| 050 Precollege Mathematics I U 5 |
| | Arithmetic of fractions and decimals, basic algebra, graphing equations, geometry, exponents, applications of exponents, lines and slopes, area. |
| | Su, Au, Wi, Sp Qtrs. 5 cl. Not open to students with credit for any higher numbered math course. Credit will not count toward graduation in any degree program. |
| 075 Precollege Mathematics II U 4 |
| | Factoring, rational expressions and equations, graphs, systems of linear equations and inequalities, problem solving, roots and radicals, quadratic equations, complex numbers. |
| | Su, Au, Wi, Sp Qtrs. 4 cl. Prereq: 050 or satisfactory score on Ohio State Math Placement Test. Not open to students with credit for any math course except 050. Credit will not count toward graduation in any degree program. |
| 076^ Reentry Precollege Mathematics U 4 |
| | Systems of equations, arithmetic of polynomials, factoring, fractional equations, variation, quadratic equations, functions, graphs, and right angle trig. |
| | Wi Qtr. 4 cl. Prereq: At least one yr of high school algebra, out of high school for 5 or more yrs at time of university enrollment, no formal training in math in the past 5 yrs, and written permission of Dept of Mathematics. Not open to students with a mark in any Ohio State math course within the past 5 yrs. Credit will not count toward graduation in any degree program. |
| 103^ Enrichment of Basic College Mathematics U 2 |
| | Supplement to Math 104 using small group interaction and active learning to enhance the development of skills necessary to succeed in 104 and subsequent courses. |
| | Au Qtr. 2 cl. Prereq: New first quarter freshman, no math admission condition, and Math Placement T or S; concur: 104. This course is not repeatable under any circumstances (not through audit, repeating a D, repeating an E or NP, Fresh Start, Freshman Forgiveness, transfer credit, or any other means). Credit may not count toward graduation in some degree programs. |
| 104 Basic College Mathematics U 5 |
| | Systems of equations, arithmetic of polynomials, rational expressions, factoring, fractional equations, inequalities, exponents, quadratic equations, absolute values, functions, and graphs. |
| | Su, Au, Wi, Sp Qtrs. 5 cl. Prereq: 050 or satisfactory score on Ohio State Math Placement Test or permission of dept. Not open to students with credit for 130, or 148, or 150, or 151. Credit may not count toward graduation in some degree programs. |
| 105 Fundamental Mathematics Concepts for Teachers I U 5 |
| | Development of basic ideas of arithmetic, algebra and geometry as appropriate for school teachers. |
| | Su, Au, Wi Qtrs. 5 cl. Prereq: 075 or 076 or satisfactory score on Ohio State Math Placement Test. 105N open only to Rank 4 and GRD EDU students, and to students who've applied to GRD EDU. |
| 106 Fundamental Mathematics Concepts for Teachers II U 5 |
| | Continuation of 105. |
| | Wi, Sp Qtrs. 5 cl. Prereq: 105 or written permission of dept. 106N open only to Rank 4 and GRD EDU students, and to students who've applied to GRD EDU. |
| 107 Topics in Mathematics for Elementary Teachers U 5 |
| | Further topics in mathematics selected by the instructors to broaden the mathematical perspectives of elementary teachers. |
| | Au, Sp Qtrs. 5 cl. Prereq: 106 or written permission of dept. |
| 116 Excursions in Mathematics U 5 |
| | Critical thinking and problem solving, with relevant topics met in everyday life; appropriate for non-physical sciences. |
| | Su, Wi, Sp Qtrs. 5 cl. Prereq: 075 or 076 or 104 or satisfactory score on mathematics placement test. Not open to students with credit for 153. |
| 117 Survey of Calculus U 5 |
| | An introduction to differential and integral calculus. |
| | Au, Wi, Sp Qtrs. 5 cl. Prereq: 148 or 150 or Level L on Ohio State Math Skills Assessment or permission of dept. Not open to students with credit for 132 or 151. This course is not designated for students pursuing majors in business or the sciences. |
| 130 Mathematical Analysis for Business I U 4 |
| | Equations, inequalities, absolute value, polynomial functions, matrices, applications to business. |
| | Su, Au, Wi, Sp Qtrs. 4 cl. Prereq: 104 or placement M or N on the OSU Math placement test, or written permission of department. Not open to students with credit for 150 or higher numbered mathematics course. This course is available for EM credit. |
| 131 Mathematical Analysis for Business II U 4 |
| | Differential calculus, limits, definition of derivative, calculation of derivatives, curve sketching, applications. |
| | Su, Au, Wi, Sp Qtrs. 4 cl. Prereq: 130 or 148 or 150 or Math Placement Course Code L. Not open to students with credit for 151 or higher. |
| 132 Mathematical Analysis for Business III U 5 |
| | Integral calculus, indefinite integration, area and definite integrals, improper integrals, functions of several variables, maxima, minima. |
| | Su, Au, Wi, Sp Qtrs. 5 cl. Prereq: 131 or 151. Not open to students with credit for 152 or higher. |
| 140^ Calculus with Review I U 5 |
| | Review of polynomial and rational functions, difference quotients, limits, continuity, derivatives, chain rule, higher order derivatives, implicit differentiation, related rates. |
| | Au Qtr. 5 cl. Prereq: Course Code N placement and 4 or more units of college prep math, including trigonometry; or written permission of dept. Not open to students with credit for 151. The first part of a two-part sequence that consolidates the material of Math 148, 150, 151. The follow up course is Math 141. Students who do not succeed in this course must go back to Math 148. |
| 141^ Calculus with Review II U 5 |
| | Trigonometric review, differentiation of the trigonometric functions, review of exponential and logarithmic functions, mean value theorem, applications to curve sketching, applied maxima and minima problems. |
| | Wi Qtr. 5 cl. Prereq: Grade of C- or better in 140. Not open to students with credit for 151. The second of a two-part sequence that consolidates the material from 148, 150 and 151 into two courses and prepares students for 152. |
| 148 Algebra and Trigonometry and Their Applications U 4 |
| | Applications from chemistry, physics and biology involving integer and rational exponents, solving and graphing linear and quadratic equations, systems of equations, trigonometry of acute angles, vectors and exponential equations. |
| | Su, Au, Wi, Sp Qtrs. 4 cl. Prereq: 104 or satisfactory score on Ohio State Math Placement Test. Not open to students with credit for 150 or higher numbered mathematics course. |
| 150 Elementary Functions U 5 |
| | Inverse functions, logarithmic, exponential and trigonometric functions, and their graphs; complex numbers. |
