Find SomeoneCampus MapsOSU Site Map

General Catalog & Schedule of Classes

Oregon State University
OSU HomeProspective StudentsCurrent StudentsFaculty & StaffAlumni & FriendsVisitors
  Quick-Jump:    
What is Quick-Jump?
Catalog HomeCatlog IndexCatalog SearchCatalog ArchiveCatalog Help


MTH Courses, Corvallis Campus

Choose a different subject and/or campus

Legend Legend
Calendar icon, course will be offered.
- Signifies that the course is offered in current or future terms.
Graduation cap, course is a Baccalaureate Core Course.
- Signifies the course as a Baccalaureate Core Course.
Graduation cap with a pen, course is a WIC Core Course.
- Signifies the course as a WIC Core Course.
Dollar sign icon, course has fees that apply.
- Signifies that fees may apply to the course.
+
- Include restriction.
-
- Exclude restriction.
*
- Prereq may be taken prior to or simultaneously with this course.

Top MTH 065 ELEMENTARY ALGEBRA (3) 
Arithmetic of signed numbers, order of operations, simplifying algebraic expressions, solution of linear equations, and inequalities. Rules of exponents, addition, subtraction, and multiplication of polynomials, factoring, solution of quadratic equations by factoring, reducing rational expressions. Word problems involving linear equations, graphing of linear equations, inequalities. All courses used to satisfy MTH prerequisites must be completed with C- or better. PREREQS: Placement Test MPT(05) or Placement Test MPAL(015) and (MPT=Math Placement Test score of 05; MPAL=Math Placement Test-ALEKS score of 15%)

Top MTH 095 INTERMEDIATE ALGEBRA (3) 
Addition, subtraction, multiplication, and division of rational expressions, long division of polynomials, solution of fractional equations, applications involving linear equations. Fractional equations, inequalities, literal equations, and variations. Negative and fractional exponents, radicals, solution of quadratic equations, and complex numbers. Cartesian coordinates, graphs of linear equations and inequalities, distance formula, slope, equations of lines, solutions of systems of linear equations in two unknowns and inequalities. All courses used to satisfy MTH prerequisites must be completed with C- or better. PREREQS: MTH 065 or Placement Test MPT(11) or Placement Test MPAL(030) and (MPT=Math Placement Test score of 11; MPAL=Math Placement Test-ALEKS score of 30%)

Top MTH 102 ALGEBRAIC FOUNDATIONS (3)  Offered in current or future terms
This course is designed primarily for EOP students. They will use various computing technologies to explore realistic and interesting situations in which algebra is used. As they work through explorations, they will work with many of the fundamental ideas of algebra, ideas they will find important in their daily lives.

Top MTH 103 ALGEBRAIC REASONING (4)  Offered in current or future terms Has Extra Fees
Graphing data, functions, rate of change, linear equations, systems of linear equations, linear inequalities, linear functions, absolute value functions, quadratic functions, exponential functions. All courses used to satisfy MTH prerequisites must be completed with C- or better. PREREQS: MTH 065 or Placement Test MPT(11) or Placement Test MPAL(030) and (MPT=Math Placement Test score of 11; MPAL=Math Placement Test-ALEKS score of 30%)

Top MTH 105 INTRODUCTION TO CONTEMPORARY MATHEMATICS (3)  Offered in current or future terms Baccalaureate Core Course
Elementary linear programming, combinatorics, descriptive statistics, elementary probability, exponential growth and decay, examples of major mathematical ideas and models. Lec/rec. All courses used to satisfy MTH prerequisites must be completed with a C- or better. (Bacc Core Course) PREREQS: MTH 095 or MTH 103 or Placement Test MPT(17) or Placement Test MPAL(046) and (MPT=Math Placement Test score of 17; MPAL=Math Placement Test-ALEKS score of 46%)

Top MTH 111 COLLEGE ALGEBRA (4)  Offered in current or future terms Baccalaureate Core Course Has Extra Fees
Polynomial equations and inequalities, polynomial functions and graphs, inverse functions, exponential and logarithmic functions, elementary mathematical modeling and applications. Lec/rec. All courses used to satisfy MTH prerequisites must be completed with a C- or better. (Bacc Core Course) PREREQS: MTH 095 or MTH 103 or Placement Test MPT(17) or Placement Test MPAL(046) and (MPT=Math Placement Test score of 17; MPAL=Math Placement Test-ALEKS score of 46%)

Top MTH 112 ELEMENTARY FUNCTIONS (4)  Offered in current or future terms Baccalaureate Core Course Has Extra Fees
Triangle trigonometry, circular functions and graphs, trigonometric equations and identities, inverse trigonometric functions, polar coordinates, vectors and applications. Lec/rec. All courses used to satisfy MTH prerequisites must be completed with C- or better. (Bacc Core Course) PREREQS: MTH 111 or Placement Test MPT(24) or Placement Test MPAL(060) and (MPT=Math Placement Test score of 24; MPAL=Math Placement Test-ALEKS score of 60%)

Top MTH 199 SPECIAL TOPICS (1-16)  Offered in current or future terms
Maximum 3 credits per term, 9 credits total. Does not meet university group requirement in physical science. This course is repeatable for a maximum of 9 credits.

