0003 Beginning and Intermediate Algebra (I, II, S)

For students who have inadequate preparation for taking MATH 1203. Credit earned in this course may not be applied to the total required for a degree:

Registration in MATH 1203, 1213, or 1285 requires satisfaction of either (1) or (2) below:

(a) Mathematics ACT score of at least 19 (or equivalent SAT); and ACT.EA subscore of at least 9. (b) Sufficient score(s) on the Mathematics Placement Test as indicated in the advising materials.
Grade of at least "C" in MATH 0003.

1203 College Algebra (I, II, S)

Credit will be allowed for only one of MATH 1203, and MATH 1285. Prerequisite: See above.

1213 Plane Trigonometry (I, II, S)

Credit will be allowed for only one of either MATH 1213 or MATH 1285. Prerequisite: See above.

1285 Precalculus Mathematics (I, II)

Topics in algebra and trigonometry. To be taken by students who expect to take MATH 2555. Prerequisite: one and one-half units of high school algebra and one unit of high school trigonometry or consent. No credit can be given for those who have completed MATH 1203 and/or MATH 1213. See above.

Registration in MATH 2043, 2053, or 2554 is permitted if the following is satisfied instead of the listed prerequisite: The student scores sufficiently high according to the placement scores. This placement is indicated in the advising material for each student

2213 Survey of Mathematical Structures I (I, II, S)

Sets and logic, systems of numeration, number systems and operations, elementary number theory. Prerequisite: MATH 1203.

2223 Survey of Mathematical Structures II (I, II, S)

Geometry and measurement, statistics and probability. Prerequisite: MATH 1203.

2554 Calculus I (I, II, S)

Credit will be allowed for only one of MATH 2043 and MATH 2554. Prerequisite: MATH 1203 and 1213 or 1285.

2554H Honors Calculus I (I)

Topics in analytic geometry and calculus. Prerequisite: consent of the Honors Director and the instructor. Students may not receive credit for both MATH 2043 and MATH 2554.

2564 Calculus II (I, II, S)

Integral calculus of one variable and infinite series. Prerequisite: MATH 2554.

2564H Honors Calculus II (II)

Integral calculus of one variable and infinite series. Prerequisite: MATH 2554 and consent of the Honors Director and the instructor.

2574 Calculus III (I, II, S)

Differential and integral calculus of several variables, vector calculus. Prerequisite: MATH 2564.

2574H Honors Calculus III (On Demand)

Differential and integral calculus of several variables, vector calculus. Prerequisite: MATH 2564 and consent of the Honors Director and the instructor.

3083 Linear Algebra (I, II, S)

Systems of linear equations, vector spaces, linear transformations, matrices, determinants. Prerequisite: MATH 2554 or 2043.

3103 Combinatorial and Discrete Mathematics (I, II, S)

Basic combinatorial techniques including the study of networks, generating functions, principles of inclusion/exclusion, Hamming coding theory, graph theory, and block designs. Prerequisite: MATH 2103.

3113 Introduction to Abstract Algebra I (I, II)

Introduction to algebraic structures with emphasis on rigorous justification of results. Prerequisite: MATH 3083.

3133 History of Mathematics (On Demand)

Prerequisite: MATH 2554 and junior standing.

3203 Theory of Numbers (On Demand)

Prerequisite: MATH 2554 and junior standing.

3353 Numerical Methods (I, II)

Approximate solution o~ algebraic equations and differential equations. Applications of numerical methods and finite differences to differentiation and integration. Prerequisite: MATH 2574 and proficiency in a high-level computer language.

3404 Differential Equations (I, II, S)

First and second order ordinary differential equations, the Laplace transform, matrix systems of ordinary differential equations. Prerequisite: MATH 2574.

3423 Advanced Applied Mathematics (I, II, S)

Matrices, Fourier analysis, partial differential equations. Prerequisite: MATH 3404.

3443 Complex Variable for Application (II)

Complex analysis, series, conformal mapping. Prerequisite: MATH 3404.

3773 Foundations of Geometry I (I)

Axiomatic method; Euclidean geometry; non-Euclidean geometry. Prerequisite: consent of instructor

3923H Honors Colloquium (On demand)

Covers a special topic or issue, offered as part of the honors program. May be repeated when the content is changed. Prerequisite: honors candidacy (not restricted to candidacy in mathematics) or consent of instructor.

399H Mathematics Honors Course (1-6)

May be taken for one to six hours of credit and repeated for a maximum of 12 hours. Prerequisite: junior standing and consent of instructor.