| | Su, Au, Wi, Sp Qtrs. 5 cl. Prereq: 148 or satisfactory score on Ohio State Math Placement Test or permission of dept. Not open to students with credit for 151, 161, H161, or H190. This course is available for EM credit. |
| 151 Calculus and Analytic Geometry I U 5 |
| | Limits, continuity, derivatives, Mean Value Theorem, extrema, curve sketching, related rates, differentiation of the trig, log, and exp functions. |
| | Su, Au, Wi, Sp Qtrs. 5 cl. Prereq: C- or better in 150 or satisfactory score on Ohio State Math Placement Test. Not open to students with credit for 152 or higher; use of the Freshman Forgiveness Rule is restricted by this exclusion. GEC math and logical analysis course. This course is available for EM credit. |
| 152 Calculus and Analytic Geometry II U 5 |
| | Integrals, area, fundamental theorems of calculus, logarithmic and exponential functions, trigonometric and inverse trigonometric functions, methods of integration, applications of integration, polar coordinates. |
| | Su, Au, Wi, Sp Qtrs. 5 cl. Prereq: C- or better in 141 or 151. Not open to students with credit for 153 or higher; use of the Freshman Forgiveness Rule is restricted by this exclusion. GEC math and logical analysis course. This course is available for EM credit. |
| 153 Calculus and Analytic Geometry III U 5 |
| | Indeterminate forms, Taylor's formula, improper integrals, infinite series, parametric curves, and vectors in the plane; vectors, curves, and surfaces in space. |
| | Su, Au, Wi, Sp Qtrs. 5 cl. Prereq: C- or better in 152 or 161 or H161. Not open to students with credit for 254 or higher; use of the Freshman Forgiveness Rule is restricted by this exclusion. This course is available for EM credit. |
| 161 Accelerated Calculus with Analytic Geometry I U 5 |
| | Functions, limits and continuity, derivatives, applications of the derivative, the integral, inverse functions, techniques of integration, applications of integration. |
| | Au Qtr. 5 cl. H161 (honors) may be available to students enrolled in an honors program or by permission of department or instructor. Prereq: Course Code L placement and high school calculus experience or permission of dept; prereq for H161: Math 151 or permission of dept. 161 not open to students with credit for 152; H161 has no exclusion. The sequence 161-162-263 covers calculus at an accelerated pace for students with superior algebraic and geometric skills, and with previous calculus experience. 161 assumes mastery of the computational aspects of polynomial and trigonometric differentiation and will concentrate on integral calculus. |
| 162 Accelerated Calculus with Analytic Geometry II U 5 |
| | Improper integrals; polynomial approximations and Taylor's theorem; infinite sequences and series; tests for convergence, vectors, lines and planes. |
| | Wi Qtr. 5 cl. H162 (honors) may be available to students enrolled in an honors program or by permission of department or instructor. Prereq: 161 or written permission of Math Counseling Office. Not open to students with credit for 153. |
| 187 Topics in Mathematics U 2-5 |
| | An enrichment course for interested and capable students. |
| | Au Qtr. H187 (honors) may be available to students enrolled in an honors program or by permission of department or instructor. Prereq: Permission of dept. Repeatable to a maximum of 10 cr hrs. This course is graded S/U. |
| 188^ Invitation to Actuarial Science U 1 |
| | Introduction to some basic ideas of life, health, and property and casualty insurance; presentations by practicing actuaries on aspects of the actuarial profession. |
| | Sp Qtr. 1 2-hr cl. Prereq: 151, 161, H161, or H190; or permission of instructor. This course is graded S/U. |
| H190 Elementary Analysis I U 5 |
| | The first of an enriched honors calculus sequence designed to introduce students to the mathematical underpinnings of analysis. |
| | Au Qtr. 5 cl. Prereq: Permission of dept. H190, H191, and H264 substitute for 151, 152, 153, 254, and 551. |
| H191 Elementary Analysis II U 5 |
| | Continuation of H190. |
| | Wi Qtr. 5 cl. Prereq: H190 with a grade of C or better or written permission of Honors Committee chairperson. |
| 194 Group Studies in Mathematics U 2-5 |
| | Designed to give groups of students an opportunity to pursue special studies not otherwise offered. |
| | Su, Au, Wi, Sp Qtrs. Prereq: Permission of dept. Repeatable to a maximum of 10 cr hrs. |
| 254 Calculus and Analytic Geometry IV U 5 |
| | Partial differentiation, Lagrange multipliers, multiple integrals, line integrals, and Green's theorem. |
| | Su, Au, Wi, Sp Qtrs. 5 cl. Prereq: 153. Not open to students with credit for 255 or higher; use of the Freshman Forgiveness Rule is restricted by this exclusion. This course is available for EM credit. |
| 255 Differential Equations and Their Applications U 5 |
| | Basic concepts and methods in solving ordinary differential equations, first and second order, linear differential equations, series solutions, numerical methods, Laplace transforms, physical applications. |
| | Su, Au, Wi, Sp Qtrs. 5 cl. Prereq: 254. Not open to students with credit for 415. |
| 263 Accelerated Calculus with Analytic Geometry III U 5 |
| | Multivariable calculus (vector approach), line and surface integrals, vector differential operators. |
| | Sp Qtr. 5 cl. H263 (honors) may be available to students enrolled in an honors program or by permission of department or instructor. Prereq: 162 or written permission of Math Counseling Office. |
| H264 Elementary Analysis III U 5 |
| | Continuation of H191; a rigorous treatment of multivariable calculus including gradients, multiple integrals, line and surface integrals, Green's theorem, the divergence theorem, and Stokes' theorem. |
| | Sp Qtr. 5 cl. Prereq: H191 with a grade of C or better or written permission of Honors Committee chairperson. |
| 283 Number Theory |
| | An intensive introduction to mathematics as problem-solving; experimentation, conjecture and proof; divisibility, quadratic fields, geometry of numbers. |
| | Su Qtr. Prereq: Written permission of instructor and performance on a take-home problem set. |
| | 283.01^ Lectures in Number Theory U 3-6 |
| | | 5 cl for 8 wks. Repeatable to a maximum of 6 cr hrs. |
| 294 Special Topics in Mathematics U 2-5 |
| | Designed to give groups of able students an opportunity to pursue special studies not otherwise offered. |
| | Su, Au, Wi, Sp Qtrs. H294 (honors) may be available to students enrolled in an honors program or by permission of department or instructor. Prereq: Permission of dept. Repeatable to a maximum of 10 cr hrs. |
| 345 Foundations of Higher Mathematics U 4 |
