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The information on
the courses is NOT official. Please consult the appropriate
catalog for the official information. |
- MAT 099 Freshman Orientation
(1).
- Required for all entering freshmen. Only one freshman
orientation course will count toward graduation. Graded
pass/fail. (Fall)
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- MAT 100 Developmental
Mathematics (3).
- The basic operations as they pertain to fractions, decimals,
percentages and pre-algebra including signed numbers and
operations performed on polynomials. A developmental and refresher
course. Credit earned in this course cannot be counted toward
graduation requirements and cannot be used to fulfill university
studies requirements. Letter-graded course.
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- MAT 105 Introductory Algebra
(4).
- Algebraic expressions, exponents, linear and quadratic
equations, graphing, systems of equations, inequalities, and
mathematical modeling. Prerequisite: ACT math
standard score of at least 18 or MAT 100. Credit earned in
this course cannot be counted toward graduation requirements and
cannot be used to fulfill university studies requirements.
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- MAT 115 Mathematics for
Middle and Elementary Teachers I (3).
- Development of the real number system with arithmetic and basic
ideas of algebra. A course specifically designed for the needs of
future elementary and middle school teachers. Cannot be used for
university studies requirements. Prerequisite: Math
ACT score of at least 18 or one course from university studies
mathematics electives.
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- MAT 117 Mathematical Concepts
(3).
- Provides students with problem-solving skills and literacy
related to the mathematics which is commonly encountered in our society. Topics
include descriptive statistics, personal finance, voting methods,
elementary probability, and graph theory. This course is especially appropriate for
students whose degree programs do not otherwise require a course
in mathematics. It is not an adequate preparation for any
other mathematics course except MAT 115 and 215. Prerequisite: ACT math standard score of at
least 18 or MAT 100.
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- MAT 130 Technical Math I
(5).
- Topics from algebra and trigonometry for the technology student. Restriction: A student may not receive credit for MAT 130 and 140
or 145 or 150. Prerequisite: ACT math standard score of at
least 20 or MAT 105.
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- MAT 135 Introduction to
Probability and Statistics (4).
- Elementary probability, the binomial, normal, student's and
chi-square distributions, random sampling, regression, and
correlation. Prerequisite: ACT math standard score of at
least 20 or MAT 105.
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- MAT 140 College Algebra
(4).
- Course develops and extends the student's basic algebra concepts
and problem-solving skills in the context of functions, models, and
applications. Topics include exponents and radicals; graphing;
setting up and solving equations in linear, quadratic, and other
forms; systems of equations; and operations on functions.
Properties and applications of linear, quadratic, polynomial,
rational, exponential, and logarithmic functions are studied.
Prerequisite: ACT math standard
score of at least 20 or MAT 105. Restriction: A student may not
receive credit for MAT 140 and 130 or 150. (MAT 140 in combination
with MAT 145 will substitute for MAT 150.)
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- MAT 145 Trigonometry
(3).
- Course is a study of plane trigonometry. Topics include
angles, right triangle trigonometry, trigonometric functions and
their graphs, identities, solving trigonometric equations, and
applications of trigonometry. Prerequisite: ACT math standard score
of at least 20 or MAT 105. Restriction: A student may not receive
credit for MAT 145 and MAT 130 or 150. (MAT 145 in combination
with MAT 140 will substitute for MAT 150.)
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- MAT 150 Algebra and
Trigonometry (5).
- Course is an intensive study of college algebra and
trigonometry. A combination of MAT 140 and MAT 145, it is a
faster-paced course for students with some familiarity with the
subjects. MAT 150 may be used as a "refresher" course to help
prepare students for MAT 250. Prerequisite: ACT math standard score of at least 22.
Restriction: A student who receives credit for MAT 150 may not
receive credit for MAT 130, 140 or 145. (Credit or the combination
of MAT 140 and MAT 145 will substitute for MAT 150.)
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- MAT 215 Mathematics for
Middle and Elementary Teachers II (3).
