# Course Descriptions

MAE - Mathematics Education ♦ MAT - Mathematics ♦ STA - Statistics

**MAE 301: Mathematics for Elementary Teachers III **(3)

*Prerequisites: MAT 201 and one of MAT 107, 108, 109, or 124, 211, or 261, with a C or better in each. Pre/Co- requisite: MAT 202*. The course emphasizes conceptual understanding and communication of mathematical topics in the K – 5 Kentucky Core Academic Standards through problem solving and technology. *Credit does not apply toward Middle Grades Mathematics Teaching degree content requirements*.

**MAE 305: Problem Solving and Technology **(3)

*Prerequisite: MAT 201. Pre/Corequisite: MAT 202*. The course will enable students to use technology effectively in the mathematics classroom and explore topics to deepen mathematical understanding.

**MAE 475: Math Teaching Senior Seminar** (3) I

* Formerly MAT 475*.

*Prerequisites: admission to teacher education program and a minimum 2.75 GPA in major and supporting course requirements for MAT teaching major*. Emphasis on the interrelationship between mathematical topics. Problem solving with technology. Oral presentation on a topic selected jointly with the instructor.

*Credit will not be awarded for both MAE 475 and MAT 475.*

**MAE 480: Math Ed Seminar: ____.** (1 - 3)

*Prerequisite will vary with the topic offered*. Advanced topics in undergraduate mathematics education. May be retaken to a maximum of nine hours, provided the topics are different.

**MAE 504: Technology for Teaching & Research** (3) A

*Prerequisite: Senior standing*. Technology for mathematical and statistical teaching and research. Exploration of mathematical and statistical concepts through the use of computer algebra systems, statistical software, geometry software, programming languages, and related technologies.

**MAE 507: Seminar in Mathematics Education: ______** (1-3) A

*Prerequisite will vary with the topic offered*. Topics vary with offering. May be retaken to a maximum of nine hours, with advisor approval, provided the topics are different. *Credit towards degree requirements will depend on the course content.*

**MAE 550: Teaching Mathematics in the Secondary School **(3)

*Cross-listed as ESE 550. Prerequisites: EDF 319, admission to professional education. Pre/Corequisites: EDF 413, SED 401. Corequisite: ESE 349*. Developmentally appropriate materials and methods for teaching mathematics and computer science in secondary schools. *Credit will not be awarded for both ESE 550 and MAE 550*.

**MAE 704: Technology for Teaching & Research** (3) A

Technology for mathematical and statistical teaching and research. Exploration of mathematical and statistical concepts through the use of computer algebra systems, statistical software, geometry software, programming languages, and related technologies.

**MAE 707: Seminar in Mathematics Education: ______ **(1-3) A

Topics vary with offering. May be retaken to a maximum of nine hours, with advisor approval, provided the topics are different. *Credit towards degree requirements will depend on the course content*.

**MAE 750: Teaching Mathematics in the Secondary School **(3)

*Cross-listed as ESE 750. Prerequisite: admission to the MAT program*. Developmentally appropriate materials and methods for teaching mathematics and computer science in secondary schools. Minimum of 96 field/clinical hours. *Credit will not be awarded to students who have credit for ESE 750*.

**MAE 843: Teaching Math to Low Achievers **(3)

*Cross-listed as EME 843*. In-depth analysis of characteristics of low achievers, teaching resources, teaching strategies, and appropriate mathematics curriculum content. Credit does not apply toward M.S. (non-teaching) degree requirements for programs offered within this department. *Credit will not be awarded to students who have credit for EME 843*.

**MAE 850: Trends and Materials in the Teaching of Mathematics** (3)

*Cross-listed as ESE 850*. Examination of curricular trends, modern programs, appropriate strategies, and innovative materials in secondary mathematics. *Credit will not be awarded to students who have credit for ESE 850*.

**MAE 872: Mathematics in the Curriculum **(3)

*Cross-listed as EME 872*. Exploration of trends, concepts, and issues involved in modern mathematics programs. Research findings are examined and multisensory materials are presented. *Credit does not apply toward M.S. (non-teaching) degree requirements for programs offered within this department. Credit will not be awarded to students who have credit for EME 872*.

**MAE 880: Seminar in: ______ **(1-3) A

Advanced topics in mathematics education. Topics vary with offering. May be retaken to a maximum of nine hours, provided the topics are different. *Credit towards degree requirements will depend on the course content*.

**MAE 890: Independent Study in: ______ **(1-3) A

*Prerequisites: An 800-level course and departmental approval*. Student must have the independent study proposal approved by faculty supervisor, department graduate committee, and department chair prior to enrollment. Independent study on a topic chosen by the student and instructor. May be retaken to a maximum of six hours, provided the topics are different.

**MAT 090: Prealgebra **(3)

*Institutional Credit. I, II.* Real number system, ratio and proportion, order of operations, measurement, exponents and radicals, probability and statistics, graphs, a strong strand of geometry, and basic algebraic concepts such as solving linear equations and understanding variables and algebraic expressions. May be taken by referral only. 3 Lec/2 Lab-Rec.

**MAT 090A: Prealgebra A** (1)

*Institutional Credit. I, II. Corequisites: MAT 090B, MAT 090C*. Whole number and integer arithmetic, order of operations, introduction to solving equations, and a strong strand of geometry. 1 Lec/1 Lab

**MAT 090B: Prealgebra B** (1)

*Institutional Credit. I, II. Co-requisite and/or Prerequisite: MAT 090A. Co-requisite: MAT 090C*. Fraction and decimal arithmetic, ratio and proportion, basic percent concepts, measurement, and radicals. 1 Lec/1 Lab.

**MAT 090C: Prealgebra C** (1)

*Institutional Credit. I, II. Co-requisite and/or Prerequisites: MAT 090A, 090B*. Basic algebraic concepts such as solving linear equations, graphing equations in two variables, understanding algebraic expressions, polynomials and exponents. 1 Lec/1 Lab.

**MAT 095: Developmental Algebra I **(3)

*Institutional Credit. I, II. Prerequisite: MAT 090 with a course grade of at least “C-” or equivalent.* Real number system, algebraic expressions, integer exponents, linear and quadratic equations, inequalities, polynomials, graphing linear and quadratic functions, factoring, systems of equations, radical expressions and basic descriptive geometry. May be taken by referral only. 3 Lec/2 Lab‑Rec.