| | Designed to prepare students for higher mathematics; an introduction to logic, proof techniques, set theory, number theory, integers, real numbers. |
| | Au, Sp Qtrs. 4 cl. Prereq: 254 or equiv with written permission of dept. Intended primarily for math majors. |
| 366 Discrete Mathematical Structures I U 3 |
| | Mathematical formalization and reasoning, logic, and Boolean algebra; sets, functions, relations, recursive definitions, and mathematical induction; and elementary counting principles. |
| | Su (1st term), Au, Wi, Sp Qtrs. 3 cl. Prereq: 132 or 152 or permission of dept. |
| 414^ Differential Equations for Engineering Applications U 3 |
| | Introduction to the basic methods for solving ordinary and partial differential equations, and some applications. |
| | Sp Qtr. 3 cl. Prereq: 254; concur: Aero Eng 414; or permission of instructor. Not open to students with credit for 255 or 415. This course is linked to Aero Eng 414 where significant engineering applications will be presented. Students enrolled in this course must be simultaneously enrolled in Aero Eng 414. |
| 415 Ordinary and Partial Differential Equations U 4 |
| | Ordinary, partial, linear, and nonlinear differential equations; Fourier series; boundary value problems; and Bessel functions. |
| | Su, Au, Wi, Sp Qtrs. 4 cl. Prereq: 254. Not open to students with credit for 255. |
| H487 Advanced Problem Solving U 2 |
| | An advanced enrichment course for interested and capable students. |
| | Au Qtr. 2 cl. Prereq: Permission of dept. Repeatable to a maximum of 6 cr hrs. This course is graded S/U. |
| 504 History of Mathematics U G 5 |
| | Development of mathematics from primitive origins to present form; topics include: development of arithmetic, algebra, geometry, trigonometry, and calculus. |
| | Su, Sp Qtrs. 5 cl. Prereq: Math major or grad standing in Edu T&L; and 507, H520, 568, 571, or 580; or equiv with written permission of dept. |
| 507 Advanced Geometry U G 5 |
| | Advanced topics from Euclidean Geometry. |
| | Au, Wi Qtrs. 5 cl. Prereq: H264 or 345 or grad standing. |
| 512 Partial Differential Equations and Boundary Value Problems U G 3 |
| | Fourier series, orthogonality relations, vibrating string, steady state heat, Laplace transform, and applications. |
| | Su (1st term), Au, Wi, Sp Qtrs. 3 cl. Prereq: 255 or 415 or equiv with written permission of dept. |
| 513 Vector Analysis for Engineers U G 3 |
| | Vector algebra, vector operators, line integrals, vector integral theorems, curvilinear coordinates; applications. |
| | Au, Wi Qtrs. 3 cl. Prereq: 254. Not open to students with credit for 551. |
| 514 Complex Variables for Engineers U G 3 |
| | Introduction to complex variables, analytic functions, complex integral theorems, power series, residues, conformal mapping. |
| | Sp Qtr. 3 cl. Prereq: 254 or equiv with written permission of dept. Not open to students with credit for 552 or 654. |
| H520 Linear Algebra U 5 |
| | Vector spaces, linear transformations, systems of equations, determinants, eigenvalues, spectral theorem, and Cayley-Hamilton theorem. |
| | Au Qtr. 5 cl. Prereq: H263 with a grade of C or better, or H264 with a grade of C or better, or written permission of Honors Committee chairperson. |
| H521 Differential Equations U 5 |
| | Ordinary, linear and nonlinear differential equations, existence and uniqueness theorems, Fourier series, boundary value problems, systems, Laplace transforms, phase space, stability, and periodic orbits. |
| | Wi Qtr. 5 cl. Prereq: H520 with a grade of C or better or written permission of Honors Committee chairperson. |
| H522 Complex Analysis U 5 |
| | Analytic functions, Cauchy integral theory, residue calculus, series representations, and conformal mapping. |
| | Sp Qtr. 5 cl. Prereq: H521 with a grade of C or better or written permission of Honors Committee chairperson. The sequence H520-H521-H522 substitutes for 568; 255 or 415; 514 or 552. |
| 530 Probability U G 3 |
| | Combinatorial probability, random variables, independence, expectations, variance. |
| | Au Qtr. 3 cl. Prereq: 254. |
| 532 Mathematical Foundations of Actuarial Science U 3 |
| | Problem workshop for applications of calculus and probability to actuarial science and risk management. |
| | Sp Qtr. 2 1.25-hr cl. Prereq: 530 or Stat 520, or permission of instructor. |
| H540 Geometry and Calculus in Euclidean Spaces and on Manifolds I U G 5 |
| | The topology of n-dimensional Euclidean space, differentiation of vector-valued functions, inverse and implicit function theorems, Riemann and Lebesgue integration in En. |
| | Wi Qtr. 5 cl. Prereq: H520, or H263 and 568, or permission of instructor. Offered in odd-numbered years only. |
| H541 Geometry and Calculus in Euclidean Spaces and on Manifolds II U G 5 |
| | Curves and line integrals in n-dimensional Euclidean space, tensor and exterior algebras, differential forms, integration on manifolds, divergence and Stokes' theorem and applications. |
| | Sp Qtr. 5 cl. Prereq: H540 or permission of instructor. Offered in odd-numbered years only. |
| 547 Introductory Analysis I U G 3 |
| | 547-548-549 is an integrated sequence in advanced calculus covering sequences, limits, continuous functions, differentiation, Riemann integral; infinite series, sequences and series of functions, Taylor series, improper integrals. |
| | Au, Wi Qtrs. 3 cl. Prereq: 345 or equiv with written permission of dept. |
| 548 Introductory Analysis II U G 3 |
| | Continuation of 547. |
| | Wi, Sp Qtrs. 3 cl. Prereq: 547 or equiv with written permission of dept. |
| 549 Introductory Analysis III U G 3 |
| | Continuation of 548; the Riemann-Stieltjes integral; an introduction to the calculus of several variables. |
| | Au, Sp Qtrs. 3 cl. Prereq: 548 or equiv with written permission of dept. |
| 551 Vector Analysis U G 5 |
| | Vector operations in three dimensions, vector operators, surface area, the theorems of Green and Stokes, the divergence theorem; applications. |
| | Sp Qtr. 5 cl. Prereq: 254. Not open to students with credit for 513. |
| 552^ Introduction to the Theory of Functions of a Complex Variable U G 5 |
| | Topics discussed include power series expansions, the formula of Cauchy, residues, conformal mappings, and elementary functions in the complex domain. |
| | Su Qtr. 5 cl. Prereq: 254. Not open to students with credit for 514. |
| 566 Discrete Mathematical Structures II U G 3 |
| | Algorithms, efficiency of algorithms, pigeonhole principle, combinatorial identities, inclusion-exclusion, general functions, graphs, Euler tours, Hamiltonian cycles, isomorphism, planarity, colorings, algorithms on weighted graphs, and networks. |
| | Su (2nd term), Wi, Sp Qtrs. 3 cl. Prereq: 366 or permission of dept. |
| 568 Introductory Linear Algebra U G 3 |
