Distinguished Professor: Paula A. Kemp, Ph.D.
Professors: Richard G. Belshoff, Ph.D.; Yungchen Cheng, Ph.D.; Kanghui Guo, Ph.D.; Shouchuan Hu, Ph.D.; Kurt Killion, Ed.D.; Shelby Kilmer, Ph.D.; George Mathew, Ph.D.; Lynda M. Plymate, Ph.D., Gay A. Ragan, Ph.D.; Jorge L. Rebaza-Vasquez, Ph.D.; Leslie Reid, Ph.D.; Kishor Shah, Ph.D.; Clayton C. Sherman, Ph.D.; Vera B. Stanojevic, Ph.D.; Yingcai Su, Ph.D.; Xingping Sun, Ph.D.; Cameron Wickham, Ph.D.; Xiang Ming Yu, Ph.D.
Associate Professor: Mark Wayne Rogers, Ph.D.
Assistant Professors: James R. McLeane, M.S. (West Plains Campus); Thomas J. Towell, M.S. (West Plains Campus); Abel Jerry Trick, M.S.Ed. (West Plains Campus); Matthew Wright, Ph.D.; Songfeng Zheng, Ph.D.
Senior Instructors: Pamela J. Henson, M.S.Ed.; Donna N. Sherrill, M.S.Ed.
Instructors: Jennifer L. Bearden, M.S.; Patti A. Blanton, M.S.Ed.; Sylvia Carr, M.S.Ed.; Mark E. Gann, M.S.Ed.; Carolyn Shand-Hawkins, M.S.; Gary L. Stafford, M.A.; Linda R. Sun, M.S.; Dianne M. Twigger, M.S.
Emeritus Professors: David I. Ashley, Ph.D.; Earl E Bilyeu, M.A.; Larry N. Campbell, D.A; Wallace F. Davis, M.Ed.; James R. Downing, M.S.; Frank S. Gillespie, M.A.; Shirley Huffman, Ph.D.; John D. Kubicek, Ph.D.; David B. Lehmann, Ed.D.; Samuel A. Lynch, M.S.; E. Rebecca Matthews, M.S.T.; Neil Pamperien, M.S.T. (West Plains); Clyde A. Paul, Ed.D.; Woodrow Sun, Ph.D.; William Sutherlin, Ph.D.; Joe L. Wise, M.Ed.; Liang-Cheng Zhang, Ph.D.
Emeritus Instructors: Gay F. Ellis, M.A.; Mark E. Gann, B.S.; Beverly Weatherwax, M.S.
Credit by Examination is available. Refer to the Credit by Examination policy in the Academic Regulations section of the catalog.
The following graduate program(s) are available. Refer to the Graduate Catalog for more information.
Eligible Missouri State undergraduate students majoring in Mathematics may apply for preliminary acceptance into the Master of Science degree in Mathematics after admission requirements for the accelerated masters program have been satisfied. If accepted, a maximum of 6 hours of approved graduate-level courses may be counted toward both the undergraduate and graduate degree (Mixed Credit). Refer to the Graduate Catalog for more information.
Eligible Missouri State undergraduate students majoring in BSED Mathematics may apply for preliminary acceptance into the Master of Science in Education degree in Secondary Education/Mathematics after admission requirements for the accelerated masters program have been satisfied. If accepted, a maximum of 6 hours of coursework from among MTH 603, MTH 636, MTH 640 and MTH 667 taken after admission into the program may be counted toward both the undergraduate and graduate degree (Mixed Credit). Refer to the Graduate Catalog for more information.
Eligible Missouri State undergraduate students in a major in the College of Natural and Applied Sciences may apply for preliminary acceptance into the Master of Natural and Applied Science program after admission requirements for the accelerated masters option have been satisfied. If accepted, a maximum of 12 credit hours from approved graduate-level courses may be counted toward both the graduate and undergraduate degrees (Mixed Credit). This option offers an opportunity for CNAS majors whose goals, academic capabilities, and career planning include graduate work, to complete the requirements for the masters degree in less time than would otherwise be possible. Refer to the Graduate Catalog for more information.
For courses to be designated as Mixed Credit, the graduate advisor, undergraduate department head, and Graduate College dean must approve by signing the Permission for Mixed Credit form. This form must be provided to the Office of the Registrar in Carrington Hall 320 no later than the end of the Change of Schedule Period for the semester.
High school mathematics preparation strongly contributes to students’ success in their initial mathematics courses taken at Missouri State. Three units of mathematics at the high school algebra level and beyond are required for admission to Missouri State (see "Admission" section of catalog). The Mathematics Department assumes these three units contain a minimum of the content and performance skills experienced in Algebra I, Geometry, and Algebra II.
An appropriate placement is required prior to taking any of the entry level mathematics courses beyond MTH 101 as noted in the course prerequisite. Students can use their ACT or SAT math sub score or the results from the Department of Mathematics Placement Test to determine their appropriate math placement level. In the event that the placement determined by the ACT or SAT sub score and the departmental test are different, the student may choose either one after consulting with an advisor.