**MAT 095A: Introductory Algebra A** (1)

*Institutional Credit. I, II. Prerequisite: MAT 090C or MAT 090 or placement into MAT 095A; ACT mathematics subscore of 17 or 18. Corequisites: MAT 095B, MAT 095C*. Real number system, algebraic expressions, linear equations and inequalities, integer exponents, polynomials, and basic descriptive geometry. 1 Lec/1 Lab.

**MAT 095B: Introductory Algebra B** (1)

*Institutional Credit. I, II. Co-requisite and/or Prerequisite: MAT 095A Co-requisite: MAT 095C*. Factoring polynomials, quadratic equations, and radical expressions. 1 Lec/1 Lab.

**MAT 095C: Introductory Algebra C** (1)

*Institutional Credit. I, II. Co-requisite and/or Prerequisites: MAT 095A, 095B*. Linear equations and inequalities, systems of equations, graphing quadratic equations, and an introduction to relations and functions. 1 Lec/1 Lab.

**MAT 098: Algebra II** (3)

*Institutional Credit. I, II. Prerequisite: Completion of all developmental mathematics requirements.* Real number system, algebraic expressions and sentences, linear, quadratic, polynomial, rational, inequalities, operations with exponents, systems of equations, relations and functions, graphing linear and quadratic functions. MAT 098 is the designated course to prepare for MAT 107, and may also be used to meet the PCC mathematics deficiency.* MAT 098 IS NOT REQUIRED OF STUDENTS NEEDING TO MEET DEVELOPMENTAL MATHEMATICS REQUIREMENTS.*

**MAT 105: Mathematics with Applications **(3)

*Prerequisite: completion of all University developmental requirements. *This course is designed to strengthen computational skills, mathematical reasoning, problems‑solving skills, and mathematical reading/communication skills while focusing on real‑world problems. The mathematical topics may include the mathematics of finance, statistics, geometry, combinatorics, mathematical modeling, and algorithms. Use of calculators. *Gen. Ed. II [MA]*.

**MAT 106: Applied Finite Mathematics** (3)

*Prerequisite: completion of all University developmental requirements.* The introduction to the application of mathematics to real‑world problems. Topics are from various branches of discrete mathematics such as graph theory and game theory, probability, geometry, and problems from the social sciences. 3 Lec (1 Lab when taught in large lecture sections.) *Gen. Ed. II or VII (QS) [MA].*

**MAT 107: College Algebra **(3)

*THIS COURSE HAS BEEN RENUMBERED. SEE MAT 114.*

**MAT 108: Trigonometry **(3)

*THIS COURSE HAS BEEN RENUMBERED. SEE* *MAT 120.*

**MAT 109: Precalculus Mathematics** (5)

*THIS COURSE HAS BEEN RENUMBERED. SEE MAT 122.*

**MAT 112: Algebra and Applications** (3) I, II

Prerequisite: MAT 098 with a minimum grade of “C”, a minimum score of 22 on the mathematics portion of the ACT, a minimum score of 510 on the mathematics portion of the SAT, or a passing score on an algebra placement test. Students will solve application problems involving linear and quadratic equations, matrices, systems of linear equations, series and sequences, logarithmic and exponential equations; and analyze graphs of linear, quadratic, exponential, logarithmic and power functions. 3 Lec /1 Lab. Gen. Ed. E-2.

**MAT 114: College Algebra **(3) I, II

** Formerly MAT 107**.

*Prerequisite: MAT 098 with a minimum grade of “C”, a minimum score of 22 on the mathematics portion of the ACT, a minimum score of 510 on the mathematics portion of the SAT, or a passing score on an algebra placement test.*Real and complex numbers, integer and rational exponents, polynomial and rational equations and inequalities, graphs of functions and relations, exponential and logarithmic functions. Use of graphing calculators.

*Credit will not be awarded to students who have credit for MAT 107*. ¬3 Lec /1 Lab. Gen. Ed. E-2.

**MAT 115: Introduction to Mathematica** (1)

*Prerequisite: MAT 112 or 114 with a minimum grade of “C”, or a minimum score of 23 on the mathematics portion of the ACT, or a minimum score of 550 on the mathematics portion of the SAT*. Use of Mathematica. Numeric, algebraic, and symbolic capabilities, two-and three-dimensional graphics with animation, decisions, looping, and list manipulation.

**MAT 116: Problem Solving with Mathematica **(2)

*Prerequisite: MAT 115.* Basic concepts include functional programming, procedural programming, rule-based programming, recursion, numerics, and graphics programming.

**MAT 117: MathExcel Lab for Calculus I** (1-2)

*THIS COURSE HAS BEEN RENUMBERED. SEE MAT 217.*

**MAT 120: Trigonometry** (3) I, II

* Formerly MAT 108*.

*Prerequisite: MAT 107, 112, or 114 with a minimum grade of “C”, a minimum score of 22 on the mathematics portion of the ACT, or a minimum score of 530 on the mathematics portion of the SAT*. Radians and degrees, properties of trigonometric functions, multiple angle expressions, triangle solutions, inverse functions, complex numbers. Use of graphing calculators.

*Students who have completed MAT 108, 109, or 122 with a grade of “C” or better, or are currently enrolled in MAT 122, will not receive credit for MAT 120. Gen. Ed. E-2.*

**MAT 122: Precalculus Mathematics** (5) I, II

* Formerly MAT 109*.

*Prerequisite: MAT 107, 112, or 114 with a minimum grade of “C”, a minimum score of 23 on the mathematics portion of the ACT, or a minimum score of 550 on the mathematics portion of the SAT*. Polynomial, rational, exponential, logarithmic, and trigonometric functions and inverses. Sequences and series, systems of linear and nonlinear equations and inequalities, the complex number system, vectors, the binomial theorem, mathematical induction, and conic sections. Use of graphing calculators.

*Credit will not be awarded to students who have credit for MAT 109*. Gen. Ed. E-2.