| | The n-dimensional Eucldean space and its subspaces; matrices as mappings; matrix algebra; systems of equations; determinants; dot product ; geometric interpretations. |
| | Su (1st term), Au, Wi, Sp Qtrs. 3 cl. Prereq: 254 or equiv with written permission of dept. Not open to students with credit for 571. |
| 571 Linear Algebra for Applications I U G 3 |
| | Linear systems of equations; vector spaces, matrices, linear operators; inner products, projections and least squares, approximations or eigenvalue problems; applications. |
| | Su (1st term), Au, Wi, Sp Qtrs. 3 cl. Prereq: 254. Not open to students with credit for 601. |
| 572 Linear Algebra for Applications II U G 3 |
| | The eigenvalue problem or inner product spaces, projections and least squares approximation; classification of operators and quadratic forms; applications. |
| | Su (2nd term), Wi Qtrs. 3 cl. Prereq: 571 or written permission of dept. Not open to students with credit for 601. |
| 573 Elementary Number Theory U G 5 |
| | Utilization of concrete examples to introduce concepts of modern algebra; prime numbers, congruences, Diophantine equations, elementary combinatorial analysis. |
| | Sp Qtr. 5 cl. Prereq: H264 or 345 or grad standing or permission of dept. Offered in odd-numbered years only. |
| 575 Combinatorial Mathematics and Graph Theory U G 5 |
| | Some classical puzzles of recreational mathematics; matching theory, graph theory, network flows, and optimization; enumeration techniques; combinatorial designs and coding theory. |
| | Wi, Sp Qtrs. 5 cl. Prereq: 568 or written permission of dept. Offered SP even years only. |
| H576^ Number Theory through History I U G 5 |
| | The integrated honors sequence H576-H577 includes elementary analytic and algebraic number theory and traces its unifying role in development of mathematics through history. |
| | Wi Qtr. 3 80-min cl. Prereq: H191 and H520, or permission of dept. Offered in even-numbered years only. |
| H577^ Number Theory through History II U G 5 |
| | Continuation of H576. |
| | Sp Qtr. 3 80-min cl. Prereq: H576 or permission of dept. Offered in even-numbered years only. |
| 578 Discrete Mathematical Models U G 5 |
| | Analysis and solution of various applied problems using discrete mathematical models; methods used include graph theory, linear optimization, Markov chains and queues. |
| | Sp Qtr. 5 cl. Prereq: 530, Stat 427, 520, or equiv; 568 or 571 or H520; CS&E 201, 202 or 221 or En Graph 167. |
| 580 Algebra I U G 3 |
| | The integrated algebra sequence 580-581-582 includes elementary number theory, group theory, vector spaces, and linear transformations, field theory. |
| | Au, Wi Qtrs. 3 cl. Prereq : 345 and prereq or concur: 568 or equiv with written permission of dept. Not open to students with credit for H590. |
| 581 Algebra II U G 3 |
| | Continuation of 580. |
| | Wi, Sp Qtrs. 3 cl. Prereq: 580. |
| 582 Algebra III U G 3 |
| | Continuation of 581. |
| | Au, Sp Qtrs. 3 cl. Prereq: 581. |
| 588 Practicum in Actuarial Science U 4 |
| | Presentations by practicing actuaries on topics drawn from their fields of expertise; oral presentations by students on selected topics in actuarial science. |
| | Sp Qtr. 2 1hr 48 min cl. Prereq: 3rd yr standing and completion of second writing course. Open only to actuarial science majors. |
| H590 Algebraic Structures I U G 5 |
| | Integers, congruence relations, structure preserving maps, topics from groups, rings, modules, vector spaces, fields. |
| | Au Qtr. 5 cl. Prereq: H522 with a grade of C or better or written permission of Honors Committee chairperson. The sequence H590-H591-H592 substitutes for the sequence 580-581-582. |
| H591 Algebraic Structures II U G 5 |
| | A continuation of H590. |
| | Wi Qtr. 5 cl. Prereq: H590 with a grade of C or better or written permission of Honors Committee chairperson. |
| H592 Algebraic Structures III U G 5 |
| | Continuation of H591; further topics in group and field theory and their interrelation; Galois theory. |
| | Sp Qtr. 5 cl. Prereq: H591 with a grade of C or better or written permission of Honors Committee chairperson. |
| 593 Individual Studies U G 2-5 |
| | Su, Au, Wi, Sp Qtrs. Prereq: Permission of dept. Repeatable to a maximum of 20 cr hrs. This course is graded S/U. |
| 594 Group Studies U 2-5 |
| | Designed to give groups of advanced undergraduate students an opportunity to pursue special studies not otherwise offered. |
| | Su, Au, Wi, Sp Qtrs. H594 (honors) may be available to students enrolled in an honors program or by permission of department or instructor. Prereq: Permission of instructor. Repeatable to a maximum of 10 cr hrs. |
| 601 Mathematical Principles in Science I U G 3 |
| | Linear algebra in finite dimensions, abstract vector spaces, linear transformations, fundamental subspaces; complex inner product spaces. |
| | Au Qtr. 3 cl. Prereq: 568 or 571 or equiv. |
| 602 Mathematical Principles in Science II U G 3 |
| | Eigenvalue and eigenvector analysis in finite dimensions, quadratic forms, singular value decomposition, linear analysis in infinite dimensions, Sturm-Liouville theory, Hilbert spaces. |
| | Wi Qtr. 3 cl. Prereq: 601. |
| 603 Mathematical Principles in Science III |
| | An introduction to partial differential equations (pdes) that arise in the mathematical and engineering sciences. |
| | Sp Qtr. 3 cl. Prereq: 415 or equiv, and 602. |
| | 603.01^ Mathematical Principles in Science III, A U G 3 |
| | | General properties and methods of solution of hyperbolic, parabolic, and elliptic pdes that arise in science and engineering. |
| | 603.02 Mathematical Principles in Science III, B U G 3 |
| | | Mathematical principles and methods in the physical and engineering sciences including Fourier theory, Green's function theory, study of pdes illustrated mainly by the Helmholtz equation. |
| 606 Introduction to Numerical Analysis of Partial Differential Equations U G 3 |
| | Classification of partial differential equations; finite difference methods for elliptic, parabolic and hyperbolic PDE's; stability, convergence, error estimates; introduction to finite elements. |
| | Sp Qtr. 3 cl. Prereq: 512 and 572 or equiv with permission of instructor. |
| 607 Essentials of Numerical Analysis U G 5 |
| | Standard problems of numerical analysis, error analysis, and actual computational algorithms. |
| | Wi Qtr. 3 2-hr cl. Prereq: 548 or 652 or permission of the Graduate Studies Committee. |
| 609 Applications of Mathematical Software U G 3 |
| | Familiarize mathematics majors with some mathematical software encountered in a university setting: Matlab, Maple or Mathematica and Latex. |
| | Su Qtr. 3 cl. Prereq: 255 or 415 or H521, and 568 or 571 or H520, and grad standing or permission of instructor. Open only to math majors. |
