Gloria C. Hewitt, Chair

Mathematics is studied both as a tool and for its own sake. Its usefulness in the sciences--physical, biological, social, behavioral, and environmental--and in decision-making processes is so established as to make it an indispensable part of many curricula. Mathematics is chosen as a major area of study by individuals who find it challenging, fascinating, and beautiful. It is also appreciated by many who seek primarily to use mathematics as a tool.

A career in mathematics, except for teaching at the secondary level, generally requires a graduate degree as preparation. Careers include teaching, research, and the application of mathematics to diverse problems in institutions of higher learning, business, industry, and government.

The Bachelor of Arts, Master of Arts, Master of Arts for Teachers of Mathematics, and Doctor of Philosophy degrees are offered.

High School Preparation: For study of mathematics at the University, it is recommended that high school preparation include the equivalent of two years of algebra, plane geometry, trigonometry, and analytic geometry.

Special Degree Requirements

Refer to graduation requirements listed previously in the catalog. See index.

Mathematics Requirements for B.A. Degree with a Major in Mathematical Sciences

To obtain a B.A. degree with a major in Mathematical Sciences, the required courses are Math 152, 153, 221, 251 (except for students in the Mathematics Education emphasis), 305 and six additional 3- or 4-credit mathematics courses numbered 300 or above (at least three of the six must be numbered 400 or above). All mathematics courses counted toward the major must be passed with a grade of C or better. In addition, if a special emphasis is desired, the minimum requirements listed below for that emphasis must be met. Additional courses should be chosen in consultation with a mathematics advisor.

Requirements for the Special Emphases

Pure Mathematics Emphasis

Math 351, 421 and two courses from Math 422, 435, 451, 452.

Mathematics Education Emphasis

Math 324, 326, 341, 401, 406, 431; one mathematics course chosen from 251, 311, 325, 381, 382 or any additional 3-4 credit 400-level mathematics course; and the completion of certification requirements for teaching in secondary schools to include C&I 430.

Statistics Emphasis

Math 341, 441, 442 and one additional 400-level statistics course. (Additional mathematics and statistics courses chosen with advisor.)

Operations Research Emphasis

Math 381, 382, 481, and 482. (Math 341, 347 and 414 are recommended.)

Applied Analysis Emphasis

Math 311, 312, 414 and one of 452 or 471. (Math 351, 445, and 482 are recommended.)

Major Requirements in Courses Outside Mathematics

1. One course in a computer programming language is required (except for students in the Mathematics Education emphasis).

2. Except for the Mathematics Education emphasis, students must complete the foreign language requirement as specified in 3.a. under the General Education requirements.

3. All mathematics majors, except those selecting the mathematics education emphasis, must complete 18 credits in at most three sciences selected from astronomy, biology, chemistry, computer science, economics, forestry, geology, management, microbiology, and physics. Students selecting the mathematics education emphasis must complete 12 credits in at most two sciences selected from astronomy, biology, chemistry, computer science, geology, microbiology and physics. An alternative to the science requirement is for the student to present a minor or second major in one of the schools or departments within the University, or for the student with a mathematics education emphasis to complete an additional teaching minor or major.

Suggested Course of Study

Requirements for a Minor

To earn a minor in mathematics the student must earn 23 credits in mathematics including at least three 3- or 4-credit courses at the 300-level or above. All courses counted toward the minor must be passed with a grade of C or better.

Mathematics Education Minor: For a teaching minor endorsement in the field of mathematics, a student must complete Math 152-153, 221, 305, 326, 341, 401 and 431. Students also must complete C&I 430, gain admission to Teacher Education and Student Teaching and meet the requirements for certification as a secondary teacher (see the School of Education section of this catalog). All courses counted toward the minor must be passed with a letter grade of C or better.

Courses

U = for undergraduate credit only, UG = for undergraduate or graduate credit, G = for graduate credit. R after the credit indicates the course may be repeated for credit to the maximum indicated after the R.

