DEPARTMENT OF MATHEMATICS
|
DEPARTMENT OF MATHEMATICS |
Schedule
of Undergraduate Course Offerings
Schedule
of Graduate Course Offerings
MATHEMATICS (MA) UNDERGRADUATE COURSE DESCRIPTIONS
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MA 003. Mathematics Major Field Achievement Test. Mathematics Major Field Achievement Test. Required of all Mathematics majors (Pure, Applied Mathematics and Statistics, and Secondary Education). Prerequisite: Major in Mathematics, 90 credit hours. (0)
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MA 090. Developmental Algebra.
Operations and
variables, linear equations and inequalities, exponents, polynomials, factoring,
rational expression, linear equations and their graphs. For students who score
17 or below on enhanced ACT mathematics
subtest. See graduation requirements . (3)
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MA 095. Intermediate Algebra.
Polynomials, factoring,
equations and inequalities in one and two variables, rational expressions,
rational exponents, quadratic equations, and systems of linear equations.
Prerequisite: MA 090 with a grade of 'C' or higher, or ACT Math subscore of
18-20, or ACT Math subscore of 17 or below with MA 090 placement score of 11 or
higher. See graduation requirements. (3)
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MA 118. Mathematics I.
Introduction to problem
solving strategies, sets, whole numbers and their operations and properties,
number theory, numeration systems, computer usage, and the historical
significance and applications of these topics in the K-9 mathematics curriculum.
Prerequisites: MA 095 with a grade of 'C' or higher, or ACT Math subscore of
18-20 with MA 095 placement score of 14 or higher, or ACT Math subscore of 21 or
higher. Declared education major in elementary, early childhood, exceptional
child, middle school, or secondary mathematics or human environmental studies:
child development option major.
(University Studies course) (3)
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MA 123. Survey of Mathematics.
A sampling of topics
which mixes mathematics history, its mathematicians, and its problems with a
variety of real-life applications. Prerequisites: MA 095 with a grade of 'C' or
higher, or ACT Math subscore of 18-20 with MA 095 placement score of 14 or
higher, or ACT Math subscore of 21 or higher. (University Studies course) (3)
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MA 133. Plane Trigonometry.
Circular functions,
right and oblique triangles, identities and equations, complex numbers.
Prerequisites: MA 095 with a grade of 'C' or higher, or ACT Math subscore of
18-20 with MA 095 placement score of 14 or higher, or ACT Math subscore of 21 or
higher. (2)
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MA 134. College Algebra.
Functions and graphs,
polynomial and rational functions, exponential and logarithmic functions,
systems of equations and inequalities, binomial theorem. Prerequisite: MA 095
with a grade of 'C' or higher, or ACT Math subscore of 18-20 with MA 095
placement score of 14 or higher, or ACT Math subscore of 21 or higher. (University Studies course) (3)
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MA 135. Precalculus.
Integrated course of
College Algebra and Plane Trigonometry. Credit may not be received for MA 133 or
MA 134 and MA 135. Prerequisites: MA 095 with a grade of 'C' or higher, or ACT
Math subscore of 18-20 with MA 095 placement score of 14 or higher, or ACT Math
subscore of 21 or higher. (5)
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MA 138. Discrete Mathematics.
Applied mathematics
course emphasizing fundamental principles of discrete mathematics and
application to computer science. Topics include logic, mathematical induction,
sets, relations, functions, algorithms, permutations and combinations, and graph
theory. Prerequisite: MA 134 with a grade of 'C' or higher. (3)
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MA 139. Applied Calculus.
For students in
business, social or life sciences. Functions, limits, differentiation and
integration of elementary functions. Emphasizes applications. Prerequisites: MA
134 with a grade of 'C' or higher. (3)
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MA 140. Analytic Geometry and Calculus I.
Analytic
geometry, functions, limits, derivatives and integrals of algebraic,
trigonometric, and exponential functions with applications. Prerequisites: MA
133 with a grade of ‘C’ or higher and MA 134 with a grade of 'C' or higher, or
MA 135 with a grade of 'C' or higher. (5)
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MA 145. Analytic Geometry and Calculus II.
