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MATH017: Elementary Algebra (3 hours)
A beginning course in algebra designed to prepare the student for MATH 019 Intermediate Algebra. Offered on a PassNo Credit basis only. Not counted toward the total hours required for a degree.
MATH019: Intermediate Algebra (4 hours)
Designed to prepare the student for Math 110 College Algebra with Review. Not counted toward the total hours required for a degree.
MATH110: College Algebra with Review (5 hours)
(Only 3 hours count toward a degree). Operations with algebraic expressions; linear and quadratic functions; graphs of polynomial and rational functions; systems of equations; logarithmic and exponential functions; arithmetic and geometric progressions; permutations and combinations. Slower paced than MATH 113 College Algebra, but covers the same material. Not recommended for those having four years of high school mathematics, including two units of algebra, one unit of geometry, and onehalf unit of advanced or senior mathematics. Closed to students with a grade of "C" or better in a course with number higher than 110. Prerequisite: Grade of "C" or better in MATH 019 Intermediate Algebra or two units of high school algebra.
MATH113: College Algebra (3 hours)
Operations with algebraic expressions; linear and quadratic functions; graphs of polynomial and rational functions; systems of equations; logarithmic and exponential functions; arithmetic and geometric progressions; permutations and combinations. Not recommended for those having four years of high school mathematics, including two units of algebra, one unit of geometry, and onehalf unit of advanced or senior mathematics. Closed to students with credit in MATH 110 College Algebra with Review or MATH 126 PreCalculus or MATH 153 Introduction to Analytic Processes, or students with a letter grade of "C" or better in MATH 150 Calculus I. Prerequisite: Grade of "B" or better in MATH 019 Intermediate Algebra or twp units of high school algebra.
MATH114: Elements of Technical Analysis (3 hours)
Basic mathematics for technology students. Special emphasis on units of measurement, accuracy, use of calculators, beginning algebra, solutions of equations, use of graphs. Open only to candidates for the Associate of Applied Science degree. Closed to students with credit in MATH 113 College Algebra.
MATH122: Plane Trigonometry (3 hours)
The trigonometric functions; solutions of right and oblique triangles; identities; properties of circular functions; and complex numbers; applications. Prerequisite: MATH 110 College Algebra with Review or MATH 113 College Algebra. Closed to students with credit in MATH 126 PreCalculus.
MATH126: PreCalculus (4 hours)
PreCalculus properties of the real number system, limits, functions, continuity, trigonometry, and graphics. Not open to students with credit in MATH 113 College Algebra, MATH 114 Elements of Technical Analysis, MATH 122 Plane Trigonometry, MATH 150 Calculus I, or MATH 153 Introduction to Analytic Processes. Prerequisite: Two units of high school algebra and trigonometry or permission of instructor.
MATH133: Quantitative Reasoning (3 hours)
Designed for the students NOT planning to major in a field that requires advanced mathematical skills. Prepares students for the mathematics encountered in other college courses that use quantitative reasoning. Emphasis on developing critical thinking and quantitative reasoning skills needed to understand major issues in society. Prerequisite: MATH 019 Intermediate Algebra or one unit of high school algebra.
MATH143: Elementary Statistics (3 hours)
Basic concepts of statistics and probability applicable to all disciplines. Topics include data analysis, probability, discrete and continuous distributions, sampling, and statistical inference. Not open to students with credit in MATH 543 Probability and Statistics. Prerequisite: MATH 019 Intermediate Algebra or one unit of high school algebra.
MATH150: Calculus I (5 hours)
Students with credit in MATH 153 Introduction to Analytic Processes receive only 3 hours credit. Functions, limits, derivatives and integrals. Applications to science, business, and technology. Prerequisite: MATH 126 PreCalculus, or MATH 122 Plane Trigonometry and MATH 110 College Algebra with Review, or MATH 122 Plane Trigonometry and MATH 113 College Algebra, or permission of instructor. You must have a grade of C or higher in all courses used to meet this requirement.