Unless the student has prior written approval by the Mathematical Sciences Department, credit is not allowed for Math 100 if credit has been or is being earned in any mathematics course numbered above 100. Unless the student has prior written approval of the Mathematical Sciences Department, credit is not allowed for any mathematics course numbered under 150 if credit has been or is currently being earned in Math 150 or 152. This restriction is subject to the exception that credit is allowed for Math 117 if a student does not have credit for a 200-level mathematics course.

See the College of Technology section for Introductory Algebra, MAT 005.

U 100 Intermediate Algebra 5 cr. Offered autumn and spring. Prereq., Math 005 or appropriate score on placement exam. Topics include linear equations and systems of linear equations, inequalities, applications and graphing; polynomials; rational expressions and equations; radicals, rational exponents and complex numbers; quadratic equations; exponential and logarithmic functions.

U 107 Contemporary Mathematics 3 cr. Offered autumn and spring. Prereq., Math 100. An introduction to mathematical ideas and their impact on society. Intended for students wishing to satisfy the general education mathematics requirement.

U 117 Probability and Linear Mathematics 3 cr. Offered autumn and spring. Prereq., Math 100 or appropriate score on placement exam. Systems of linear equations and matrix algebra. Introduction to probability with emphasis on models and probabilistic reasoning. Examples of applications of the material in many fields.

U 121 Precalculus 4 cr. Offered autumn and spring. Prereq., Math 100 or appropriate score on placement exam or three years of college preparatory mathematics. Properties of algebraic functions of one variable and their graphs, conic sections, trigonometric functions and inverses, trigonometric identities, exponential and logarithmic functions, and polar coordinates. Credit not allowed for both Math 121 and MAT 120-121.

U 130 Mathematics for Elementary Teachers 5 cr. Offered autumn and spring. Prereq., Math 100 or appropriate score on placement exam. Open only to elementary education majors. Topics include problem-solving, sets and logic, functions, the mathematical meaning and background of arithmetic through real numbers, number theory, probability and statistics.

U 131 Mathematics for Elementary Teachers 4 cr. Offered autumn and spring. Prereq., 130. Topics include introductory geometry, geometric constructions, congruence, similarity, measurement, coordinate geometry and an introduction to the computer language Logo.

U 150 Applied Calculus 4 cr. Offered autumn and spring. Prereq., Math 121 or appropriate score on placement exam. Introductory course surveying the principal applicable ideas of calculus. Emphasis on applications and computer software. Intended primarily for students who do not plan to take higher calculus.

U 152 Calculus I 4 cr. Offered autumn and spring. Prereq., Math 121 or equiv. or appropriate score on placement exam. Limits of functions and sequences. Continuous functions and the Intermediate Value Theorem. Tangents and derivatives. Linear Approximation. Inverse functions and implicit differentiation. Mean Value Theorem. Extreme values. Curve sketching. Antiderivatives. Definite integral for continuous functions. Fundamental Theorem of Calculus.

U 153 Calculus II 4 cr. Offered autumn and spring. Prereq., Math 152. Techniques of Integration. Area computations. Improper integrals. Infinite series and various convergence tests. Power series. Taylor's Formula. Polar coordinates. Parametric curves. Vectors in the plane and space.

U 158 Applied Differential Equations 3 cr. Offered spring. Prereq., Math 150 or 152. Solution of ordinary differential equations and systems with emphasis on applications, numerical methods and computer software.

U 221 Linear Algebra 4 cr. Offered autumn and spring. Prereq., Math 153. Vectors in the plane and space, systems of linear equations and Gauss-Jordan elimination, matrices, determinants, eigenvalues and eigenvectors, vector spaces, linear transformations. Calculators and/or computers used where appropriate.

