Apr 24, 2024  
2020-2021 Undergraduate Catalog 
    
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2020-2021 Undergraduate Catalog [ARCHIVED CATALOG]

Course Descriptions

General Education Designations

Registration Notes

Academic Disciplines Chart

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 2020-2021 Academic Discilines  
 

(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 real-world 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 real-world 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 MATH 123 * or MATH 125 * but whose placement test scores indicated additional preparation is necessary.

    Grading Restriction: Satisfactory/No Credit grading only.
    Credit Restriction: Students who receive a grade of C or better in any course numbered 123 or higher (except for MATH 202 *) may not subsequently receive credit for MATH 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): MATH 119  with a grade of C or better, or MATH 130  with a grade of C or better, or MATH 131  with a grade of C or better, or MATH 125 * or MATH 132 * or MATH 141 * or MATH 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 MATH 132 *, MATH 141 *, MATH 147 *, or MATH 152 * may not subsequently receive credit for MATH 125*.
    (RE) Prerequisite(s): MATH 119  with a grade of C or better, or MATH 130  with a grade of C or better, or MATH 123 *.
  

  • MATH 130 - Precalculus I

    4 Credit Hours
    Review of algebraic, logarithmic, exponential, and trigonometric functions.

    Credit Restriction: Students who receive a grade of C or better in MATH 132 *, MATH 141 *, MATH 147 *, or MATH 151 * may not subsequently receive credit for MATH 130.
    (RE) Prerequisite(s): MATH 119  with a grade of C or better, or appropriate placement exam score.
    Comment(s): For students who satisfy the course prerequisites for MATH 132 *, MATH 141 * or MATH 151 *, but whose placement test scores indicate additional preparation is necessary.
  

  • MATH 131 - Calculus 1A Infused with Precalculus

    3 Credit Hours
    Single variable calculus, infused with precalculus, especially for students of science, engineering, mathematics, and computer science. Differential calculus with applications and relevant precalculus.

    Credit Restriction: Students who receive a grade of C or better in MATH 141 *, MATH 147 *, or MATH 152 * may not subsequently receive credit for MATH 131.
    (RE) Prerequisite(s): Appropriate placement exam score.
  

  • MATH 132 - Calculus 1B Infused with Precalculus

    3 Credit Hours
    Continuation of MATH 131 .

    Satisfies General Education Requirement: (QR)
    (RE) Prerequisite(s): MATH 131 .
  

  • 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)
    Credit Restriction: Students who receive a grade of C or better in MATH 132 * may not subsequently receive credit for MATH 141*.
    (RE) Prerequisite(s): MATH 130  with a grade of C or better.
  

  • 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): MATH 132 * or MATH 141 * or MATH 147 *.
  

  • MATH 147 - Honors: Calculus I

    4 Credit Hours
    Honors version of MATH 141 * for well-prepared students.

    Satisfies General Education Requirement: (QR)
    Credit Restriction: Credit will not be given for both MATH 147* and MATH 132 *, MATH 141 *, or MATH 152 *.
    (RE) Prerequisite(s): MATH 130  with a grade of C or better.
    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 MATH 142 * for well-prepared students.

    Satisfies General Education Requirement: (QR)
    (RE) Prerequisite(s): MATH 147 *.
    Comment(s): Students should have a 32 mathematics ACT score or a 700 quantitative SAT score and credit for MATH 132 * or MATH 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 MATH 231  or MATH 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): MATH 130  with a grade of C or better.
  

  • 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 MATH 132 * or MATH 141 * cannot subsequently receive credit for MATH 152*.
    (RE) Prerequisite(s): MATH 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): MATH 132 * or MATH 141 * or MATH 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 MATH 251  may not subsequently receive credit for MATH 200.
    Comment(s): For students in the Tickle 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 three-space geometry. Congruence and similarity. Constructions with compass and straightedge. Transformations and area and volume measurement. Turtle graphs.

    Satisfies General Education Requirement: (QR)
  

  • MATH 231 - Differential Equations I

    3 Credit Hours
    First course emphasizing solution techniques. Includes first-order equations and applications, theory of linear equations, equations with constant coefficients, Laplace transforms, and series solutions.