MATH153: Introduction to Analytic Processes (3 hours)
Topics in differential and integral calculus and linear algebra for business applications. Closed to students with credit in MATH 150 Calculus I. Prerequisite: Grade of C or higher in MATH 110 College Algebra with Review or MATH 113 College Algebra or MATH 126 PreCalculus.
MATH155: Calculus II (5 hours)
Continuation of MATH 150 Calculus I. Differentiation and integration techniques, transformations, polar coordinates, conics, transcendental functions, series and vectors. Prerequisite: Grade of C or higher in MATH 150 Calculus I or permission of instructor.
MATH170: Mathematical Explorations. (13 hour)
Directed class or seminar at the beginning college level. May be repeated.
MATH204: Mathematics for Education I (3 hours)
Prepares prospective elementary and middle school teachers to know, understand, and use the basic principles and concepts of mathematics. These will include problem solving strategies, functions, sequences, set theory, probability theory, and statistics concepts. Closed to students with credit in MATH 150 Calculus I except students who are seeking a Bachelor of Science in Education degree.
MATH212: Matrix Algebra (2 hours)
Algebra of matrices, determinants, the inverse and rank of a matrix, linear vector space concepts, and Eigen values. Linear programming. Prerequisite: MATH 110 College Algebra with Review or MATH 113 College Algebra or MATH 126 PreCalculus.
MATH253: Calculus III (3 hours)
Continuation of MATH 155 Calculus II. Vectors, solid analytic geometry, multivariable and vector calculus, and multiple integration. Prerequisite: MATH 155 Calculus II.
MATH304: Mathematics for Education II (3 hours)
Prepares prospective elementary and middle school teachers to know, understand, and use the basic principles and concepts of mathematics involving the properties of whole numbers, integers, rational numbers, and real numbers and the fundamental models for their operations. Additionally, topics in measurement, and geometric concepts, such as properties of two and threedimensional shapes, congruency, similarity, and transformations will be explored. Grade of "C" or higher in MATH 204 Mathematics for Education I.
MATH307: Geometry for Education (3 hours)
An introduction to geometry concepts from an informal, intuitive approach. Exploration of geometry from a historical, Euclidean point of view, incorporating concepts in both two and three dimensions. The development of the measurement system, to include both customary and metric systems. Transformations of twodimensional objects through reflections, rotations, and translations. Integrated throughout the course will be a focus on the diverse cultures that have contributed to Mathematics and Geometry in particular. Includes handson activities and technologies such as dynamic software, graphing calculators, and the Internet. Prerequisite: C or better in MATH 204 Mathematics for Education I or C or better in both MATH 143 Elementary Statistics and MATH 126 PreCalculus.
MATH407: Cultural Mathematics (1 hour)
A look at the development and role of mathematics in a variety of cultures, including key moments in the history of mathematics, contributions of selected individuals, and contributions of different cultures in the historical development of mathematics. Prerequisite/Corequisite: MATH 204 Mathematics for Education I.
MATH471: Manipulatives for Teaching Mathematics (1 hour)
The use of mathematical manipulatives in teaching. Manipulatives to include geoboard, Lenart sphere, algebra tiles, Mira.
MATH472: Calculators in Teaching Mathematics (1 hour)
Uses of graphing calculators in teaching. Programming activities on the calculator will be explored. Prerequisite: MATH 150 Calculus I.
MATH473: Mathematical Software (1 hour)
Uses of mathematical software in teaching. Programming activities using current software packages will be explored. Prerequisite: MATH 150 Calculus I.
MATH479: Techniques for Teaching Mathematics (1,2 or 3 hour)
Techniques, methods, and course content used in teaching mathematics in the secondary school. Offered by the Department of Mathematics. Concurrent, one hour weekly departmental tutorial service required. To be taken before the professional semester. Demonstrable skill at the College Algebra level is required for passing the class. Prerequisite: Admission to teacher education and PSYCH 357 Educational Psychology. Corequisite: MATH 480 Clinical Experience in Secondary Mathematics Teaching. May be taken for honors.