**MAT 124: Calculus I** (4)

*THIS COURSE HAS BEEN RENUMBERED. SEE MAT 234.*

**MAT 124H: Honors Calculus I **(4)

*THIS COURSE HAS BEEN RENUMBERED. SEE MAT 234H.*

**MAT 201: Mathematical Concepts for Middle and Elementary School Teachers I** (3), I, II

*Prerequisites: MAT 107, 112 or higher with a minimum grade of “C”; and a passing score on a mastery exam. (The prerequisite course requirement can be met by a combination of MAT 106 and a 23 or higher on the mathematics portion of the ACT.)* Concepts beyond algorithmic computation are emphasized. Sets and functions, whole numbers, integers, rational numbers, decimals and real numbers, numeration, and elementary number theory.

**MAT 202: Mathematical Concepts for Middle and Elementary School Teachers II** (3)

*Prerequisites: MAT 107 or 108 or 109 or 124 or 211 or 261 and MAT 201 with a C or better in each; and a passing score on a mastery test. (The MAT 107 course requirement can be met by a college course in precalculus or calculus, or by a combination of MAT 106 and a 23 or higher on the mathematics portion of the ACT.)* Concepts stressed over manipulation. Geometry, measurement, metric system, probability and basic statistics.

**MAT 203: Geometry for Middle and Elementary School Teachers** (3)

*Prerequisites: admission to a certification program in elementary or middle school and MAT 201 and 202 with a combined grade point of 2.5 in the two courses*. The course emphasizes conceptual understanding and communication of geometric topics, and developing elementary geometric proofs through problem solving and technology. Topics include angles, lines, circles, polygons, polyhedra, congruency and similarity, trigonometry, and non-Euclidean geometry.

**MAT 211: Applied Calculus** (3) A

*Prerequisite: MAT 107, 108, 112, 114, or 120 with a minimum grade of “C,” a minimum score of 23 on the mathematics portion of the ACT, or a minimum score of 550 on the mathematics portion of the SAT*. Functions and graphs, differentiation, integration, exponential and logarithmic functions, and applications for business, economics, and science. *Credit will not be awarded to students who have credit for MAT 261*. Gen. Ed. E-2.

**MAT 214: Linear Algebra and Matrices** (3)

*THIS COURSE HAS BEEN RENUMBERED. SEE MAT 239.*

**MAT 217: MathExcel Lab for Calculus I** (1-2) I, II

* Formerly MAT 117*.

*Prerequisite or Corequisite: MAT 124, 124H, 211, 234, 234H, or 261*. This lab is to accompany a regular lecture class in Calculus I. 4 Lab.

*Credit will not be awarded to students who have credit for MAT 117*.

**MAT 218: MathExcel Lab for Calculus II** (1-2)

*Prerequisite/Corequisite: MAT 224 or 224H.* This lab is to accompany a regular lecture class in Calculus II. 4 Lab.

**MAT 219: MathExcel Lab for Calculus III** (1-2)

*Prerequisite/Corequisite: MAT 225 or 225H.* This lab is to accompany a regular lecture class in Calculus III. *No more than four credit hours of MAT 117, MAT 218 and MAT 219 will count toward the baccalaureate degree*. 4 Lab.

**MAT 224: Calculus II** (4)

*THIS COURSE HAS BEEN RENUMBERED. SEE MAT 244*.

**MAT 224H: Honors Calculus II **(4)

*THIS COURSE HAS BEEN RENUMBERED. SEE MAT 244H.*

**MAT 225: Calculus III** (4)

*THIS COURSE HAS BEEN RENUMBERED. SEE MAT 254.*

**MAT 225H: Honors Calculus III** (4)

*THIS COURSE HAS BEEN RENUMBERED. SEE MAT 254H.*

**MAT 234: Calculus I **(4) I, II

* Formerly MAT 124*.

*Prerequisite: MAT 109 or 122 with minimum grade of “C”, a minimum score of 25 on the mathematics portion of the ACT, or a minimum score of 590 on the mathematics portion of the SAT*. Functions, limits and continuity, derivatives and applications, integration, and introduction to and use of the computer package Mathematica or other appropriate technology.

*Credit will not be awarded to students who have credit for MAT 124 or 234H*. Gen. Ed. E-2.

**MAT 234H: Honors Calculus I **(4) A

* Formerly MAT 124H*.

*Prerequisite: a minimum score of 27 on the mathematics portion of the ACT or a minimum score of 640 on the mathematics portion of the SAT*. Functions, limits and continuity, derivatives and applications, integration, and introduction to and use of the computer package Mathematica or other appropriate technology. The material is treated in greater depth and with more rigor than in MAT 234. Challenging problems and special projects will be assigned.

*Credit will not be awarded to students who have credit for MAT 124, 124H or 234*. Gen. Ed. E-2.

**MAT 239: Linear Algebra and Matrices** (3) I, II

** Formerly MAT 214**.

*Prerequisite: MAT 124, 124H, 234, or 234H with a minimum grade of “C”*. Real and complex vector spaces, linear transformations, matrix theory, with applications, through the introduction of eigenvalues and eigenvectors, determinants, inner product spaces, the use of technology.

*Credit will not be awarded to students who have credit for MAT 214*.

**MAT 244: Calculus II** (4) I, II

* Formerly MAT 224*.

*Prerequisite: MAT 124, 124H, 234, or 234H with a minimum grade of “C”*. Fundamental integration techniques, numerical integration, applications of integration, improper integrals, differential equations, infinite series, polar and parametric equations, and use of Mathematica or other appropriate technology.

*Credit will not be awarded to students who have credit for MAT 224, 224H or 244H.*

**MAT 244H: Honors Calculus II** (4) A

* Formerly MAT 224H*.

*Prerequisite: MAT 124H or 234H with a minimum grade of “C”*. Fundamental integration techniques, numerical integration, applications of integration, improper integrals, differential equations, infinite series, polar and parametric equations, and use of Mathematica or other appropriate technology. The material is treated in greater depth and with more rigor than in MAT 244. Challenging problems and special projects will be assigned.

*Credit will not be awarded to students who have credit for MAT 224, 224H or MAT 244*.

**MAT 254: Calculus III **(4) I, II

* Formerly MAT 225*.

*Prerequisite: MAT 224, 224H, 244, or 244H with a minimum grade of “C”*. Functions of several variables, limits and continuity, partial derivatives, multiple integrals, vector calculus including Green's, Divergence, and Stoke's theorems, cylindrical and spherical coordinates and use of Mathematica.

*Credit will not be awarded to students who have credit for MAT 225, 225H or 254H*.