- Geometry, measurements, probability and statistics for
elementary and middle school teachers. Cannot be used for
university studies requirements. Prerequisite: Math
ACT score of at least 18 or one course from University Studies
mathematics electives. .
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- MAT 220
Business Calculus (3).
- An introduction to calculus and its applications for students in
various fields of business. Primary emphasis is on
differential calculus. Prerequisite: MAT 140 or ACT math
standard score of at least 23.
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- MAT 230 Technical Math II
(5).
- Analytic geometry, differential and integral calculus with
applications from technical fields. Prerequisite: MAT 130.
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- MAT 250 Calculus and Analytic
Geometry I (5).
- First course in calculus that develops main ideas of
differentiation and integration of single-variable functions.
Topics include limits, continuity, techniques of differentiation,
graphing techniques, definite and indefinite integral, basic
integration methods, and applications of the derivative and integral
to natural and social sciences. Prerequisites: ACT math standard score of at least 26 or MAT
150 or MAT 140/145.
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- MAT 305 Intermediate Geometry
(3).
- Selected elementary topics in Euclidean geometry. Includes
studies in parallelism, similarity, congruence, areas, volumes,
elementary transformation, and coordinate geometry. Intended for
students seeking middle school certification.
Prerequisite: MAT 115 or MAT 215.
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- MAT 308 Calculus and Analytic
Geometry II (5).
- A continuation of MAT 250, this course further develops
techniques and applications of integration and is an introduction to
sequences and series. Topics include integration strategies,
computing areas and volumes, arc length, parametric curves, polar
coordinates, sequences and series, tests for convergence of series,
power series, and Taylor series. Prerequisite: MAT 250.
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- MAT 309 Calculus and Analytic
Geometry III (4).
- Course develops main ideas of differentiation and integration of
functions of several variables and introduces vector calculus.
Topics include vectors, analytic geometry of 3-dimensional space,
functions of several variables, partial derivatives, directional
derivatives, integrals of functions of two and three variables,
vector fields, line integrals, Green's theorem, and the divergence
theorem. Prerequisite: MAT 308.
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- MAT 312 Mathematical
Reasoning (3).
- This course is designed to improve understanding of the nature
and methods of mathematical proof by means of practice and
participation. The content will include mathematical logic,
set theory, relations and functions, cardinality, axiomatic
structures, techniques of proof, and extensive practice in proof and
problem solving. Credit cannot be received for both MAT 312 and MAT 399.
The department recommends students take this course in their
sophomore year in the program. Prerequisite: MAT
308 or consent of
instructor.
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- MAT 330 Technical Math III
(3).
- Continuation of MAT 230. Includes differentiation and
integration of transcendental functions, series expansions of
functions, and differential equations. Prerequisite: MAT
230.
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- MAT 335 Matrix Theory and
Linear Algebra (3).
- The algebra of matrices and its application to problems in
Euclidean spaces and elementary linear transformations.
Prerequisite: MAT 308.
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- MAT 399 Sets, Logic and
Functions (3).
- An investigation of mathematical reasoning including techniques
of mathematical exploration, problem-solving and proof.
Intended for students seeking Middle School Certification.
Does not count toward a major or minor in mathematics and credit
cannot be received for both MAT 312 and MAT 399.
Prerequisite: MAT 250 or consent of instructor.
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- MAT 411 Ordinary Differential
Equations (3).
- First-order differential equations, linear equations with
constant coefficients, linear and nonlinear systems of
equations. Prerequisite: MAT 308.
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- MAT 421 Introductions to
Algebraic Structures (3).
- An elementary study of the major structures in modern algebra
including groups, rings, fields and integral domains. Prerequisites: MAT
312 and 308.
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- MAT 437 Senior Honors Thesis
(3).
- A faculty-supervised thesis and/or project which allows Honors
Program students with a senior standing to undertake advanced
research. A thesis paper and/or written review of the exhibit or
performance is required.
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- MAT 440 Mathematics
Transforms with Applications (3).