MATH480: Clinical Experience in Secondary Mathematics Teaching (1 hour)
Clinical field experience in the secondary classroom to implement competencies addressed in MATH 479 Techniques for Teaching Mathematics. Corequisite: MATH 479 Techniques for Teaching Mathematics.
MATH503: Introduction to Advanced Mathematical Concepts for Education (3 hours)
This course is an introduction into advanced topics in mathematics including concepts of: matrices, discrete and continuous functions, calculus, and graph theory. The topics will be introduced using appropriate technology. Prerequisite: MATH 126 PreCalculus, MATH 472 Calculators in Teaching Mathematics, and MATH 473 Mathematical Software.
MATH513: Discrete Structures (3 hours)
Elements of propositional logic, sets, algorithms, number theory, proofs, counting, mappings, relations, trees, graphs, digraphs, and Boolean algebra. May be taken for honors.
MATH543: Probability and Statistics (3 hours)
Probability theory, random variables, discrete and continuous distributions and density functions, mathematical expectation, moment generating functions. Prerequisite: MATH 155 Calculus II. May be taken for honors.
MATH553: Differential Equations (3 hours)
Standard types of ordinary equations of the first and second order, linear equations with constant coefficient solution by series, and applications to geometry and physical science. Prerequisite: MATH 253 Calculus III and MATH 212 Matrix Algebra. Offered spring semester.
MATH557: Introduction to Analysis (3 hours)
A prooforiented treatment of the real number system, sequences, the topology of real numbers, continuous functions, differentiation, and integration. Prerequisites: MATH 253 Calculus III. May be taken for honors. Offered fall semester.
MATH558: Vector Calculus (3 hours)
nspace. Subspaces and bases. Eigeonvalues. Diagonalizing a matrix. Chain rule. Taylor's formula. Optimization. LaGrange multipliers. Gradient, curl and divergence. Green's, Stoke's, and Gauss' theorems. Curvilinear coordinates. Prerequisites: MATH 253 Calculus III and either MATH 212 Matrix Algebra or MATH 617 Linear Algebra. May be taken for honors. Offered concurrently with MATH 758 Vector Calculus. Offered fall semester.
MATH569: Numerical Analysis (3 hours)
Numerical methods for interpolation, integration, systems of linear equations, nonlinear equations, and ordinary differential equations. Error analysis. Several programming exercises. Prerequisites: MATH 155 Calculus II, MATH 212 Matrix Algebra and programming ability. May be taken for honors. Offered fall semester.
MATH579: Supervised Student Teaching and FollowUp of Teachers (2 hours)
Departmental representatives will visit each student teacher during the professional semester. Additionally, departmental representatives will follow up with each area student during the first year of teaching with assistance and support. Concurrent enrollment in the professional semester is required.
MATH607: History of Mathematics (3 hours)
The practice of mathematics in ancient, medieval, and modern times. Current developments in the philosophy and foundations of mathematics. Social and institutional factors. Standards of rigor. Prerequisite: MATH 150 Calculus I. Offered concurrently with MATH 707 History of Mathematics. May be taken for honors. Offered fall semester.
MATH613: Abstract Algebra (3 hours)
Elements of group theory and ring theory; subgroups, cyclic and permutation groups, homomorphisms, quotient groups, isomorphism theorems, subrings, and ideals. Applications to modular arithmetic, partitions and equivalence relations, polynomial rings, complex numbers, integral domains, and fields. Prerequisite: MATH 617 Linear Algebra or MATH 513 Discrete Structures. May be taken for honors. Offered fall semester.
