Course Outline
Finite Mathematics

Course
Number: MATH 115 
Credits: 5 
Hours per Quarter: 50
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
Skills and Attitude Outcomes 
A. Graph ordered pairs of numbers in the Cartesian coordinate plane.
B. Find the distance between any two points by using the distance formula.
C. Find the slope of a line.
D. Find the equation of a line given various conditions.
E. Graph linear equations.
F. Determine if lines are parallel, perpendicular, or neither.
G. Solve problems involving linear functions.
H. Solve 2 by 2 linear systems graphically, by substitution, and by elimination.
I. Use the GaussJordan method and inverses of matrices to solve n by n systems of linear equations; i.e. 3 by 3 systems and higher.
J. Perform various operations on matrices: addition, subtraction, scalar multiplication, multiplication, transpose, and inverse.
K. Graph systems of linear inequalities in two variables.
L. Solve linear programming problems using both the geometric and simplex methods.
M. Solve financial problems involving simple and compound interest, effective interest rates, present and future value of an annuity, amortization, and sinking fund payments.
N. Understand set terminology and notation.
O. Understand set operations: union, intersection, complementation; and commutative, associative, distributive and De Morgan's Law.
P. Use Venn diagrams.
Q. Determine the number of elements in a finite set.
R. Use the fundamental principle of counting or multiplication principle.
S. Distinguish between combinations and permutations and be able to calculate each.
T. Find the sample space of an experiment.
U. Find the probability of an compound events.
W. Use the counting techniques in calculating probability of events.
X. Given the odds for or against an event, find the probability of the event occuring and the probability of it not ocurring and vice versa.
Y. Solve probability problems involving conditional probability, independent events, and Bayes' Theorem.
Z. Find the probability distribution for a given random variable.
AA. Calculate the expected value, variance, and standard deviation of a given random variable.
BB. Solve problems involving the Binomial and Normal Distributions.
CC. Write transition matrices for Markov processes.
DD. Determine whether a Markov chain is regular and to determine its steadystate distribution vector.
EE. Determine the optimal strategy in games which are strictly determined and optimal strategies in games which are not strictly determined.

Syllabi
Listing
Course 
Year
Quarter 
Item 
Instructor 

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 

MATH 115 
Fall 2013 
6555 
Michael Shively 

MATH 115 
Spring 2013 
6560 
Michael Shively 

MATH 115 
Winter 2013 
0448 
Shana Smith 

MATH 115 
Fall 2012 
6555 
Michael Shively 

MATH 115 
Spring 2012 
6560 
Barbara Blasey 

MATH 115 
Fall 2011 
6555 
Barbara Blasey 

MATH 115 
Spring 2011 
6560 
Barbara Blasey 

MATH 115 
Fall 2010 
6555 
Barbara Blasey 

MATH 115 
Spring 2010 
6560 
Barbara Blasey 

MATH 115 
Winter 2010 
1480 
Steve Schwartz 

MATH 115 
Fall 2009 
6555 
Barbara Blasey 

MATH 115 
Spring 2009 
6560 
Barbara Blasey 

MATH 115 
Winter 2009 
1480 
Julianne Sachs 

MATH 115 
Fall 2008 
6555 
Barbara Blasey 

MATH 115 
Winter 2008 
1480 
Steve Schwartz 

MATH 115 
Fall 2007 
6555 
Barbara Blasey 

MATH 115 
Winter 2007 
1480 
Steve Schwartz 

MATH 115 
Fall 2006 
6555 
Barbara Blasey 

MATH 115 
Winter 2006 
6560 
Barbara Blasey 

MATH 115 
Winter 2006 
1480 
Steve Schwartz 

MATH 115 
Fall 2005 
6555 
Barbara Blasey 

MATH 115 
Spring 2005 
6560 
Barbara Blasey 

MATH 115 
Winter 2005 
6560 
Barbara Blasey 

MATH 115 
Winter 2005 
1480 
Steve Schwartz 

MATH 115 
Spring 2004 
6560 
Barbara Blasey 

MATH 115 
Winter 2004 
6560 
Barbara Blasey 

MATH 115 
Winter 2004 
1480 
Steve Schwartz 


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

X





X





*Year one is all odd years
(20032004)
**Year two is all even years (20042005)

