Course Descriptions
 110 Finite Mathematics (formerly MTH16)
GER: MR (Mathematics & Formal Reasoning)
Topics include: set theory, combinatorics, probability, statistics,
matrix algebra, linear programming, Markov chains, graph theory, and
mathematics of finance. A student cannot receive credit for this course
after credit has been received for MTH260 (28) or any mathematics course
numbered 301 or greater. Satisfies the prefall 2008 general education
requirement in mathematics for the bachelor of arts degree only. 4 credits.

 140 Integrated Precalculus/Calculus I (formerly MTH10)
Introduction to the theory and methods of differential calculus. Topics
include functions, graphs, limits, continuity and derivatives. Enrollment
by department established criteria only. May not be enrolled on a passfail
basis. 4 credits.

 141 Integrated Precalculus/Calculus II (formerly MTH11S)
GER: MR (Mathematics & Formal Reasoning)
Prerequisite: MTH140
Introduction to applications of the derivative and the theory and applications
of the definite integral. Topics include: trigonometric functions and
their derivatives, applications of derivatives, antiderivatives, the
definite integral and applications of the integral. Satisfies the prefall
2008 general education requirement in mathematics. 4 credits.

 150 Analytic Geometry and Calculus I (formerly MTH11)
GER: MR (Mathematics & Formal Reasoning)
Prerequisite: criteria established by department
First course in the standard calculus sequence. Introduction to the
theory, methods, and applications of differential calculus and an introduction
to the definite integral. Topics include: algebraic and trigonometric
functions, limits and continuity, rules for differentiation, applications
of the derivative, antiderivatives, and the definition and basic properties
of the definite integral. Satisfies the prefall 2008 general education
requirement in mathematics. 4 credits.

 151 Analytic Geometry and Calculus II (formerly MTH12)
Prerequisite: MTH141 or 150
The second course in the standard calculus sequence. An introduction
to the logarithmic and exponential functions, the applications of the
definite integral, techniques of integration, indeterminate forms, improper
integrals, numerical methods, and infinite series. 4 credits.

 160 Vectors and Matrices (formerly MTH13)
Prerequisite: MTH151
Introduction to the theory of vectors and matrices. Among the topics
included are: vectors, vector operations, the geometry of Euclidean
space, systems of equations, matrices, matrix operations, special transformations,
eigenvalues, and applications of matrix theory. 4 credits.
235 Operations Research
Prerequisite: MTH160
Application of mathematical modeling and analytical methods to make better
decisions. Topics include modeling, algorithm design, discrete linear
function optimization with linear constraints, convexity, duality, sensitivity
analysis, and optimality criteria. 4 credits.
 241 Introduction to Statistics (formerly MTH30)
Prerequisite: MTH110, 141 or 150
Noncalculus based course in elementary probability and statistics.
Counting problems, probability, various distributions, random variables,
estimation, hypothesis testing, regression and correlation, analysis
of variance, and nonparametric methods. A student cannot receive credit
for this course and ECN225 (25) or MTH341 (47). 4 credits.

 250 Vector Calculus (formerly MTH21)
Prerequisite: MTH160
Introduction to multivariate and vector calculus. Topics include vector
functions and the differential and integral calculus of functions of
several variables including Green’s Theorem and Stokes’
Theorem. 4 credits.

 255 Differential Equations (formerly MTH22)
Prerequisite: MTH160
Introduction to the theory, methods, and applications of ordinary differential
equations, including first and higherorder differential equations,
series solutions, systems, approximate methods, Laplace transforms,
and phase plane analysis. 4 credits.

 260 Introduction to Discrete Mathematics (formerly MTH28)
Prerequisite: MTH151
Introduction to the main ideas and proof techniques of discrete mathematics.
Among the topics covered are mathematical logic, relations, functions,
partitions, recursion, induction, combinatorial principles, inclusion/exclusion,
enumeration, and introductory graph theory (trees, connectivity, planarity,
colorings, etc.). 4 credits.

 301 Mathematics for Elementary School Teachers I (formerly
MTH32)
Problem solving and mathematical reasoning; sets and set operations;
functions; numeration systems; the systems of whole numbers, integers,
and rational numbers; algorithms; mental computation; elementary number
theory; teaching strategies, materials, and technologies for these topics
in grades pre K6. 4 credits.