MATH617: Linear Algebra (3 hours)
Gaussian elimination; vector spaces, subspaces; bases and dimension; linear transformation; orthogonal projections and least squares; determinants, eigenvalues and eigenvectors; positive definite matrices; diagonalization of matrices and canonical form. Prerequisite: MATH 212 Matrix Algebra. Offered concurrently with MATH 717 Linear Algebra. May be taken for honors. Offered spring semester.
MATH627: Linear Optimization Models (3 hours)
Simplex algorithm. Topics such as duality, revised and dual simplex algorithms, sensitivity analysis, transportation and assignment problems, network and flows. Prerequisite: MATH 212 Matrix Algebra or MATH 617 Linear Algebra. May be taken for honors. Offered concurrently with MATH 727 Linear Optimization Models. Offered fall semester.
MATH635: The Geometry of SpaceTime (3 hours)
Definition of (n+1) spacetime. Development of the Minkowski inner product as a means of preserving Maxwell's Equations. Geometric applications to the Special Theory of Relativity. Isometries of Minkowski spacetime. Offered concurrently with MATH 735 The Geometry of SpaceTime. Prerequisite: Prerequisite or corequisite MATH 253 Calculus II.
MATH636: Basic Concepts of Geometry (3 hours)
Elementary geometry from an advanced standpoint with emphasis on structure and proof. Metric and synthetic approaches to two and threedimensional Euclidean geometries; constructions; and nonEuclidean geometries. May be taken for honors. Offered spring semester.
MATH643: Mathematical Statistics (3 hours)
Sampling theory, statistical inference: estimation and tests of hypotheses, multivariate distributions. Prerequisites: MATH 253 Calculus III and MATH 543 Probability and Statistics. May be taken for honors. Offered concurrently with MATH 743 Mathematical Statistics. Offered spring semester.
MATH646: Statistical Methods I (3 hours)
Applied statistics, methods of estimation and tests of hypotheses, categorical data, introduction to analysis of variance, correlation, regression, and experimental design. Prerequisite: MATH 543 Probability and Statistics. Offered concurrently with MATH 746 Statistical Methods I. May be taken for honors. Fall, odd numbered years.
MATH656: Mathematical Modeling (3 hours)
Problems arising from areas and disciplines other than mathematics. Description of the problem at its source, analysis of the key factors and simplifying assumptions, presentation of the problem in a tractable form, solution and testing of the selected model. Prerequisite: MATH 155 Calculus II and MATH 212 Matrix Algebra. May be taken for honors. Offered fall semester.
MATH658: Financial Mathematics (3 hours)
Mathematics of simple and compound interest, time value of money, annuities, cash flow analysis, loans, bonds, options, forwards, futures, swaps, hedging strategies, and risk management. Prerequisite: MATH 155 Calculus II. Spring.
MATH670: Topics in Mathematics: (____) (13 hour)
Directed class or seminar study at the undergraduate level. May be repeated. May not be taken for graduate credit. Prerequisite. Permission of instructor. A pass/fail grading system may be used.
MATH673: Seminar: Actuarial Exam Number I (1 hour)
Directed reading, problem solving, and student presentations with the purpose of preparing students for the first actuarial examination. Must score at least a ô4ö on Exam 1/P administered by the Society of Actuaries and the Casualty Actuarial Society. Offered on a PassFail basis only.
MATH674: Seminar: Actuarial Exam Number 2 (1 hour)
Directed reading, problem solving, and student presentations with the purpose of preparing students for the second actuarial examination. Must score at least a ô4ö on Exam 2/FM administered by the Society of Actuaries and the Casualty Actuarial Society. Offered on a PassFail basis only. Prerequisite or Corequisite: MATH 658 Financial Mathematics.
MATH679: Mathematics Education Seminar (1 hour)
Issues related to the professional preparation of secondary mathematics teachers and an indepth examination of critical issues in public education. Prerequisite or Corequisite: MATH 479 Techniques for Teaching Mathematics.