| 610 Topics in Mathematics for Teachers |
| | Special topics in mathematics for teachers at the secondary level. |
| | Prereq: 1 yr teaching experience or permission of instructor. Designed for in-service teachers. |
| | 610.01^ Geometry U G 1-5 |
| | | Repeatable to a maximum of 10 cr hrs. |
| | 610.02^ Algebra U G 1-5 |
| | | Repeatable to a maximum of 10 cr hrs. |
| | 610.03^ Approximation Methods U G 1-5 |
| | | Repeatable to a maximum of 10 cr hrs. |
| | 610.04^ Probability U G 1-5 |
| | | Repeatable to a maximum of 10 cr hrs. |
| | 610.25^ Special Projects U G 1 |
| | | Prereq: Enrollment in mathematics MA specialization or written permission of dept. This course is graded S/U. |
| 618 Theory of Interest U G 3 |
| | Mathematical techniques of use in analyzing financial transactions involving interest: measurement of interest, force of interest, annuities-certain, applications to actuarial science. |
| | Au Qtr. 2 1.5-hr cl. Prereq: 254 or permission of instructor. |
| 630 Actuarial Mathematics I U G 3 |
| | Problem workshop for applications of economics, finance, and theory of interest to actuarial science. |
| | Au Qtr. 2 1.5-hr cl. Prereq: 530 or Stat 520; prereq or concur: Math 618. |
| 631 Actuarial Mathematics II U G 3 |
| | Actuarial models and their application to insurance and other financial risks. |
| | Wi Qtr. 2 1.5-hr cl. Prereq: 630. |
| 632 Actuarial Mathematics III U G 3 |
| | Continuation of 631; actuarial models and their application to insurance and other financial risks. |
| | Sp Qtr. 2 1.5-hr cl. Prereq: 631. |
| 640 Introductory Topology U G 3 |
| | The topology of the line, plane, Euclidean n-space, and metric spaces; emphasis on elementary ideas in topology. |
| | Su Qtr. 3 cl. Prereq: 549 or equiv or math grad status. Not open to students with credit for 655. |
| 647 Set Theory U G 3 |
| | Axiomatic set theory, transfinite induction and theory of ordinals, order type of characterizations, cardinal arithmetic and structure, and principles of choice. |
| | Au Qtr. 3 cl. Prereq: 547 or 580 or equiv with permission of dept. |
| 648 Mathematical Logic I U G 3 |
| | The syntax and semantics of sentential logic and first order logic; completeness and compactness theorems for first order logic. |
| | Wi Qtr. 3 cl. |
| 649 Mathematical Logic II U G 3 |
| | Continuation of 648; decidability and undecidability of systems and structures for number theory; Godel's incompleteness theorems and recursive functions; second order logic. |
| | Sp Qtr. 3 cl. Prereq: 648 or permission of instructor. |
| 650^ Principles of Mathematical Analysis U G 5 |
| | Riemann-Stieltjes integral; uniform convergence and interchange of limit processes, special functions, Fourier series. |
| | Su Qtr. 5 cl. Prereq: 547 or permission of Graduate Advising Committee. |
| 651 Introduction to Real Analysis I U G 5 |
| | Real numbers, infinite sequences, and series. |
| | Au Qtr. 5 cl. Prereq: permission of dept. |
| 652 Introduction to Real Analysis II U G 5 |
| | Continuous functions, differentiable functions and functions of bounded variation; Riemann-Stieltjes integral. |
| | Wi Qtr. 5 cl. Prereq: 651. |
| 653 Introduction to Real Analysis III U G 5 |
| | Measurable sets and functions, elementary theory of the Lebesgue integral. |
| | Sp Qtr. 5 cl. Prereq: 652. |
| 654^ Complex Variables U G 3 |
| | Complex arithmetic, geometry, conformal mapping, analytic functions, and residues. |
| | Su Qtr. 3 cl. Prereq: Permission of dept. Not open to students with credit for 514 or 552. Recommended primarily for grad students in science and engineering. |
| 655 Elementary Topology I U G 5 |
| | Continuity, compactness, product spaces, quotient spaces, connectedness in metric and general topological spaces, surface manifolds, cell complexes. |
| | Au Qtr. 5 cl. Prereq: Permission of dept. |
| 656 Elementary Topology II U G 5 |
| | Continuation of 655; the fundamental group and covering spaces. |
| | Wi Qtr. 5 cl. Prereq: 655. |
| 657 Elementary Topology III U G 5 |
| | Continuation of 656; homology. |
| | Sp Qtr. 5 cl. Prereq: 656. |
| 660 Introductory Complex Analysis U G 5 |
| | A beginning graduate course in complex analysis for doctoral students in the Department of Mathematics. |
| | Su Qtr. 5 cl. Prereq: 548 or equiv or math grad status. Not open to students with credit for 654. Designed primarily for math graduate students, emphasizing rigorous proofs. |
| 665 Modern Mathematical Methods in Relativity Theory I U G 4 |
| | Geometry in Minkowski space-time; physical interpretations; tensors; exterior calculus; manifolds; Lie derivatives; parallel transport; torsion; curvature; Cartan's two structural equations; Einstein Field equations. |
| | Wi Qtr. 4 cl. Prereq: 254 and Physics 133 or equiv with permission of dept. |
| 666 Modern Mathematical Methods in Relativity Theory II U G 4 |
| | Fluid dynamics, Hamilton-Jacobi theory in curved geometries; geometry and dynamics of homogeneous cosmologies; black holes; local-global properties; entropy; gravitational collapse; space-time symmetries. |
| | Sp Qtr. 4 cl. Prereq: 665 or equiv. |
| 667^ Introduction to the Mathematics of Cryptography U G 3 |
| | Introduction to cryptography including public key and RSA, discrete logarithms, Diffie-Hellman, ElGamal, elliptic curve methods, and signature schemes. |
| | 8 weeks, 3-60 minute classes. Prereq: 582 or H592 or permission of instructor. |
| 669 Introduction to Number Theory U G 5 |
| | Basic concepts of divisibility, congruence, reciprocity, and primitive roots as introduction to algebra with emphasis on techniques of proof. |
| | Su Qtr. 5 cl. Prereq: 254 or equiv. |
| 670 Algebra I U G 5 |
| | Elementary theory of groups, permutation groups, Polya theory of counting, rings and ideals, polynomials. |
| | Au Qtr. 5 cl. Prereq: Permission of dept. |
| 671 Algebra II U G 5 |
| | Continuation of 670; vector spaces, linear transformations, canonical forms for matrices, linear programming, orthogonality. |
| | Wi Qtr. 5 cl. Prereq: 670 or permission of dept. |
| 672 Algebra III U G 5 |
| | Continuation of 671; quadratic forms, finite fields, various applications. |
| | Sp Qtr. 5 cl. Prereq: 671 or permission of dept. |
| 674^ Survey of Combinatorial Mathematics U G 4 |
| | Enumeration, equivalence relations, generating functions, graph theory, optimization, and combinatorial designs. |
| | Su Qtr. 4 cl. Prereq: 568 or 571 or grad standing. |
| 683^ Topics in Number Theory and Algebra U G 4 |
| | Joint creative problem activity through daily problem solving sets in number theory. |
| | Su Qtr. 4 cl. Prereq: Permission of instructor. |
| 693 Individual Studies U G 1-5 |