Differentiation and
integration of transcendental functions, series, conic sections, polar
coordinates. Prerequisite: MA 140 with a grade of 'C' or higher. (4)
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MA155. Statistical Reasoning.
Course will introduce
statistical ideas to students. The student will reach an understanding of these
statistical ideas, be able to deal critically with statistical arguments, and
gain an understanding of the impact of statistical ideas on public policy and in
other areas of academic study. Prerequisite: MA 095 with a grade of 'C' or
higher, or ACT Math subscore of 18-20 with MA 095 placement score of 14 or
higher, or ACT Math subscore of 21 or higher. (University Studies Course)
(3)
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MA 218. Middle
School Math. Selected mathematics topics for teachers of middle school
mathematics. Prerequisite: MA 134 with a grade of 'C' or higher and a Secondary
and a Middle Education major. (3)
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MA 222. Mathematics of Finance.
A study of simple
interest, bank discount, compound interest, and annuities; with applications to
amortization, sinking funds, and bonds. Prerequisite: MA 134 with a grade of 'C'
or higher. (3)
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MA 223. Elementary Probability and Statistics.
Introduction to the
basic ideas of statistics: descriptive measures, elementary probability,
distributions, estimation, hypothesis testing, correlation, and linear
regression. Prerequisite: MA 134 with a grade of 'C' or higher. (3)
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MA 230. Mathematics for the Early Childhood Teacher.
Topics taught in
mathematics classes K-3. Emphasizes the logic and development of number
concepts, classifications, numeration, attributes and patterns, measurement and
geometry of shapes. May be counted only as elective credit except for a degree
program on which this course is expressly required. Prerequisite: MA 118 with a
grade of 'C' or higher. (2)
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MA 240. Analytic Geometry and Calculus III.
Vectors and solid
analytic geometry, partial differentiation, multiple integrals, topics in vector
calculus. Prerequisite: MA 145 with a grade of 'C' or higher. (3)
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MA 245. Vector Calculus.
Vectors, vector
functions, vector geometry, vector analysis. Prerequisite: MA 240 with a grade
of 'C' or higher. (2)
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MA 250. Foundations of Mathematics.
An introduction to
understanding and writing proofs using fundamental concepts such as relations,
equivalence, partitions, mathematical induction, functions, development of
number systems and infinite sets. Prerequisite: MA 138 or MA 139 or MA 140 with
a grade of 'C' or higher. (3)
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MA 318. Mathematics II.
A development of the
real number system, its properties and applications, including algebraic logic,
graphing, statistics, probability, and measurement. May be counted only as
elective credit except for a degree program in which this course is expressly
required. Prerequisite: MA 118 with a grade of 'C' or higher. (3)
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MA 334. Computer Programming.
Principles of
programming digital computers in FORTRAN and/or BASIC applied to some important
computer algorithms in mathematics. Prerequisite: MA 139 or MA 140 with a grade
of 'C' or higher. (3)
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MA338. Discrete Mathematics II.
An applied mathematics
course that emphasizes fundamental principles of discrete mathematics and their
applications to computer science. Topics include the principle of inclusion and
exclusion, generating functions, recurrence relations, graph theory, Boolean
algebra, coding theory and combinatorial designs. Prerequisite: MA 138 with a
grade of 'C' or higher. (3)
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MA 340. Concepts of Geometry.
Axiomatic geometry,
Menelaus' and Ceva's theorems, harmonic elements and cross ratio, Desarques'
theorem, inversion. Prerequisite: MA 139 or MA 140 with a grade of 'C' or higher. (3)
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MA 345. Linear Algebra.
Systems of linear
equations, matrices and Gaussian elimination, vector spaces, eigenvalues and
eigenvectors, inner products and orthogonal sets. Prerequisite: MA 139 or MA 140
with a grade of 'C' or higher. (3)
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MA 350. Differential Equations I.
Theory and techniques
of solving ordinary differential equations, applications, numerical methods,
series solutions, Laplace transforms. Prerequisite: MA 240 with a grade of 'C'
or higher. (3)
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MA 440/441. Independent Study. Study topics in mathematics not covered in other courses. Prerequisite: MA 240 with a grade of 'C' or higher (12)
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MA 418. Geometry for Teachers.