MATH687: Reading in Mathematics (13 hour)
Directed reading for superior undergraduate students. May be repeated for a maximum of 3 hours. Prerequisite: Permission of instructor.
MATH699: Senior Seminar (1 hour)
Activities include: student presentations, review of major courses, and assessment. Required of all senior mathematics majors, both teaching and nonteaching. Should be taken the senior year.
MATH705: Topics in Elementary Mathematics (___) (13 hour)
Topics relevant to the elementary classroom will be developed in laboratory or seminar setting. May be repeated if topic is different. A maximum of 3 hours credit can be applied toward a degree. Prerequisite: Elementary teaching experience.
MATH707: History of Mathematics (3 hours)
The practice of mathematics in ancient, medieval, and modern times. Current developments in the philosophy and foundations of mathematics. Social and institutional factors. Standards of rigor. Prerequisite: MATH 150 Calculus I. Offered concurrently with MATH 607 History of Mathematics. May be taken for honors.
MATH717: Linear Algebra (3 hours)
Gaussian elimination; vector spaces; subspaces, bases and dimension; linear transformations; orthogonal projections and least squares; determinants; eigenvalues and eigenvectors; positive definite matrices; diagonalization of matrices and canonical form. Prerequisite: MATH 212 Matrix Algebra. Offered concurrently with MATH 617 Linear Algebra. May be taken for honors. Spring.
MATH726: Introduction to Stochastic Processes (3 hours)
Stochastic processes, random walks, renewal theory, discrete and continuous time, Markov chains, queues and Brownian motion, joint distributions, conditional distributions, conditioning techniques, difference and differential equations, ztransforms, and Laplace transforms. Prerequisites: MATH 543 Probability and Statistics. May be taken for honors.
MATH727: Linear Optimization Models (3 hours)
Simplex algorithm. Topics such as duality, revised and dual simplex algorithms, sensitivity analysis, transportation and assignment problems, network and flows. Prerequisite: MATH 212 Matrix Algebra. Offered concurrently with MATH 627 Linear Optimization Models. May be taken for honors.
MATH728: The Mathematics of Financial Derivatives (3 hours)
Introduction to financial derivatives, binomial options, stochastic calculus, the BlackScholes model, Deltahedging, exotic options, and other related topics. Prerequisite: MATH 543 Probability and Statistics. May be taken for honors. Spring.
MATH733: Topology (3 hours)
Topological structures: Open sets, neighborhoods, closed sets, subspaces, product spaces, quotient spaces; separation axioms; limits and continuity, filters and sequences; compactness and connectedness; countability axioms and separability; metric spaces. May be taken for honors.
MATH735: The Geometry of SpaceTime (3 hours)
Definition of (n+1) spacetime. Development of the Minkowski inner product as a means of preserving Maxwell's Equations. Geometric applications to the Special Theory of Relativity. Isometries of Minkowski spacetime. Prerequisite or corequisite: MATH 253 Calculus II.
MATH743: Mathematical Statistics (3 hours)
Sampling theory, statistical inference: estimation and tests of hypotheses, multivariate distributions. Prerequisites: MATH 253 Calculus III and MATH 543 Probability and Statistics. Offered concurrently with MATH 643 Mathematical Statistics. May be taken for honors.
MATH746: Statistical Methods I (3 hours)
Applied statistics, methods of estimation and tests of hypotheses, categorical data, introduction to analysis of variance, correlation, regression, and experimental design. Prerequisite: MATH 543 Probability and Statistics. Offered concurrently with MATH 646 Statistical Methods I. May be taken for honors.
MATH749: Time Series Analysis (3 hours)
Autocorrelation, moving averages, smoothing methods, multiple regression, regression of time series data, and ARIMA methodology. Prerequisite: MATH 543 Probability and Statistics.
MATH755: Elementary Partial Differential Equations (3 hours)
Fourier series, Legendre polynomials, Bessel functions. Separation of variables. Heat, wave and potential equations. Finite difference methods. Ritz and Galerkin methods. Finite element method. Prerequisite: MATH 553 Differential Equations. May be taken for honors. Offered spring semester.
