MAT 003 Pre-calculus
This course is intended solely for those students who wish to take calculus, but whose high school background is inadequate to do so immediately. Topics covered include review of algebra (solving equations and inequalities, simplification of algebraic expressions) and properties of elementary functions (polynomials, rational, exponential, logarithmic and trigonometric functions) with special emphasis on graphing these functions. For students who desire a distribution credit in mathematics but do not wish to take calculus, Mathematics 107, 109, and 119 are recommended. Mathematics 003 can not be used for distribution.
Admission to Mathematics 003 is by permission of the department chair only.
Credits: 1
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MAT 106 Topics in Contemporary Mathematics
A reflective examination of basic mathematical ideas. Through
participation and discovery, students will consider an articulation of
mathematics that focuses on patterns, abstraction, and inquiry. Topics
will vary, but could include logic, Euclidean geometry, algorithms, etc.
This course does not count towards the major or minor in mathematics.
No prerequisite.
Credits: 1
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MAT 107 Statistics: Concepts and Controversies
Introductory -- The course introduces statistics as a liberal arts
discipline. It focuses on statistical ideas and their relevance to public
policy and to the sciences, from medicine to sociology. The emphasis is on
statistical reasoning, rather than statistical theory. The course covers
reliable data generation, data summarization, and the classical approach
to drawing conclusions from data (statistical inference). This course does
not count towards the major or minor in mathematics. Students who have
taken calculus are encouraged to take Mathematics 217 or Mathematics 227
instead of Mathematics 107.
Credits: 1
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MAT 108 Introduction to Discrete Structures
Introductory -- An introduction to discrete mathematics for students not
planning to major in mathematics. Topics include sets and logic, proof
methods, counting arguments, recurrence relations, graphs, and trees. This
course may be used to meet the mathematics requirement for the computer
science minor. However, it does not count toward the mathematics major or
minor. Students may not present both mathematics 108 and 219 for credit
toward graduation. This course is offered in the fall semester.
Prerequisite: Good background in high school mathematics.
Credits: 1
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MAT 111 Calculus I
Introductory -- Basic calculus of one variable from an intuitive point of
view. Topics include limits, continuity, derivatives and integrals of the
elementary functions, Fundamental Theorem of Calculus, and applications.
The focus is on understanding basic concepts and gaining basic
computational skills.
Prerequisite: Departmental placement examination.
Credits: 1
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MAT 112 Calculus II
Introductory -- A continuation of Mathematics 111. Numerical and symbolic
techniques of integration, applications of integration, an introduction to
partial derivatives and multiple integrals, sequences and series, and
Taylor's Theorem.
Prerequisite: Mathematics 111, departmental placement examination, AP
examination, or permission of the department.
Credits: 1
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MAT 217 Introduction to Statistics
Intermediate -- A first course in statistics that covers techniques for
summarizing data probability, random variables, confidence intervals, and
the classical approach to the testing of hypotheses, including z-tests on
means and proportions for one and two groups, t-tests on means for one and
two groups, F-tests on means for several groups, chi square
goodness-of-fit tests, and some other nonparametric tests. A mathematical
treatment is given for all the distributions involved in these standard
tests. This course counts towards the mathematics minor and is
particularly appropriate for students majoring in the natural or social
sciences. It does not count towards the mathematics major. Mathematics
majors interested in statistics should take Mathematics 227, possibly
followed by Mathematics 228. This course is offered in the spring semester.
Prerequisite: Mathematics 111 or equivalent.
Credits: 1
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MAT 219 Combinatorics
Intermediate -- This course is an introduction to combinatorial reasoning.
Topics include graphs, circuits in graphs, graph coloring, trees, counting
principles, generating functions, and recurrence relations. This course is
offered in the spring semester, 2006–2007 and alternate years.
Prerequisite; Mathematics 223 or consent of instructor. Students may not
present both Mathematics 108 and Mathematics 219 for credit towads
graduation.
Credits: 1
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MAT 221 Foundations of Geometry
Intermediate -- A development of Euclidean and non-Euclidean geometries
from a modern viewpoint. This course is offered in the spring semester,
alternate years.
Prerequisite: Mathematics 112 or permission of the instructor.
Credits: 1
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MAT 222 Theory of Numbers
Intermediate -- A study of elementary number theory. Topics include
divisibility, congruences, properties of prime numbers, number theoretic
functions, diophantine equations, and additional selected topics. This
course is offered in the fall semester.