    (RE) Prerequisite(s): MATH 142 * or MATH 148 *.
  

  • MATH 237 - Honors: Differential Equations I

    3 Credit Hours
    Honors version of MATH 231 .

    (RE) Prerequisite(s): MATH 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): MATH 142 * or MATH 148 *.
  

  • MATH 247 - Honors: Calculus III

    4 Credit Hours
    (RE) Prerequisite(s): MATH 148 *.
    Comment(s): Students should have a 32 mathematics ACT score or a 700 quantitative SAT score and credit for MATH 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): MATH 142 * or MATH 148 *.
  

  • MATH 257 - Honors: Matrix Algebra I

    3 Credit Hours
    (RE) Prerequisite(s): MATH 148 *.
  

  • MATH 295 - Introduction to Mathematical Sciences

    1 Credit Hours
    Introduction to areas of study, degree options, career choices, and professional development in the mathematical sciences.

    Grading Restriction: Satisfactory/No Credit grading only.
  

  • MATH 299 - Studies in Mathematics

    1-3 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): MATH 142 * or MATH 148 *.
  

  • MATH 307 - Honors: Introduction to Abstract Mathematics

    3 Credit Hours
    Honors version of MATH 300 .

    (RE) Prerequisite(s): MATH 142 * or MATH 148 *.
    Comment(s): For current and prospective math majors, honors students, and well-prepared students.
  

  • MATH 309 - Putnam Preparation Seminar

    1 Credit Hours
    Problem-solving 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): MATH 241  or MATH 247 ; MATH 300  or MATH 307 .
  

  • MATH 341 - Introduction to Analysis

    3 Credit Hours
    Introduction to limits, sequences, the topology of the real line, and functions of a real variable.

    (RE) Prerequisite(s): MATH 241  or MATH 247 ; MATH 300  or MATH 307 .
  

  • MATH 351 - Introduction to Abstract Algebra

    3 Credit Hours
    Introduction to abstract algebra emphasizing integers and polynomial rings.

    (RE) Prerequisite(s): MATH 251  or MATH 257 ; MATH 300  or MATH 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 least-squares, differentiation, integration, and solving ordinary differential equations.

    Credit Restriction: Students may not receive credit for both MATH 371 and COSC 370 .
    (RE) Prerequisite(s):  MATH 231 ; MATH 200  or MATH 251  or MATH 257 .
    Comment(s): Knowledge of high-level programming language required.
  

  • MATH 395 - Communicating Mathematics

    1 Credit Hours
    Course description: Oral communication of mathematical ideas in various contexts from presentations to informal conversations and group work.

  

  • 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

    1-3 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 in-class essay examination and 3,000 words of writing outside the classroom. Writing-emphasis course.

    (RE) Prerequisite(s): MATH 251  or MATH 257 .
    (DE) Prerequisite(s): MATH 300  or MATH 307 .
  

  • MATH 403 - Mathematical Methods for Engineers and Scientists

    3 Credit Hours
    Matrix computations, numerical methods, partial differential equations, Sturm-Liouville Theory and special functions as used in engineering and science.

    (RE) Prerequisite(s): MATH 231 ; MATH 241  or MATH 247 .
    Comment(s): Knowledge of high-level 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): MATH 241  or MATH 247 .
  

  • MATH 405 - Models in Biology

    3 Credit Hours
    Difference and differential equation models of biological systems.

    (Same as EEB 406 .)
    (RE) Prerequisite(s): MATH 142 * or MATH 148 * or MATH 152 *.
  

  • MATH 411 - Mathematical Modeling

    3 Credit Hours
    Construction and analysis of mathematical models used in science and industry. Projects emphasized. Writing-emphasis course.

    (RE) Prerequisite(s): MATH 231 ; MATH 241  or MATH 247 ; MATH 200  or MATH 251  or MATH 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): MATH 251  or MATH 257 .
  

  • 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): MATH 241  or MATH 247 ; MATH 300  or MATH 307 .
    (DE) Prerequisite(s): MATH 323 .
  

  • MATH 424 - Stochastic Processes

    3 Credit Hours
    Markov chains, Poisson processes and Brownian motion. Other topics as selected by instructor.

    (RE) Prerequisite(s): MATH 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, Neyman-Pearson theorem; likelihood ratio and other parametric and nonparametric tests.