| | Individual conferences, assigned readings, and reports on minor investigations. |
| | Su, Au, Wi, Sp Qtrs. Repeatable to a maximum of 20 cr hrs. This course is graded S/U. |
| 694 Group Studies U G 2-5 |
| | Designed to give groups of students an opportunity to pursue special studies not otherwise offered. |
| | Su, Au, Wi, Sp Qtrs. Prereq: Permission of dept. Repeatable to a maximum of 20 cr hrs. |
| 701^ Mathematical Methods in Science G 5 |
| | Introduction to tensor analysis with applications to geometry; elements of the calculus of variations with applications to physical problems. |
| | Sp Qtr. 3 1.5-hr cl. Prereq: 601 or equiv or permission of dept. |
| 705^ Special Functions U G 3 |
| | Power series developments, asymptotic expansion, gamma functions, cylindrical functions, spherical harmonics, orthogonal polynomials, hypergeometric functions, theta functions, elliptic functions and integrals, numerical techniques. |
| | Wi Qtr. 3 cl. Prereq: 601 and 602. |
| 707 Numerical Methods in Scientific Computing I G 3 |
| | Numerical solution of dynamical systems and evolution equations, linear and nonlinear systems, boundary value problems, bifurcation diagrams, form fit of data, interpolation, and approximation theory. |
| | Au Qtr. 3 cl. Prereq: 255 or 415, 572 or equiv and working knowledge of Fortran, or written permission of instructor. |
| 708 Numerical Methods in Scientific Computing II G 3 |
| | Continuation of 707; numerical quadrature, integral equations, iterative procedures, multi-grid techniques, computation of eigenvalues and eigenvectors, Hopf bifurcation, and optimization. |
| | Wi Qtr. 3 cl. Prereq: 707. |
| 709 Numerical Methods in Scientific Computing III G 3 |
| | Numerical solution of ordinary differential equations, consistency, stability and convergence, reaction-diffusion equations, phase diagrams, domains of attraction, strange attractors, and chaos. |
| | Sp Qtr. 3 cl. Prereq: 708. |
| 712^* Applied Functional Analysis I G 3 |
| | Advanced linear algebra; introduction to normed and Hilbert spaces; projections and bounded operators; emphasis on matrix and function space applications. |
| | Au Qtr. 3 cl. Prereq: 653 and 671, or 601 and 602, or permission of instructor. Not open to students with credit for 857 |
| 713^* Applied Functional Analysis II G 3 |
| | Dual spaces, bilinear functionals, compact operators; Sobolev norms, applications to finite elements and integral equations. |
| | Wi Qtr. 3 cl. Prereq: 712 or permission of instructor. Not open to students with credit for 857 |
| 714^* Applied Functional Analysis III G 3 |
| | Spectral theory of linear operators, distribution theory, and applications. |
| | Sp Qtr. 3 cl. Prereq: 713 or permission of instructor. Not open to students with credit for 857 |
| 715 Differential Equations I U G 3 |
| | Linear and non-linear systems of ordinary differential equations; phase plane analysis; stability, bifurcation, and chaos. |
| | Au Qtr. 3 cl. Prereq: 255, 572, and 652; or permission of instructor. |
| 716 Differential Equations II U G 3 |
| | Partial differential equations of mathematical physics, classification, characteristics; Sturm-Liouville theory, separation of variables. |
| | Wi Qtr. Prereq: 514, 653, and 715; or permission of instructor. |
| 717 Differential Equations III U G 3 |
| | Eigenfunction expansions, special functions, Green's functions, Fourier and Laplace transforms. |
| | Sp Qtr. 3 cl. Prereq: 514 and 716, or permission of instructor. |
| 722^* Theory of Probability I G 4 |
| | Measure and integration; random variables; independence; convergence in probability, almost everywhere, and in the mean; conditional probability and expectation. |
| | Au Qtr. 4 cl. Prereq: 653. Not open to students with credit for Stat 722. Cross-listed in Statistics. |
| 723^* Theory of Probability II G 4 |
| | Weak convergence; characteristic functions; central limit theorems; random walks; introduction to martingales. |
| | Wi Qtr. 4 cl. Prereq: 722. Not open to students with credit for Stat 723. Cross-listed in Statistics. |
| 724^* Theory of Probability III U G 4 |
| | Continuation of 723. |
| | Sp Qtr. 4 cl. Prereq: 723. |
| 727 Scientific Computing Laboratory I G 1 |
| | Designed to teach the computational tools required to write and use numerical codes to study physical systems. |
| | Au Qtr. 1 2-hr cl. Prereq: A good working knowledge of FORTRAN (or another high-level language); concur: 707. |
| 728 Scientific Computing Laboratory II G 1 |
| | Designed to teach the computational tools required to write and use numerical codes to study physical systems. |
| | Wi Qtr. 1 2-hr cl. Prereq: 727; concur: 708. |
| 729 Scientific Computing Laboratory III G 1 |
| | Designed to teach the computational tools required to write and use numerical codes to study physical systems. |
| | Sp Qtr. 1 2-hr cl. Prereq: 728; concur: 709. |
| 735 Seminar in Teaching College Mathematics for International Graduate Students G 3 |
| | Preparation of international graduate students for the teaching of college level mathematics courses. |
| | Su Qtr. 3 2-hr cl. Prereq: Permission of Graduate Advising Committee. This course is graded S/U. |
| 736 Seminar in Teaching College Mathematics for Domestic Graduate Students G 3 |
| | Preparation for teaching lower-division mathematics courses. |
| | Su Qtr. 3 2-hr cl. Prereq: Permission of Graduate Advising Committee. This course is graded S/U. |
| 745 Advanced Mathematical Logic I U G 3 |
| | Basic proof theory and model theory; completeness, interpolation and definability theorems, elimination of quantifiers, compactness, Lowenheim-Skolem Theorems, elementary extensions, and categoricity. |
| | Au Qtr. 3 cl. Prereq: 649 or permission of instructor. |
| 746 Advanced Mathematical Logic II U G 3 |
| | Incompleteness and undecidability; basic recursion theory; Turing machines, Church's thesis, recursive and recursively enumerable sets, Turing degrees, and the arithmetical hierarchy. |
| | Wi Qtr. 3 cl. Prereq: 745 or permission of instructor. |
| 747 Advanced Mathematical Logic III U G 3 |
| | Basic axiomatic set theory; Zermelo-Frankel set theory, the cumulative hierarchy, ordinals and cardinals, constructibility, and forcing. |
| | Sp Qtr. 3 cl. Prereq: 746 or permission of instructor. |
| 750 Real Analysis I U G 5 |
| | Relative extremes in partial orders; additive and countable additive set functions; extensions of set functions; integration, differentiation, applications. |
| | Au Qtr. 5 cl. Prereq: 653. |
| 751 Real Analysis II U G 5 |
| | Continuation of 750. |
| | Wi Qtr. 5 cl. Prereq: 750. |
| 752 Real Analysis III U G 5 |
| | Continuation of 751. |
| | Sp Qtr. 5 cl. Prereq: 751. |
| 753 Complex Analysis I U G 5 |