 302 Mathematics for Elementary School Teachers II (formerly
MTH33)
Prerequisite: MTH301
Decimals and percents; elementary probability; descriptive statistics;
geometry of shapes in two and three dimensions; congruence and similarity;
measurement; geometric transformations; teaching strategies, materials,
and technologies for these topics in grades pre K6 and fieldbased experiences
in area schools. 4 credits.

 320 Number Theory (formerly MTH35)
Prerequisite: MTH260
Introduction to the arithmetic properties of the integers including
divisibility, congruences, diophantine equations, primes and their distribution,
quadratic forms and quadratic reciprocity. Additional topics will be
chosen from continued fractions, cryptography, partitions, elliptic
curves, modular forms and number fields. 4 credits.

 325 Modern Geometry (formerly MTH36)
Prerequisite: MTH260
Development of Euclidean and nonEuclidean geometries. Topics include
axiom systems, models, congruence theorems, parallel postulates, and
the philosophical and historical background to geometry. 4 credits.

 330 Combinatorics and Graph Theory (formerly MTH38)
Prerequisite: MTH260
A study of the primary methods and fundamental ideas of combinatorics
and graph theory. Topics covered include generating functions, set partitions,
recurrence relations, inclusionexclusion, trees, graph connectivity,
independence, and graph colorings. Additional topics will be chosen
from Ramsey theory, set systems, planarity, directed graphs, matchings,
and Hamiltonian and Eulerian graphs. 4 credits.

 335 Mathematical Models and Applications (formerly MTH40)
Prerequisite: MTH250 and 255
A selection of mathematical models using various continuous and discrete
methods and having applications in business and the social and biological
sciences. Included are ecological models, epidemic models, Richardson’s
arms race model, and population growth models. Other topics discussed
are linear programming, voting problems, and Markov chains. 4 credits.

 340 Probability (formerly MTH37)
Prerequisite: MTH250
Calculusbased course in probability, covering counting, discrete and
continuous probability, random variables, important probability distributions,
joint distributions, expectation, moment generating functions, and applications
of probability. 4 credits.

 341 Mathematical Statistics (formerly MTH47)
Prerequisite: MTH340
Calculus based course in statistics covering sampling, estimation, hypothesis
testing, chisquare tests, regression, correlation, analysis of variance,
experimental design, and nonparametric statistics. 4 credits.

 350 Complex Variables (formerly MTH39)
Prerequisite: MTH250
Study of the complex plane and the calculus of functions of a complex
variable. Topics to be considered include the algebra and geometry of
complex numbers, limits and derivatives of functions of a complex variable,
the Cauchy Riemann equations, contour integrals, Taylor and Laurent
series, and residues. 4 credits.

 360 Linear Algebra and Matrix Theory (formerly MTH34)
Prerequisite: MTH160 and 260
Study of finite dimensional real vector spaces, linear transformations,
determinants, inner product spaces, eigenvalues and eigenvectors. 4
credits.

 420 Topology (formerly MTH46)
Prerequisite: MTH260
Introduction to concepts in topology including the following: topological
spaces, metric spaces, continuity, homeomorphisms, neighborhoods, closed
sets and closure, basis and subbasis for a topology, subspaces, product
spaces, connectivity, compactness, and separation axioms. 4 credits.

 450 Real Analysis (formerly MTH41)
Prerequisite: MTH260
A theoretical introduction to some of the basic ideas of real analysis:
real numbers and the topology of the real line, sequences and series
of real numbers, limits of functions, continuity, uniform continuity,
differentiation, the Riemann integral, and sequences and series of functions.
4 credits.

 451 Topics in Analysis (formerly MTH42)
Prerequisite: MTH450
An indepth investigation of selected topics in analysis. 4 credits.

 460 Modern Algebra (formerly MTH43)
Prerequisite: MTH260
A theoretical introduction to some of the basic ideas of modern abstract
algebra. Included is a study of groups, rings, domains, polynomial rings
and fields as well as an investigation of their substructures and of
the fundamental homomorphism theorems. 4 credits.

 461 Topics in Algebra (formerly MTH44)
Prerequisite: MTH460
An indepth investigation of selected topics in abstract algebra. 4
credits.

 504 Directed Independent Study (formerly MTH80)
Study of an area of mathematics of interest to the student that is not
part of one of the listed courses. The student must choose a faculty
member to direct the study and, together with this faculty member, prepare
a description of the material to be covered and submit it to the department
chair for approval. Variable credit.