MTH 101 Intermediate Algebra I
This course is recommended for students who have not mastered algebra concepts needed for college algebra. Topics include linear equations and inequalities, absolute value equations and inequalities, exponents, polynomials, rational expressions, and radicals. A student who takes MTH 103 and MTH 101 receives credit toward graduation for only one of these courses. This course will not count toward a mathematics major or minor. A grade of "C" or better is required in this course to take MTH 102. This course may not be taken Pass/Not Pass. 2(1-2) F,S
MTH 102 Intermediate Algebra II
Prerequisite: "C" grade or better in MTH 101, or appropriate placement score. This course is a continuation of MTH 101. Topics include quadratic equations and inequalities, lines, systems of equations, parabolas, circles, and functions. A student who takes MTH 103 and MTH 102 receives credit toward graduation for only one of these courses. This course will not count toward a mathematics major or minor. A grade of "C'' or better is required in this course to take MTH 130, MTH 135, or MTH 138. This course may not be taken Pass/Not Pass. 2(1-2) F,S
MTH 103 Intermediate Algebra
Prerequisite: appropriate placement score. This course is recommended for students who have not mastered algebra concepts needed for college algebra. Topics will include linear and quadratic equations, absolute value equations and inequalities, linear and nonlinear inequalities, properties of exponents, rectangular coordinate systems, lines, circles, parabolas, systems of equations, polynomials and rational expressions, and functions. A student cannot receive credit toward graduation for both the MTH 101-102 sequence and MTH 103. This course will not count toward a mathematics major or minor. A grade of "C" or better is required in this course in order to take MTH 130, MTH 135, or MTH 138. This course may not be taken Pass/Not Pass. 3(3-0) F,S
MTH 130 Contemporary Mathematics
Prerequisite: "C" grade or better in MTH 102 or MTH 103 or approved score on a departmental placement test. General Education Course (Basic Required Courses). This is a problem solving and applications of mathematics course. Topics to be studied will include, but not limited to: the art of problem solving, geometry, probability, statistics, and mathematics of finance. May not count towards a mathematics major or minor. May not be taken Pass/Not Pass. MTH 130 does not meet the prerequisite for MTH 135. 3(3-0) F,S
MTH 135 College Algebra
Prerequisite: "C" grade or better in MTH 102 or MTH 103, or appropriate placement score. MTH 130 does not meet the prerequisite for MTH 135. General Education Course (Basic Required Courses). Contents include the study of linear and quadratic equations; inequalities and their applications; polynomial, rational, exponential and logarithmic functions; and systems of equations. A student who takes MTH 135 and MTH 138 receives credit toward graduation for MTH 138 only. This course will not count toward a mathematics major or minor. A grade of "C" or better is required in this course to take MTH 181, MTH 285, or MTH 287. May not be taken Pass/Not Pass. 3(3-0) F,S
MTH 138 Pre-Calculus Mathematics
Prerequisite: "C" grade or better in MTH 102 or MTH 103 (Recommended: "B" grade or better in MTH 102 or MTH 103), or appropriate placement score. General Education Course (Basic Required Courses) Selected topics in algebra and trigonometry to prepare the student for calculus. A student who takes MTH 135 and 138 receives credit toward graduation only for one of the courses. Will not count toward mathematics major or minor. A grade of "C" or better is required in this course in order to take MTH 261, 287, CSC 125 or 131. This course may not be taken Pass/Not Pass. 5(5-0) F,S
MTH 181 Trigonometry
Prerequisite: "C" grade or better in MTH 135 or appropriate placement score. General Education Course (Basic Required Courses). Triangle trigonometry and its applications; trigonometric and inverse trigonometric functions; trigonometric identities and equations; Rational, exponential and logarithmic functions. A student may not receive credit for more than one of MTH 138 and 181. Will not count toward mathematics major or minor. A grade of "C" or better is required in this course in order to take MTH 287. This course may not be taken Pass/Not Pass. 3(3-0) F,S
MTH 215 Discrete Mathematics
Prerequisite: MTH 138 or approved calculus course or appropriate placement score. General Education Course (Basic Required Courses). Topics include: logic, mathematical reasoning, basic counting, discrete probability, matrices, recursion, sets and relations, graphs and trees. 3(3-0) F,S
MTH 261 Analytic Geometry and Calculus I
Prerequisite: "C" grade or better in MTH 138 or MTH 181 or appropriate placement score. General Education Course (Basic Required Courses). Analytic geometry of the plane, limits, continuity, differentiation with applications, introductory integration with applications. A grade of "C" or better is required in this course in order to take MTH 280, 288. This course may not be taken Pass/Not Pass. 5(5-0) F,S
MTH 280 Analytic Geometry and Calculus II
Prerequisite: "C" or better in MTH 261. General Education Course (Basic Required Courses). Applications of integration, integration techniques, indeterminate forms, improper integrals, sequences, series, conic sections, parametrization, polar coordinates. This course may not be taken Pass/Not Pass. 5(5-0) F,S
MTH 285 Calculus for Business and the Social Sciences
Prerequisite: "C" or better in MTH 135, or appropriate placement score. General Education Course (Basic Required Courses). Short review of algebra; absolute value and inequalities followed by elements of geometry, limits, the derivative, anti-derivative, and their applications. Student taking MTH 285 and 261 receives credit only for 261. 3(3-0) F,S
