STATISTICS
MINOR
6
Courses 
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Name 
MATH 129 
Calculus I 
MATH
130 
Calculus
II 
MATH
231 
Calculus
III 
MATH
361 
Probability 


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one 

MATH
124 
Probability
& Statistics for
Education 
MATH
126 
Introduction
to Statistics 
MATH
128 
Introduction
to Statistics, Data Analysis, and Applications to Life Science 
MATH 362 
Statistics



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one additionally 

MATH
124 
Probability
& Statistics for
Education 
MATH
125 
Calculus 
MATH
126 
Introduction
to Statistics 
MATH
127 
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MATH
127Logic and Axiomatics (3
credits). Topics include logic; inductive and deductive reasoning;
direct and indirect proofs; proof by counterexample: set theory: axiom
systems; consistency and independence of axiom systems; axiom system
design. Prerequisite: CORE 098 Mathematical skills. Offered Fall
semesters.
Logic
&
Axiomatics 
MATH
128 
Introduction
to Statistics 
MATH
129 
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MATH
129Analytic Geometry and
Calculus I (4 credits). The first calculus course in a threecourse
sequence. Intended primarily for chemistry, computer science, or
mathematics majors. Topics include equations; inequalities; analytic
geometry; trigonometric functions; an introduction to exponential and
logarithmic functions; limits; continuity; derivatives; differentials;
maxima and minima problems; graphing techniques; the defi nite
integral. Prerequisite: CORE 098 Mathematical skills. Offered Fall
semesters.
Calculus
I 
MATH
130 
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MATH
130Analytic Geometry and
Calculus II (4 credits). Topics include exponential and logarithmic
functions; applications of the defi nite integral; techniques of
integration; improper integrals; indeterminate forms; sequences;
series. Prerequisite: MATH 129 or the approval of the department
chairperson. Offered Spring semesters.
Calculus
II 
MATH231 
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MATH
231Analytic Geometry and
Calculus III (4 credits). Topics include polar coordinates; parametric
equations; conics; solid analytic geometry; vectors; partial
differentiation; multiple integration; vector fi elds; line integrals;
and Green's Theorem. Prerequisite: MATH 130 or the approval of the
department chairperson. Offered Fall semesters.
Calculus
III 
MATH
235 
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MATH
235Discrete Mathematics (3
credits). A survey of some of the fundamental ideas of discrete
mathematics. Topics include set theory, relations on sets (especially
equivalence relations, partial orders, and functions), number theory,
induction and recursion, combinatorics, and graph theory. Prerequisite:
MATH 127 and MATH 130 or approval of the Department Chairperson.
Offered Fall semesters.
Discrete
Mathematics 
MATH
236 
Geometry 
MATH
237 
Mathematics
for the Physical
Sciences I 
MATH
238 
Mathematics
for the Physical
Sciences II 
MATH
250 
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MATH
250Linear Algebra (4
credits). Topics include vector spaces; linear transformations;
matrices; systems of linear equations; determinants; eigenvectors and
eigenvalues. Computers are used both computationally and graphically.
Prerequisite: MATH 127 and MATH 231 or permission of department
chairperson. Offered Spring semesters.
Linear
Algebra 
MATH
301 
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MATH
301Financial Mathematics (3
credits). The topics covered in this course will be: time value of
money, annuities with payments that are not contingent, loans, bonds,
general cash fl ows and portfolios, Immunization, general derivatives,
options, hedging and Investment strategies, forwards, futures, and
swaps. The course will be designed to prepare students to pass
actuarial exam #2. Prerequisite: MATH 130. Alternate years: Offered
Spring
Financial
Mathematics 
MATH
361 
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MATH
361Probability and Statistics
(3 credits) Topics include events; laws of probability; discrete and
continuous random variables; measures of central tendency; measures of
variability; properties of expectation; independence; multivariate
distributions; sampling distributions; central limit theorem; and large
sample statistical inference. Prerequisite: MATH 231 or approval of the
Department Chairperson. Alternate years: Offered Fall
Probability

MATH
362 
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MATH
362Statistics (3 credits).
Topics include functions of random variables; sampling theory; methods
of estimation; properties of estimators; hypothesis testing;
correlation and simple linear regression; elementary design of
experiments; analysis of variance; analysis of categorical data; and
nonparametric statistics. Prerequisite: MATH 361. Alternate years:
Offered
Statistics

MATH
363 
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MATH
363Mathematical Modeling (3
credits). Topics in game theory include: games with perfect
information; Nash equilibrium, mixed strategy equilibrium, Bayesian
games; games with imperfect information; and repeated games. Topics in
curve fi tting include: curve fi tting with polynomials; Hermite
method, Lagrange method, leastsquares method; interpolation with
piecewise polynomial functions;curve fitting with splines; and
smoothing techniques. Prerequisite: MATH 231 or approval of the
Department Chairperson. Alternate years.
Mathematical
Modeling 
MATH
365 
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MATH
365Numerical Analysis (3
credits). Topics include numerical integration and differentiation;
direct and iterative methods for linear systems; numerical solution of
linear and nonlinear algebraic equations and eigenvalue problems;
numerical solutions for ODE's and PDEís if time permits.
Prerequisite: MATH 231 and MATH 250 and one of CS 115 and CIS 116.
Alternate years: Offered
Numerical
Analysis 
MATH
367 
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MATH
367Real Analysis I (3
credits). The first of a twosemester sequence in real analysis.
Emphasis is on theory and rigor. Topics include limits; continuity;
uniform continuity; the intermediate value theorem; mean value
theorems; the HeineBorel theorem; the BolzanoWeierstrass theorem;
nested intervals; the Cauchy criterion; derivatives; differentials; and
the riemann integral. Prerequisite: MATH 231 and MATH 250 or approval
of the department chairperson. Offered Fall semesters.
Real
Analysis 
MATH
418 
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MATH
418Topology (3 credits).
Elementary definitions, examples, counterexamples, and theorems of
point set topology. Emphasis on students presenting proofs in class.
Topics include topologies and topological spaces; functions; mappings;
homeomorphisms; connected spaces; compact spaces; separation axioms;
metric spaces; quotient spaces; product spaces. Prerequisite: MATH 367.
4 hours per week.
Topology

MATH
420 
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>MATH
420Complex Variables (3
credits). Topics include complex numbers; geometry of the complex
plane; functions and mappings; the Cauchyriemann equations; harmonic
functions; the line integral; the Cauchy integral formula; Laurent
series; theory of residues; conformal mapping. Prerequisite: MATH 367.
Alternate years: Offered Spring 2011.
Complex
Variables 
MATH
425 
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MATH
425Abstract Algebra (3
credits). Emphasis on students formulating and testing their own
conjectures. Topics include groups; cyclic groups; subgroups; direct
products; cosets; normal subgroups; quotient groups; homomorphisms;
rings; subrings; ideals; ring homomorphisms; fields. Approval of the
Department Chairperson is required. Offered Fall semesters..
Abstract
Algebra 