
(MATH) Mathematics (641) 


MATH 113  Mathematical Reasoning 3 Credit Hours Classical and modern topics in number theory, logic, geometry, and probability with emphasis on problem solving. Consumer mathematics and other realworld applications.
Satisfies General Education Requirement: (QR)



MATH 115  Statistical Reasoning 3 Credit Hours An introduction to probability and statistics without calculus.
Satisfies General Education Requirement: (QR) Credit Restriction: Not available for credit to students in the Haslam College of Business.



MATH 117  Honors: Mathematical Reasoning 3 Credit Hours Topics will be selected from: number theory, logic, geometry, elementary topology, fractals, or probability with an emphasis on problem solving. Consumer mathematics, fair division, voting theory or other realworld applications may be included.
Satisfies General Education Requirement: (QR) Recommended Background: ACT composite score of 31 or SAT score of 1360.



MATH 119  College Algebra 3 Credit Hours A review of algebraic functions, equations, and inequalities for students who satisfy the course prerequisites for 123 or 125 but whose placement test scores indicated additional preparation is necessary.
Grading Restriction: A, B, C, No Credit grading only. Credit Restriction: Students who receive a grade of C or better in any course numbered 123 or higher (except for 201 or 202) may not subsequently receive credit for 119. Comment(s): This course should not be taken to remove an entrance requirement.



MATH 123  Finite Mathematics 3 Credit Hours For students not planning to major in the physical sciences, engineering, mathematics or computer science. Topics include systems of linear equations and matrices, matrix algebra and applications, linear programming and the mathematics of investments and loans.
Satisfies General Education Requirement: (QR) (RE) Prerequisite(s): 119 or 130 or 125 or 141 or 147.



MATH 125  Basic Calculus 3 Credit Hours For students not planning to major in the physical sciences, engineering, mathematics, or computer science. Calculus of algebraic, exponential, and logarithmic functions, with applications.
Satisfies General Education Requirement: (QR) Credit Restriction: Students who receive a grade of C or better in 141, 147, or 152 may not subsequently receive credit for 125. (RE) Prerequisite(s): 119 or 130 or 123.



MATH 130  Precalculus I 4 Credit Hours Review of algebraic, logarithmic, exponential, and trigonometric functions.
Grading Restriction: A, B, C, No Credit grading only. Credit Restriction: Students who receive a grade of C or better in 141, 147, or 151 may not subsequently receive credit for 130. (RE) Prerequisite(s): 119 or appropriate placement exam score. Comment(s): For students who satisfy the course prerequisites for 141 or 151, but whose placement test scores indicate additional preparation is necessary.



MATH 141  Calculus I 4 Credit Hours Single variable calculus especially for students of science, engineering, mathematics, and computer science. Differential calculus with applications.
Satisfies General Education Requirement: (QR) (RE) Prerequisite(s): 130.



MATH 142  Calculus II 4 Credit Hours Single variable calculus especially for students of science, engineering, mathematics, and computer science. Integral calculus with applications.
Satisfies General Education Requirement: (QR) (RE) Prerequisite(s): 141 or 147.



MATH 147  Honors: Calculus I 4 Credit Hours Honors version of 141 for wellprepared students.
Satisfies General Education Requirement: (QR) Credit Restriction: Credit will not be given for both 147 and 141 or 152. (RE) Prerequisite(s): 130. Comment(s): Students should have a 32 mathematics ACT score, a 700 quantitative SAT score, or permission from the instructor to enroll.



MATH 148  Honors: Calculus II 4 Credit Hours Honors version of 142 for wellprepared students.
Satisfies General Education Requirement: (QR) (RE) Prerequisite(s): 147. Comment(s): Students should have a 32 mathematics ACT score or a 700 quantitative SAT score and credit for mathematics 141, an AP Calculus score of 5, or permission of the instructor to enroll.



MATH 151  Mathematics for the Life Sciences I 3 Credit Hours For students majoring in the life sciences. Does not serve as a prerequisite for 231 or 241. Topics include descriptive statistics, linear regression, discrete probability, matrix algebra, difference equations, calculus, and differential equations. Emphasis on applications in the life sciences. Includes computer projects.
Satisfies General Education Requirement: (QR) (RE) Prerequisite(s): 130.