MTH 287 Computational Calculus with Analytic Geometry I
Prerequisite: "C" or better in MTH 135 or MTH 138, or an approved score on a department placement test. General Education Course (Basic Required Courses). Introduction to the concepts and methods of analytic geometry and differential and integral calculus with emphasis on applications in the natural sciences and technology. Students taking MTH 287 and MTH 261 receive credit only for MTH 261. A student can receive credit for only one of the courses MTH 285 or MTH 287. A grade of "C" or better is required in this course in order to take MTH 288. This course may not be taken Pass/Not Pass. 3(3-0) F
MTH 288 Computational Calculus II
Prerequisite: "C" grade or better in MTH 261 or MTH 287. General Education Course (Basic Required Courses). Continuation of MTH 287. Students taking both MTH 288 and MTH 280 receive credit only for MTH 280. This course may not be taken Pass/Not Pass. 3(3-0) S
MTH 299 Introductory Topics in Mathematics
Variable content course with topics that can change from semester to semester. Topics will be identified by title in the schedule of classes. The course may be repeated if a different topic is offered. Will not count toward a mathematics major or minor, nor will it satisfy the general education basic skills requirement in mathematics. 1-3 D
MTH 300 Service Learning in Mathematics
Prerequisite: 30 hours and concurrent registration in a Mathematics course designated as a service learning offering. This service component for an existing course incorporates community service with classroom instruction in mathematics to provide an integrative learning experience that addresses the practice of citizenship and promotes an awareness of and participation in public affairs. Includes 40 hours of service that benefits an external community organization, agency, or public service provider. Approved service placements and assignments will vary depending on the course topic and learning objectives; a list of approved placements and assignments is available from the instructor and the Citizenship and Service Learning Office. May be repeated. 1 F,S
MTH 302 Multivariate Calculus
Prerequisite: MTH 280. Vector algebra and calculus, solid analytic geometry, partial differentiation, multiple integration, vector fields. 3(3-0) F,S
MTH 303 Differential Equations
Prerequisite: MTH 280. Ordinary differential equations; their solutions and applications. Introduction to operators and the Laplace transformation. 3(3-0) F,S
MTH 315 Algebraic Structures
Prerequisite: MTH 261. Sets, logic, quantifiers, functions, relations, matrices, elementary number theory, induction, recursion, combinatorics, with emphasis on reading and writing proofs and the development of mathematical maturity. 3(3-0) F,S
MTH 320 Foundations of Mathematics for Teachers
Prerequisite: completion of math general education requirement with grade of "C" or better; MTH 130 recommended. This course centers around the structure and properties of the real number system and its subsets. Numeration systems, patterns of numbers, models and algorithms for operations, number theory, probability, and statistics will be studied. Problem solving and communication are continuing themes of this course. Manipulatives (including Base-10 Blocks, Cuisenaire Rods, Number Cubes, and Colored Counters), calculators, and computer software (including a statistical package, spreadsheet and word processor) are used extensively as tools to develop mathematical concepts. Cannot be used as a mathematics elective for the mathematics major or minor. 3(2-2) F,S
MTH 340 Statistical Methods
Prerequisite: completion of General Education mathematics requirement or appropriate placement score. Statistics, elementary probability, estimation and tests of simple hypotheses involving both large and small sample methods, linear correlation. Will not count toward mathematics major or minor. A student may not receive credit toward a degree for more than one of the following courses: AGR 330, MTH 340, PSY 200, QBA 237, REC 328, SOC 302. 3(3-0) F,S
MTH 343 Foundations of Probability and Statistics for Teachers
Prerequisite: "C" or better in MTH 320. This course includes the collection, display, analysis, and misuse of data, measures of central tendency and variation; counting techniques including permutations and combinations; elementary probability, and an informal introduction to correlation and regression. Problem solving and communication skills are continuing themes. This is an activity-based course with extensive use of manipulatives, models and technology. It cannot be used as a mathematics elective for a mathematics major or minor. 3(2-2) F,S
MTH 345 Statistics for Scientists and Engineers
Prerequisite: MTH 280 or MTH 288. Topics include events, probability, random variables, discrete and continuous density functions, expectations, sampling distributions, central limit theorem, estimation, confidence intervals, tests or hypotheses. Computer statistical packages will be used for simulation study and data analysis. 3(3-0) F,S
MTH 360 Foundations of Geometry for Teachers
Prerequisite: "C" or better in MTH 320. This course includes the study of synthetic, analytic, vector and transformational geometries through properties of geometric figures, measurement, construction, conjecture and proof, and tessellations. Problem solving and communication are continuing themes of this course. Manipulatives (including MIRA, Geoboard, Tangrams, Attribute Blocks and compass), calculators, and computer software (including Logo, Geometer's Sketchpad and a word processor) are used extensively as tools to develop geometric concepts. Cannot be used as a mathematics elective for the mathematics major or minor. 3(2-2) F,S
