Mathematics Courses
At the end of each course title is listed the typical sememsters the course is offered: Fall (I), Spring (II), Summer (S), or on demand (D). Also, CC listed at the end of a course title indicates that the course is taught with partial or complete usage of Pearson's online software for mathematics courses (Course Compass, sometimes referred to as MML [My Math Lab] within the department).
0003 Beginning and Intermediate Algebra (I, II, S) (CC)
Order of operations, exponentiation, polynomials, functions, graphs, inequalities.
Corequisites: Lab.
Notes: Credit earned in this course may not be applied to the total required for a degree.
1203 (C) College Algebra (I, II, S) (CC)
Solution and application of linear and quadratic equations and inequalities; functions, graphs, and theory of equations; matrix solutions of systems of equations; and basic properties of matrices.
Prerequisites: MATH 0003 or adequate placement scores.
Corequisites: Lab (MATH 1203C only).
Antirequisites: Credit can not be earned for this course and MATH 1285.
Notes: All sections use Course Compass for homework; sections of MATH 1203C use Course Compass for all assignments. MATH 1203 sections meet three times weekly for lecture whereas MATH 1203C sections meet once for lecture and require three hours lab work each week.
1213 Plane Trigonometry (I, II, S) (CC)
Trigonometric functions (sin, tan, sec, csc, etc) and their applications in algebra and geometry.
Prerequisites: MATH 0003 or adequate placement scores.
Corequisites: Lab.
Antirequisites: Credit can not be earned for this course and MATH 1285.
Notes: Two hours each, lecture and lab, are required each week.
1285 Precalculus Mathematics (I, II) (CC)
Topics in algebra (MATH 1203) and trigonometry (MATH 1213).
Prerequisites: One of the following: MATH 0003, adequate placement scores, or one and one-half units of high school algebra and one unit of high school trigonometry.
Antirequisites: Credit can not be earned for this course and either MATH 1203 or MATH 1213.
2043 Survey of Calculus (I, II, S) (CC)
Topics in elementary calculus (MATH 2554) and analytic geometry (MATH 3773).
Prerequisites: MATH 1203 or adequate placement scores.
Antirequisites: Credit can not be earned for this course and MATH 2554.
2053 Finite Mathematics (I, II, S) (CC)
Topics in probability and statistics (STAT 3013), review of algebraic matrices (MATH 1203), and graphical analysis of linear programming (MATH 4203).
Prerequisites: MATH 1203 or adequate placement scores.
Corequisites: Lab.
Notes: Two hours lecture and one hour lab are required each week.
2103 Discrete Mathematics (I, II)
Introductory study of sets, relations, logic, proofs, algorithms, counting methods, graph theory, trees, and Boolean algebras.
Prerequisites: MATH 1203 or adequate placement scores.
2213 Survey of Mathematical Structures I (I, II, S)
Sets and logic, systems of numeration, number systems and operations, elementary number theory.
Prerequisites: MATH 1203.
2223 Survey of Mathematical Structures II (I, II, S)
Geometry and measurement, statistics and probability.
Prerequisites: MATH 1203.
2554 (H) Calculus I (I, II, S)
Introductory study of limits, derivatives, and integrals.
Prerequisites: MATH 1285 or both MATH 1203 and MATH 1213 or adequate placement scores.
Antirequisites: Credit can not be earned for this course and MATH 2043.
Notes: MATH 2554H requires consent of the Honors Director and the instructor.
2564 Calculus II (I, II, S)
Topics include viewing the following in terms of integration and/or differentiation: integration by parts, trig substitutions, partial fractions, parametric equations, coordinate systems, sequences, series.
Prerequisites: MATH 2554.
Notes: MATH 2564H requires consent of the Honors Director and the instructor.
2574 Calculus III (I, II, S)
Differential and integral calculus of several variables, vector calculus, partial derivatives, line integrals.
Prerequisites: MATH 2564.
Notes: MATH 2574H requires consent of the Honors Director and the instructor.
3083 Linear Algebra (I, II, S)
Systems of linear equations, vector spaces, linear transformations, matrices, determinants.
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.
Prerequisites: MATH 2103.