**MAT 254H: Honors Calculus III** (4) A

* Formerly MAT 225H*.

*Prerequisite: MAT 224H or 244H with minimum grade of “C”*. Functions of several variables, limits and continuity, partial derivatives, multiple integrals, vector calculus including Green's, Divergence, and Stoke's theorems, cylindrical and spherical coordinates, and use of Mathematica. The material is treated in greater depth and with more rigor than in MAT 254. Challenging problems and special projects will be assigned.

*Credit will not be awarded to students who have credit for MAT 225, 225H, or 254.*

**MAT 261: Calculus with Applications for Science I** (3)

*THIS COURSE HAS BEEN RENUMBERED. SEE MAT 211.*

**MAT 301: Logic and Set Theory** (3)

*Prerequisites: MAT 214, 224 or 224H with minimum grades of “C” and a grade point average of at least 2.5 in MAT 124, 214, and 224, or departmental approval.* Logic, proof techniques, set theory, relations, functions, cardinality, introduction to advanced mathematics.

**MAT 303: Mathematical Models and Applications **(3)

*Prerequisites: MAT 107, 112, or 114. Prerequisites or Corequisites: MAT 203 and STA 270*. The course emphasizes conceptual understanding and communication of mathematical topics through modeling, problem solving, and technology. Topics include algebra, geometry, and real-world situations. *Credit does not count toward any of these: the B.S. in mathematics, the B.S. in mathematics teaching, or the mathematics minor*.

**MAT 306: Discrete Mathematics **(3)

*Prerequisites: MAT 214, MAT 224, STA 270 with minimum grades of “C” and at least 2.5 GPA in all mathematics courses.* Counting principles, permutations, combinations, recurrence relations, graphs, representations of graphs as matrices, trees, networks, difference equations, and linear programming.

**MAT 308: Modern Algebra I** (3)

*Prerequisite: MAT 301 with a minimum grade of “C” (2.0).* Groups, cyclic and permutation groups, homomorphisms, subgroups and factor groups, Fundamental Theorem of Finite Abelian Groups, rings, fields, integral domains, and ideals.

**MAT 315: Introduction to Analysis** (3)

*Prerequisite: MAT 301, 225 or MAT 225H with a minimum grade of “C.”* Real number system, sets and functions, limits, continuity, uniform continuity, Taylor’s theorem, laws of the mean, the Riemann integral, allied topics.

**MAT 334: Modern College Geometry I **(3)

*Prerequisite or Corequisite: MAT 301 with a minimum grade of “C.”* Euclid’s parallel postulate, axiom systems, finite geometries.

** MAT 349: Applied Learning in Mathematics **(1‑8); (1‑6) SUMMER ONLY

*Prerequisite: departmental approval.* Work in placements related to academic studies. *Credit does not apply to major or minor requirements. Total hours: eight, associate; sixteen, baccalaureate. A minimum of 80 hours of employment are required for each semester hour of academic credit.*

**MAT 349 A-N: Cooperative Study: Mathematics **(1‑8); (1‑6) SUMMER ONLY.

*Prerequisite: departmental approval.* Work in placements related to academic studies. *Credit does not apply to major or minor requirements. Total hours: eight, associate; sixteen, baccalaureate. A minimum of 80 hours of employment are required for each semester hour of academic credit.*

**MAT 353: Differential Equations **(3)

*Prerequisite: MAT 224 or 224H with a minimum grade of “C.”* Differential equations of first order, applications, singular solutions, linear equations with constant coefficients, miscellaneous methods for equations of higher order, solution in series, total differential equations, qualitative methods, systems of linear differential equations, the computer algebra systems.

**MAT 380: Mathematics in a Historical Setting **(3)

*Prerequisite or Corequisite: MAT 301 or departmental approval*. The history of mathematics from ancient beginnings until modern times is studied through problems and through the lives and times of mathematicians.

**MAT 408: Modern Algebra II **(3)

*Prerequisite: MAT 308 with a minimum grade of “C.”* Ring homomorphisms, polynomial rings, unique factorization domains, principal ideal domains, finite fields, field extensions, algebraic extensions, Galois theory, and geometric construction.

**MAT 415: Analysis** (3)

*Prerequisite: MAT 315 with a minimum grade of “C.”* The Riemann integral, the Lebesgue integral, metric spaces, differentiation, sequences and series of functions, allied topics.

**MAT 475: Math Teaching Senior Seminar** (3)

*THIS COURSE HAS BEEN DROPPED. SEE MAE 475*.

**MAT 480: Seminar in: ______** (1‑3)

*Prerequisite: departmental approval.* Advanced topics in undergraduate mathematics. *May be retaken to a maximum of nine hours, provided the topics are different.*

**MAT 495: Independent Work** (1‑3)

*Prerequisite: departmental approval.* Directed study/research on a problem or area chosen in consultation with instructor. Final paper required. *Student must have the independent study proposal form approved by faculty supervisor and department chair prior to enrollment. May be retaken to maximum of six hours.*

**MAT 498: Mathematics Capstone** (1)

*Cross listed as STA 498. Prerequisite: senior status as either a Mathematics or Statistics major.* Designed to enable students to synthesize and integrate their mathematical and statistical knowledge. Students will learn how to conduct research and present the results. *Credit will not be awarded for both MAT 498 and STA 498.*

**MAT 501: Applications of Mathematics for P-9 Teachers **(3)

*Prerequisite: MAT 303.* Topics in the application of mathematical models appropriate for teachers of grades P-9. *Credit does not apply toward B.S. or B.S. (teaching) degree requirements for programs offered within this department.*

**MAT 502: Geometry with Technology for P-9 Teachers** (3)

*Prerequisites: MAT 203, 205.* Topics in geometry appropriate for teachers of grades P-9. *Credit does not apply toward neither B.S. or B.S. (teaching) degree requirements for programs offered within this department.*

**MAT 505: Foundations of Mathematics** (3)

*Prerequisite: MAT 308 with a minimum grade of “C.”* The nature of mathematical thought; logical systems; axiomatic concepts and methods; consideration of the work of Hilbert, Peano, Whitehead, Russell, and others.

** MAT 506: Number Theory** (3)

*Prerequisite: MAT 301 with a minimum grade of at least “C.”* Fundamental properties of integers, linear Diophantine equations, linear and quadratic congruences, famous problems of number theory.