MTH 377 Mathematical Processes
Prerequisite: MTH 135 or MTH 138; and MTH 340 or MTH 343. This course examines both finite and infinite mathematical processes used when solving problems involving discrete or continuous data. As an activity-base and laboratory-centered course, these processes are to be explored in the context of real-world applications. Communication of mathematical concepts and solutions to problems using technology, as well as paper and pencil procedures, is a continuing theme. This course is for the middle school education major who chooses mathematics as an area of subject matter concentration and elementary education majors with an emphasis area in mathematics. The course connects experiences from the concepts of numbers, algebra, geometry, and data analysis to those of the calculus. This course cannot be used as a mathematics elective for the mathematics major or minor. 3(2-2) S
MTH 409 Teaching and Learning of Mathematics I
Prerequisite: SEC 302 and 15 hours of college mathematics, and admission to the Teacher Education Program. Develops foundation for reflective decision-making when teaching algebra to emphasize problem solving, communication, reasoning and proof, connections, and representations. The incorporation of appropriate classroom technology will be stressed. Credited only on the B.S. in Education (Middle/Secondary). A grade of "C" or better is required in this course in order to take MTH 493. May not be taken Pass/Not Pass. Will not count toward the major GPA. 3(2-2) S
MTH 410 Teaching and Learning of Mathematics II, with Practicum
Prerequisite: MTH 409, and admission to the Teacher Education Program. Focus on developing the reflective decisionmaker's appropriate use of current technologies, classroom management techniques and assessment processes in teaching geometry. Some attention devoted to advanced algebra, trigonometry, discrete mathematics and calculus topics. All students will complete a field experience in a mathematics classroom. Credited only on the B.S. in Education (Secondary). A grade of "C" or better is required in this course in order to take MTH 493. May not be taken Pass/Not Pass. Will not count toward the major GPA. 3(2-2) F
MTH 421 Numerical Analysis I
Prerequisite: MTH 280. Recommended Prerequisite: CSC 125 or CSC 130. Solution of systems of linear and nonlinear equations, interpolation, integration, approximation, matrix computations. Problem solution will include the use of software. Identical with CSC 421. Cannot receive credit for both MTH 421 and CSC 421. 3(3-0) D
MTH 422 Numerical Analysis II
Prerequisite: MTH 303 and MTH 421. Solution of initial and boundary value problems in ordinary and partial differential equations, simulation, and optimization. Problem solution will include the use of software. Identical with CSC 422. Cannot receive credit for both MTH 422 and CSC 422. 3(3-0) D
MTH 450 Theory of Interest
Prerequisite: MTH 280. A thorough treatment of the mathematical theory of interest with some discussion of economic aspects such as inflation, risk and uncertainty, and yield curves. Topics include: Annuities, yield rates, amortization, bonds, and sinking funds. 3(3-0) S
MTH 460 College Geometry
Prerequisite: MTH 315. This course examines concepts not usually included in a high school plane geometry course: axiomatic structure, finite geometries; Euclidean geometry axioms, historical development and relationships between various geometries, transformations in two and three dimensions, groups of transformations, convexity, linear programming, geometry of polygons and circles, the nine-point circle, constructions, and an introduction to non-Euclidean geometry. These topics will be developed within a problem solving context and will emphasize construction and communication of mathematical ideas including argument and proof. A dynamic geometry software package, such as Geometer's Sketchpad, will be used as a tool to develop geometric concepts. 3(3-0) F,S
MTH 479 Mathematical Tools and Structures
Prerequisite: MTH 343 or MTH 360. Recommended Prerequisite: 15 hours of elementary or middle school mathematics. This course is designed to coordinate, connect and extend the mathematical experiences of the student who is preparing to teach mathematics in the middle school. Specific course content will include all of the following: an in-depth overview of problem solving and the nature of proof in mathematics and the mathematics classroom; history of the development of mathematics; a variety of mathematical topics such as algebraic structures, discrete mathematics, fractals and chaos, etc.; examination and exploration of mathematical topics that are appropriate and necessary for middle school students to ensure their efficient transition into secondary mathematics. A constant awareness of the use and impact of technology upon the mathematician and the mathematics classroom is explored and integrated throughout the course. The course experience is culminated in the final project, which will be an original, independent investigating of some relevant mathematical topic of interest to the student. This course cannot be used as a mathematics elective for the mathematics major or minor. 3(2-2) F
MTH 493 Supervised Teaching (Secondary Mathematics)
Prerequisite: MTH 409; MTH 410; a grade of "C" or better in all professional education courses; current pre-professional liability insurance; and approval for supervised teaching. Student observes then teaches mathematics classes under the direction of the cooperating teacher and the university supervisor. Student participates in school-related activities appropriate to the assignment and attends all required meetings. In order to receive a grade in this course, the student's professional portfolio must meet or exceed final criteria. Course will not count toward the major GPA. Supplemental course fee. 5-6 F,S
