Text-only | Thursday, April 26, 2018

**MAT 098 Elementary Algebra 3 SH
**First order linear equations, algebraic techniques including manipulation of
algebraic expressions, solution of linear equations and inequalities,
graphing of linear equations and applications. This 3 SH course carries no
academic credit and does not satisfy the general education requirement in
mathematics/computer science. Grade is P/F only.

**MAT 100 Intermediate Mathematics 3 SH
**Manipulating and simplifying polynomials and rational expressions; algebraic
techniques including solution of first and second degree algebraic equations
and inequalities; solution of systems of equations and inequalities;
graphing of linear equations and applications; exponential functions and
logarithms. Three free elective credits will be earned; the course does not
satisfy the general education requirement in mathematics/computer science.
Grade is P/F only. Admission by successful completion of MAT 098 or
placement testing.

**MAT 105, 106 Foundations of Mathematics I & II 3 SH Each Sem.
**A two-semester mathematics course designed for and required of students
preparing to teach in the elementary schools. Topics to include number
systems and their properties, problem-solving, geometry and measurement,
probability and statistics, and applications. Assumes a background in
mathematics that includes algebra and geometry. Prerequisite: MAT 100 or
appropriate test score.

**MAT 110 Great Ideas in Mathematics 3 SH
**This is a survey course designed to acquaint the student with mathematical
ideas not normally encountered at the precollege level. The course conveys
something about the nature of mathematics - its methods, uses and roles in
society - through an elementary treatment of topics such as rubber-sheet
geometry, number theory, astronomy, modular arithmetic or art.

**MAT 115 Introduction to Biostatistics 3 SH
**Primary focus is on statistical comprehension of the research aspects of
current nursing, medical and other health-related literature through an
understanding of statistics utilizing the computer. Not open to students who
have passed MAT 120.

**MAT 118 Elementary Applied Mathematics 3 SH
**Fundamental mathematical tools useful in the study of business and the
social sciences, including matrices and polynomial calculus. Not open to
students who have completed MAT 181 or 135.

**MAT 120 Elementary Statistics 3 SH
**An introduction to the practice of statistics that emphasizes elementary
data analysis and inference. Topics include correlation, regression,
probability models, estimations, hypothesis testing of various parameters
and analysis of variance. Examples will be selected from many fields, such
as anthropology, business, medicine, psychology, the natural sciences,
sociology and education. Students will be expected to use appropriate
computer software. (Not open to students who have passed MAT 115.)

**MAT 133 Precalculus 3 SH
**The functions needed for the study of calculus are presented from a
numerical, graphical and algebraic point of view. Polynomial, exponential,
logarithmic and trigonometric functions are included. Graphics calculators
are used throughout the course. Not open to students who have passed any
calculus course.

**MAT 135 Concepts of Calculus 3 SH
**A survey of fundamental concepts of calculus: limits, derivatives, integrals
and applications pertaining to the study of business and the social
sciences. Emphasis will be on concepts, not on theoretical treatment. Not
open to students who have passed MAT 181.

**MAT 165 Introductory Discrete Mathematics 4 SH
**An introduction to discrete structures and processes such as counting,
algorithms, proof, induction and recursion through the study of logic, sets,
relations and functions. Sufficient theory is introduced for applications to
graph theory and elementary computer science.

**MAT 181 Calculus I 4 SH
**An introduction to the two fundamental tools of calculus - derivatives and
integrals-from algebraic, graphical and data-based points of view. Calculus
is presented as a problem-solving tool with applications to the physical and
social sciences. Graphing and symbolic-manipulating calculator and computer
tools are used throughout the course.

**MAT 182 Calculus II 4 SH
**An extension of the study begun in calculus I with greater emphasis on
differentiation and integration skills and techniques. Topics include
methods of integration, approximating methods and infinite sequences and
series. Graphing and symbolic-manipulating calculator and computer tools are
used throughout the course.

**MAT 198 Calculus of Polynomials 3 SH
**This course will cover the basic concepts and foundations of differentiation
with a focus on linear, polynomial and power functions. The necessary
precalculus material is taught along the way so that the only prerequisite
is MAT 100. This is the first half of a two-semester sequence. This first
course satisfies the mathematics general education requirement and combined
with the second semester, MAT 198: Calculus I with review (Spring 2005),
they count as Math 181 with regard to prerequisites in subsequent courses.

**MAT 211 The Mathematical Laboratory 3 SH
**Topics will be selected from the background material for elementary and
middle-school mathematics, including functions, measurement, geometry and
problem-solving. Manipulative materials will be used throughout this course.
Recent topics pulled from mathematical journals may also be included.

**MAT 220 Intermediate Statistics 3 SH
**A second course in statistical methods that stresses analysis of
multivariate data applications from social and natural sciences, business,
health and medical sciences or education. Some familiarity with computers is
assumed, since statistical software will be used throughout.