Prerequisite: Mathematics 112 or consent of the instructor. Intermediate.
Credits: 1
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MAT 223 Elementary Linear Algebra
Intermediate -- An introduction to linear mathematics. Linear systems of
equations, matrices, determinants, vector spaces, bases and dimension,
function spaces, linear transformations, eigenvalues and eigenvectors,
inner products, and applications. An important aspect of the course is to
introduce the student to abstract thinking and proofs.
Prerequisite: Mathematics 112, departmental placement examination, AP
examination, or permission of the department.
Credits: 1
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MAT 224 Elementary Differential Equations
Intermediate -- Introduction to ordinary differential equations. Special
solution techniques and some theory for first-order and linear equations
including integrating factors, constant coefficients, undetermined
coefficients, variation of parameters, power series solutions, Laplace
transforms, and systems of differential equations, applications. This
course is offered in the spring semester.
Prerequisite: Mathematics 112 and 223.
Credits: 1
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MAT 225 Multivariable Calculus
Intermediate -- Calculus in higher dimensions. Limits, continuity,
differentiability, directional derivatives, constrained and unconstrained
optimization, geometry of curves, multiple integrals, general coordinate
systems, path and surface integrals, vector calculus, theorems of Green
and Stokes, applications. This course is offered in the fall semester.
Prerequisite: Mathematics 112 and 223.
Credits: 1
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MAT 226 Operations Research
Intermediate -- Linear and nonlinear optimization, linear programming,
integer programming, duality, combinatorics, the simplex method and
related algorithms, game theory, Markov chains, queuing theory. This
course is offered in the spring semester, 2005-2006 and alternate years.
Prerequisite: Mathematics 223 or consent of the instructor.
Credits: 1
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MAT 227 Probability and Statistics
Intermediate -- General theory and application of probability and
statistics, including probability for finite sample spaces, discrete and
continuous distributions, marginal and conditional distributions,
mathematical expectation, variance, moment-generating functions, functions
of random variables, the Central Limit Theorem, sampling distributions,
the methods of estimation and their application, hypothesis testing,
regression and correlation. This course is offered in the fall semester.
Prerequisite: Mathematics 112 (227 is a prerequisite for 228).
Credits: 1
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MAT 228 Probability and Statistics
Intermediate -- General theory and application of probability and
statistics, including probability for finite sample spaces, discrete and
continuous distributions, marginal and conditional distributions,
mathematical expectation, variance, moment-generating functions, functions
of random variables, the Central Limit Theorem, sampling distributions,
the methods of estimation and their application, hypothesis testing,
regression and correlation. This course is offered in the spring semester.
Prerequisite: Mathematics 112 (227 is a prerequisite for 228).
Credits: 1
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MAT 314 Modeling with Differential Equations
Advanced -- A course to develop the basic skills of formulation,
simplification, and analysis of mathematical models for describing and
predicting phenomena in the natural and social sciences, with special
emphasis in modeling with differential equations. Topics may be taken from
fields such as physics, chemistry, biology, psychology, economics, and
political science. This course is offered in the fal semester, 2006-2007
and alternate years.
Prerequisite: Mathematics 224.
Credits: 1
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MAT 323 Topics in Linear Algebra
An in-depth study of some of the topics covered in Mathematics 223, including the theory of vector spaces, linear transformations, and Euclidean spaces, together with some additional topics, may include which isomorphisms, duality, canonical forms, and applications of linear algebra.
Prerequisite: Mathematics 223 or consent of the instructor.
Credits: 1
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MAT 324 Topics in Differential Equations
Advanced -- A second course in differential equations, offering study of
special topics in more depth or beyond those covered in Mathematics 224.
Topics may include existence and uniqueness theory, stability theory,
Green's functions, dynamical systems, partial differential equations, and
applications of differential equations. This course is offered in the fall
semester, 2005-2006 or consent of the instructor.
Prerequisite: Mathematics 224 or consent of the instructor.
Credits: 1
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MAT 331 Abstract Algebra
Advanced -- A first course in higher abstract mathematics. Emphasis is
placed on writing proofs. Topics in Mathematics 331 include groups
(motivated by permutation groups), rings, fields (motivated by number
theory), and homomorphisms, and applications. Topics in Mathematics 332
include the above and ideals, integral domains, order, algebraic
properties of integers, polynomials over algebraic structures, vector
spaces and modules. This course is offered in the spring semester,
2004-2005 and alternate years.
