MAT 111 Mathematics for
Liberal Arts - 4cr/16wks
Mathematics from historical, philosophical, conceptual,
and computational points of view, and as a means for understanding the
world. Topics include history and philosophy of mathematics, number systems,
estimation and scientific notation, logic, mathematical modeling, infinity,
space, time, Theory of Relativity, mathematics and music, probability,
games of chance, statistics, polls.
No prerequisites.
MAT 112 Mathematics of
Form and Design - 4cr/8wks
This introductory course approaches mathematical
ideas from visual and conceptual points of view with numerous construction
projects assigned. Specific topics include Golden Mean,
Fibonacci numbers, mosaics, symmetry, polyhedra, geodesic domes, geometric
constructions,
sacred geometry, concepts of space and time, 3D and 4D geometry, perspective
in art, fractals,
randomness, forms in nature.
No prerequisites.
(View course syllabus.)
MAT 141 Statistics - 4cr/16wks
The role, use, and meaning of statistics in the
natural and social sciences and business are
introduced. Much emphasis is placed on exploratory data analysis. Topics
include:
experimental design, data collection and analysis, random sampling,
probability distributions,
summary statistics, and statistical inference. The use of statistical
calculators and computer
software packages is encouraged.
Prerequisite: Two years of high school algebra or
departmental permission.
(View course syllabus.)
MAT 150 Pre-Calculus Mathematics
- 4cr/16wks
Functions and their graphs. Topics include linear
and quadratic equations; polynomial, rational exponential, logarithmic,
and trigonometric functions; sequences; and programming.
Applications to the physical and life sciences, environmental studies,
and finance. Graphing
calculators are used extensively to explore and reinforce key concepts.
Students who have
performed well in a Precalculus course elsewhere should enroll directly
in Calculus I.
Prerequisite: Three years of high school algebra
and geometry.
(View course syllabus.)
MAT 201 Computer Science
I - 4cr/16wks
Algorithm development, problem solving methods,
program design and implementation using a high-level language are explored.
Emphasis is placed on general principles of programming.
Topics covered include data types, logical structures and loops, arrays.
Programming projects
illustrative of current applications are assigned.
Prerequisite: MAT 150 Elementary Functions or equivalent.
(View course syllabus.)
MAT 202 Computer Science
II - 4cr/16wks
The course is a continuation of MAT 201. More complex
data structures are introduced: stacks, queues, trees, linked lists, pointers.
MAT 201-202 provide basic competency in scientific programming.
Prerequisite: MAT 201 Computer Science I or equivalent.
(View course syllabus.)
MAT 241 Calculus I - 4cr/16wks
Functions and their graphs, the concept of the derivative,
differentiation formulas, logarithms
and exponentials, trigonometric functions, maxima and minima, extrema
problems, related rates, chain rule, introduction to integration and applications.
Graphing calculators are used
extensively to explore and reinforce the mathematical concepts.
Prerequisite: MAT 150 Elementary Functions or other
Precalculus course.
(View course syllabus.)
MAT 242 Calculus II -
4cr/16wks
Applications of integration, numerical integration,
elementary differential equations and
applications, techniques of integration, sequences, series, and Taylor's
Theorem with
remainder, approximations of transcendental functions, Fourier Series.
Prerequisite MAT 241 Calculus I.
(View course syllabus.)
MAT 243 Calculus III -
4cr/16wks
Vector algebra, lines and planes, partial derivatives,
the gradient, graphing in 3 dimensions,
multiple integrals, and vector integral calculus, computer graphing.
The software package
MATLAB is introduced and used extensively.
Prerequisite: MAT 242 Calculus II.
(View course syllabus.)
MAT 250 Linear Algebra
- 4cr/16wks
Systems of linear equations, Gaussian elimination,
matrix algebra, geometry in three
dimensional Euclidean space, vector spaces, linear independence, spanning,
linear
transformations, eigenvalues and eigenvectors, digitalization. MATLAB
is used extensively.
Prerequisite: MAT 242 Calculus II.
(View course syllabus.)
MAT 251 Differential Equations
- 4cr/16wks
Classification, uniqueness and existence properties,
analytic methods for solving first- and
second-order differential equations, systems of linear differential
equations with constant
coefficients, matrix methods, and Laplace transform theory are introduced.