Top MTH 211 FOUNDATIONS OF ELEMENTARY MATHEMATICS (4)  Offered in current or future terms Baccalaureate Core Course Has Extra Fees
Introduction to problem solving, sets, whole numbers, number theory, fractions, decimals, percent, ratio and proportion, integers. Intended primarily for prospective elementary teachers. All courses used to satisfy MTH prerequisites must be completed with C- or better. (Bacc Core Course) PREREQS: MTH 095 or MTH 103 or MTH 111 or MTH 112 or Placement Test MPT(17) or Placement Test MPAL(046) and (MPT=Math Placement Test score of 17; MPAL=Math Placement Test-ALEKS score of 46%)

Top MTH 212 FOUNDATIONS OF ELEMENTARY MATHEMATICS (4)  Offered in current or future terms Has Extra Fees
Rational and real numbers, probability, statistics, and informal geometry. All courses used to satisfy MTH prerequisites must be completed with C- or better. PREREQS: MTH 211 and minimum grade of C-

Top MTH 231 ELEMENTS OF DISCRETE MATHEMATICS (4)  Offered in current or future terms
Elementary logic and set theory, functions, direct proof techniques, contradiction and contraposition, mathematical induction and recursion, elementary combinatorics, basic graph theory, minimal spanning trees. All courses used to satisfy MTH prerequisites must be completed with C- or better. PREREQS: MTH 112 or Placement Test MPT(33) or Placement Test MPAL(075) and (MPT=Math Placement Test score of 33; MPAL=Math Placement Test-ALEKS score of 75%)

Top MTH 232 ELEMENTS OF DISCRETE MATHEMATICS (4) 
Combinatorics, algorithms and complexity, graphs and trees. Lec/rec. All courses used to satisfy MTH prerequisites must be completed with C- or better. PREREQS: MTH 231

Top MTH 241 CALCULUS FOR MANAGEMENT AND SOCIAL SCIENCE (4)  Offered in current or future terms Baccalaureate Core Course Has Extra Fees
Elementary differential and integral calculus of polynomial, logarithmic, and exponential functions and their applications to business, management and social sciences. Lec/rec. All courses used to satisfy MTH prerequisites must be completed with C- or better. (Bacc Core Course) PREREQS: MTH 111 or Placement Test MPT(24) or Placement Test MPAL(060) and (MPT=Math Placement Test score of 24; MPAL=Math Placement Test-ALEKS score of 60%)

Top MTH 245 MATHEMATICS FOR MANAGEMENT, LIFE, AND SOCIAL SCIENCES (4)  Offered in current or future terms Baccalaureate Core Course
Techniques of counting, probability and elements of statistics including binomial and normal distributions. Introductory matrix algebra. Elements of linear programming. Lec/rec. All courses used to satisfy MTH prerequisites must be completed with C- or better. (Bacc Core Course) PREREQS: MTH 111 or Placement Test MPT(24) or Placement Test MPAL(060) and (MPT=Math Placement Test score of 24; MPAL=Math Placement Test-ALEKS score of 60%)

Top MTH 251 DIFFERENTIAL CALCULUS (4)  Offered in current or future terms Baccalaureate Core Course Has Extra Fees
Differential calculus for engineers and scientists. Rates of change: the derivative, velocity, and acceleration. The algebraic rules of differential calculus and derivatives of polynomial, rational, and trigonometric functions. Maximum-minimum problems, curve sketching, and other applications. Antiderivatives and simple motion problems. Lec/rec. (Bacc Core Course) PREREQS: MTH 112 or Placement Test MPT(33) or Placement Test MPAL(075) and (MPT=Math Placement Test score of 33; MPAL=Math Placement Test-ALEKS score of 75%)

Top MTH 251H DIFFERENTIAL CALCULUS (4)  Baccalaureate Core Course
Differential calculus for engineers and scientists. Rates of change: the derivative, velocity, and acceleration. The algebraic rules of differential calculus and derivatives of polynomial, rational, and trigonometric functions. Maximum-minimum problems, curve sketching, and other applications. Antiderivatives and simple motion problems. Lec/rec. All courses used to satisfy MTH prerequisites must be completed with C- or better. (Bacc Core Course) PREREQS: MTH 112 or Placement Test MPT(33) or Placement Test MPAL(075) and (MPT=Math Placement Test score of 33; MPAL=Math Placement Test-ALEKS score of 75%). Honors College approval required.