- Integral and discrete transforms, such as Laplace and Fourier
transforms and the z-transform. Power series solutions and
special functions. Prerequisite: MAT 411 or consent of
instructor
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- MAT 442 Introduction to
Numerical Analysis (3).
- Taylor polynomial approximation, numerical root finding methods
and fixed-point iterations, polynomial and spline interpolation,
numerical differentiation and integration, and direct methods for
the solutions of linear systems. Prerequisite: MAT 308
or consent of instructor.
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- MAT 450 Introduction to
Engineering Statistics (3).
- Probability, population and sample distribution, sampling,
hypothesis testing, regression on one variable, and quality
control. Prerequisite: MAT 309.
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- MAT 488 Cooperative Education
(3).
- A meaningful, planned and evaluated work experience related to
the career and educational objectives of the student for which
he/she may receive both academic credit and financial
remuneration. May be repeated for a maximum of six hours from any
488/489 courses. Graded
pass/fail. Prerequisite: permission of chair.
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- MAT 489 Cooperative Education
(3).
- A meaningful, planned and evaluated work experience related to
the career and educational objectives of the student for which
he/she may receive both academic credit and financial
remuneration. May be repeated for a maximum of six hours from any
488/489 courses. Graded pass/fail. Prerequisite:
permission of chair.
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- MAT 500 Internship
(1).
- Graded pass/fail.
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- MAT 501 Mathematical Modeling
I (3).
- A study of mathematical models used in the social, life and
management sciences and their role in explaining and predicting
real world phenomena. The emphasis is on developing skills of
model building. Topics include difference equations, perturbation
theory and non-dimensional analysis. Prerequisite: MAT
411.
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- MAT 502 Mathematical Modeling
II (3).
- A continuation of topics discussed in MAT 501. A term project
consisting of a model of a non-mathematical problem is required.
Prerequisite: MAT 501.
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- MAT 505 Abstract Algebra I
(3).
- An in-depth study of rings and fields. Topics will include the
Isomorphism Theorems, ideals, polynomial rings, integral domains,
fields, field extensions. Prerequisite: MAT 421 or consent
of instructor.
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- MAT 508 Introduction to
Combinatorics and Graph Theory (3).
- Selected topics and applications from combinatorics and discrete
mathematics, which can include: enumeration, generating
functions, recurrence relations, partially ordered sets, Boolean
algebras, block designs, coding theory, and topics in graph
theory, including trees, networks, optimization, and
scheduling. Prerequisites: MAT 308 and
either MAT 312 or MAT 335.
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- MAT 510 Foundations of
Geometry (3).
- Study of postulate systems for geometry, critical examination of
Euclid's Elements, introduction to non-Euclidean geometry.
Prerequisite: MAT 309 or consent of instructor.
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- MAT 512 Partial Differential
Equations (3).
- Partial differential equations of first and second order and
applications. Prerequisites: MAT 309 and 411.
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- MAT 515 Theory of Numbers
(3).
- Divisibility, the Euclidean algorithm, mathematical induction,
prime and composite numbers, Diophantine equation, Pythagorean
triplets, Fermat's Theorem, congruences, quadratic residues,
continued fractions. Prerequisite: MAT 308 or consent of
instructor.
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- MAT 516 Introduction to
Topology (3).
- Set theory, topology of the real line, topological spaces,
metric spaces. Prerequisites: MAT 312 and 309.
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- MAT 520 Introduction to
Complex Variables (3).
- Complex numbers, analytic functions, elementary functions,
integration, Cauchy theorem, Taylor and Laurent expansions, and
applications. Prerequisite: MAT 309.
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- MAT 522 Vector Calculus
(3).
- Operations with vectors; differentiation and integration of
functions of several variables; transformation of coordinates;
line and surface integrals; Green's, Stokes's, and the divergence
theorems. Prerequisite: MAT 309.
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- MAT 524 Boundary Value
Problems (3).
- Analytic and computational techniques for linear first and
second order partial differential equations, initial and boundary
value problems. Classification, Fourier series, separation
of variables, finite difference, and/or finite element
methods. Prerequisites: MAT 309, 411, and
either MAT 335 or consent of instructor.