| | Families of holomorphic and meromorphic functions, geometrical methods of the theory of functions, conformal transformations; including the Cauchy integral theorem, Runge's theorem, Riemann mapping theorem. |
| | Au Qtr. 5 cl. Prereq: Math 653, and Math 660 or equivalent. |
| 754 Complex Analysis II U G 5 |
| | Analytic continuation, general analytic functions, algebraic, entire, elliptic, the gamma and zeta function, Dirichlet's series, Picard's theorems, Mittag-Leffler's theorem, Stirling's formula. |
| | Wi Qtr. 5 cl. Prereq: 753. |
| 767^ Introduction to the Theory of Approximation I U G 4 |
| | Approximation by polynomials and trigonometric polynomials, Chebeshev's theory of best approximation and its generalizations; interpolation processes and mechanical quadrature; orthogonal polynomials and elements of harmonic analysis. |
| | Au Qtr. 4 cl. Prereq: 653 or equiv with permission of dept. |
| 768^ Introduction to the Theory of Approximation II U G 4 |
| | A continuation of 767. |
| | Wi Qtr. 4 cl. Prereq: 767 or equiv with permission of dept. |
| 770 Abstract Algebra I U G 5 |
| | Permutation groups, solvable groups, composition series, polynomial rings, unique factorization domains, canonical forms, bilinear forms, free modules, tensor products, Galois theory, algebraic closure, transcendental extensions. |
| | Au Qtr. 5 cl. Prereq: 672 or equiv with permission of instructor. |
| 771 Abstract Algebra II U G 5 |
| | A continuation of 770. |
| | Wi Qtr. 5 cl. Prereq: 770 or equiv with permission of dept. |
| 772 Abstract Algebra III U G 5 |
| | A continuation of 771. |
| | Sp Qtr. 5 cl. Prereq: 771 or equiv with permission of dept. |
| 775 Combinatorics and Graph Theory I U G 5 |
| | Transversal theory, network flows, matroids, linear programming, Ramsey theory. |
| | Au Qtr. Prereq: 672. |
| 776 Combinatorics and Graph Theory II U G 5 |
| | Combinatorial designs and geometries, difference sets, orthogonal Latin squares, coding theory, enumeration theory including Mobius inversion, Polya theory, and generating functions. |
| | Wi Qtr. Prereq: 775. |
| 777 Combinatorics and Graph Theory III U G 5 |
| | Planar graphs and embeddings in surfaces, graph connectivity, algebraic graph theory. |
| | Sp Qtr. Prereq: 776. |
| 780^* Number Theory I U G 3 |
| | Algebraic number theory. |
| | Au Qtr. 3 cl. Prereq: 772. |
| 781^* Number Theory II U G 3 |
| | Diophantine equations. |
| | Wi Qtr. 3 cl. Prereq: 780. |
| 782^* Number Theory III U G 3 |
| | Analytic number theory. |
| | Sp Qtr. 3 cl. Prereq: 781. |
| H783 Honors Research U 3-5 |
| | A program of reading and research for each student with individual conferences, reports, and honors thesis. |
| | Su, Au, Wi, Sp Qtrs. arr cl. Prereq: 4th yr standing with a cumulative pt-hr ratio of 3.50 in math; permission of instructor under whose supervision the work is to be completed and of the ASC Honors Committee. Repeatable to a maximum of 10 cr hrs. This course is graded S/U. |
| 787 Graduate Problem Seminars |
| | Topics helpful in problem solving in fundamental areas of mathematics; practice with problems in a specific area of mathematics. |
| | Su Qtr. 3 cl. Prereq: Permission of Graduate Advising Committee. |
| | 787.01 Problems in Abstract Algebra U G 3 |
| | | Repeatable to a maximum of 9 cr hrs. |
| | 787.03 Problems in Real Analysis U G 3 |
| | | Repeatable to a maximum of 9 cr hrs. |
| 804^* Applied Complex Variables and Asymptotics I G 3 |
| | Methods of complex variables. |
| | Au Qtr. 3 cl. Prereq: 653, 654, and 717; or permission of instructor. |
| 805^* Applied Complex Variables and Asymptotics II G 3 |
| | Asymptotic methods and their application to ordinary differential equations. |
| | Wi Qtr. 3 cl. Prereq: 804. |
| 806^* Applied Complex Variables and Asymptotics III G 3 |
| | Asymptotic and complex variable methods applied to linear and nonlinear partial differential equations. |
| | Sp Qtr. 3 cl. Prereq: 805. |
| 807* Numerical Solution of Partial Differential Equations I G 3 |
| | Finite difference methods for parabolic and hyperbolic partial differential equations. |
| | Au Qtr. 3 cl. Prereq: 602 or 717, 709, and Fortran experience; or permission of instructor. |
| 808* Numerical Solution of Partial Differential Equations II G 3 |
| | Continuation of 807. |
| | Wi Qtr. 3 cl. Prereq: 807. |
| 809* Numerical Solution of Partial Differential Equations III G 3 |
| | Special topics in the numerical solution of partial differential equations. |
| | Sp Qtr. 3 cl. Prereq: 808. |
| 820* Ordinary Differential Equations I G 3 |
| | Modern theory of ordinary differential equations; stability, asymptotic analysis, Lyapunov exponents, stable manifolds, perturbation methods, and bifurcation theory. |
| | Au Qtr. 3 cl. Prereq: 715 or permission of instructor. |
| 821* Ordinary Differential Equations II G 3 |
| | Continuation of 820; differential equations on manifolds, structural stability, integrable and nonintegrable systems; chaos and strange attractors; applications. |
| | Wi Qtr. 3 cl. Prereq: 820. |
| 822* Ordinary Differential Equations III G 3 |
| | Continuation of 821. |
| | Sp Qtr. 3 cl. Prereq: 821 or permission of instructor. |
| 835^* Partial Differential Equations I G 3 |
| | First order PDE's, theory of characteristics, second order PDE's, classifications, standard methods of solution; nonlinear equations. |
| | Wi Qtr. 3 cl. Prereq: 717 or permission of instructor. |
| 836^* Partial Differential Equations II G 3 |
| | Continuation of 835. |
| | Sp Qtr. 3 cl. Prereq: 835 or permission of instructor. |
| 840^* Algebraic Geometry I G 3 |
| | Varieties over algebraically closed fields. |
| | Au Qtr. 2 72-min cl. Prereq: 772. |
| 841^* Algebraic Geometry II G 3 |
| | Schemes, sheaves, and cohomology. |
| | Wi Qtr. 2 72-min cl. Prereq: 840. |
| 842^* Algebraic Geometry III G 3 |
| | Curves and surfaces. |
| | Sp Qtr. 2 72-min cl. Prereq: 841. |
| 846^ Topics in Discrete Mathematics G 2-5 |
| | Su, Au, Wi, Sp Qtrs. 2-5 cl. Prereq: Permission of dept. Repeatable to a maximum of 20 cr hrs. |
| 851^ Differential Geometry I G 3 |
| | Curves, surfaces, fundamental forms, tensors, and connections. |
| | Au Qtr. 3 cl. Prereq: 655, 751, and 771. |
| 852^ Differential Geometry II G 3 |
| | Continuation of 851. |
| | Wi Qtr. 3 cl. Prereq: 851. |
| 854* Lie Groups I G 3 |
| | Integration on manifolds, Lie groups, classical groups, homogeneous spaces. |
| | Wi Qtr. 3 cl. Prereq: 651, 751, and 771. |
| 855* Lie Groups II G 3 |
| | Continuation of 854. |
| | Sp Qtr. 3 cl. Prereq: 854. |
| 857^ Introduction to Functional Analysis G 3 |
| | Linear topological spaces, normed spaces, Hilbert spaces, convex sets, integration of vector-valued functions. |
| | Au Qtr. 3 cl. Prereq: 552 and 751. |