Top MTH 252 INTEGRAL CALCULUS (4)  Offered in current or future terms Has Extra Fees
Definite integrals, elementary applications to area, force, and work. Integral tables and basic techniques of integration, calculus of logarithmic and exponential functions, polar coordinates, applications to areas, volumes, force, work, and growth and decay problems. Lec/rec. All courses used to satisfy MTH prerequisites must be completed with C- or better. PREREQS: MTH 251 or MTH 251H

Top MTH 252H INTEGRAL CALCULUS (4)  Offered in current or future terms Has Extra Fees
Definite integrals, elementary applications to area, force, and work. Integral tables and basic techniques of integration, calculus of logarithmic and exponential functions, polar coordinates, applications to areas, volumes, force, work, and growth and decay problems. All courses used to satisfy MTH prerequisites must be completed with C- or better. PREREQS: MTH 251 or MTH 251H and Honors College approval required.

Top MTH 253 INFINITE SERIES AND SEQUENCES (4)  Offered in current or future terms
Indeterminate forms. Improper integrals. Sequences and series, especially Taylor's formula and power series. Applications to numerical estimation with error analysis. Series with complex terms and the Euler identities. Lec/rec. All courses used to satisfy MTH prerequisites must be completed with C- or better. PREREQS: MTH 252 or MTH 252H

Top MTH 254 VECTOR CALCULUS I (4)  Offered in current or future terms Has Extra Fees
Vectors, vector functions, and curves in two and three dimensions. Surfaces, partial derivatives, gradients, and directional derivatives. Multiple integrals in rectangular, polar, cylindrical, and spherical coordinates. Physical and geometric applications. Lec/rec. All courses used to satisfy MTH prerequisites must be completed with C- or better. PREREQS: MTH 252 or MTH 252H

Top MTH 254H VECTOR CALCULUS I (4)  Offered in current or future terms Has Extra Fees
Vectors, vector functions, and curves in two and three dimensions. Surfaces, partial derivatives, gradients, and directional derivatives. Multiple integrals in rectangular, polar, cylindrical, and spherical coordinates. Physical and geometric applications. Lec/rec. All courses used to satisfy MTH prerequisites must be completed with C- or better. PREREQS: MTH 252 or MTH 252H and Honors College approval required.

Top MTH 255 VECTOR CALCULUS II (4)  Offered in current or future terms Has Extra Fees
Brief review of vector functions, space curves, gradients, and directional derivatives. Introduction to vector analysis: vector fields, divergence, curl, line integrals, surface integrals, conservative fields, and the theorems of Gauss and Stokes with applications to force, work, mass, and charge. Lec/rec. All courses used to satisfy MTH prerequisites must be completed with C- or better. PREREQS: MTH 254 or MTH 254H

Top MTH 255H VECTOR CALCULUS II (4)  Offered in current or future terms Has Extra Fees
Brief review of vector functions, space curves, gradients, and directional derivatives. Introduction to vector analysis: vector fields, divergence, curl, line integrals, surface integrals, conservative fields, and the theorems of Gauss and Stokes with applications to force, work, mass, and charge. All courses used to satisfy MTH prerequisites must be completed with C- or better. PREREQS: MTH 254 or MTH 254H and Honors College approval required.

Top MTH 256 APPLIED DIFFERENTIAL EQUATIONS (4)  Offered in current or future terms
First order linear and nonlinear equations, and second order linear equations. Applications to electric circuits and mechanical oscillators. Introduction to the Laplace transform and higher order equations. Solution methods and applications appropriate for science and engineering. (Familiarity with complex numbers and Euler's identities is highly desirable.) Lec/rec. All courses used to satisfy MTH prerequisites must be completed with C- or better. PREREQS: MTH 254 or MTH 254H and /or instructor approval required.

Top MTH 256H APPLIED DIFFERENTIAL EQUATIONS (4)  Offered in current or future terms
First order linear and nonlinear equations, and second order linear equations. Applications to electric circuits and mechanical oscillators. Introduction to the Laplace transform and higher order equations. Solution methods and applications appropriate for science and engineering. (Familiarity with complex numbers and Euler's identities is highly desirable.) All courses used to satisfy MTH prerequisites must be completed with C- or better. PREREQS: MTH 254 or MTH 254H and /or instructor approval required. Honors College approval required.

Top MTH 268 MATHEMATICAL IDEAS IN BIOLOGY (4)  Offered in current or future terms
Mathematical models of biological systems, with emphasis on population dynamics and ecology. Integral calculus with applications to biology. All courses used to satisfy MTH prerequisites must be completed with C- or better. PREREQS: MTH 251 or MTH 251H

Top MTH 299 SPECIAL TOPICS (1-16)  Offered in current or future terms
Maximum 3 credits per term, 9 credits total. This course is repeatable for a maximum of 9 credits.

Top MTH 306 MATRIX AND POWER SERIES METHODS (4)  Offered in current or future terms
Introduction to matrix algebra, determinants, systematic solution to linear systems, and eigenvalue problems. Convergence and divergence of series with emphasis on power series, Taylor series expansions, convergence tests for power series, and error estimates for truncated series used in practical approximations. Lec/rec. All courses used to satisfy MTH prerequisites must be completed with C- or better. PREREQS: MTH 252 or MTH 252H

Top MTH 306H MATRIX AND POWER SERIES METHODS (4)  Offered in current or future terms
Introduction to matrix algebra, determinants, systematic solution to linear systems, and eigenvalue problems. Convergence and divergence of series with emphasis on power series, Taylor series expansions, convergence tests for power series, and error estimates for truncated series used in practical approximations. Lec/rec. All courses used to satisfy MTH prerequisites must be completed with C- or better. PREREQS: MTH 252 or MTH 252H and Honors College approval required.