MTH 494 Supervised Teaching (Secondary Mathematics)
Prerequisite: concurrent enrollment in MTH 493. Student observes then teaches under the direction of the cooperating teacher and the university supervisor. Student participates in school-related activities appropriate to the assignment and attends all required meetings. In order to receive a grade in this course, the student's professional portfolio must meet or exceed final criteria. Course will not count toward the major GPA. Supplemental course fee. 5-6 F,S
MTH 496 Clinical Experiences in Teaching II
Prerequisite: EDC 199; and admitted to Teacher Education Program; and grades of "C" or better in all professional education courses; and completion of portfolio checkpoints 1 and 2; and current pre-professional liability insurance; and program approval. This course is designed to meet HB 1711 for student's experience as a Teacher's Aide or Assistant Rule (Rule 5 CSR 80-805.040), to that of conventional student teachers within the same program. It is also designed to support completion of additional clinical requirements within that program including: seminars and workshops, required meetings, school related activities appropriate to the assignment, demonstrated mastery of the MOSTEP quality indicators and completion and overall assessment of a Professional Preparation Portfolio. This course is credited only on B.S. in Education or appropriate masters-level certification programs. Can only receive credit for one of the following: AGE 499, AGT 499, ART 469, BSE 499, COM 493, ECE 499, ELE 499, ENG 434, FCS 498, HST 499, KIN 498, MCL 491, MID 499, MTH 496, MUS 499, SCI 499, SEC 499, SPE 499, THE 493. Supplemental course fee. 4 F,S
MTH 497 Topics
Prerequisite: 90 credit hours. Recommended Prerequisite: completion of or concurrent enrollment in all mathematics courses required for the mathematics major. A written paper on a mathematical topic will be required. The student will be exposed to elementary research topics and to professional opportunities including graduate programs, employment by business, industry and government, and teaching options. Each student will be required to take the mathematics major assessment exam. 1(1-0) F,S
MTH 503 Advanced Calculus I
Prerequisite: MTH 280 and MTH 315. Concepts of limit, continuity, differentiation, Riemann integration, sequences and series, other related topics. May be taught concurrently with MTH 603. Cannot receive credit for both MTH 603 and MTH 503. 3(3-0) F,S
MTH 504 Advanced Calculus II
Prerequisite: MTH 302 and MTH 503. This is a continuation of MTH 503, including sequences and series of functions, uniform convergence, multivariate calculus, and other selected topics. May be taught concurrently with MTH 604. Cannot receive credit for both MTH 604 and MTH 504. 3(3-0) D
MTH 506 Theory of Functions of a Complex Variable
Prerequisite: MTH 280 and MTH 315. Theory of elementary functions-polynomial, trigonometric, exponential, hyperbolic, logarithmic-of a complex variable; their derivatives, integrals; power series; other selected topics. May be taught concurrently with MTH 605. Cannot receive credit for both MTH 605 and MTH 506. 3(3-0) D
MTH 507 Introduction to Partial Differential Equations
Prerequisite: MTH 302 and MTH 303 and MTH 315. Introduction to linear first and second order partial differential equations, including some formal methods of finding general solutions; the Cauchy problem for such equations, existence theorems, formal methods of finding the solution, and the role of characteristics; the classical boundary and initial value problems for the wave equation, heat equation and the boundary value problems for Laplace's equation. May be taught concurrently with MTH 607. Cannot receive credit for both MTH 607 and MTH 507. 3(3-0) D
MTH 532 Introduction to Abstract Algebra
Prerequisite: MTH 302 and MTH 315. It is recommended that students not take MTH 532 before taking MTH 533. Theory of groups, rings, integral domains, fields, polynomials. May be taught concurrently with MTH 631. Cannot receive credit for both MTH 631 and MTH 532. 3(3-0) F
MTH 533 Linear Algebra I
Prerequisite: MTH 280 and MTH 315. Vector spaces, linear independence, inner product spaces, linear transformations, Eigenvectors, diagonalization. May be taught concurrently with MTH 633. Cannot receive credit for both MTH 633 and MTH 533. 3(3-0) F,S
MTH 534 Linear Algebra II
Prerequisite: MTH 533. Topics include eigenvalue problems; Jordan normal form, linear functionals, bilinear forms, quadratic forms, orthogonal and unitary transformations, Markov processes, and other topics selected by the instructor. May be taught concurrently with MTH 634. Cannot receive credit for both MTH 634 and MTH 534. 3(3-0) D
MTH 536 Theory of Numbers
Prerequisite: MTH 302 and MTH 315. Factorization, Euler totient function, congruences, primitive roots, quadratic residues and reciprocity law. May be taught concurrently with MTH 636. Cannot receive credit for both MTH 636 and MTH 536. 3(3-0) D
MTH 537 Applied Abstract Algebra
Prerequisite: MTH 532 or MTH 533. Topics typically include finite fields, block designs, error-correcting codes (nonlinear, linear, cyclic, BCH, and Reed-Solomon codes), cryptography, and computer implementation of these applications. May be taught concurrently with MTH 637. Cannot receive credit for both MTH 637 and MTH 537. 3(3-0) D
MTH 540 Statistical Theory I