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- MAT 525 Advanced Calculus I
(3).
- A rigorous development of one variable calculus including
limits, continuity, differentiation, integration and sequences of
functions. Prerequisites: MAT 312 and 309.
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- MAT 526 Advanced Calculus II
(3).
- A continuation of MAT 525 and functions of several variables.
Prerequisite: MAT 525.
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- MAT 530 Special Topics in
Mathematics I (1-3).
- Library investigations of various lengths concerning special
topics in mathematics. Periodic conferences will be arranged with
the supervising faculty member on an individual basis. Prerequisites: Six hours of mathematics courses numbered 400
and above with a mathematics GPA of at least 3.0; consent of
instructor.
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- MAT 531 Special Topics in
Mathematics II (1-3).
- Library investigations of various lengths concerning special
topics in mathematics. Periodic conferences will be arranged with
the supervising faculty member on an individual basis. Prerequisites: Six hours of mathematics courses numbered 400
and above with a mathematics GPA of at least a 3.0; consent of
instructor.
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- MAT 535 Linear Algebra
(3).
- Linear transformations, matrices, quadratic and hermitian forms,
eigenvalues and elementary spectral theory. Prerequisite:
MAT 335.
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- MAT 540 Mathematical
Statistics I (4).
- Introduction to probability theory and statistical
inference. Combinatorics, conditional probability
independence. Discrete and continuous random variables and
their distributions. Expected value and moments of
distributions. Estimation theory and properties point
estimators. Confidence intervals. Basic theory of
hypothesis testing. Testing means and proportion.
T-test. Descriptive statistics. Prerequisite:
MAT 309 or consent of instructor.
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- MAT 541 Mathematical
Statistics II (3).
- Additional topics in probability theory and statistical
inference. Bayes' Theorem, functions of random variables,
order statistics, Bayesian inference, F-tests, chi-square tests,
contingency tables, regression and correlation.
Prerequisite: MAT 540.
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- MAT 542 Numerical Analysis
(3).
- Numerical solution of differential equations, iterative
techniques for solving linear systems, discrete least-squares
methods, orthogonal polynomials, and approximating eigenvalues.
Prerequisites: MAT 411 and either MAT 442 or consent of
instructor (requires knowledge of a scientific programming
language).
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- MAT 545 Boolean Algebra with
Applications to Digital Computer Design (3).
- Boolean algebra is developed as a model to study various
physical systems including the algebra of subsets of a set, propositional
logic, and switching circuits. Prerequisite: consent of instructor.
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- MAT 550 Teaching Mathematics
I (3).
- Programs in secondary mathematics, theory of mathematical
learning, classroom management, evaluation, remedial and
enrichment programs, use of teaching aids with special application
to the teaching of mathematics. Gives credit only toward the M.A.T.
or M.A.Ed. degrees or toward an undergraduate major or minor in
mathematics for those students following a teacher certification
program. If MAT 550 or 551 is counted for the math major or minor,
MAT 421 or 510 must also be taken. If MAT 550 and 551 are counted
for a math major or minor, the student must also take MAT 421 and
510. Prerequisite: MAT 309 or consent of instructor.
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- MAT 551 Teaching Mathematics
II (3).
- Topics in mathematics of special interest to secondary teachers
of mathematics taught with emphasis on presenting them to high
school students. Gives credit only toward the M.A.T. or M.A.Ed.
degrees or toward an undergraduate major or minor in mathematics
for those students following a teacher certification program. If
MAT 550 or 551 is counted for the math major or minor, MAT 421 or
510 must also be taken. If MAT 550 and 551 are counted for a math
major or minor the student must also take MAT 421 and 510. Prerequisite: MAT 309 or consent of instructor.
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- MAT 560 Statistical Methods
(3).