Prerequisite: Mathematics 223 or consent of the instructor (331 is a
prerequisite for 332).
Credits: 1
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MAT 332 Abstract Algebra
Advanced -- A first course in higher abstract mathematics. Emphasis is
placed on writing proofs. Topics in Mathematics 331 include groups
(motivated by permutation groups), rings, fields (motivated by number
theory), and homomorphisms, and applications. Topics in Mathematics 332
include the above and ideals, integral domains, order, algebraic
properties of integers, polynomials over algebraic structures, vector
spaces and modules. This course is offered in the fall semester, 2004-2005
and alternate years.
Prerequisite: Mathematics 223 or consent of the instructor (331 is a
prerequisite for 332).
Credits: 1
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MAT 333 Introduction to Functions of a Real Variable
Advanced -- A first course in the foundations of modern analysis. Topics
include set theory, the real numbers, the topology of Cartesian spaces,
convergence, continuous functions, sequences of continuous functions, the
Stone-Weierstrass approximation theorem, differentiation, integration, and
infinite series. This course is offered in the fall semester, 2004.-2005
and alternate years.
(333 is a prerequisite for 334).
Credits: 1
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MAT 334 Introduction to Functions of a Real Variable
Advanced -- A first course in the foundations of modern analysis. Topics
include set theory, the real numbers, the topology of Cartesian spaces,
convergence, continuous functions, sequences of continuous functions, the
Stone-Weierstrass approximation theorem, differentiation, integration, and
infinite series. This course is offered in the spring semester, 2004-2005
and alternate years.
(333 is a prerequisite for 334).
Credits: 1
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MAT 337 Introduction to Numerical Analysis
Advanced -- [Same as CSC 337] This course will address topics such as
solution of non-linear equations in one variable, interpolation,
approximation, differentiation, integration, difference equations,
differential equations and their applications, boundary value problems,
linear systems, matrices, and optimization. This course is offered in the
fall semester, 2004-2005 and alternate years.
Prerequisite: Consent of instructor.
Credits: 1
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MAT 338 Topics in Computational Mathematics
(CSC 338)
Advanced -- A course to develop mathematical and computational techniques in areas of mathematics or interdisciplinary study in which computation plays a central and essential role. Topics vary by semester but may include computational geometry, computer algebra, scientific computing, and symbolic computation. This course is offered in the fall semester, 2005-2006 and alternate years.
Prerequisite: Computer Science 111.
Credits: 1
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MAT 341 Topology
Advanced -- A study of elementary topology. Topics discussed will include
topologies, separation axioms, connectedness, compactness, continuity, and
metric spaces. This course is offered in the fall semester, 2005-2006 and
alternate years.
Prerequisite: Mathematics 223 or consent of the instructor.
Credits: 1
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MAT 344 Complex Analysis
Advanced -- Analytic functions, mapping of elementary functions,
integrals, residue theory, conformal mapping. This course is offered in
the spring semester, 2004-2005 and alternate years.
Prerequisite: Mathematics 223 or consent of the instructor.
Credits: 1
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MAT 377 Special Topics in Mathematics
This course is designed for the treatment of material outside the regular
offerings of the department. For a given semester the course content and
other particulars will be announced before advance registration for that
semester. Offered irregularly. Level varies, will be announced with course
description the semester it is offered.
Credits: 1/2
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MAT 387 Independent Study
Directed reading and research on special topics for qualified students.
May be repeated for credit. Level varies (intermediate or advanced),
determined in consultation with instructor.
Prerequisite: Permission of the department. Credit will be based upon
results as judged by the department chair.
Credits: 1/2
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MAT 388 Independent Study
Directed reading and research on special topics for qualified students.
May be repeated for credit. Level varies (intermediate or advanced),
determined in consultation with instructor.
Prerequisite: Permission of the department. Credit will be based upon
results as judged by the department chair.
Credits: 1/2
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MAT 400 Seminar
Advanced -- Topics in the history and foundations of mathematics, the
special emphasis varying from year to year. Every student will be expected
to write a term paper. Usually taken by mathematics majors in the spring
semester of the senior year. This course is offered inthe spring semester.
Admission in other cases is by permission of the department chair.
Credits: 1/2
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