Emphasis is on the
development of techniques for solving differential equations arising
in applications.
Prerequisite: MAT 242 Calculus II
(View course syllabus.)
MAT 290-298 Special Topics
in Mathematics - 2-4cr/8 or 16wks
In-depth consideration of a topic in Mathematics.
May be repeated for credit under different
topics.
MAT 299 Independent Study
- 1-4cr/16wks
MAT 303 Computer Science
III - 4cr/16wks
The course is a continuation of data structure topics
from MAT 202. Topics include trees,
graphs, memory management, sequential and random access files, and
techniques for file
management. Ordinarily, a large programming project is required which
utilizes the data
structure development.
Prerequisite: MAT 202 Computer Science II
(View course syllabus.)
MAT 304 Computer Science
IV - 4cr/16wks
Principles of computer organization are introduced:
levels of computer organization, digital
logic, microprocessing, machine language, assembly language, operating
system processes,
memory, interrupts, addressing, controls, paging, tasking, and linkage.
Prerequisite: MAT 202 Computer Science II.
(View course syllabus.)
MAT 310 Abstract Algebra
- 4cr/16wks * (1997-98)
Axiomatic structures, elementary number theory,
groups and group representations, applications of groups, symmetry groups,
homomorphisms, isomorphisms, rings, and fields. The emphasis is on theorem
proving.
Prerequisite: MAT 250 Linear Algebra.
(View course syllabus.)
MAT 320 Geometry - 4cr/16wks
* (1998-99)
Axiomatic foundations of Euclidean geometry, Euclidean
rigid motions, inversions, the isometry theorems, the Fifth parallel Postulate
and non-Euclidean geometries, Riemannian geometry, mathematical foundations
of Relativity, philosophy and history of geometry and spacetime theories.
The software package Geometer's Sketchpad is introduced and used extensively.
Theorem proving and understanding logical relationships among ideas are
stressed.
Prerequisite: MAT 242 Calculus II.
(View course syllabus.)
MAT 370 Probability -
4cr/16wks * (1997-98)
Combinatorics, random variables, distributions,
expectations, variances, correlation
coefficients, Central Limit Theorem, Law of Large Numbers, introduction
to stochastic
processes, computer simulations of random models, applications.
Prerequisite: MAT 242 Calculus II.
(View course syllabus.)
MAT 380 Discrete Mathematics
- 4cr/16wks * (1998-99)
Sets, propositional and predicate calculus, recursive
definitions and recurrence relations,
combinatorial techniques, partially ordered sets, graphs, trees, Boolean
algebra, algebraic
systems.
Prerequisite: MAT 242 Calculus II.
MAT 400 Real Analysis
- 4cr/16wks * (1997-98)
Sets, construction of the real numbers, topology
of the real line, open and closed sets, limits,
compactness, connectedness, continuity, metric spaces, continuity of
functions on metric spaces,
pathological sets and functions.
Prerequisite: MAT 243 Calculus III.
MAT 420 Complex Analysis
- 4cr/16wks * (1998-99)
The complex plane, DeMoivre's Theorem, analytic
functions, harmonic functions,
Cauchy-Riemann equations, Cauchy integral formula, residue theory,
applications to integration, series expansions, bilinear maps, and introduction
to conformal mapping.
Prerequisite: MAT 243 Calculus III.
MAT 440 Numerical Analysis
- 4cr/16wks * (1998-99)
Finite precision arithmetic, error analysis, calculations
of transcendental functions, roots,
Newton-Raphson and related methods, curve fitting, interpolation, numerical
linear algebra,
numerical solutions of differential equations, and Runge-Kutta methods.
Numerous programming assignments.
Prerequisites: MAT 250 Linear Algebra, MAT 251 Differential
Equations, and MAT 201 Computer Science I or equivalent programming
experience.
MAT 490-498 Special Topics
in Mathematics - 2-4cr/8 or 16wks
In-depth consideration of a topic in Mathematics.
May be repeated for credit under different
topics. These can be in foundations of mathematics, logic topology,
differential geometry,
measure theory, stochastic processes, number theory, history of mathematics,
mathematical
methods in science, internships, or other topics of interest to student
and faculty.
(View course syllabus
for MAT 492.)
MAT 499 Independent Study
- 1-4cr/16wks
Tutorials and independent projects with approval
of the department.