**MAT 507: Seminar in Mathematics: ______** (1‑3)

*Prerequisite: departmental approval.* Topics vary with offering. May be retaken with advisor approval, provided the topics are different. Credit towards degree requirements will depend on course content.

**MAT 520: Mathematical Statistics I **(3)

*Cross listed as STA 520. Prerequisite: MAT 224 or 224H or 225 or 225H; and STA 215 or 270 or 370 or CRJ 400 or ECO 220 or ECO 848 or EPY 842 or HEA 450 or PSY 309 or QMB 200.* Descriptive statistics, discrete and continuous probability distributions for one and two variables, functions of random variables, sampling distributions, expectations and generating functions. Credit will not be awarded for both MAT 520 and STA 520.

**MAT 525: Vector Analysis with Applications **(3)

*Prerequisite: MAT 225 or 225H with a minimum grade of “C.”* Algebra and geometry of vectors; vector functions of a single variable; line, surface, and volume integrals; Divergence Theorem, Stokes’ Theorem, Green’s Theorem; generalized orthogonal coordinates; Fourier Series; solutions to boundary value problems.

**MAT 527: Cryptology** (3) A

*Prerequisites: Senior standing and MAT 301*. Classical cryptosystems, basic number theory, DES, Advanced Encryption Standard, RSA, discrete logs, digital signatures, elliptic curve cryptosystem, lattice methods. It is strongly recommended that students have completed a course in proof writing.

**MAT 535: Modern College Geometry II **(3)

*Prerequisite: MAT 334 with a minimum grade of “C.”* The major influence of the axioms of parallelism or geometry, development from axioms and models, Euclidean geometry, absolute geometry, hyperbolic geometry, consistency of postulates.

** MAT 540: Introductory Applied Mathematics (3)**

*Prerequisite: MAT 353 with a minimum grade of “C.”* Techniques and applications of: vector analysis, matrix theory, linear and autonomous systems of differential equations, special functions, operational methods, Sturm-Liouville theory, Fourier series.

**MAT 550: Applications of Complex Analysis** (3)

*Prerequisite: MAT 225 or 225H or 353 with a minimum grade of “C.”* Continuity, differentiation, integration, series, residues, and applications to the evaluation of real integrals. Applications of conformal mappings to boundary value problems in heat, electrostatic potential, and fluid flow. Emphasis throughout on computational techniques and applications.

**MAT 555: Graph Theory** (3)

*Prerequisite: MAT 308 or CSC 320 with a minimum grade of “C.”* Introduction to the theory and applications of graph theory. Topics will include trees, planarity, connectivity, flows, matching, and coloring.

** MAT 560: Point Set Topology (3)**

*Prerequisite: MAT 301 with a minimum grade of “C.”* An introduction to topology with emphasis on Euclidean and other metric spaces. Mappings, connectivity, compactness, formation of new spaces, relationship to analysis.

**MAT 565: Mathematical Methods for Protein Structure Analysis** (3) A

*Prerequisites: Senior standing, MAT 214, and three hours from CSC 160, 174, 177, or 190.* Mathematical and computational approaches to protein structure determination, refinement, evaluation, comparison, and visualization. Methods for determining atomic structures. Protein surface representation and shape comparison. Structure databases. It is strongly recommended that students have completed a course in linear algebra and have experience in computer programming.

**MAT 577: Introduction to Algebraic Coding Theory** (3) A

Prerequisites: Senior standing; MAT 301, or both MAT 214 and departmental approval. Introduction to basic concepts of coding theory, linear codes, perfect codes, cyclic codes, BCH codes, and Reed Solomon codes. Additional topics as time permits. It is strongly recommended that students have completed a course in linear algebra and a course in proof writing

**MAT 701: Applications of Mathematics for P-9 Teachers** (3)

Topics in the application of mathematical models appropriate for teachers of grades P-9. Credit does not apply toward M.S. nor M.A. in Education - Secondary Education option in mathematics, degree requirements.

**MAT 702: Geometry with Technology for P- 9 Teachers** (3)

Topics in geometry appropriate for teachers of grades P-9. Credit does not apply toward M.S. nor M.A. in Education - Secondary Education, academic specialization option in mathematics, degree requirements.

**MAT 705: Foundations of Mathematics **(3)

The nature of mathematical thought; logical systems, axiomatic concepts and methods; consideration of the work of Hilbert, Peano, Whitehead, Russell, and others. It is strongly recommended that students have completed an abstract algebra course.

**MAT 706: Number Theory** (3)

Fundamental properties of integers, linear Diophantine equations, linear and quadratic congruences, famous problems of number theory. It is strongly recommended that students have completed a course requiring proof-writing skills.

**MAT 707: Seminar in Mathematics: ______** (1-3)

Topics vary with offering. May be retaken with advisor approval, provided the topics are different. Credit towards degree requirements will depend on the course content.

**MAT 720: Mathematical Statistics I** (3)

*Cross listed as STA 720*. Descriptive statistics, discrete and continuous probability distributions for one and two variables, functions of random variables, sampling distributions, expectations and generating functions. *Credit will not be awarded to students who have credit for STA 720.*

**MAT 725: Vector Analysis with Applications** (3)

Algebra and geometry of vectors; vector functions of a single variable; line, surface, and volume integrals; divergence Theorem, Stokes’ Theorem, Green’s Theorem; generalized orthogonal coordinates; Fourier Series; solutions to boundary value problems. It is strongly recommended that students have completed twelve hours of calculus.

**MAT 727: Cryptology** (3) A

Classical cryptosystems, basic number theory, DES, Advanced Encryption Standard, RSA, discrete logs, digital signatures, elliptic curve cryptosystem, lattice methods. It is strongly recommended that students have completed a course in proof writing.

**MAT 735: Modern College Geometry II** (3)

The major influence of the axioms of parallelism on geometry, development from axioms and models, Euclidean geometry, absolute geometry, hyperbolic geometry, consistency of postulates. It is strongly recommended that students have completed a geometry course.

**MAT 740: Introductory Applied Mathematics** (3)

Techniques and applications of: vector analysis, matrix theory, linear and autonomous systems of differential equations, special functions, operational methods, Sturm-Liouuville theory, Fourier series. It is strongly recommended that students have completed a course in differential equations.