U 225 Discrete Mathematics 3 cr. Offered autumn. Prereq., Math 152. Mathematical concepts used in computer science with an emphasis on mathematical reasoning and proof techniques. Elementary logic, sets, functions and relations, combinatorics, mathematical induction, recursion and algorithms. Mathematics majors should take 305 instead of 225.

U 241 Statistics 4 cr. Offered autumn and spring. Prereq., Math 117 or consent of instr. Introduction to major ideas of statistical inference. Emphasis is on statistical reasoning and uses of statistics.

U 251 Calculus III 4 cr. Offered autumn and spring. Prereq., Math 153. Calculus of functions of several variables; differentiation and elementary integration.

U 294 Seminar Variable cr. (R-9) Offered autumn and spring. Prereq., consent of instr. Guidance in special work for advanced students.

U 295 Special Topics Variable cr. (R-9) Offered autumn and spring. Prereq., consent of instr. Experimental offerings of visiting professors, experimental offerings of new courses, or one-time offerings of current topics.

U 296 Independent Study Variable cr. (R-9) Offered autumn and spring. Prereq., consent of instr. Guidance of an individual student in doing independent study on material not offered in a regular course.

U 305 Introduction to Abstract Mathematics 3 cr. Offered autumn and spring. Prereq., Math 153. Designed to prepare students for upper-division proof-based mathematics courses. Topics include proof techniques, logic, sets, relations, functions and axiomatic methods.

UG 311 Ordinary Differential Equations and Systems 3 cr. Offered autumn. Prereq., Math 251. Ordinary differential equations. Systems of linear differential equations from a matrix viewpoint. Series solutions. Existence and uniqueness for initial value problems. Numerical methods. Stability and selected topics.

UG 312 Partial Differential Equations 3 cr. Offered spring. Prereq., Math 311. Fourier series, Sturm-Liouville and boundary value problems. Partial differential equations: Cauchy problems and the method of characteristics, separation of variables and Laplace transform methods. Numerical methods and selected topics.

UG 324 Introduction to Abstract Structures 3 cr. Offered autumn. Prereq., Math 305. Cannot be taken after Math 421. Topics from algebraic systems such as groups, rings and fields. Emphasis on abstract reasoning and proving conjectures. Particular attention to systems such as polynomial rings, rings of functions, ordered rings, symmetric groups and groups acting on sets.

UG 325 Discrete Mathematics 3 cr. Offered spring. Prereq., Math 152 and 225 or 305. Continuation of 225 and topics from graph theory, Boolean algebras, automata theory, coding theory, computability and formal languages.

UG 326 Elementary Number Theory 3 cr. Offered spring. Prereq., Math 225or 305. Congruences, Diophantine equations, properties of primes, quadratic residues, continued fractions, algebraic numbers.

UG 341 Introduction to Probability and Statistics 3 cr. Offered autumn and spring. Prereq., Math 153. Probability, probability models and simulation, random variables, density functions, special distributions, and a brief survey of estimation and hypothesis testing. Computer use integrated throughout.

UG 344 Statistical Methods 3 cr. Offered autumn. Prereq., one year of college mathematics including Math 117 or equiv. course in probability or consent of instr. Intended primarily for non-mathematics majors who will be analyzing data. Graphical and numerical summaries of data, exploring relationships between variables, designing experiments, probability s a model for random phenomena and as a tool for making statistical inferences, random variables, basic ideas of estimation and hypothesis testing.

UG 345 Statistical Methods 3 cr. Offered spring. Prereq., Math 344. Continuation of Math 344. Elementary sampling, simple and multiple regression, analysis of variance.

UG 347 Computer Data Analysis 1-2 cr. Offered autumn. Coreq., Math 344 or consent of instr. Computing techniques in probability and statistics. An introduction to a variety of software for doing statistical analyses. Intended primarily for students in Math 344. Graduate students see Math 547.

UG 348 Computer Data Analysis 1-2 cr. Offered spring. Prereq., Math 347; coreq., Math 345 or consent of instr. Continuation of Math 347. Graduate students see Math 548.