**MAT 242 Foundations of Geometry 3 SH
**Elementary geometry, primarily from the point of view of transformations:
postulates, isometries, congruence, similarity, triangles and circles, area
and perimeter, informal three-space geometry. This course is designed for
elementary education majors majoring in mathematics and for secondary
education majors.

**MAT 250 Mathematical Modeling 3 SH
**This courses addresses the ways in which mathematics and mathematical
thinking serve as a model for understanding real world phenomena. The
purpose of this course is to prepare students to apply upper level
mathematics to other problems outside the realm of mathematics. Students
also learn how to incorporate mathematics in technical reports.

**MAT 251 Posing and Solving Problems in Mathematics 3 SH
**Posing and solving problems is a course in heuristics, the art of inventing
or discovering solutions to problems in the absence of routines that make
those solutions readily attainable. General methods for discovering
solutions to such problems will be presented.

**MAT 272 Introduction to Linear Algebra 3 SH
**Topics will be selected from: systems of linear equations, vector spaces,
basic operations for matrices, determinants, bilinear and quadratic
functions and forms, linear transformations on a vector space, and others.

**MAT 281 Calculus III 4 SH
**The study of multivariable and vector calculus, including partial
derivatives, multiple integrals and applications. Emphasis on the graphical,
numerical and algebraic points of view as developed in Calculus I and
Calculus II will be continued.

**MAT 282 Ordinary Differential Equations 3 SH
**The classification and techniques of solving differential equations-from
algebraic, graphical, and data-based points of view. Modeling of problems
that lead to differential equations from biological and physical sciences.
Graphing and symbolic-manipulating computer tools are used throughout the
course.

**MAT 298 Faculty Developed Study 1-4 SH**

**MAT 299 Student Developed Study 1-6 SH**

**MAT 342 Topics in Geometry 3 SH
**The central theme of the course is the study of many different geometries,
rather than a single geometry. The focus will be on those geometries that
have been developed since 1800 with references back to the geometry of
Euclid.

**MAT 351 Independent Study 3 SH
**Designed for students who show above average ability and interest in
mathematics. It allows the student to study advanced topics not included in
the standard course offerings. Approval of mathematics department is
required.

**MAT 356 Introduction to Operations Research 4 SH
**This course includes topics in classical optimization, linear programming,
probabilistic simulation and the network analysis. These techniques are
applied to mathematical problems in business and society. Theoretical
aspects of problems are considered, aided by computer use.

**MAT/CS 359 Introduction to Theory of Computation 3 SH
**Basic theoretical principles embodied in formal languages, automata and
computability.

**MAT 363 History of Mathematics 3 SH
**A survey of the historical development of mathematics designed to help
students develop their own philosophy of mathematics as well as their answer
to the question, "What is mathematics?"

**MAT 381 Advanced Calculus 3 SH
**Topics selected to enhance the student's understanding of analysis: point
set topology, metric spaces, continuity, integration theory, uniform
convergence, power series.

**MAT 382 Complex Variables 3 SH
**Continuity, differentiability, analyticity, line integration and power
series within the context of the complex number system. Residues and poles,
conformal mapping, analytic continuation and most of the well-known
classical theorems associated with the theory of complex variables.

**MAT 400 Applied Mathematics 3 SH
**This course will investigate the applications of mathematics to areas of
human endeavor where quantification is possible. The mathematical
descriptions so obtained may then be used to predict future states, make
logical choices and obtain a deeper understanding of the systems and
phenomena under study. Differential equations and other mathematical skills
will be used to investigate topics in the natural and behavioral sciences.

**MAT 410, 411 Mathematical Statistics I & II 3 SH Each Sem.
**A two-semester course that introduces the major distributions used in
classical statistics, e.g., binomial, normal and chi square, and develops
the mathematical theory basic to an understanding of them. Estimation
theory, hypothesis testing, regression analysis and analysis of variance
will be presented, and applications will be given.

**MAT 416 Introduction to Abstract Algebra 3 SH
**This course deals with the mapping operation and relations of sets, as well
as other axiomatic treatment of numbers. It includes some study of groups,
integral domains and fields.

**MAT 431-432 Numerical Analysis I & II 3 SH Each Sem.
**The study of numerical methods associated with systems of linear equations,
eigenvalues, polynomial and transcendental equations, and solutions of
differential equations; the theory of interpolation and functional
approximation; techniques of numerical differentiation and integration. Also
included are the topics of least squares and nonlinear functional
optimization, the analysis of types of errors, and computational speed.
Compute implementation of numerical methods will be emphasized throughout
the course.

**MAT 481-482 Wavelet Analysis I & II 3 SH Each Semester
**A basic introduction to wavelet transformation and related mathematics with
application of signal processing, data compression digital communication,
and wavelet-based diagnosis. Wavelet Analysis II will continue with more
advanced topics in wavelet transformations, with applications in image
analysis, object-oriented wavelet analysis using appropriate computer
software, and numerical solutions of differential equations.

© Western Connecticut State University, 181 White Street, Danbury, CT 06810 | Campus Maps | Directions