Euclidean geometry
(demonstrative, coordinate, transformational), intuitive relations,
constructions, properties of lines, polygons, circles, and 3-dimensional
figures. Prerequisite: MA 118 with a grade of 'C' or higher. (3)
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MA 423.
Statistical Analysis for Forensic Science.
Introduction to the statistical analysis of genetic data used in forensic
science. Basic probability distributions used in analyzing genetic data will be
discussed. Emphasis will be placed on estimation and statistical inferential
procedures in forensic science. Prerequisite: MA 140 with a grade of 'C' or
higher. or consent of instructor.
(3)
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MA 443. Elementary Number Theory.
Topics of number
theory, including fundamental laws, Diophantine equations, the integers, and the
properties of linear and quadratic congruences. Prerequisite: MA 139 or MA 140
with a grade of 'C' or higher. (3)
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MA 445. Modern Algebra.
Introduction to the
study of sets, rings, fields, groups, and vector spaces. Prerequisite: MA 250
with a grade of 'C' or higher. (3)
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MA 448. Mathematics Seminar.
MA 240 with a grade of
'C' or higher. (1)
MA 461/463. Special Topics in Mathematics. Lectures, discussions, and/or assigned readings
on various topics in mathematics. The topic will vary with each offering. (1-3)
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MA 464. Mathematical
Cryptography. Course
will cover basic concepts of secure communication. Classical cryptography and
cryptoanalysis, monoalphabetic and polyalphabetic ciphers. Shannon's theory of
secrecy. Modern private-key cryptosystems such as DES, and public-key
cryptosystems such as RSA. Prerequisites: MA 223 or MA 250 or MA 338 or MA 345
or MA 443 with a grade of 'C' or higher. (3)
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MA 486/488. Internship in Mathematics. A supervised learning and work experience in
mathematics which enhances the student's understanding of, appreciation for, and the
application of mathematics. Prerequisites: 45 hours completed; GPA above 3.0; 16 hours
above MA 134; consent of instructor. (1-3)
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MA 523. Probability and Statistics I.
Introduction to
probability and statistics using the tools of calculus. Algebra of probability,
random variables, discrete and continuous distributions. Prerequisite or
Corequisite: MA 240. (3)
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MA 524. Probability and Statistics II. Continuation of MA 523 with
emphasis on applications, sampling, estimation, hypothesis testing, regression, experimental
design, nonparametric methods. Prerequisite: MA 523. (3)
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MA 540. Projective Geometry. Noneuclidean geometries, study of
projective geometry and its relation to other geometries. Prerequisite: MA 340 or 10 hours
of mathematics courses numbered above MA 140. (3)
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MA 544. Numerical Analysis. Approximation procedures, numerical
differentiation and integration, numerical solution of equations, systems of equations,
and differential equations, with reference to computers. Prerequisites: MA 240; MA 334.
(3)
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MA 545. Linear Algebra and Matrices. Introduction to vector
spaces, linear transformations, matrices, eigenvalues, eigenvectors, and numerical
methods in linear algebra. Prerequisite: MA 445. (3)
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MA 546. Advanced Calculus I. Elementary set theory and topology,
sequence and series, continuity and differentiability of functions on Euclidean nspace.
Prerequisites: MA 240; MA 250. (3)
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MA 547. Advanced Calculus II. Convergence of series of functions,
Implicit Function Theorem, integration. Prerequisite: MA 546. (3)
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MA 550. Differential Equations II. Theory and techniques of
solving ordinary differential equations, partial differential equations, and boundary
value problems. Applications, Numerical methods, and Stability. Prerequisite: MA 350. (3)
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MA 560. Research Methods in Mathematics. An overview of research
methods. Practice in the methods for the formulation and solution of problems.
Prerequisite: MA 240 or MA 445. (3)
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MA580. Experimental Design and Analysis of
Variance. completely randomized design and analysis, randomized block design
and analysis, factorial experiments, split-plot design and analysis, repeated
measurement experiments and analysis, analysis of covariance. Prerequisites:
MA223 (Elementary Probability and Statistics) or consent of instructor. (3)
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SE311. Techniques of Teaching High School Mathematics.