UG 351 Advanced Calculus 4 cr. Offered spring. Prereq., Math 251, 305. Rigorous development of the theory of functions of several variables. Differ-entiability, Taylor's theorem, inverse and implicit function theorems, multiple integration, differential forms and Stokes' theorem.

UG 381 Operations Research Methods: Discrete Optimization 3 cr. Offered autumn. Prereq., Math 153 (221 recommended). Intended for non-mathematics majors as well as majors. Introduction to discrete optimization techniques with applications to operations research. Topics from graph theory including graph algorithms, network models, matching theory and applications.

UG 382 Operations Research Methods: Linear Optimization 3 cr. Offered spring. Prereq., Math 153 (221 recommended). Intended for non-mathematics majors as well as majors. Introduction to continuous optimization techniques with applications to operations research. Topics from linear programming, duality theory, sensitivity analysis, and applications.

U 394 Seminar Variable cr. (R-9) Offered autumn and spring. Prereq., consent of instr. Guidance in special work for advanced students.

U 395 Special Topics Variable cr. (R-9) Offered autumn and spring. Prereq., consent of instr. Experimental offerings of visiting professors, experimental offerings of new courses, or one-time offerings of current topics.

U 396 Independent Study Variable cr. (R-9) Offered autumn and spring. Prereq., consent of instr. Guidance of an individual student in doing independent study on material not offered in a regular course.

U 398 Cooperative Education Experience Variable cr. (R-9) Offered autumn and spring. Prereq., consent of instructor. Extended classroom experience which provides practical application of classroom learning during placements off campus. Prior approval must be obtained from the faculty supervisor and the Cooperative Education Office.

UG 401 Mathematics with Technology for Teachers 3 cr. Offered autumn. Prereq., Math 305. Discrete and continuous mathematical models from a variety of disciplines using appropriate technology.

UG 406 History of Mathematics 3 cr. Offered spring. Prereq., Math 305. Historical study of the development of mathematics from the Egyptian and Babylonian eras to the 20th century.

UG 414 Deterministic Models 3 cr. Offered autumn. Prereq., Math 158 or 311 or consent of instr. Linear and nonlinear difference and differential equations: stability, phase-plane analysis, oscillatory behavior, limit cycles, and chaos. Eigenvalues and eigenfunctions. Emphasis on models in biology.

UG 421 Abstract Algebra 4 cr. Offered autumn. Prereq., Math 251 and one of 305, 324 or 325. An introduction to modern ideas of algebra. Groups, rings, fields, vector spaces, matrix theory and linear groups.

UG 422 Abstract Algebra 4 cr. Offered spring. Prereq., Math 421. Continuation of 421.

UG 431 Euclidean and Non-Euclidean Geometry 3 cr. Offered autumn. Prereq., Math 305. Euclidean geometry from a rigorous, axiomatic viewpoint and Non-Euclidean geometries including Lobachevskian, projective, finite and Riemannian.

UG 435 Introduction to General Topology 3 cr. Offered intermittently in spring. Prereq., Math 251, 305. Topological spaces, continuity, connectedness, compactness, convergence, separation axioms, metric spaces.

UG 441 Mathematical Statistics 3 cr. Offered autumn. Prereq., Math 251 and 341 or consent of instr. An introduction to probability, random variables and their probability distributions, estimation and hypothesis testing. This course is the foundation on which more advanced statistics courses build.

UG 442 Mathematical Statistics 3 cr. Offered spring. Prereq., Math 441. Continuation of 441.

UG 443 Applied Nonparametric Statistics 3 cr. Offered autumn odd-numbered years. Prereq., Math 341 or 345 or consent of instr. Nonparametric methods using ranks and elementary counting methods to develop statistical estimation and testing techniques. Applications to a variety of situations including one- and two-sample, correlation, regression, analysis of variance and goodness-of-fit problems. For majors and non-majors.