Top MTH 311 ADVANCED CALCULUS (4)  Offered in current or future terms
Rigorous development of calculus, axiomatic properties of R, topology of the real line, convergence of sequences and series of real numbers, functions, limits of functions, basic properties of continuity and derivatives. Brief treatment of Riemann integration, improper integrals, sequences of functions, pointwise and uniform convergence, introductory aspects of multivariable calculus. All courses used to satisfy MTH prerequisites must be completed with C- or better. PREREQS: (MTH 255 or MTH 255H) and MTH 355

Top MTH 312 ADVANCED CALCULUS (4)  Offered in current or future terms
Rigorous development of calculus, axiomatic properties of R, topology of the real line, convergence of sequences and series of real numbers, functions, limits of functions, basic properties of continuity and derivatives. Brief treatment of Riemann integration, improper integrals, sequences of functions, pointwise and uniform convergence, introductory aspects of multivariable calculus. All courses used to satisfy MTH prerequisites must be completed with C- or better. PREREQS: MTH 311 and MTH 342*

Top MTH 323 MATHEMATICAL MODELING (3)  Offered in current or future terms WIC Core Course
A variety of mathematical modeling techniques will be introduced. Students will formulate models in response to practical problems drawn from the literature of ecology, environmental sciences, engineering or other fields. Informal writing assignments in class and formal written presentation of the models will be required. All courses used to satisfy MTH prerequisites must be completed with C- or better. (Writing Intensive Course) PREREQS: (MTH 256 or MTH 256H) and MTH 341 and /or instructor approval.

Top MTH 333 FUNDAMENTAL CONCEPTS OF TOPOLOGY (3)  WIC Core Course
Open and closed sets, continuity, compactness, connectedness, winding number, fixed point theorems in the plane. All courses used to satisfy MTH prerequisites must be completed with C- or better. (Writing Intensive Course) PREREQS: MTH 341 or MTH 355

Top MTH 338 NON-EUCLIDEAN GEOMETRY (3)  Offered in current or future terms WIC Core Course
Introduction to non-Euclidean geometries. Selected topics such as hyperbolic and elliptic geometry, spherical geometry, projective geometry, geometries arising from alternative metrics. All courses used to satisfy MTH prerequisites must be completed with C- or better. (Writing Intensive Course) PREREQS: MTH 252 or MTH 252H

Top MTH 341 LINEAR ALGEBRA I (3)  Offered in current or future terms
Matrix algebra, determinants, systems of linear equations, computational aspects of eigenvalues and eigenvectors. All courses used to satisfy MTH prerequisites must be completed with C- or better. PREREQS: MTH 254 or MTH 254H

Top MTH 342 LINEAR ALGEBRA II (4)  Offered in current or future terms
Vector spaces, linear transformations, inner product spaces, orthogonality, eigenvalues, diagonalization. All courses used to satisfy MTH prerequisites must be completed with C- or better. PREREQS: MTH 341

Top MTH 343 INTRODUCTION TO MODERN ALGEBRA (3)  Offered in current or future terms
Introduction to rings and fields with an emphasis on the integers and polynomial rings; selected applications. All courses used to satisfy MTH prerequisites must be completed with C- or better. PREREQS: MTH 341 and MTH 355

Top MTH 351 INTRODUCTION TO NUMERICAL ANALYSIS (3)  Offered in current or future terms
Introduction to the computation of approximate solutions to mathematical problems that cannot be solved by hand: analysis of errors; rootfinding for nonlinear equations in one variable; interpolation of functions; numerical integration. All courses used to satisfy MTH prerequisites must be completed with C- or better. PREREQS: MTH 253 or MTH 306 and programming experience.

Top MTH 355 DISCRETE MATHEMATICS (3)  Offered in current or future terms
For mathematics majors beginning upper-division mathematics course work. Topics include elementary combinatories and basic counting principles such as the sum, product, pigeonhole, and bijection principles; mathematical induction; equivalence relations; introductory aspects of graph theory; generating functions; and the inclusion-exclusion principle. All courses used to satisfy MTH prerequisites must be completed with C- or better. PREREQS: MTH 253 and MTH 341 recommended.