**MAT 750: Applications of Complex Analysis **(3)

Continuity, differentiation, integration, series, residues, and applications to the evaluation of real integrals. Applications of conformal mappings to boundary value problems in heat, electrostatic potential, and fluid flow. Emphasis throughout on computational techniques and applications. *Credit will not be awarded to students who have credit for MAT 850*. It is strongly recommended that students have completed twelve hours of calculus or eight hours of calculus plus a differential equations course.

**MAT 755: Graph Theory** (3)

Introduction to the theory and applications of graph theory. Topics will include trees, planarity, connectivity, flows, matching and coloring. It is strongly recommended that students have completed a course in abstract algebra or discrete structures.

**MAT 760: Point Set Topology **(3)

An introduction to topology with emphasis on Euclidean and other metric spaces. Mappings, connectivity, compactness, formation of new spaces, relationship to analysis. It is strongly recommended that students have completed a course requiring proof-writing skills.

**MAT 765: Mathematical Methods for Protein Structure Analysis** (3) A

Mathematical and computational approaches to protein structure determination, refinement, evaluation, comparison, and visualization. Methods for determining atomic structures. Protein surface representation and shape comparison. Structure databases. It is strongly recommended that students have completed a course in linear algebra and have experience in computer programming.

**MAT 777: Introduction to Algebraic Coding Theory** (3) A

Introduction to basic concepts of coding theory, linear codes, perfect codes, cyclic codes, BCH codes, and Reed Solomon codes. Additional topics as time permits. It is strongly recommended that students have completed a course in linear algebra and a course in proof writing.

**MAT 803: Number and Geometric Concepts for P-5 Teachers** (3)

*Prerequisite: admission to the MAT program or departmental approval*. Numeric and geometric concepts; problem solving with numbers, geometry, and data; reasoning; and connections. Credit does not apply toward the M.S. degree offered within this department. *Credit will not be awarded to students who have credit for MAT 202.*

**MAT 806: Advanced Number Theory** (3)

Basic concepts from analytic and algebraic number theory including the Prime Number Theorem, Dirichlet’s Theorem, the Riemann Hypothesis, algebraic integers, ideals and factorization in algebraic number fields. Additional topics as time permits. It is strongly recommended that students have completed courses in number theory, abstract algebra, and real analysis or differential equations.

**MAT 809: Modern Algebra** (3)

Study of groups, including fundamental isomorphism theorems, Sylow Theorems, and finitely generated abelian groups. It is strongly recommended that students have completed an abstract algebra course.

**MAT 810: Modern Algebra II **(3)

Study of rings, integral domains, unique factorization domains, modules, vector spaces, fields and field extensions, including Galois theory. It is strongly recommended that students have completed an abstract algebra course.

**MAT 815: Real Analysis **(3)

Further study of the concepts introduced in MAT 315. The convergence theorems, Lebesgue measure and measurable functions, the Lebesgue integral, Fourier series, allied topics. It is strongly recommended that students have completed a real analysis course.

**MAT 839: Applied Learning in Mathematics **(1-3)

Prerequisite: departmental approval. May be retaken with approval to a maximum of three credits. Employment with faculty and field supervision in an area related to the student’s academic interests. A minimum of eighty hours of employment is required for each academic credit. Credit does not apply towards the M.S. degree requirements.

**MAT 839 A-F: Cooperative Study: Mathematics** (1-3)

*Prerequisite: departmental approval. May be retaken with approval to a maximum of three credits*. Employment with faculty and field supervision in an area related to the student’s academic interests. A minimum of eighty hours of employment is required for each academic credit. *Credit does not apply towards the M.S. degree requirements*.

**MAT 850: Complex Analysis** (3)

The topology of the extended complex plane. The theory of analytic and meromorphic functions including integration, Taylor and Laurent series, Cauchy Integral and Residue Theorems, Argument Principles, Rouche’s Theorem, Maximum Modulus Theorems, conformal mappings. It is strongly recommended that students have completed a real analysis course.

**MAT 853: Ordinary Differential Equations** (3) A

Uniqueness and existence of solutions of initial value problems, maximal intervals of existence, continuous dependence, disconjugacy of boundary value problems, Cauchy functions, Green's functions, and fixed point theory. Additional topics as time permits. It is strongly recommended that students have completed a course in analysis.

**MAT 856: Advanced Applied Mathematics** (3)

*Prerequisite: MAT 740 or equivalent*. Continuation of MAT 740. Topics may include: partial differential equations, conformal mapping, potential theory, optimization, calculus of variations, integral equations.

**MAT 865: Applied Linear Algebra** (3) A

Vector spaces, LU decomposition, singular value decomposition, orthogonality, and related theory, with applications to least squares, Markov chains, combinatorics, differential equations, and other topics. It is strongly recommended that students have completed a course in linear algebra.

**MAT 866: Combinatorial Optimization** (3) A

Combinatorial optimization, linear programming, flow and matching theory, traveling salesman problem, and related topics. It is strongly recommended that students have completed a linear algebra course.

**MAT 870: Seminar in Secondary Mathematics: ______** (1-3)

*THIS COURSE HAS BEEN DROPPED.*

**MAT 871: Numerical Analysis** (3)

Computer arithmetic. Analysis of errors and stability of well-posed problems. LaGrange, Hermite and spline interpolation. Newton-Cotes, Romberg, and Gaussian quadrature. Consistency, convergence, and stability of numerical integration methods for ordinary initial value problems. Finite difference and shooting methods for two-point boundary value problems. It is strongly recommended that students have completed a real analysis course and have experience with a programming language.

**MAT 872: Advanced Numerical Analysis **(3)

*Prerequisite: MAT 871 or equivalent*. Continuation of MAT 871 with greater depth. Least squares and minimax approximation, direct and iterative solutions of linear systems, zeros, extrema by iteration, eigenvalue problems.

**MAT 880: Seminar in: ______** (1-3)

Advanced topics in Mathematics. May be retaken to a maximum of six hours, provided the topics are different. Credit towards degree requirements will depend on the course content.

**MAT 890: Independent Study in: ______** (1-3)

*Prerequisites: An 800-level course and departmental approval*. Student must have the independent study proposal form approved by faculty supervisor and department chair prior to enrollment. Independent study on a problem chosen by the student and instructor. May be retaken to a maximum of nine hours, provided the topics are different.