- A survey course in statistical methods for advanced
undergraduate students and graduate students with no prior
training in statistics. The course covers techniques commonly used
for data analysis in many scientific fields. Topics included are
probability distributions, sampling, variance, estimation,
hypothesis testing, contingency table, regression and analysis of
variance. (Does not apply toward any degree in mathematics or a
minor in mathematics.)
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- MAT 565 Applied Statistics I
(4).
- A study of applied statistical techniques including correlation,
regression, analysis of variance and non-parametric methods with a
view toward applications. A statistical computer package will be
used when appropriate, but no computer background is required.
Prerequisite: MAT 560 or consent of instructor.
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- MAT 566 Applied Statistics II
(3).
- A continuation of MAT 565. Includes further topics in analysis
and variance, non-parametrics and multivariate analysis.
Prerequisite: MAT 565.
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- MAT 569 Topics in Statistics
(3).
- Selected topics in probability and statistics. Prerequisite: consent of instructor.
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- MAT 570 Linear Programming
(3).
- Theory and application of linear programming and the role it
plays in operations research. Prerequisite: MAT 335.
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- MAT 602 Integration Theory
(3).
- Riemann integrals, continuous functions, functions of bounded
variation, Riemann-Stieltjes integrals. Prerequisite: MAT
525.
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- MAT 603 Real Function Theory
I (3).
- Lebesque measure and integration theory and related topics.
Prerequisite: MAT 526.
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- MAT 604 Real Function Theory
II (3).
- Functional analysis, including Classical Banach spaces and Lp
spaces. Prerequisite: MAT 603.
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- MAT 605 Selected Topics in
Complex Analysis (3).
- An in-depth study of selected topics introduced in MAT 520.
Prerequisite: MAT 520.
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- MAT 609 Abstract Algebra II
(3).
- An in-depth study of group theory. Topics will include
Lagrange's Theorem, Cauchy's Theorem, the Sylor Theorems, and
factor groups. Prerequisite: MAT 505.
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- MAT 610 Selected Topics in
Algebra (3).
- An in-depth study of selected topics introduced in MAT 505 and
609. Prerequisite: MAT 609.
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- MAT 620 Selected Topics in
Topology (3).
- An in-depth study of selected topics introduced in MAT 516.
Prerequisite: MAT 516.
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- MAT 630 Real Number System I
(3).
- Development of the natural numbers and the integers. (This
course does not offer graduate credit for those people seeking a
master of science degree in mathematics, chemistry or physics, or
a master of arts degree in mathematics.) Prerequisite:
consent of instructor.
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- MAT 631 Real Number System II
(3).
- A detailed development of the rational and real numbers. (This
course does not offer graduate credit for those people seeking a
master of science degree in mathematics, chemistry, or physics, or
a master of arts degree in mathematics.) Prerequisite:
consent of instructor.
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- MAT 632 Foundations of
Analysis (3).
- A study of concepts basic to the elementary calculus, such as
limits continuity, the derivative, and the integral. (This course
does not offer graduate credit to those people seeking a master of
science degree in mathematics, chemistry, or physics, or a master
of arts degree in mathematics.) Prerequisites: MAT 309 and
consent of instructor.
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- MAT 633 Probability and
Statistics (3).
- An introduction to sample spaces, probabilities, and probability
distributions, such as binomial, normal and Poisson. Measure of
center, variability and applications. Statistical inference and
tests of significance. (This course does not offer graduate credit
for those people seeking a master of science degree in
mathematics, chemistry, or physics, or a master of arts degree in
mathematics.) Prerequisite: consent of instructor.
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- MAT 644 Graduate Cooperative
Education (3).
- May be repeated to maximum of six credits. Graded pass/fail.
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- MAT 690 Selected Topics in
Mathematics I (1-3).
- Independent work on selected topics. May be repeated for credit.
Prerequisite: consent of instructor.
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- MAT 691 Selected Topics in
Mathematics II (1-3).
- Independent work on selected topics. May be repeated for credit.
Prerequisite: consent of instructor.
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MAT 698 Research
and Thesis (3). |
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MAT 699 Research
and Thesis (3). |