3113 Introduction to Abstract Algebra I (I, II)
Introduction to algebraic structures with emphasis on rigorous justification of results.
Prerequisites: MATH 3083.
3133 History of Mathematics (D)
Prerequisites: MATH 2554 and junior standing.
3203 Theory of Numbers (D)
Prerequisites: MATH 2554 and junior standing.
3353 Numerical Methods (I, II)
Approximate solution of algebraic equations and differential equations. Applications of numerical methods and finite differences to differentiation and integration.
Prerequisites: 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.
Prerequisites: MATH 2574.
3423 Advanced Applied Mathematics (I, II, S)
Matrices, Fourier analysis, partial differential equations.
Prerequisites: MATH 3404.
3443 Complex Variable for Application (II)
Complex analysis, series, conformal mapping.
Prerequisites: MATH 3404.
3773 Foundations of Geometry I (I)
Axiomatic method, Euclidean geometry, non-Euclidean geometry.
Prerequisites: consent of instructor.
3923H Honors Colloquium (D)
Covers a special topic or issue.
Prerequisites: honors candidacy (not restricted to candidacy in mathematics) or consent of instructor.
Notes: May be repeated with different content.
399H Mathematics Honors Course (1-6)
Covers unique material.
Prerequisites: junior standing and consent of instructor.
Notes: May be taken for one to six hours of credit and repeated for a maximum of 12 hours.
400V Directed Readings (D)
Typically involves covering certain books with the instructor by use of homework, projects, and/or essays.
Prerequisites: consent of instructor
4053 Foundations of Mathematics (D)
Prerequisites: consent of instructor
4093 Content and Methods in Teaching Algebra (D)
Methods and techniques of teaching junior high school algebra.
Prerequisites: graduate standing
4103 Finite Dimensional Vector Spaces (D)
Linear functionals, matrix representation of linear transformations, scalar product, spectral representation of linear transformations.
Prerequisites: 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.
Prerequisites: 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.
Prerequisites: MATH 3404.
4203 Linear Programming and Game Theory (D)
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, Gödel's incompleteness theorems, and the limitative theorems of Tarski and Church (Same as PHIL 4263.)
Prerequisites: 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.
Prerequisites: 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.
Prerequisites: programming experience and MATH 4513 or consent.
4433 Integral Transform Theory (D)
Linear differential equations, Laplace transforms, transfer functions, solution stability, Fourier transforms, the two sided Laplace transform, limitations of these methods, the Z transform.
Prerequisites: consent of instructor.
4453 Integral Equations (D)
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.
Prerequisites: MATH 4523.
4503 Differential Geometry and Vector Calculus (D)
Differential and integral vector calculus, Stoke's Theorem in 3-space, classical differential geometry in 3-space (curves, surfaces), differential forms, general Stoke's Theorem, applications to hydrodynamics, and electromagnetism.
4513 Advanced Calculus I (I)
The real and complex number systems, basic set theory, topology, sequences, series, continuity, differentiation, Taylor's theorem. Emphasis is placed on careful mathematical reasoning.
Prerequisites: MATH 2574 and MATH 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.
Prerequisites: MATH 4513.
4653 Introduction to Higher Geometry I (D)
Prerequisites: MATH 3113 and consent of instructor
4663 Introduction to Higher Geometry II (D)
Prerequisites: MATH 4653.
4703 Introduction to Point-Set Topology (D)
Prerequisites: MATH 4513.
4783 Foundations of Geometry II (II, S)
Transformational geometries, dualities, problem solving with linear isometric affine inversive and projective transformations, topics from projective geometry, and convex geometry.
Prerequisites: MATH 3773 or consent of instructor.
4913 Content and Methods in Teaching Geometry (D)
Methods and techniques of teaching junior high and high school geometry.
Prerequisites: graduate standing
4923 Content and Methods in Teaching General Mathematics (D)
Methods and techniques of teaching junior high and high school general mathematics.
Prerequisites: graduate standing.
498V Senior Thesis (D)
Typically involves independent research and presentation of a paper in an advanced area of mathematics (something not fully covered in undergraduate courses).
Prerequisites: consent.
Notes: May earn anywhere from one to six hours of credit.