GRADUATE SCHOOL
TRACK 
FRESHMAN YEAR 

SOPHOMORE YEAR 

JUNIOR YEAR 

SENIOR YEAR 
Fall 

Fall 

Fall 

Fall 
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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 129 

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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 231 

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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 2011.
Probability
MATH 361 

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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
MATH 425 
Fundamentals
of Programing I
CS/CIS 116 

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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 235 

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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
I
MATH 367 

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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 363 
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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 127 

Physics
I or
Chemistry I
PHYS 111/PHYS 113/CHEM 113 

Core
Course/Free Elective
9 credits 

Core
Course/Free Elective
9 credits 
Core
Course/Free Elective
6 credits 

Core
Course/Free Elective
6 credits 




Spring 

Spring 

Spring 

Spring 
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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
MATH 130 

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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 250 

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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 Spring 2012.
Statistics
MATH 362 

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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 420 
Fundamentals
of Programming II or Introduction to Computing
CS/CIS 117/CS 100 

Physics
II/Chemistry II
PHYS 112/PHYS 114/CHEM 114 

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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. Alternate years: Offered Spring 2012.
Topology
MATH 418 

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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 ODEís and PDEís if time
permits.
Prerequisite: MATH 231 and MATH 250 and one of CS 115 and CIS 116.
Alternate years: Offered Spring 2011.
Numerical
Analysis
MATH 365 
Core
Course/Free Elective
9 credits 

Core
Course/Free Elective
9 credits 

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MATH 490Junior Seminar (1 credit). Students rework and refi ne the
small axiom system that they designed in MATH 127 (Logic and
Axiomatics). The axiom system is then presented to the students and
faculty of the Mathematics department during the presentation phase of
the seminar. Students are also strongly encouraged to present their
systems at local Mathematical Association of America meetings and in
other such forums. Prerequisite: MATH 127. Offered Spring semesters.
Junior
Seminar
MATH 490 

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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 2011.
Financial
Mathematics*
MATH 301 




Core
Course/Free Elective
9 credits 

Core
Course/Free Elective
9 credits 