UG 444 Applied Linear Models 3 cr. Offered spring odd-numbered years. Prereq., Math 341 or 345 or consent of instr. Simple linear and multiple regression and analysis of variance, including estimation, inference and residual analysis. Use of the computer and real data sets integrated throughout. For majors and non-majors.

UG 445 Applied Time Series 3 cr. Offered spring odd-numbered years. Prereq., Math 345 or coreq., 442 or consent of instr. Introduction to time series and applications. Approach is that of Box-Jenkins ARIMA models. Use of the computer and real data sets integrated throughout. For majors and non-majors.

UG 451 Introduction to Real Analysis 4 cr. Offered autumn odd-numbered years. Prereq., Math 251, 305. Theory of metric spaces and point set topology, Riemann-Stieltjes integral, sequences and series of functions. Stone-Weierstrass theorem, theorem of Arzela-Ascoli, introduction to Lebesgue integration.

UG 452 Complex Variables 4 cr. Offered spring odd-numbered years. Prereq., Math 251, 305. Analytic functions, complex integration, singularities and application to contour integration, harmonic functions, spaces of analytic functions.

UG 471 Numerical Analysis 4 cr. Offered intermittently. Prereq., Math 305, 311, one computer language. Error analysis; approximation and interpolation, numerical solution of linear and non-linear equations, numerical integration of ordinary and partial differential equations.

UG 481 Mathematical Operations Research: Mathematical Programming 3 cr. Offered autumn. Prereq., Math 221, 251 and 305; Math 381 and 382 recommended. The mathematical development of topics in operations research, including linear and nonlinear programming, duality theory and sensitivity analysis.

UG 482 Mathematical Operations Research: Stochastic Optimization 3 cr. Offered spring. Prereq., Math 251, 305 and 341; Math 381 and 382 recommended. The mathematical development of topics in operations research including stochastic decision theory, inventory theory, queuing theory, simulation, stochastic programming.

U 494 Seminar Variable cr. (R-9) Offered autumn and spring. Prereq., consent of instr. Guidance in special work for advanced students.

UG 495 Special Topics Variable cr. (R-9) Offered autumn and spring. Prereq., consent of instr. Experimental offerings of visiting professors, experimental offerings of new courses, or one-time offerings of current topics.

U 496 Independent Study Variable cr. (R-9) Offered autumn and spring. Prereq., consent of instr. Guidance of an individual student in doing independent study on material not offered in a regular course

U 498 Cooperative Education Experience Variable cr. (R-9) Offered autumn and spring. Prereq., consent of instr. Extended classroom experience which provides practical application of classroom learning during placements off campus. Prior approval must be obtained from the faculty supervisor and the Cooperative Education Office.

U 499 Senior Thesis Variable cr. (R-12) Offered autumn and spring. Prereq., consent of instr. Senior thesis for mathematics majors and/or Watkins Scholars.

G 500 Current Mathematical Curricula 3 cr. Offered intermittently in autumn. Prereq., undergraduate major or minor in mathematics. Analysis of contemporary materials for secondary school mathematics: the goals, the mathematical content, alternative methodologies, and curriculum evaluation.

G 501 Technology in Mathematics for Teachers 3 cr Offered intermittently in spring. Prereq., undergraduate mathematics major or minor. Technology usage--when it is appropriate and when it is not. Experience is provided with scientific calculators, graphing utilities, computers, and identification of exemplary software.

G 510 Problem Solving for Teachers 3 cr. Offered intermittently in summer. Prereq., undergraduate major or minor in mathematics. Strategies for problem solving, problem posing in a variety of situations, modeling and applications. Problems are selected from various areas of mathematics.

G 511 Advanced Mathematical Methods 3 cr. Offered autumn odd-numbered years. Prereq., Math 311-312 or 414.. Methods in applied mathematics related to the qualitative and quantitative solution of nonlinear and differential integral equations, dynamical systems, and perturbation methods. Applications of these methods to other sciences.