MATH 152  Mathematics for the Life Sciences II 3 Credit Hours Continuation of Math 151.
Satisfies General Education Requirement: (QR) Credit Restriction: Students who receive a grade of C or better in 141 cannot subsequently receive credit for 152. (RE) Prerequisite(s): 151.



MATH 171  Computer Literacy for Mathematics 3 Credit Hours Introduction to computers, the Internet, mathematical packages, and programming for prospective mathematics majors.
(RE) Prerequisite(s): 141 or 147.



MATH 200  Matrix Computations 2 Credit Hours Introduction to matrix calculations, including determinants, eigenvalues, and eigenvectors.
Credit Restriction: Students who have received a grade of C or better in 251 may not subsequently receive credit for 200. Comment(s): For students in the College of Engineering and statistics majors in the Haslam College of Business.



MATH 202  Probability, Statistics, and Euclidean Geometry 3 Credit Hours Probabilities in simple experiments. Measures of central tendency and variation. Basic plan and threespace geometry. Congruence and similarity. Constructions with compass and straightedge. Transformations and area and volume measurement. Turtle graphs.
Satisfies General Education Requirement: (QR)



MATH 205  Functions and Modeling for Secondary Math Instruction 3 Credit Hours Projectbased activities to strengthen and expand knowledge of topics in mathematics for secondary math instruction, focusing especially on topics from precalculus and the transition to calculus.
(RE) Prerequisite(s): 142 or 148 and Interdisciplinary Programs 120.



MATH 231  Differential Equations I 3 Credit Hours First course emphasizing solution techniques. Includes firstorder equations and applications, theory of linear equations, equations with constant coefficients, Laplace transforms, and series solutions.
(RE) Prerequisite(s): 142 or 148.



MATH 237  Honors: Differential Equations I 3 Credit Hours Honors version of Math 231.
(RE) Prerequisite(s): 148.



MATH 241  Calculus III 4 Credit Hours Calculus of functions in two or more dimensions. Includes solid analytic geometry, partial differentiation, multiple integration, and selected topics in vector calculus.
(RE) Prerequisite(s): 142 or 148.



MATH 247  Honors: Calculus III 4 Credit Hours (RE) Prerequisite(s): 148. Comment(s): Students should have a 32 mathematics ACT score or a 700 quantitative SAT score and credit for mathematics 142, or permission from the instructor to enroll.



MATH 251  Matrix Algebra I 3 Credit Hours First course in the algebra of simultaneous linear equations and matrices. Includes Gaussian elimination, determinants, vector spaces, linear transformations, eigenvalues, and eigenvectors.
(RE) Prerequisite(s): 142 or 148.



MATH 257  Honors: Matrix Algebra I 3 Credit Hours (RE) Prerequisite(s): 148.



MATH 299  Studies in Mathematics 13 Credit Hours Repeatability: May be repeated. Maximum 9 hours.



MATH 300  Introduction to Abstract Mathematics 3 Credit Hours Algebra of sets, functions, relations, and mathematical induction. Algebraic structure of the real number system, order properties, and completeness.
(RE) Prerequisite(s): 142 or 148.



MATH 307  Honors: Introduction to Abstract Mathematics 3 Credit Hours Honors version of 300.
(RE) Prerequisite(s): 142 or 148. Comment(s): For current and prospective math majors, honors students, and wellprepared students.



MATH 309  Putnam Preparation Seminar 1 Credit Hours Problemsolving activities designed to prepare students for the annual Putnam Exam.
Grading Restriction: Satisfactory/No Credit grading only. Repeatability: May be repeated. Maximum 4 hours.



MATH 323  Probability and Statistics 3 Credit Hours Discrete and continuous random variables. Conditional probability, expectation, moment generating functions. Law of large numbers. Central limit theorem. Elements of statistical inference, estimation, and hypothesis testing.
(RE) Prerequisite(s): 241 or 247; 300 or 307.



MATH 341  Analysis I 3 Credit Hours Introduction to the theory of the real number system. Limits of sequences and functions of a real variable.
(RE) Prerequisite(s): 241 or 247; 300 or 307.



MATH 351  Algebra I 3 Credit Hours Introduction to abstract algebra emphasizing integers and polynomial rings.
(RE) Prerequisite(s): 251 or 257; 300 or 307.



