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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 Gauss-Jordan 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 steady-state 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
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 (2003-2004)
**Year two is all even years (2004-2005)