**MAT 898: Applied Mathematics Capstone** (3) A

*Prerequisite: completion of at least 15 hours toward the M.A. in Applied Mathematics degree*. Preparation for mathematical and statistical study. Guided one-on-one study of a mathematical or statistical concept. Use of mathematical typesetting software, presentation software, and research databases. Credit does not apply toward the M.S. degree requirements.

**MAT 899: Thesis in: ______. **(1-6)

**STA 215: Introduction to Statistical Reasoning **(3) I, II

*Prerequisite: completion of all University developmental requirements*. Introduction to descriptive statistics, normal distributions, correlation and linear regression, sampling, experiments, chance phenomena, one- and two-sample estimation and hypothesis testing, chi-square tests, and use of statistical software. Gen. Ed. E-2.

**STA 215L: StatExcel for STA 215** (1) A

*Corequisite: STA 215*. This optional lab is to accompany a regular lecture class in STA 215; topics will vary. 2 Lab.

** STA 270: Applied Statistics I **(3) I, II

*Prerequisite: MAT 107 or higher, a minimum score of 23 on the mathematics portion of the ACT, or a minimum score of 500 on the mathematics portion of the SAT*. Measures of central tendency and dispersion, discrete and continuous distributions, binomial distributions, normal distributions, frequency distributions, correlation and linear regression, probability, sampling distributions, point and interval estimates, hypothesis testing, and use of statistical software. Gen. Ed. E-2.

**STA 270L: Lab for Applied Stats I: ______ **(1)

*Corequisite: STA 270*. This lab is to accompany a regular lecture class in STA 270, topics will vary. 2 Lab.

**STA 320: Applied Statistics II** (3) II

*Prerequisite: STA 270, or STA 215 (C) or better and one of the following: MAT 107 or higher, a minimum score of 23 on the mathematics portion of the ACT, or a minimum score of 500 on the mathematics portion of the SAT; or departmental approval*. Review of estimation and hypothesis testing, simple and multiple regression, model building, analysis of variance, contingency tables, elementary experimental design, classical time series analysis, and use of statistical software

**STA 349: Applied Learning in Statistics **(1‑8); (1‑6) SUMMER ONLY.

*Prerequisite: departmental approval.* Work in placements related to academic studies. *Does not apply to major or minor requirements. Total hours: eight, associate; sixteen, baccalaureate. A minimum of 80 hours of employment is required for each semester hour of academic credit.*

** STA 349 A-N: Cooperative Study: Statistics** (1‑8); (1‑6) SUMMER ONLY

*Prerequisite: departmental approval.* Work in placements related to academic studies. *Does not apply to major or minor requirements. Total hours: eight, associate; sixteen, baccalaureate. A minimum of 80 hours of employment is required for each semester hour of academic credit.*

**STA 370: Applied Probability** (3)

*Prerequisites: MAT 224 or 224H or 225 or 225H; and STA 215 or 270 or COR 400 or CRJ 400 or ECO 220 or EPY 842 or HEA 450 or QMB 200; or departmental approval*. Intuitive and axiomatic development of probability, set theory, counting techniques, conditional probability, Bayes Theorem, discrete distributions including univariate and bivariate cases, multinomial distributions, Markov Chains, and emphasis on applications.

**STA 375: Sampling Methods **(3)

*Prerequisite: STA 215 or 270 or COR 400 or CRJ 400 or ECO 220 or EPY 842 or HEA 450 or QMB 200*. Basic concepts of sampling theory, simple random sampling, stratified random sampling, cluster sampling, systematic sampling, ratio and regression estimation, applications to surveys, and use of statistical software. Written and/or oral presentations required.

**STA 380: Nonparametric Statistics** (3) A

* Formerly STA 501. Prerequisite: STA 215 or 270*. Simple, efficient nonparametric methods without normality assumptions. Tests, estimation of proportions, medians, two-sample location/dispersion, one and two-way layout, independence, regression, and use of statistical software. Credit will not be awarded to students who have credit for STA 501.

** STA 385: Probability for Actuaries** (1)

*Prerequisite: STA 370 or 520*. Review of elementary probability theory, univariate and multivariate probability distributions, moment generating functions, transformations, order statistics, and applications of probability concepts in a risk management context. Preparation for Exam P.

**STA 480: Seminar in ______** (1‑3)

*Prerequisite: departmental approval.* Topic announced at the time of offering. May be retaken to a maximum of 12 hours, provided the topics are different.

**STA 495: Independent Work **(1‑3)

*Prerequisite: departmental approval*. Directed study/research on a problem or area chosen in consultation with instructor. Final paper required. *Student must have the independent study proposal form approved by faculty supervisor and department chair prior to enrollment. May be retaken to a maximum of six hours.*

**STA 498: Statistics Capstone **(1)

*Cross listed as MAT 498. Prerequisite: senior status as either a Mathematics or Statistics major.* Designed to enable students to synthesize and integrate their mathematics and statistical knowledge. Students will learn how to conduct research and present the results. *Credit will not be awarded for both STA 498 and MAT 498.*

**STA 500: Applied Statistical Inference **(3)

*Designed for students in all areas.* A general background in statistical methods including normal distribution, point and interval estimation, hypothesis testing, linear correlation and regression, analysis of variance, and use of statistical software.

**STA 501: Nonparametric Statistics **(3)

*THIS COURSE HAS BEEN DROPPED. See STA 380.*

**STA 503: Statistics with Technology for P-9 Teachers** (3)

Topics in statistics appropriate for teachers of grades P-9. *Credit does not apply toward B.S. or B.S. (teaching) degree requirements for programs offered within this department.*

**STA 507: Seminar in Statistics: ______** (1‑3)

*Prerequisite: departmental approval.* Topics vary with offering. *May be retaken with advisor approval, provided that the topics are different. Credit toward degree requirements will depend on the course content.*

**STA 520: Mathematical Statistics I **(3)

*Cross listed as MAT 520. Prerequisites: MAT 224 or 224H or 225 or 225H; and STA 215 or 270 or 370 or CRJ 400 or ECO 220 or ECO 848 or EPY 842 or HEA 450 or PSY 309 or QMB 200.* Descriptive statistics, discrete and continuous probability distributions for one and two variables, functions of random variables, sampling distributions, expectations and generating functions. *Credit will not be awarded for both STA 520 and MAT 520.*

** STA 521: Mathematical Statistics II** (3)

*Prerequisites: STA 520 and MAT 214*. A continuation of STA 520. Estimation theory, tests of hypothesis, linear regression and correlation, multiple linear regression, analysis of variance, allied topics.