Top MTH 361 INTRODUCTION TO PROBABILITY (3)  Offered in current or future terms
Probability problem solving using concepts developed in calculus. Topics include probability models, discrete and continuous random variables, expectation and variance, the law of large numbers, and the central limit theorem. All courses used to satisfy MTH prerequisites must be completed with C- or better. PREREQS: MTH 253 or MTH 306 or MTH 306H

Top MTH 361H INTRODUCTION TO PROBABILITY (3) 
Probability problem solving using concepts developed in calculus. Topics include probability models, discrete and continuous random variables, expectation and variance, the law of large numbers, and the central limit theorem. All courses used to satisfy MTH prerequisites must be completed with C- or better. PREREQS: MTH 253 or MTH 306 or MTH 306H and Honors College approval required.

Top MTH 390 FOUNDATIONS OF ELEMENTARY MATHEMATICS (4)  Offered in current or future terms
Measurement, congruence, similarity, coordinate and transformational geometry. All courses used to satisfy MTH prerequisites must be completed with C- or better. PREREQS: MTH 212

Top MTH 399 SPECIAL TOPICS (1-16)  Offered in current or future terms
This course is repeatable for a maximum of 16 credits. PREREQS: Departmental approval required.

Top MTH 399H SPECIAL TOPICS (1-16) 
This course is repeatable for a maximum of 16 credits. PREREQS: Honors College approval required.

Top MTH 401 RESEARCH (1-16)  Offered in current or future terms
This course is repeatable for a maximum of 16 credits. PREREQS: Departmental approval required.

Top MTH 403 THESIS (1-16)  Offered in current or future terms
This course is repeatable for a maximum of 16 credits. PREREQS: Departmental approval required.

Top MTH 405 READING AND CONFERENCE (1-16)  Offered in current or future terms
This course is repeatable for a maximum of 16 credits. PREREQS: Departmental approval required.

Top MTH 406 PROJECTS (1-3)  Offered in current or future terms
Graded P/N. This course is repeatable for a maximum of 16 credits. PREREQS: Departmental approval required.

Top MTH 407 SEMINAR (3)  Offered in current or future terms
This course is repeatable for a maximum of 99 credits. PREREQS: Departmental approval required.

Top MTH 410 OCCUPATIONAL INTERNSHIP (3-12)  Offered in current or future terms
Planned and supervised training experience at selected government, industrial, or business placement sites. Must be followed by a one-hour post-internship seminar. Consult departmental head advisor. Graded P/N. This course is repeatable for a maximum of 16 credits. PREREQS: Junior standing in mathematics, cumulative 3.00 GPA in mathematics, head advisor/departmental approval required.

Top MTH 411 REAL ANALYSIS (3) 
Topological concepts in metric, normed, and inner-product spaces. Properties of continuous functions, including the Stone-Weierstrass theorem. Introduction to function spaces, contraction mappings, fixed points, and applications. Lebesgue measure and integration in one and several variables, basic convergence theorems, Lebesgue spaces, Fubini's theorem, and applications to Fourier transforms and probability. All courses used to satisfy MTH 411 prerequisites must be completed with B+ or better. PREREQS: MTH 312 and MTH 341

Top MTH 412 REAL ANALYSIS (3)  Offered in current or future terms
Topological concepts in metric, normed, and inner-product spaces. Properties of continuous functions, including the Stone-Weierstrass theorem. Introduction to function spaces, contraction mappings, fixed points, and applications. Lebesgue measure and integration in one and several variables, basic convergence theorems, Lebesgue spaces, Fubini's theorem, and applications to Fourier transforms and probability. All courses used to satisfy MTH prerequisites must be completed with C- or better. PREREQS: MTH 411 or MTH 511

Top MTH 413 REAL ANALYSIS (3)  Offered in current or future terms
Topological concepts in metric, normed, and inner-product spaces. Properties of continuous functions, including the Stone-Weierstrass theorem. Introduction to function spaces, contraction mappings, fixed points, and applications. Lebesgue measure and integration in one and several variables, basic convergence theorems, Lebesgue spaces, Fubini's theorem, and applications to Fourier transforms and probability. All courses used to satisfy MTH prerequisites must be completed with C- or better. PREREQS: MTH 412 or MTH 512

Top MTH 420 MODELS AND METHODS OF APPLIED MATHEMATICS (3)  Offered in current or future terms
Discrete and continuous mathematical models and methods for analysis, including linear analysis, equilibrium and minimum principles, calculus of variations, principal component analysis and orthogonal expansions, asymptotic and Fourier analysis, least squares, constrained and unconstrained optimization, inverse problems, and Monte Carlo techniques. Particular models and methods covered may vary annually. All courses used to satisfy MTH prerequisites must be completed with C- or better. PREREQS: (MTH 256 or MTH 256H) and MTH 341 and junior standing or above.

Top MTH 430 METRIC SPACES AND TOPOLOGY (3)  Offered in current or future terms
Fundamental notions of metric space topology. Examples of Euclidean, non-Euclidean and other fundamental metric spaces including the Hilbert Cube and two-dimensional surfaces. Characterization and classification results for metric spaces. Selected applications of topology, possibly including the structure of molecules and/or networks. All courses used to satisfy MTH prerequisites must be completed with C- or better. PREREQS: MTH 342 or MTH 355 and /or instructor approval. MTH 311 is recommended.