| 860* Algebraic Topology I G 3 |
| | Singular homology theory. |
| | Au Qtr. 3 cl. Prereq: 657. |
| 861* Algebraic Topology II G 3 |
| | Continuation of 860; general cohomology theories. |
| | Wi Qtr. 3 cl. Prereq: 860. |
| 862* Algebraic Topology III G 3 |
| | Continuation of 860 and 861; fibrations and homotopy theory. |
| | Sp Qtr. 3 cl. Prereq: 861. |
| 863^ Potential Theory G 3 |
| | Newtonian potentials, boundary value problems; logarithmic potential, elliptic partial differential equations. |
| | Sp Qtr. 3 cl. Prereq: 552 and permission of dept. |
| 865 Topics in Applied Mathematics G 2-5 |
| | Au, Wi, Sp Qtrs. 2-5 cl. Prereq: Written permission of dept. Repeatable to a maximum of 20 cr hrs. |
| 866^* Differential Topology I G 3 |
| | Differential manifolds and differential maps, tangent bundles, vector bundles and transversality. |
| | Au Qtr. 3 cl. Prereq: 657 or permission of instructor. |
| 867^* Differential Topology II G 3 |
| | Singular homology and cohomology, Poincare duality, intersection numbers, cobordism theory. |
| | Wi Qtr. 3 cl. Prereq: 866 or permission of instructor. |
| 868^* Differential Topology III G 3 |
| | Characteristic classes and the theory of fibre bundles. |
| | Sp Qtr. 3 cl. Prereq: 867 or permission of instructor. |
| 870^ Topics in Graph Theory G 2-5 |
| | Topics of current research interest. |
| | Au, Wi, Sp Qtrs. Prereq: 777 and permission of dept. Repeatable to a maximum of 15 cr hrs. |
| 872* Group Theory I G 4 |
| | Properties of groups, extensions, transfer, generators and defining relations, representation theory, permutation groups. |
| | Au Qtr. 4 cl. Prereq: 672 or 772. |
| 873* Group Theory II G 4 |
| | Continuation of 872. |
| | Wi Qtr. 4 cl. Prereq: 872. |
| 874* Group Theory III G 4 |
| | Continuation of 873. |
| | Sp Qtr. 4 cl. Prereq: 873. |
| 875 Combinatorics Seminar G 2-5 |
| | Recent research articles in combinatorics are read and presented by the students. |
| | Au, Wi, Sp Qtrs. Prereq: Permission of dept. Repeatable to a maximum of 15 cr hrs. |
| 893 Individual Studies G 1-5 |
| | Individual assigned readings and reports on research investigations. |
| | Su, Au, Wi, Sp Qtrs. Repeatable to a maximum of 15 cr hrs. This course is graded S/U. |
| 894 Group Studies G 1-5 |
| | When need is sufficient, the department will offer under this number a course on some phase of mathematics not covered in its regular offerings. |
| | Su, Au, Wi, Sp Qtrs. Prereq: Permission of dept. Repeatable to a maximum of 30 cr hrs. |
| 931 Ergodic Theory I G 3 |
| | Measurable transformations, mixing and ergodicity, existence of invariant measures, contraction operations on function spaces, ergodic theorems. |
| | Au Qtr. 3 cl. Prereq: 751. |
| 932 Ergodic Theory II G 3 |
| | Continuation of 931. |
| | Wi Qtr. 3 cl. Prereq: 931. |
| 939 Topics in Probability Theory G 2-5 |
| | Various advanced topics in probability theory. |
| | Au, Wi Qtrs. Prereq: Permission of dept. Repeatable to a maximum of 20 cr hrs. |
| 949^ Topics in Logic G 2-5 |
| | Su, Au, Wi, Sp Qtrs. Prereq: Permission of dept. Repeatable to a maximum of 20 cr hrs. |
| 950^ Topics in Real Analysis G 2-5 |
| | Su, Au, Wi, Sp Qtrs. Prereq: Permission of dept. Repeatable to a maximum of 20 cr hrs. |
| 951^ Topics in Complex Analysis G 2-5 |
| | Su, Au, Wi, Sp Qtrs. 2-5 cl. Prereq: 754. Repeatable to a maximum of 20 cr hrs. |
| 953 Topics in Topology G 2-5 |
| | Su, Au, Wi, Sp Qtrs. Prereq: Permission of dept. Repeatable to a maximum of 45 cr hrs. |
| 957^ Topics in Differential Geometry G 2-5 |
| | Wi, Sp Qtrs. Prereq: Permission of dept. Repeatable to a maximum of 20 cr hrs. |
| 961^ Topics in Functional Analysis G 2-5 |
| | Topics to be chosen from current research papers. |
| | Su, Au, Wi, Sp Qtrs. 2-5 cl. Prereq: Permission of dept. Repeatable to a maximum of 20 cr hrs. |
| 970 Topics in Representation Theory G 2-5 |
| | Topics in the representation theory of various algebraic structures. |
| | Au, Wi, Sp Qtrs. 2-5 cl. Prereq: Permission of dept. Repeatable to a maximum of 20 cr hrs. |
| 974^ Topics in Homological Algebra G 2-5 |
| | Topics selected from current research articles. |
| | Au, Wi, Sp Qtrs. 2-5 cl. Prereq: permission of dept. Repeatable to a maximum of 20 cr hrs. |
| 975 Topics in Geometry G 2-5 |
| | Topics to be chosen from current research papers. |
| | Wi Qtr. 2-5 cl. Prereq: Permission of dept. Repeatable to a maximum of 20 cr hrs. |
| 978^ Topics in Ring Theory G 2-5 |
| | Topics selected from current research papers. |
| | Su, Au, Wi, Sp Qtrs. 2-5 cl. Prereq: 772. Repeatable to a maximum of 20 cr hrs. |
| 981^ Topics in the Theory of Groups G 2-5 |
| | Su, Au, Wi, Sp Qtrs. Prereq: Permission of dept. Repeatable to a maximum of 20 cr hrs. |
| 982^ Topics in Algebra G 2-5 |
| | Topics selected from current research papers. |
| | Su, Au, Wi, Sp Qtrs. 2-5 cl. Prereq: Permission of dept. Repeatable to a maximum of 20 cr hrs. |
| 983 Topics in Number Theory G 2-5 |
| | Au, Wi, Sp Qtrs. Prereq: Permission of dept. Repeatable to a maximum of 20 cr hrs. |
| 984 Seminar on Actuarial Science G 2-5 |
| | Current topics in actuarial science. |
| | Arr. Prereq: Permission of instructor. Repeatable to a maximum of 20 cr hrs. This course is graded S/U. |
| 985 Seminar in Group Theory G 2-5 |
| | Prereq: Permission of dept. Repeatable to a maximum of 20 cr hrs. This course is graded S/U. |
| 986 Seminar on Algebra G 2-5 |
| | Prereq: Permission of dept. Repeatable to a maximum of 20 cr hrs. This course is graded S/U. |
| 988 Seminar on Number Theory G 2-5 |
| | Prereq: Permission of dept. Repeatable to a maximum of 20 cr hrs. This course is graded S/U. |
| 990 Seminar on Geometry G 2-5 |
| | Prereq: Permission of dept. Repeatable to a maximum of 20 cr hrs. This course is graded S/U. |
| 991 Seminar in Probability Theory G 2-5 |
| | Topics selected from current research papers. |
| | Prereq: Permission of instructor. Repeatable to a maximum of 20 cr hrs. This course is graded S/U. |
| 992 Seminar in Applied Mathematics G 2-5 |
| | Prereq: Permission of dept. Repeatable to a maximum of 20 cr hrs. This course is graded S/U. |
| 995 Seminar in Ergodic Theory G 2-5 |
| | Topics selected from current research papers. |
| | Prereq: Permission of dept. Repeatable to a maximum of 20 cr hrs. This course is graded S/U. |
| 996 Seminar in Analysis G 2-5 |
| | Prereq: Permission of dept. Repeatable to a maximum of 20 cr hrs. This course is graded S/U. |
| 997 Seminar in Topology G 2-5 |
| | Prereq: Permission of dept. Repeatable to a maximum of 20 cr hrs. This course is graded S/U. |
| 999 Research G 1-18 |
| | Research for thesis or dissertation purposes only. |
| | Su, Au, Wi, Sp Qtrs. Repeatable. This course is graded S/U. |