G 512 Advanced Mathematical Methods 3 cr. Offered spring even-numbered years. Prereq., Math 511. Continuation of 511.

G 514 Topics in Applied Mathematics Variable cr. (R-12) Offered autumn even-numbered years. Prereq., consent of instr. or Math 511-512. Topics of current interest in applied mathematics, mathematical modeling, dynamic modeling, and optimal management in stochastic or deterministic environments.

G 520 Algebra for Teachers 3 cr. Offered intermittently in summer. Prereq., Math 324 or equiv. Topics include algebraic number fields, linear algebra topics, and applications appropriate for secondary teachers.

G 521 Advanced Algebra 3 cr. Offered autumn. Prereq., Math 422 or consent of instr. General topics from groups, rings, modules, commutative algebra, fields and categories.

G 522 Advanced Algebra 3 cr. Offered spring. Prereq., Math 521 or consent of instr. Continuation of 521.

G 524 Special Topics in Algebra Variable cr. (R-6) Offered intermittently. Prereq., Math 422 or consent of instr. Topics of modern research interest in algebra.

G 525 Special Topics in Algebra Variable cr. (R-6) Offered intermittently. Prereq., Math 524. Continuation of 524.

G 526 Discrete Mathematics for Teachers 3 cr. Offered intermittently in summer. Prereq., Math 305 or consent of instr. Elements and operations of finite structures, combinatorics, recursion, graph theory, matrix representations, and finite state transition models.

G 530 Geometries for Teachers 3 cr. Offered intermittently in summer. Prereq., Math 431 or equiv. Comparison of synthetic, analytic, vector, and transformational approaches to geometry. Includes classification of geometries, geometric representations, axiomatics, and the applications of modern geometries.

G 531 Topology 3 cr. Offered autumn even-numbered years. Prereq., Math 451 or consent of instr. Set theory, topological spaces, metrizability, continuous mappings and selected topics.

G 532 Topology 3 cr. Offered spring odd-numbered years. Prereq., Math 531 or consent of instr. Continuation of 531.

G 540 Probability and Statistics for Teachers 3 cr. Offered intermittently in summer. Prereq., Math 341 or equiv. A survey of modern topics in probability and statistics. Emphasis will be on applications of statistics in real situations.

G 541 Advanced Mathematical Statistics 3 cr. Offered autumn even-numbered years. Prereq., Math 442. Generating functions, limit theorems, sufficient statistics, maximum likelihood, estimation, uniformly most powerful tests, decision theory, sequential procedures, stochastic models, and other current topics in statistics.

G 542 Advanced Mathematical Statistics 3 cr. Offered spring odd-numbered years. Prereq., Math 541. Continuation of 541.

G 543 Applied Multivariate Statistical Analysis 4 cr. Offered spring even-numbered years. Prereq., Math 345 or coreq., Math 442, or consent of instr. Introduction to multivariate statistical analyses and applications. Appropriate linear algebra, random vectors, multivariate normal, multivariate ANOVA, principal components, factor analysis, discrimination and classification, clustering, canonical correlations. For majors and non-majors.

G 544 Topics in Probability and/or Statistics 3 cr. Offered autumn. Prereq., Math 442 and consent of instructor. Topics chosen from those listed under 541.

G 545 Statistical Inference 3 cr. Offered autumn odd-numbered years. Prereq., Math 442. One of the topics chosen from multivariate analysis, linear models, design of experiments, sampling theory, nonparametric theory.

G 546 Statistical Inference 3 cr. Offered intermittently. Prereq., Math 442; Math 545 may be a prerequisite depending on topics chosen in a given year. Topics chosen from those listed under Math 545 or other current topics in statistics.

G 547 Advanced Computer Data Analysis 1 cr. Offered autumn. Prereq. or coreq., Math 344 or equiv. Computing techniques in probability and statistics intended primarily for students in Math 344. Graduate students register for Math 547 and one credit of Math 347. Main frames, Macintosh, and or PC usage.