Top MTH 434 INTRODUCTION TO DIFFERENTIAL GEOMETRY (3)  Offered in current or future terms
Curves and surfaces in Euclidean space; geodesics; curvature; introduction to tensor algebra and differential forms; selected applications. All courses used to satisfy MTH prerequisites must be completed with C- or better. PREREQS: (MTH 255 or MTH 255H) and MTH 342 and (MTH 311 recommended)

Top MTH 435 DIFFERENTIAL GEOMETRY (3) 
Differentiable 2-manifolds; curvature; geodesics; tensor algebra and the algebra of exterior differential forms with emphasis on Euclidean space; differentiation of tensors and forms; integration of forms; selected applications. All courses used to satisfy MTH prerequisites must be completed with C- or better. PREREQS: MTH 434 or MTH 534 and /or instructor approval required.

Top MTH 437 GENERAL RELATIVITY (3)  Offered in current or future terms
Geometry of special relativity. Tensor analysis, metrics, geodesics, curvature. Einstein field equations, cosmological models, black holes. Selected topics such as global structure, conserved quantities, spinors. All courses used to satisfy MTH prerequisites must be completed with C- or better. PREREQS: (MTH 434 or MTH 534) and MTH 311 is recommended.

Top MTH 440 COMPUTATIONAL NUMBER THEORY (3) 
Development of the number theory used in some basic tests of primality and methods of factoring integers. Applications to cryptology. All courses used to satisfy MTH prerequisites must be completed with C- or better. PREREQS: MTH 231 or MTH 343 or MTH 355

Top MTH 441 APPLIED AND COMPUTATIONAL ALGEBRA (3)  Offered in current or future terms
Applications of fundamental algebraic systems to topics such as factorization of polynomials, finding roots of polynomials, error correcting codes. All courses used to satisfy MTH prerequisites must be completed with C- or better. PREREQS: MTH 343 and (MTH 342 or MTH 440 or MTH 540) and /or instructor approval required.

Top MTH 442 APPLIED AND COMPUTATIONAL ALGEBRA (3)  Offered in current or future terms
Applications of fundamental algebraic systems to topics such as factorization of polynomials, finding roots of polynomials, error correcting codes. All courses used to satisfy MTH prerequisites must be completed with C- or better. PREREQS: MTH 441 or MTH 541 and /or instructor approval required.

Top MTH 443 ABSTRACT LINEAR ALGEBRA (3) 
Abstract vector spaces. Linear transformations, eigenvalues and eigenvectors, the Jordan canonical form, inner product spaces. All courses used to satisfy MTH prerequisites must be completed with C- or better. PREREQS: MTH 342 or MTH 343

Top MTH 451 NUMERICAL LINEAR ALGEBRA (3) 
Computation of solutions of linear systems using direct and iterative methods; least-squares solution of overdetermined systems; computation of eigenvalues and eigenvectors. All courses used to satisfy MTH prerequisites must be completed with C- or better. PREREQS: MTH 341 and programming experience or instructor approval required. MTH 342 and MTH 351 are recommended.

Top MTH 452 NUMERICAL SOLUTION OF ORDINARY DIFFERENTIAL EQUATIONS (3)  Offered in current or future terms
Numerical solution of initial-value problems using Runge-Kutta methods and linear multistep methods; introduction to boundary-value problems. Analysis of stability, accuracy, and implementation of methods. All courses used to satisfy MTH prerequisites must be completed with C- or better. PREREQS: (MTH 256 or MTH 256H) and (MTH 306 or MTH 306H or MTH 341) and programming experience required and junior standing required. MTH 351 or MTH 451 or MTH 551 recommended.

Top MTH 453 NUMERICAL SOLUTION OF PARTIAL DIFFERENTIAL EQUATIONS (3)  Offered in current or future terms
Numerical solution of boundary value problems and initial-boundary value problems using finite difference and finite element methods. Analysis of stability, accuracy, and implementation of methods. All courses used to satisfy MTH prerequisites must be completed with C- or better. PREREQS: MTH 452 or MTH 552 and /or instructor approval required.

Top MTH 463 PROBABILITY I (3) 
An introduction to probability theory; topics covered include: the axioms of probability, probability spaces and models, independence, random variables; densities, distributions, expectation, and variance; probability inequalities, the law of large numbers, and the binomial central limit theorem. All courses used to satisfy MTH prerequisites must be completed with C- or better. PREREQS: MTH 312 and /or instructor approval required.

Top MTH 464 PROBABILITY II (3)  Offered in current or future terms
Transformations of random variables; sums of independent random variables, generating functions, characteristic functions, the central limit theorem and other weak limit theorems. All courses used to satisfy MTH prerequisites must be completed with C- or better. PREREQS: (MTH 463 or MTH 563) and MTH 341 and /or instructor approval required.