**STA 570: Quality Control & Reliability** (3) A

*Prerequisites: Senior standing, MAT 234 or 234H, and STA 320*. Analysis of six sigma techniques, statistical analysis of process capability, statistical process control using control charts, quality improvement, acceptance sampling, and an introduction to product reliability.

**STA 575: Statistical Methods Using SAS** (3)

*Prerequisite: STA 215 or 270 or 500 or 700 or 501 or 701 or 521 or 721 or 585 or 785 or CRJ 400 or ECO 220 or ECO 848 or EPY 842 or HEA 450 or PSY 309 or QMB 200.* Statistical methods focusing on the use of the SAS computer package and interpretation of data. Assumptions of parametric and nonparametric tests.

**STA 580: R and Introductory Data Mining** (3) A.

*Perequisite: STA 320, MAT 124, and CSC 160 or 174 or 177 or 190*. Data set manipulation, application of statistical techniques in R, statistical programming, and data mining skills.

** STA 585: Experimental Design **(3)

*Prerequisite: STA 215 or 270 or 500 or 700 or 501 or 701 or 521 or 721 or 575 or 775 or COR 400 or CRJ 400 or ECO 220 or EPY 842 or HEA 450 or PLS 400 or QMB 200*. Introduction to analysis of variance and experimental design with emphasis on authentic applications and use of statistical software. Includes completely randomized designs, factorial experiments, multiple comparisons, checking model assumptions, randomized blocks, Latin squares, fixed and random models, and nested-fractorial experiments.

**STA 700: Applied Statistical Inference **(3)

Designed for students in all areas. A general background in statistical methods including normal distribution, point and interval estimation, hypothesis testing, regression, analysis of variance, and software packages. *Credit does not apply toward the M.S. degree requirements*.

**STA 701: Nonparametric Statistics **(3)

*THIS COURSE HAS BEEN DROPPED.*

**STA 703: Statistics with Technology for P-9 Teachers** (3)

Topics in statistics appropriate for teachers of grades P-9. *Credit does not apply toward M.S. nor M.A. in Education - Secondary Education, academic specialization option in mathematics, degree requirements*.

**STA 707: Seminar in Statistics: ______** (1-3)

Topics vary with offering. May be retaken with advisor approval, provided the topics are different. Credit towards degree requirements will depend on the course content.

**STA 720: Mathematical Statistics I **(3)

*Cross listed as MAT 720*. Descriptive statistics, discrete and continuous probability distributions for one and two variables, functions of random variables, sampling distributions, expectations and generating functions. *Credit will not be awarded to students who have credit for MAT 720.*

**STA 721: Mathematical Statistics II **(3)

*Prerequisite: STA 520 or STA 720*. A continuation of STA 720. Estimation theory, tests of hypothesis, linear regression, analysis of variance, allied topics. It is strongly recommended that students have completed an undergraduate course in linear algebra.

**STA 770: Quality Control & Reliability** (3) A

Analysis of six sigma techniques, statistical analysis of process capability, statistical process control using control charts, quality improvement, acceptance sampling, and an introduction to product reliability. It is strongly recommended that students have completed a course in calculus and STA 700, 721, or two courses in applied statistics.

**STA 775: Statistical Methods Using SAS** (3)

Statistical methods focusing on the use of the SAS computer package and interpretation of data. Assumptions of parametric and nonparametric tests. It is strongly recommended that students have completed a statistics course.

**STA 780: R and Introductory Data Mining** (3) A.

*Prerequisite: STA 700, CSC 730, and any Calculus class, or departmental approval*. Data set manipulation, application of statistical techniques in R, statistical programming, and data mining skills.

**STA 785: Experimental Design **(3)

Introduction to analysis of variance and experimental design with emphasis on authentic applications and use of statistical software packages. Includes completely randomized designs, factorial experiments, multiple comparisons, checking model assumptions, randomized blocks, Latin squares, fixed and random models, and nested-factorial experiments. It is strongly recommended that students have completed a statistics course.

**STA 835: Linear Models** (3) A

Use of matrix algebra to develop theory of linear models. General linear models, estimability, multivariate normal distribution, estimation, testing, prediction, restricted models, models with general covariance structure, reparameterization, multi-part model, and random and mixed models. It is strongly recommended that students have completed a course in applied statistics and a course in linear algebra.

**STA 839: Applied Learning in Statistics** (1-3)

*Prerequisite: departmental approval*. May be retaken with approval to a maximum of three credits. Employment with faculty and field supervision in an area related to the student’s academic interests. A minimum of eighty hours of employment is required for each academic credit.* Credit does not apply toward the M.S. degree requirements*.

**STA 839 A-F: Cooperative Study: Statistics** (1-3)

*Prerequisite: departmental approval*. May be retaken with approval to a maximum of three credits. Employment with faculty and field supervision in an area related to the student’s academic interests. A minimum of eighty hours of employment is required for each academic credit. *Credit does not apply toward the M.S. degree requirements*.

**STA 840: Applied Multivariate Statistical Analysis** (3) A

*Prerequisite: Completion of at least 12 hours toward the M.A. in Applied Mathematics degree*. Analysis of variance and simple linear regression review, multiple linear regression, multivariate analysis of variance, multivariate analysis of covariance, repeated measures ANOVA, discriminant analysis, factor analysis, principal component analysis, and use of statistical software. It is strongly recommended that students have completed STA 700, 721, or two courses in applied statistics.

**STA 880: Seminar in: ______ **(1-3)

Advanced topics in Statistics. May be retaken to a maximum of six hours provided the topics are different. Credit towards degree requirements will depend on the course content.

**STA 890: Independent Study in: ______ **(1-3)

*Prerequisite: departmental approval*. Student must have the independent study proposal form and course syllabus approved by faculty supervisor and department chair prior to enrollment. Independent study on a problem chosen by the student and instructor. May be retaken to a maximum of nine hours, provided the topics are different.