MATH757: Analysis II (3 hours)
A theoretical treatment of the calculus of several variables. Implicit function theorem and inverse function theorem. Prerequisite: MATH 557 Analysis I. May be taken for honors. Offered spring semester.
MATH758: Vector Calculus (3 hours)
nspace. Subspaces and bases. Eigenvalues. Diagonalizing a matrix. Chain rule. Taylor's formula. Optimization. LaGrange multipliers. Gradient, curl and divergence. Green's, Stoke's, and Gauss' theorems. Curvilinear coordinates. Prerequisites: MATH 253 Calculus III and either MATH 212 Matrix Algebra or MATH 617 Linear Algebra. Offered concurrently with MATH 558 Vector Calculus. May be taken for honors.
MATH763: Numerical Linear Algebra (3 hours)
Numerical linear algebra: Gaussian elimination, orthogonal transformations, least squares, algebraic Eigen value problem, iterative methods, numerical solution of partial differential equations. Prerequisites: MATH 212 Matrix Algebra or MATH 617 Linear Algebra. May be taken for honors. Offered spring semester.
MATH770: Topics in Mathematics: (____) (13 hour)
Directed class or seminar study. May be repeated if topics are different. A maximum of six hours can be applied toward a degree. Prerequisite: Permission of instructor.
MATH773: Expository Mathematics: (____) (0.56 hour)
Analysis and synthesis of expository mathematics. Role of key mathematical concepts, teaching techniques, and/or learning devices in modern mathematics. May be repeated for a maximum of 6 hours.
MATH813: Algebra I (3 hours)
Theory of rings and modules; polynomial rings, homomorphisms, quotient rings, ideals, rings of fractions, integral domains, and modules. Prerequisite: MATH 613 Abstract Algebra.
MATH836: Advanced Geometry (3 hours)
Development of nonEuclidean geometries and advanced Euclidean topics.
MATH840: Topics in Statistics (____) (13 hour)
Directed class or seminar study. Prerequisite: Permission of instructor. May be repeated for a maximum of 6 hours.
MATH853: Functions of a Complex Variable (3 hours)
General theory of analytic functions, conformal representation and mapping, trigonometric and hyperbolic functions, expansions in power series, definite integrals, and calculus of residues. Prerequisites: MATH 557 Analysis I and permission of instructor.
MATH856: Linear Methods in Analysis (3 hours)
Pointwise and uniform convergence. Inner product spaces, Hilbert spaces, orthogonal spaces, and projectors. Complete orthonormal sequences. Generalized Fourier sequences, Fourier series, Fourier transforms, and discrete Fourier theorems. The RiemannLebesgue Lemma. Wavelets. The properties of the Lebesgue integral. Prerequisite: MATH 557 Analysis I and permission of instructor.
MATH863: Seminar in Mathematics (____) (16 hour)
Intensive study in a selected area of mathematics. May be repeated for a maximum of 6 hours.
MATH870: Topics in Mathematics: (____) (13 hour)
Directed class or seminar study. May be repeated if topics are different. A maximum of 6 hours can be applied toward a degree. Prerequisite: Permission of instructor.
MATH871: Seminar: Teaching of Mathematics (13 hour)
Problems in teaching modern concepts; trends and curriculum changes; evaluation of student progress. Prerequisite: Permission of instructor. May be repeated for a maximum of 3 hours.
MATH880: Advanced Reading in Mathematics (13 hour)
Directed reading. May be repeated for a maximum of six hours. Prerequisite: Permission of instructor.
MATH890: Research and Thesis (15 hour)
A total of 35 hours credit is required. May be repeated for a maximum of 5 hours.
MATH891: Research Problem (15 hour)
A total of 35 hours credit is required. May be repeated for a maximum of 5 hours.
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