Top MTH 465 PROBABILITY III (3)  Offered in current or future terms
Random variables, central limit theorem; distributions of standard statistics; Markov chains, continuous and discontinuous stochastic processes. All courses used to satisfy MTH prerequisites must be completed with C- or better. PREREQS: MTH 464 or MTH 564 and /or instructor approval required.

Top MTH 467 ACTUARIAL MATHEMATICS (3)  Offered in current or future terms
Foundations of actuarial science from the point of view of mathematical models that arise in the design and management of insurance systems. Most models will be life insurance based. All courses used to satisfy MTH prerequisites must be completed with C- or better. PREREQS: MTH 463 or MTH 563 or ST 421 and /or instructor approval required.

Top MTH 480 SYSTEMS OF ORDINARY DIFFERENTIAL EQUATIONS (3)  Offered in current or future terms
Systems of two first-order differential equations, phase portraits, linearization and the stability of equilibria, conservative systems, reversible systems, limit cycles and the Poincare-Bendixson Theorem. Additional topics selected from Hamiltonian systems, Hopf bifurcation or Lorenz equations and chaos. MTH 480 and MTH 481 cannot both be taken for credit. All courses used to satisfy MTH prerequisites must be completed with C- or better. PREREQS: (MTH 256 or MTH 256H) and MTH 341

Top MTH 481 APPLIED ORDINARY DIFFERENTIAL EQUATIONS (3) 
Linear and nonlinear systems of ordinary differential equations, elementary stability theory, higher order equations, boundary value problems, series solution of ordinary differential equations. PREREQS: (MTH 256 or MTH 256H) and ( ( (MTH 253 or MTH 253H) and MTH 341) or (MTH 306 or MTH 306H) )

Top MTH 482 APPLIED PARTIAL DIFFERENTIAL EQUATIONS (3)  Offered in current or future terms
Partial differential equations, Bessel's and Legendre's equations, Fourier analysis, separation of variables, transform methods. PREREQS: MTH 480 or MTH 481 or MTH 581 and /or instructor approval required.

Top MTH 483 COMPLEX VARIABLES (3)  Offered in current or future terms
Introduction to the complex differential and integral calculus: Cauchy's theorem and formula, the residue calculus, power series and Laurent series, harmonic functions, conformal mapping, and applications. PREREQS: (MTH 256 or MTH 256H) and (MTH 253 or MTH 306 or MTH 306H)

Top MTH 490 INTENSIVE SUMMER RESEARCH IN MATHEMATICS (12)  Offered in current or future terms
Combination of seminar, lectures, and individual research projects designed to introduce students to research mathematics. This course is repeatable for a maximum of 99 credits. PREREQS: Open to participants in the OSU Undergraduate Summer Research Program in Mathematics (REU program).

Top MTH 491 ALGEBRA AND GEOMETRIC TRANSFORMATIONS (3) 
Ordered fields, number systems (natural, integer, rational, real, and complex), fundamental theorems of arithmetic and algebra, algebraic and transcendental numbers, constructible points and numbers and the classical geometric constructions, Polya's problem solving heuristics and strategies. Intended primarily for prospective mathematics teachers. All courses used to satisfy MTH prerequisites must be completed with C- or better. PREREQS: MTH 341

Top MTH 492 ALGEBRA AND GEOMETRIC TRANSFORMATIONS (3)  Offered in current or future terms
Major results of Euclidean geometry, axiom systems for Euclidean geometry, dependency tree of Euclidean theorems, groups of geometric transformations with applications to symmetries of plane and solid objects, Euler's formula, tilings and tesselations, isometries and similitudes of the plane (translations, rotations, reflections, glide reflections, dilations). Intended primarily for prospective mathematics teachers. All courses used to satisfy MTH prerequisites must be completed with C- or better. PREREQS: MTH 491 or MTH 591

Top MTH 493 ALGEBRA AND GEOMETRIC TRANSFORMATIONS (3)  Offered in current or future terms
Geometric transformations as real, complex, and matrix functions, invariants and genealogy of geometric transformations, extensions to transformations of the sphere and of three-dimensional space, selected applications chosen from fractals, analysis of frieze and crystallographic patterns, problem solving, groups of symmetries, computer graphics, and the use of dynamic geometry software. Intended primarily for prospective mathematics teachers. All courses used to satisfy MTH prerequisites must be completed with C- or better. PREREQS: MTH 492 or MTH 592

Top MTH 499 SPECIAL TOPICS (0-16) 
This course is repeatable for a maximum of 16 credits. PREREQS: Departmental approval required.

Top MTH 501 RESEARCH (1-16)  Offered in current or future terms
This course is repeatable for a maximum of 16 credits. PREREQS: Departmental approval required.

Top MTH 503 THESIS (1-16)  Offered in current or future terms
This course is repeatable for a maximum of 999 credits. PREREQS: Departmental approval required.

Top MTH 505 READING AND CONFERENCE (1-16)  Offered in current or future terms
This course is repeatable for a maximum of 16 credits. PREREQS: Departmental approval required.