Prerequisite: MTH 302 and MTH 315. Random variables, discrete and continuous probability functions, expectation, moment-generating functions, transformation of variables. May be taught concurrently with MTH 640. Cannot receive credit for both MTH 640 and MTH 540. 3(3-0) F
MTH 541 Statistical Theory II
Prerequisite: MTH 540 or equivalent. Estimation, complete and sufficient statistics, maximum likelihood estimation, hypothesis testing, nonparametric statistics. May be taught concurrently with MTH 643. Cannot receive credit for both MTH 643 and MTH 541. 3(3-0) S
MTH 543 Stochastic Modeling
Prerequisite: MTH 540. This course will study applications of probability and statistics from a modeling point of view. Topics include generating functions, branching processes, discrete time Markov chains, classification of states, estimation of transition probabilities, continuous time Markov Chains, Poisson processes, birth and death processes, renewal theory, queuing systems, Brownian motion, and stationary processes. Computer statistical packages will be used. May be taught concurrently with MTH 653. Cannot receive credit for both MTH 653 and MTH 543. 3(3-0) S
MTH 545 Applied Statistics
Prerequisite: 60 credit hours and completion of General Education Mathematics Requirement. A course on statistical concepts, methods and data analysis with emphasis on assumptions and effects on violating those assumptions. Computer statistical packages will be used. Topics include statistical models, random sampling, normal distribution, estimation, confidence intervals, tests and inferences in single and two populations, and n-way analysis of variance. May be taught concurrently with MTH 645. Cannot receive credit for both MTH 645 and MTH 545. 3(3-0) F
MTH 546 Analysis of Variance and Design of Experiments
Prerequisite: MTH 345 or MTH 541 or MTH 545. Topics include analysis of variance, estimation of variance components, randomized incomplete blocks, Latin squares, factorial nested, split-plot designs, fixed, random and mixed models. May be taught concurrently with MTH 646. Cannot receive credit for both MTH 646 and MTH 546. 3(3-0) D
MTH 547 Applied Regression Analysis
Prerequisite: MTH 345 or MTH 541 or MTH 545. Topics include fitting a straight line, matrix models, residuals, selecting best equation, multiple regression, and nonlinear estimation. May be taught concurrently with MTH 647. Cannot receive credit for both MTH 647 and MTH 547. 3(3-0) D
MTH 548 Applied Time Series Analysis
Prerequisite: MTH 540; and MTH 345 or MTH 541 or MTH 545. This course will study the analysis of data observed at different points of time. Topics include stationary and non-stationary time series models, linear time series models, autoregressive models, autocorrelations, partial autocorrelations, moving average models, ARMA models, ARIMA models, forecasting, prediction limits, model specification, least square estimation, and seasonal time series models. Computer statistical packages will be used. May be taught concurrently with MTH 648. Cannot receive credit for both MTH 648 and MTH 548. 3(3-0) F
MTH 567 Introduction to Non-Euclidean Geometry
Prerequisite: MTH 302 and MTH 315. Development of non-Euclidean geometries; intensive study of hyperbolic geometry. May be taught concurrently with MTH 667. Cannot receive credit for both MTH 667 and MTH 567. 3(3-0) S
MTH 570 Combinatorial Analysis
Prerequisite: MTH 280 and MTH 315. An introduction to combinatorial analysis including enumeration methods, combinatorial identities with applications to the calculus of finite differences and difference equations. May be taught concurrently with MTH 670. Cannot receive credit for both MTH 670 and MTH 570. 3(3-0) D
MTH 575 History of Mathematics
Prerequisite: MTH 302 and MTH 315. Development of mathematics through the calculus; solution of problems of historical interest, problems which use historically significant techniques; problems whose solutions illuminate significant mathematical characteristics of elementary mathematics. May be taught concurrently with MTH 675. Cannot receive credit for both MTH 675 and MTH 575. 3(3-0) F,S
MTH 580 Applied Mathematics
Prerequisite: MTH 303 and MTH 533. An introduction to several areas of applied mathematics including control theory, optimization, modeling of population dynamics, modeling of mathematical economics, minimax and game theory, and calculus of variations. May be taught concurrently with MTH 680. Cannot receive credit for both MTH 680 and MTH 580. 3(3-0) D
MTH 582 Introductory Topology
Prerequisite: MTH 302 and MTH 315. Properties of abstract metric and topological spaces; discussion of concepts of compactness and connectedness. May be taught concurrently with MTH 682. Cannot receive credit for both MTH 682 and MTH 582. 3(3-0) D
MTH 596 Readings
Prerequisite: permission of the department head. Periodic conferences with an advisor are required. May be repeated to a total of 6 hours. May be taught concurrently with MTH 696. Cannot receive credit for both MTH 696 and MTH 596. 1-3 F,S
MTH 603 Advanced Calculus I
Prerequisite: MTH 280 and MTH 315. Concepts of limit, continuity, differentiation, Riemann integration, sequences and series, other related topics. May be taught concurrently with MTH 503. Cannot receive credit for both MTH 503 and MTH 603. 3(3-0) F,S
MTH 604 Advanced Calculus II
Prerequisite: MTH 302; and MTH 503 or MTH 603. This is a continuation of MTH 603, including sequences and series of functions, uniform convergence, multivariate calculus, and other selected topics. May be taught concurrently with MTH 504. Cannot receive credit for both MTH 504 and MTH 604. 3(3-0) D
MTH 605 Theory of Functions of a Complex Variable