G 548 Advanced Computer Data Analysis 1 cr. Offered spring. Prereq., Math 547 or equiv. Coreq., Math 345 or equiv. Continuation of Math 547. An introduction to selected large statistical packages. Graduate students register for Math 548 and one credit of Math 348.

G 550 Analysis for Teachers 3 cr. Offered intermittently in summer. Prereq., Math 251 or equiv. Notions of limits, continuity, differentiation, and integration in Rⁿ.

G 551 Real Analysis 3 cr. Offered autumn odd-numbered years. Prereq., Math 451 or 452 or consent of instr. Measure theory, abstract integration theory, theory of Lp-spaces.

G 555 Functional Analysis 3 cr. Offered autumn even-numbered years. Prereq., Math 451 or 452 or consent of instr. Normed linear spaces, linear functionals, separation theorems, topological linear spaces, weak topologies, dualities.

G 564 Topics in Analysis 3 cr. (R-12) Offered spring. Prereq., consent of instr. Research projects or topics in analysis. May include but not restricted to Banach algebras, Fourier analysis, Harmonic analysis, Hilbert space theory, integral equations, or operator theory.

G 581 Operations Research 3 cr. Offered autumn odd-numbered years. Prereq., Math 421, 451, or consent of instr. Introduction to the mathematical techniques in operations research. Topics from discrete optimization theory, graphs and network theory, linear and non-linear programming, stochastic optimization theory, queuing theory, inventory theory, decision theory, and simulation.

G 582 Operations Research 3 cr. Offered spring even-numbered years. Prereq., Math 581. Continuation of Math 581.

G 584 Topics in Optimization 3 cr. (R-12) Offered autumn even-numbered years. Offered spring odd-numbered years. Prereq., Math 582 or consent of instr. Topics may include but are not limited to, Karmarkar's algorithm and other interior point methods, nonlinear optimization, multiple objective optimization, dynamic programming, combinatorial optimization.

G 593 Professional Project Variable cr. (R-6) Offered autumn and spring. Prereq., consent of advisor.

G 595 Special Topics Variable cr. (R-12) Offered autumn and spring. Prereq., consent of instr. Experimental offerings of visiting professors, experimental offerings of new courses, or one-time offerings of current topics.

G 596 Independent Study Variable cr. (R-12) Offered autumn and spring. Prereq., consent of instr.

G 597 Research Variable cr. (R-12) Offered autumn and spring. Prereq., consent of instr.

G 598 Cooperative Education Experience Variable cr. (R-12) Offered autumn and spring. Prereq., consent of department. Extended classroom experience which provides practical application of classroom learning during placements off campus. Prior approval must be obtained from the faculty supervisor and the Cooperative Education Office.

G 599 Thesis Variable cr. (R-6) Offered autumn and spring. Prereq., consent of instr.

G 600 Mathematics Colloquium 1 cr. (R-3) Offered autumn and spring. Prereq., consent of advisor.

G 602 Teaching College Mathematics 3 cr. Prereq., second year standing in graduate school. Topics include publishing, grant writing, writing in mathematics classes, media use in mathematics, evaluation and assessment of curricular materials and programs, instructional methods in university mathematics courses, and other selected topics.

G 605 Learning Theories in Mathematics 3 cr. Prereq., graduate status. How children learn mathematical content and processes. Models of mental development, concept formation, problem solving, reasoning, and creative thinking.

G 606 Current Topics in the History of Mathematics 3 cr. Examination of mathematical history topics from the latter part of the 20th century. Discussions may focus on the impact of Hilbert's Problems. Research on current mathematics.

G 610 Graduate Seminar in Applied Mathematics Variable cr. (R-12) Offered autumn and spring. Prereq., consent of instr.