    (RE) Prerequisite(s): MATH 423 .
  

  • MATH 431 - Differential Equations II

    3 Credit Hours
    A second course in ordinary differential equations. Linear systems of differential equations. Frobenius method, Sturm-Liouville eigenvalue problems, and phase plane analysis.

    (RE) Prerequisite(s): MATH 231 ; MATH 200  or MATH 251  or MATH 257 .
  

  • MATH 435 - Partial Differential Equations

    3 Credit Hours
    Separation of variables, Fourier series, solution of Laplace, wave, and heat equations.

    (RE) Prerequisite(s): MATH 231 ; MATH 241  or MATH 247 .
  

  • MATH 441 - Advanced Calculus

    3 Credit Hours
    Introduction to the topology of R^n, functions of multiple variables, and multivariable advanced calculus.

    Credit Restriction: Students who receive a grade of C or better in MATH 447  may not subsequently receive credit for MATH 441.
    (RE) Prerequisite(s): MATH 341 .
  

  • MATH 443 - Complex Variables

    3 Credit Hours
    Introduction to the theory of functions of a complex variable, including contour integrals and conformal mapping properties.

    (RE) Prerequisite(s): MATH 241  or MATH 247 .
  

  • MATH 447 - Honors: Analysis I

    3 Credit Hours
    Honors-level introduction to the theory of sequences, series, differentiation, and integration of functions of one or more variables.

    (RE) Prerequisite(s): MATH 341 .
    Comment(s): Or honors mathematics concentration.
  

  • MATH 448 - Honors: Analysis II

    3 Credit Hours
    Continuation of MATH 447 .

    (RE) Prerequisite(s): MATH 447 .
  

  • MATH 450 - Number Theory

    3 Credit Hours
    Primes, Diophantine equations, quadratic reciprocity, cryptography, and other topics in number theory.

    (RE) Prerequisite(s): MATH 351 .
  

  • MATH 451 - Abstract Algebra

    3 Credit Hours
    Topics in groups, rings, and fields.

    Credit Restriction: Students who receive a grade of C or better in MATH 457  may not subsequently receive credit for MATH 451.
    (RE) Prerequisite(s): MATH 351 .
  

  • MATH 453 - Matrix Algebra II

    3 Credit Hours
    Advanced topics in matrix theory, including the Jordan canonical form.

    (RE) Prerequisite(s): MATH 200  or MATH 251  or MATH 257 .
  

  • MATH 457 - Honors: Abstract Algebra I

    3 Credit Hours
    Topics in abstract algebra, including groups, rings, fields, vector spaces, and linear transformations.

    (RE) Prerequisite(s): MATH 351  or honors concentration.
  

  • MATH 458 - Honors: Abstract Algebra II

    3 Credit Hours
    Continuation of MATH 457 .

    (RE) Prerequisite(s): MATH 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 Non-Euclidean geometries.

    (RE) Prerequisite(s): MATH 300  or MATH 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 Gauss-Bonet theorem, geometry of the hyperbolic plane.

    (RE) Prerequisite(s): MATH 241  or MATH 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): MATH 300  or MATH 307 .
    (DE) Prerequisite(s): MATH 241  or MATH 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 COSC 471 .)
    (RE) Prerequisite(s): MATH 231 ; MATH 200  or MATH 251  or MATH 257 .
    (DE) Prerequisite(s): MATH 371 .
    Comment(s): Knowledge of high-level 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 COSC 472 .)
    (RE) Prerequisite(s): MATH 231 ; MATH 200  or MATH 251  or MATH 257 .
    (DE) Prerequisite(s): MATH 371 .
    Comment(s): Knowledge of high-level programming language required.
  

  • MATH 475 - Industrial Mathematics

    3 Credit Hours
    Modeling, analysis, and computation applied to scientific/technical/industrial problems.

    (RE) Prerequisite(s): MATH 231 .
    Recommended Background: Familiarity with operating system and programming language.
  

  • MATH 490 - Readings in Mathematics

    1-3 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

    1-3 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

    1-3 Credit Hours
    Topics vary. Requires out-of-class projects and in-class 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.