Prerequisite: MTH 280 and MTH 315. Theory of elementary functions-polynomial, trigonometric, exponential, hyperbolic, logarithmic-of a complex variable; their derivatives, integrals; power series; other selected topics. May be taught concurrently with MTH 506. Cannot receive credit for both MTH 506 and MTH 605. 3(3-0) D
MTH 607 Introduction to Partial Differential Equations
Prerequisite: MTH 302 and MTH 303 and MTH 315. Introduction to linear first and second order partial differential equations, including some formal methods of finding general solutions; the Cauchy problem for such equations, existence theorems, formal methods of finding the solution, and the role of characteristics; the classical boundary and initial value problems for the wave equation, heat equation and the boundary value problems for Laplace's equation. May be taught concurrently with MTH 507. Cannot receive credit for both MTH 507 and MTH 607. 3(3-0) D
MTH 631 Introduction to Abstract Algebra
Prerequisite: MTH 302 and MTH 315. Theory of groups, rings, integral domains, fields, polynomials. May be taught concurrently with MTH 532. Cannot receive credit for both MTH 532 and MTH 631. 3 (3-0) F
MTH 633 Linear Algebra I
Prerequisite: MTH 280 and MTH 315. Vector spaces, linear independence, inner product spaces, linear transformations, Eigenvectors, diagonalization. May be taught concurrently with MTH 533. Cannot receive credit for both MTH 533 and MTH 633. 3(3-0) F,S
MTH 634 Linear Algebra II
Prerequisite: MTH 533 or MTH 633. Topics include eigenvalue problems; Jordan normal form, linear functionals, bilinear forms, quadratic forms, orthogonal and unitary transformations, Markov processes, and other topics selected by the instructor. May be taught concurrently with MTH 534. Cannot receive credit for both MTH 534 and MTH 634. 3 (3-0) D
MTH 636 Theory of Numbers
Prerequisite: MTH 302 and MTH 315. Factorization, Euler totient function, congruences, primitive roots, quadratic residues and reciprocity law. May be taught concurrently with MTH 536. Cannot receive credit for both MTH 536 and MTH 636. 3(3-0) D
MTH 637 Applied Abstract Algebra
Prerequisite: MTH 532 or MTH 632 or MTH 533 or MTH 633. Topics typically include finite fields, block designs, error-correcting codes (nonlinear, linear, cyclic, BCH, and Reed-Solomon codes), cryptography, and computer implementation of these applications. May be taught concurrently with MTH 537. Cannot receive credit for both MTH 537 and MTH 637. 3 (3-0) D
MTH 640 Statistical Theory I
Prerequisite: MTH 302 and MTH 315. Random variables, discrete and continuous probability functions, expectation, moment-generating functions, transformation of variables. May be taught concurrently with MTH 540. Cannot receive credit for both MTH 540 and MTH 640. 3(3-0) F
MTH 643 Statistical Theory II
Prerequisite: MTH 540 or MTH 640 or equivalent. Estimation, complete and sufficient statistics, maximum likelihood estimation, hypothesis testing, nonparametric statistics. May be taught concurrently with MTH 541. Cannot receive credit for both MTH 541 and MTH 643. 3(3-0) S
MTH 645 Applied Statistics
A course on statistical concepts, methods and data analysis with emphasis on assumptions and effects on violating those assumptions. Computer statistical packages will be used. Topics include statistical models, random sampling, normal distribution, estimation, confidence intervals, tests and inferences in single and two populations, and n-way analysis of variance. May be taught concurrently with MTH 545. Cannot receive credit for both MTH 545 and MTH 645. 3(3-0) F
MTH 646 Analysis of Variance and Design of Experiments
Prerequisite: MTH 345 or MTH 541 or MTH 643 or MTH 545 or MTH 645. Topics include analysis of variance, estimation of variance components, randomized incomplete blocks, Latin squares, factorial nested, split-plot designs, fixed, random and mixed models. May be taught concurrently with MTH 546. Cannot receive credit for both MTH 546 and MTH 646. 3(3-0) D
MTH 647 Applied Regression Analysis
Prerequisite: MTH 345 or MTH 541 or MTH 643 or MTH 545 or MTH 645. Topics include fitting a straight line, matrix models, residuals, selecting best equation, multiple regression, and nonlinear estimation. May be taught concurrently with MTH 547. Cannot receive credit for both MTH 547 and MTH 647. 3(3-0) D
MTH 648 Applied Time Series Analysis
Prerequisite: MTH 540 or MTH 640; and MTH 345 or MTH 541 or MTH 643 or MTH 545 or MTH 645. This course will study the analysis of data observed at different points of time. Topics include stationary and non-stationary time series models, linear time series models, autoregressive models, autocorrelations, partial autocorrelations, moving average models, ARMA models, ARIMA models, forecasting, prediction limits, model specification, least square estimation, and seasonal time series models. Computer statistical packages will be used. May be taught concurrently with MTH 548. Cannot receive credit for both MTH 548 and MTH 648. 3(3-0) F
MTH 653 Stochastic Modeling
Prerequisite: MTH 540 or MTH 640. This course will study applications of probability and statistics from a modeling point of view. Topics include generating functions, branching processes, discrete time Markov chains, classification of states, estimation of transition probabilities, continuous time Markov Chains, Poisson processes, birth and death processes, renewal theory, queuing systems, Brownian motion, and stationary processes. Computer statistical packages will be used. May be taught concurrently with MTH 543. Cannot receive credit for both MTH 543 and MTH 653. 3(3-0) S
MTH 667 Introduction to Non-Euclidean Geometry
Prerequisite: MTH 302 and MTH 315. Development of non-Euclidean geometries; intensive study of hyperbolic geometry. May be taught concurrently with MTH 567. Cannot receive credit for both MTH 567 and MTH 667. 3(3-0) S
MTH 670 Combinatorial Analysis