MATH 371  Numerical Algorithms 3 Credit Hours Development and application of fundamental algorithms for finding roots of equations, solving systems of linear equations, interpolating, fitting data using leastsquares, differentiation, integration, and solving ordinary differential equations.
Credit Restriction: Students may not receive credit for both Mathematics 371 and Computer Science 370. (RE) Prerequisite(s): 231; 200 or 251 or 257. Comment(s): Knowledge of highlevel programming language required.



MATH 397  Junior Honors Seminar 2 Credit Hours Preparation for graduate school in mathematics and related fields. Review of the main undergraduate math topics, with emphasis on problem solving.
Grading Restriction: Satisfactory/No Credit grading only. Registration Restriction(s): Honors mathematics concentration only.



MATH 398  Math Honors Program 0 Credit Hours Maintain the requirements of the Mathematics Honors Program.
Grading Restriction: Satisfactory/No Credit grading only. Repeatability: May be repeated. Maximum 3 times. Registration Restriction(s): Honors mathematics concentration only.



MATH 399  Studies in Mathematics 13 Credit Hours Repeatability: May be repeated. Maximum 9 hours.



MATH 400  History of Mathematics 3 Credit Hours Development of major ideas in mathematics from ancient to modern times and the influence of these ideas in science, technology, philosophy, art, and other areas. Includes at least one inclass essay examination and 3,000 words of writing outside the classroom. Writingemphasis course.
(RE) Prerequisite(s): 251 or 257. (DE) Prerequisite(s): 300 or 307.



MATH 403  Mathematical Methods for Engineers and Scientists 3 Credit Hours Matrix computations, numerical methods, partial differential equations, SturmLiouville Theory and special functions as used in engineering and science.
(RE) Prerequisite(s): 231; 241 or 247. Comment(s): Knowledge of highlevel programming language required.



MATH 404  Applied Vector Calculus 3 Credit Hours Topics from multivariable and vector calculus, including line and surface integrals, the divergence theorem, and the theorems of Gauss and Stokes.
(RE) Prerequisite(s): 241 or 247.



MATH 405  Models in Biology 3 Credit Hours Difference and differential equation models of biological systems.
(Same as Ecology and Evolutionary Biology 406.) (RE) Prerequisite(s): 142 or 148 or 152.



MATH 411  Mathematical Modeling 3 Credit Hours Construction and analysis of mathematical models used in science and industry. Projects emphasized. Writingemphasis course.
(RE) Prerequisite(s): 231; 241 or 247; 200 or 251 or 257.



MATH 421  Combinatorics 3 Credit Hours Introduction to problems of construction and enumeration for discrete structures, such as sequences, partitions, graphs, finite fields and geometries, and experimental designs.
(RE) Prerequisite(s): 300 or 307.



MATH 423  Probability 3 Credit Hours Axiomatic probability, univariate and multivariate distributions, conditional distributions and expectations, moment generating functions, laws of large numbers and central limit theorem.
(RE) Prerequisite(s): 241 or 247; 300 or 307. (DE) Prerequisite(s): 323.



MATH 424  Stochastic Processes 3 Credit Hours Markov chains, Poisson processes and Brownian motion. Other topics as selected by instructor.
(RE) Prerequisite(s): 423.



MATH 425  Statistics 3 Credit Hours Standard statistical distributions, independence of mean and variance for a Gaussian sample, basic limit theorems; point and interval estimation, tests of statistical hypotheses, NeymanPearson theorem; likelihood ratio and other parametric and nonparametric tests.
(RE) Prerequisite(s): 423.



MATH 431  Differential Equations II 3 Credit Hours A second course in ordinary differential equations. Linear systems of differential equations. Frobenius method, SturmLiouville eigenvalue problems, and phase plane analysis.
(RE) Prerequisite(s): 231; 200 or 251 or 257.



MATH 435  Partial Differential Equations 3 Credit Hours Separation of variables, Fourier series, solution of Laplace, wave, and heat equations.
(RE) Prerequisite(s): 231; 241 or 247.



MATH 443  Complex Variables 3 Credit Hours Introduction to the theory of functions of a complex variable, including residue theory and contour integrals.
(RE) Prerequisite(s): 241 or 247.



MATH 445  Advanced Calculus I 3 Credit Hours Introduction to the theory of sequences, series, differentiation, and Riemann integration of functions of one or more variables.
(RE) Prerequisite(s): 241 or 247; 300 or 307.



MATH 446  Advanced Calculus II 3 Credit Hours Continuation of 445.
(RE) Prerequisite(s): 445.