400V Directed Readings

4053 Foundations of Mathematics (On demand)

Prerequisite: consent of instructor

4093 Content and Methods in Teaching Algebra (On demand)

Offered in in-service classes and special summer institutes. Subject matter: methods and techniques of teaching junior high school algebra. Prerequisite: graduate standing

4103 Finite Dimensional Vector Spaces (On demand)

Linear functionals, matrix representation of linear transformations, scalar product, spectral representation of linear transformations. Prerequisite: MATH 3083 or consent of instructor.

4113 Introduction to Abstract Algebra II (l)

Topics in abstract algebra including finite abelian groups, linear groups, factorization in commutative rings, quadratic field extensions, Gaussian integers, Wedderburn s theorem, and multilinear algebra. Prerequisite: MATH 3113.

4153 Mathematical Modeling (I)

Mathematical techniques for formulating, analyzing, and criticizing deterministic models taken from the biological, social, and physical sciences. Techniques include graphical methods, stability, optimization, and phase plane analysis. Prerequisite: MATH 3404.

4203 Linear Programming and Game Theory (On demand)

Solution sets, duality, and pivoting in linear programming. Feasible solutions and the simplex method. The transportation problem. Matrix games Prerequisites: MATH 3083 and proficiency in a high-level computer language.

4253 Symbolic Logic I (I)

Rigorous analyses of the concepts of proof, consistency, equivalence, validity, implication, and truth. Full coverage of truth-functional logic and quantification theory (predicate calculus) Discussion of the nature and limits of mechanical procedures (algorithms) for proving theorems in logic and mathematics. Informal accounts of the basic facts about infinite sets. (Same as PHIL 4253.)

4263 Symbolic Logic II (II)

Topics include: soundness and completeness of propositional logic, soundness and completeness of quantification theory, the elements of model theory and recursion theory, Godel s incompleteness theorems, and the limitative theorems of Tarski and Church (Same as PHIL 4263.) Prerequisite: MATH 4253 or PHIL 4253.

4353 Numerical Linear Algebra (II)

Numerical methods for problems of linear algebra, including the solution of very large systems, eigenvalues, and eigenvectors. Prerequisite: programming experience and MATH 3083.

4363 Numerical Analysis (I)

General iterative techniques, error analysis, root finding, interpolation, approximation, numerical integration, numerical solution of differential equations Prerequisite: programming experience and MATH 4513 or consent.

4433 Integral Transform Theory (On demand)

Linear differential equations, Laplace transforms, transfer functions, solution stability. Fourier transforms, the two sided Laplace transform, limitations of these methods, the Z transform. Prerequisite: consent of instructor.

4453 Integral Equations (On demand)

Eigenvalues and eigenfunctions of linear integral operators, including the Fredholm Alternative. Volterra equations Discussion of existence and uniqueness of solutions of nonlinear integral equations. Numerical methods. Prerequisite: MATH 4523.

4503 Differential Geometry and Vector Calculus (On demand)

Topics include: Vector differential and integral calculus, Stokes Theorem in 3-space, classical differential geometry in 3-space (curves, surfaces), differential forms, general Stokes Theorem, applications to hydrodynamics, and electromagnetism. Prerequisites: MATH 3083, MATH 4513, or consent.

4513 Advanced Calculus I (I)

The real and complex number systems basic set theory and topology sequences and series continuity differentiation Taylor s theorem Emphasis is placed on careful mathematical reasoning. Prerequisite: MATH 2574 and 3083 or consent of instructor.

4523 Advanced Calculus II (II)

The Riemann-Stieljes integral uniform convergence of functions Fourier series, implicit function theorem, Jacobians, and derivatives of higher order. Prerequisite MATH 4513.

4653 Introduction to Higher Geometry I

Prerequisite MATH 3113 and consent of instructor

4663 Introduction to Higher Geometry II

Prerequisite: MATH 4653.

4703 Introduction to Point-Set Topology

Prerequisite: MATH 4513

4783 Foundations of Geometry II (II, S)

Transformational geometries and dualities problem solving with linear isometric affine inversive and projective transformations. Selected topics from projective geometry and convex geometry. Prerequisite: MATH 3773 or consent of instructor.

4913 Content and Methods in Teaching Geometry

Offered in in-service classes and special summer institutes. Subject matter methods and techniques of teaching junior high and high school geometry. Prerequisite: graduate standing

4923 Content and Methods in Teaching General Mathematics

Offered in in-service classes and special summer institutes. Subject matter methods and techniques of teaching junior high and high school general mathematics. Prerequisite: graduate standing.

498V Senior Thesis (1-6)

Prerequisite: consent.

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