Prerequisite: MTH 280 and MTH 315. An introduction to combinatorial analysis including enumeration methods, combinatorial identities with applications to the calculus of finite differences and difference equations. May be taught concurrently with MTH 570. Cannot receive credit for both MTH 570 and MTH 670. 3(3-0) D
MTH 675 History of Mathematics
Prerequisite: MTH 302 and MTH 315. Development of mathematics through the calculus; solution of problems of historical interest, problems which use historically significant techniques; problems whose solutions illuminate significant mathematical characteristics of elementary mathematics. May be taught concurrently with MTH 575. Cannot receive credit for both MTH 575 and MTH 675. 3(3-0) F,S
MTH 680 Applied Mathematics
Prerequisite: MTH 303; and MTH 533 or MTH 633. An introduction to several areas of applied mathematics including control theory, optimization, modeling of population dynamics, modeling of mathematical economics, minimax and game theory, and calculus of variations. May be taught concurrently with MTH 580. Cannot receive credit for both MTH 580 and MTH 680. 3(3-0) D
MTH 682 Introductory Topology
Prerequisite: MTH 302 and MTH 315. Properties of abstract metric and topological spaces; discussion of concepts of compactness and connectedness. May be taught concurrently with MTH 582. Cannot receive credit for both MTH 582 and MTH 682. 3(3-0) D
MTH 696 Readings
Prerequisite: permission of department head. Periodic conferences with an advisor are required. May be repeated to a total of 6 hours. May be taught concurrently with MTH 596. Cannot receive credit for both MTH 596 and MTH 696. 1-3 F,S
MTH 701 Real Analysis
Prerequisite: MTH 503 or MTH 603. Topics include countable and uncountable sets, convergence, Lebesgue measure on the real line, the development of the Lebesgue integral, the fundamental theorem of calculus and Lp spaces. 3(3-0) D
MTH 702 Real and Abstract Analysis
Prerequisite: MTH 701. A study of the theory of abstract measures and integration, and an introduction to functional analysis. 3(3-0) D
MTH 706 Complex Analysis
Prerequisite: MTH 503 or MTH 603. Analytic functions, power series, Cauchy's theorem and its applications, residues. Selected topics from conformal mapping, analytic continuation, harmonic functions, Fourier series, and Dirichlet problems. 3 (3-0) D
MTH 710 Contemporary Mathematics for Secondary Teachers
Prerequisite: MTH 460; and MTH 533 or MTH 633. Reports, research, and recent trends in secondary mathematics; recently developed programs in algebra and geometry. 3(3-0) D
MTH 721 Theory of Ordinary Differential Equations I
Prerequisite: MTH 303; and MTH 503 or MTH 603. Existence and uniqueness theorems for first order differential equations; system of linear and nonlinear differential equations; continuous dependence of solutions on initial conditions and parameters; behavior of solutions of equations with constant coefficients, study of Lyapunov's theorems on stability; introduction to boundary value problems. 3(3-0) D
MTH 722 Theory of Ordinary Differential Equations II
Prerequisite: MTH 721. Theory and application of boundary value problems; periodic solutions; linear systems with periodic coefficients (Floquet theory); two dimensional (autonomous) systems limit cycles. Differential equations under Caratheodory conditions; theory of differential and integral inequalities and other selected topics, if time permits. 3(3-0) D
MTH 730 Abstract Algebra I
Prerequisite: MTH 532 or MTH 631; and MTH 533 or MTH 633. Topics from group theory will include Cayley's Theorem, finite abelian groups, Cauchy's Theorem, the Sylow Theorems, and free groups. 3(3-0) D
MTH 732 Abstract Algebra II
Prerequisite: MTH 730. Topics from ring theory will include the Chinese Remainder Theorem, Euclidean domains, rings of fractions, PID's and UFD's, and polynomial rings. Topics from field theory will include splitting fields, Galois Theory, separability, normality, and finite fields. 3(3-0) D
MTH 741 Statistical Inference I
Prerequisite: MTH 540 or MTH 640 or equivalent. Formulation of statistical models, sufficiency and exponential families, methods of estimation, optimality theory. Uniformly minimum variance unbiased estimators, Fisher information, Cramer/Rao inequality, large sample theory, Bayes procedures and minimax procedures. 3(3-0) D
MTH 742 Statistical Inference II
Prerequisite: MTH 741. Confidence intervals and regions, hypothesis testing, the Neyman-Pearson framework, uniformly most powerful tests, likelihood ratio criteria, power functions, similar regions, invariant tests, distribution free tests. 3(3-0) D
MTH 781 Topology
Point set topology in abstract spaces. 3(3-0) D
MTH 791 Seminar I
Seminar in Mathematics. 2(2-0) F,S
MTH 792 Seminar II
Seminar in Mathematics. 2(2-0) F,S
MTH 796 Science Internship
Completion of an internship project (at least 80 hours per credit hour) at a discipline-related business, nonprofit organization, or government agency, approved and supervised by both the departmental and internship advisors. Includes a formal report in the appropriate professional format, and an oral presentation at an approved venue. Graded Pass/Not Pass only. No more than 6 hours may count toward a masters degree. This course may only be counted toward the PSM designation of the MNAS degree. 1-6 F,S,Su
MTH 797 Topics
Prerequisite: permission of department head. Material covered determined by the interests and backgrounds of the students. May be repeated for a maximum of 6 hours. 3(3-0) D
MTH 798 Research
Supervised research in special areas of mathematics. May be repeated. May not be counted toward the Master of Science in Education degree. 1-6 F,S
MTH 799 Projects
Independent research for thesis preparation. 1-6 F,S