G 620 Graduate Seminar in Algebra Variable cr. (R-12) Offered autumn and spring. Prereq., consent of instr.

G 630 Graduate Seminar in Geometry/Topology Variable cr. (R-12) Offered autumn and spring. Prereq., consent of instr.

G 640 Graduate Seminar in Probability and Statistics Variable cr. (R-12) Offered autumn and spring. Prereq., consent of instr.

G 650 Graduate Seminar in Analysis Variable cr. (R-12) Offered autumn and spring. Prereq., consent of instr.

G 670 Graduate Seminar in Numerical Analysis Variable cr. (R-12) Offered autumn and spring. Prereq., consent of instr.

G 680 Graduate Seminar in Operations Research Variable cr. (R-12) Offered autumn and spring. Prereq., consent of instr.

G 694 Seminar Variable cr. (R-12) Offered autumn and spring. Prereq., consent of instr.

G 699 Dissertation Variable cr. (R-9) Offered autumn and spring.

Faculty

Professors

William R. Ballard, Ph.D., University of Chicago, 1957 (Emeritus)

Richard W. Billstein, Ed.D., The University of Montana, 1972

Charles A. Bryan, Ph.D., University of Arizona, 1963 (Emeritus)

William R. Derrick, Ph.D., Indiana University, 1966 (on leave 1997-98)

Rudy A. Gideon, Ph.D., University of Wisconsin, 1970

Stanley I. Grossman, Ph.D., Brown University, 1969 (Emeritus)

Gloria C. Hewitt, Ph.D., University of Washington, 1962 (Chair)

James J. Hirstein, Ed.D., University of Georgia, 1976

Don O. Loftsgaarden, Ph.D., Montana State University, 1964

Johnny W. Lott, Ph.D., Georgia State University, 1973

Merle E. Manis, Ph.D., University of Oregon, 1964 (Emeritus)

Robert W. McKelvey, Ph.D., University of Wisconsin 1954 (Emeritus)

D. George McRae, Ph.D., University of Washington, 1967

William M. Myers, Jr., Ph.D., Ohio State University, 1952 (Emeritus)

Howard E. Reinhardt, Ph.D., University of Michigan, 1959 (Emeritus)

Karel M. Stroethoff, Ph.D., Michigan State University, 1987

Thomas Tonev, Ph.D., Moscow State University, 1973

George F. Votruba, Ph.D., University of Michigan, 1964

I. Keith Yale, Ph.D., University of California, Berkeley, 1966

Associate Professors

Mary Jean Brod, M.A., Stanford University, 1969

Lynn D. Churchill, Ph.D., University of Washington, 1985 (Research)

Leonid Kalachev, Ph.D., Moscow State University, 1987 (on leave 1997-98)

Jennifer McNulty, Ph.D., University of North Carolina at Chapel Hill, 1993

David A. Patterson, Ph.D., University of Iowa, 1984

Greg St. George, Ph.D., The University of Montana, 1989

Assistant Professors

Alexamder P. Below, Ph.D., Moscow State University, 1977 (Visiting)

Jonathan Graham, Ph.D., North Carolina State University, 1995

Patricia Hala, Ph.D., Oregon State University, 1996 (Visiting)

P. Mark Kayll, Ph.D., Rutgers University, 1994

Libby Krussel, Ph.D., Oregon State University, 1994

William Long, Ph.D., The University of Montana, 1997 (Visiting)

Steven Liedahl, Ph.D., University of California, Los Angeles, 1992 (Visiting)

Regina Souza, Ph.D., Massachusetts Institute of Technology, 1990 (Visiting)

Brian Steele, Ph.D., The University of Montana, 1995 (Visiting)

Elena Toneva, Ph.D., University of Sophia, 1979 (Visiting)

Carol Ulsafer, Ph.D., The University of Montana, 1984 (Visiting)

Nikolaus Vonessen, Ph.D., Massachusetts Institute of Technology, 1988

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