MATH 447  Honors: Advanced Calculus I 3 Credit Hours Honors version of 445.
(RE) Prerequisite(s): 341. Comment(s): Or honors mathematics concentration.



MATH 448  Honors: Advanced Calculus II 3 Credit Hours Continuation of 447.
(RE) Prerequisite(s): 447.



MATH 453  Matrix Algebra II 3 Credit Hours Advanced topics in matrix theory, including the Jordan canonical form.
(RE) Prerequisite(s): 200 or 251 or 257.



MATH 455  Abstract Algebra I 3 Credit Hours Introduction to algebraic structures such as groups, rings, fields, vector spaces, and linear transformations.
(RE) Prerequisite(s): 251 or 257; 300 or 307.



MATH 456  Abstract Algebra II 3 Credit Hours Continuation of 455.
(RE) Prerequisite(s): 455.



MATH 457  Honors: Abstract Algebra I 3 Credit Hours Honors version of 455.
(RE) Prerequisite(s): 351.



MATH 458  Honors: Abstract Algebra II 3 Credit Hours Continuation of 457.
(RE) Prerequisite(s): 457.



MATH 460  Geometry 3 Credit Hours Axiomatic and historical development of neutral, Euclidean, and hyperbolic geometry stressing proof technique and critical reasoning. Models of NonEuclidean geometries.
(RE) Prerequisite(s): 300 or 307.



MATH 462  Differential Geometry 3 Credit Hours Classical differential geometry of curves and surfaces: Frenet frames, first and second fundamental forms, Gauss curvature and mean curvature, geodesics and parallel transport, the GaussBonet theorem, geometry of the hyperbolic plane.
(RE) Prerequisite(s): 241 or 247.



MATH 467  Honors: Topology 3 Credit Hours Includes topology of line and plane, separation properties, compactness, connectedness, continuous functions, homeomorphisms, continua, and topological invariants.
(RE) Prerequisite(s): 300 or 307. (DE) Prerequisite(s): 241 or 247.



MATH 471  Numerical Analysis 3 Credit Hours Introduction to computation, instabilities, and rounding. Interpolation and approximation by polynomials and piecewise polynomials. Quadrature and numerical solution of initial and boundary value problems of ordinary differential equations, including stiff systems.
(Same as Computer Science 471.) (RE) Prerequisite(s): 231; 200 or 251 or 257. (DE) Prerequisite(s): 371. Comment(s): Knowledge of highlevel programming language required.



MATH 472  Numerical Algebra 3 Credit Hours Direct and iterative methods for systems of linear equations. Solution of a single nonlinear equation and nonlinear systems. Orthogonal decomposition, least squares, and the algebraic eigenvalue problem.
(Same as Computer Science 472.) (RE) Prerequisite(s): 231; 200 or 251 or 257. (DE) Prerequisite(s): 371. Comment(s): Knowledge of highlevel programming language required.



MATH 475  Industrial Mathematics 3 Credit Hours Modeling, analysis, and computation applied to scientific/technical/industrial problems.
(RE) Prerequisite(s): 231. Recommended Background: Familiarity with operating system and programming language.



MATH 490  Readings in Mathematics 13 Credit Hours Open to superior students. Independent study with faculty guidance.
Repeatability: May be repeated. Maximum 9 hours. Comment(s): Consent of faculty mentor to supervise independent work required. Registration Permission: Consent of department head. 


MATH 495  Math Proficiency 0 Credit Hours Student will demonstrate proficiency in mathematics.
Grading Restriction: Satisfactory/No Credit grading only.



MATH 497  Undergraduate Honors Seminar 2 Credit Hours Forum for presentation of student theses and other undergraduate research projects.
Grading Restriction: Satisfactory/No Credit grading only. Comment(s): Other students may register with permission of the instructor. Registration Restriction(s): Honors mathematics concentration only.



MATH 498  Senior Honors Thesis 13 Credit Hours Students in the mathematics honors program work individually under the direction of a faculty member to write an honors thesis. The thesis must be approved by the departmental honors committee.
Repeatability: May be repeated. Maximum 6 hours.



MATH 499  Seminar in Mathematics 13 Credit Hours Topics vary. Requires outofclass projects and inclass presentations by students. Students must register for the number of credit hours announced for a particular seminar.
Repeatability: May be repeated. Maximum 9 hours. Registration Permission: Consent of instructor. 