Methods, materials and trends in secondary mathematics. Prerequisites: Blocks I
& II. Corequisites: Block III & EX390. (3)
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UI388. Mathematical Modeling. (3)
UI 438. The Nature and Growth of Mathematical Thought. An emphasis on mathematical ideas as a growing, changing human endeavor, influencing the history of societies including today's technological culture. Prerequisites: Development of a Major Civilization; MA 139 or MA 140. (University Studies course) (3)
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MATHEMATICS (MA) GRADUATE COURSE DESCRIPTIONS
MA524. Probability and Statistics II. A continuation of MA523 with emphasis on applications. Sampling, estimation, hypothesis testing, regression, experimental design, non-parametric methods. Prerequisite: MA523. (3)
MA540. Projective Geometry. Non-Euclidean geometrics, study of projective geometry, interrelationship of projective geometry to other geometries. Prerequisite: MA340 or consent of instructor. (3)
MA544. Numerical Analysis. Finite differences, numerical differentiation and integration, numerical solution of equations and differential equations, with special reference to high speed computers. Prerequisites: MA240, MA334, (3)
MA545. Linear Algebra and Matrices. Vector spaces, linear transformations, matrices, characteristic values, characteristic vectors, and applications. Prerequisite: MA445. (3)
MA546. Advanced Calculus I. Elementary set theory and topology, sequences and series, continuous and differentiable functions on Euclidean n-space. Prerequisite: MA240. (3)
MA547. Advanced Calculus II. Convergence of series of functions, Implicit Function Theorem, integration. Prerequisite: MA 546. (3)
MA550. Differential Equations II. Theory and techniques of solving the order linear differential equations, nonlinear differential equations, partial differential equations, and boundary value problems, Prerequisite: MA350. (3)
MA560. Research Methods of Mathematics. An overview of research methods. Practice in the methods for the formulation and solution of problems. Prerequisite: MA240 or MA445. (3)
MA 623. Statistical Analysis for Forensic Science. Introduction to the statistical analysis of genetic data used in forensic science. Basic probability distributions used in analyzing genetic data will be discussed. Emphasis will be placed on estimation and statistical inferential procedures in forensic science. Prerequisite: MA140 or consent of instructor. (3)
MA630. Basic Concepts of Modern Mathematics. An introduction to logic and sets, algebraic systems, and elementary concepts in geometry. Designed for elementary school teachers. (3)
MA632. Foundations of Geometry. Historical development of the postulational approach to geometry, coordination of affine and projective plans and metric, postulates for Euclidean, hyperbolic, and elliptic planes. (3)
MA633. Differential Geometry. Basic properties of curves and surfaces in three dimensional space, arc length, curvature, torsion. Frent-Seret formulas, surface normal, tangent plane, fundamental forms of surface theory. Prerequisite: MA 240. (3)
MA635. Topology. Study of sets, relations, functions, products, cardinality, metric spaces, topological spaces, convergence, continuity, separation axioms, connectedness, compactness, homotopy, and, fundamental group. (3)
MA638. History of Mathematics. A historical account of mathematics from the time of Newton and Leibniz to its twentieth century developments. (3)
MA640. Seminar in Contemporary School Mathematics. A survey of the major new curricula in mathematics for secondary school. (3)
MA643. Number Theory. A study of prime numbers, congruences, quadratic residues, and numerical functions. (3)
MA645. Algebra. A study of the basic algebraic (number) systems including groups, rings, modules, and categories. Prerequisites: MA445 and either MA345 or MA545 or consent of instructor. (3)
MA646. Modern Real Analysis. A study of sets, metric spaces, the Lebesque integral, Hilbert space. Prerequisite: MA546 or the equivalent. (3)
MA647. Complex Analysis. Complex numbers, analytic function, integrals, power series, residues and poles, and conformal mapping. Prerequisites: MA240. (3)
MA648. Independent Study in Mathematics. Study of topics in specialized area not covered by regular course offerings. (1)
MA649. Independent Study in Mathematics. (2)
MA650. Independent Study in Mathematics. (3)
MA694. Thesis. A written report based upon investigation of some subject or the completion of a creative project. See Thesis Plan for additional information. (3)
MA695. Thesis. Second semester. (3)
MA696. Thesis. Second semester. (2)
MA697. Thesis. Second semester. (1)
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