Top MTH 506 PROJECTS (1-16)  Offered in current or future terms
Graded P/N. This course is repeatable for a maximum of 16 credits. PREREQS: Departmental approval required.

Top MTH 507 SEMINAR (1-16)  Offered in current or future terms
This course is repeatable for a maximum of 16 credits. PREREQS: Departmental approval required.

Top MTH 508 WORKSHOP (1-16) 
This course is repeatable for a maximum of 16 credits. PREREQS: Departmental approval required.

Top MTH 510 OCCUPATIONAL INTERNSHIP (3-12)  Offered in current or future terms
Planned and supervised training experience at selected government, industrial, or business placement sites. Must be followed by a one-hour post-internship seminar. Consult departmental head advisor. Graded P/N. This course is repeatable for a maximum of 16 credits. PREREQS: Departmental approval required.

Top MTH 511 REAL ANALYSIS (3) 
Topological concepts in metric, normed, and inner-product spaces. Properties of continuous functions, including the Stone-Weierstrass theorem. Introduction to function spaces, contraction mappings, fixed points, and applications. Lebesgue measure and integration in one and several variables, basic convergence theorems, Lebesgue spaces, Fubini's theorem, and applications to Fourier transforms and probability. All courses used to satisfy MTH prerequisites must be completed with B+ or better. PREREQS: MTH 312 and MTH 341

Top MTH 512 REAL ANALYSIS (3)  Offered in current or future terms
Topological concepts in metric, normed, and inner-product spaces. Properties of continuous functions, including the Stone-Weierstrass theorem. Introduction to function spaces, contraction mappings, fixed points, and applications. Lebesgue measure and integration in one and several variables, basic convergence theorems, Lebesgue spaces, Fubini's theorem, and applications to Fourier transforms and probability. All courses used to satisfy MTH prerequisites must be completed with C- or better. PREREQS: MTH 411 or MTH 511

Top MTH 513 REAL ANALYSIS (3)  Offered in current or future terms
Topological concepts in metric, normed, and inner-product spaces. Properties of continuous functions, including Stone-Weierstrass theorem. Introduction to function spaces, contraction mappings, fixed points, and applications. Lebesgue measure and integration in one and several variables, basic convergence theorems, Lebesgue spaces, Fubini's theorem, and applications to Fourier transforms and probability. All courses used to satisfy MTH prerequisites must be completed with C- or better. PREREQS: MTH 412 or MTH 512

Top MTH 520 MODELS AND METHODS OF APPLIED MATHEMATICS (3)  Offered in current or future terms
Discrete and continuous mathematical models and methods for analysis, including linear analysis, equilibrium and minimum principles, calculus of variations, principal component analysis and orthogonal expansions, asymptotic and Fourier analysis, least squares, constrained and unconstrained optimization, inverse problems, and Monte Carlo techniques. Particular models and methods covered may vary annually. All courses used to satisfy MTH prerequisites must be completed with C- or better. PREREQS: (MTH 256 or MTH 256H) and MTH 341 and junior standing or above.

Top MTH 524 DYNAMICAL SYSTEMS THEORY AND APPLICATIONS (3)  Offered in current or future terms
Theory, models, and problems for discrete and/or continuous dynamical systems. Depending on term, the emphasis may be toward deterministic or stochastic systems. Topics generally include stability theory, periodic behavior, and chaotic systems. Models selected from biology, economics, fluid dynamics, and electrical and mechanical systems. May be repeated once for credit with a different topic. All courses used to satisfy MTH prerequisites must be completed with C- or better. This course is repeatable for a maximum of 6 credits. PREREQS: MTH 341-MTH 342, MTH 311-MTH 312, MTH 361 or consent of instructor.

Top MTH 525 DYNAMICAL SYSTEMS THEORY AND APPLICATIONS (3)  Offered in current or future terms
Theory, models, and problems for discrete and/or continuous dynamical systems. Depending on term, the emphasis may be toward deterministic or stochastic systems. Topics generally include stability theory, periodic behavior, and chaotic systems. Models selected from biology, economics, fluid dynamics, and electrical and mechanical systems. May be repeated once for credit with a different topic. All courses used to satisfy MTH prerequisites must be completed with C- or better. This course is repeatable for a maximum of 6 credits. PREREQS: MTH 341 and MTH 342 and MTH 311 and MTH 312 and MTH 361 or consent of instructor.

Top MTH 531 GENERAL TOPOLOGY AND FUNDAMENTAL GROUPS (3) 
Topological spaces and maps. Separation axioms, compactness, convergence, extension theorems, metrizability and compactification. Product spaces and simplicial complexes. Definition and basic properties of the fundamental group functor, with applications to the theory of covering spaces. Selected topics from dimension theory, manifold theory, and other areas of topology. All courses used to satisfy MTH prerequisites must be completed with C- or better. PREREQS: MTH 531 and MTH 532 must be taken in order.

Top MTH 532 GENERAL TOPOLOGY AND FUNDAMENTAL GROUPS (3)  Offered in current or future terms
Topological spaces and maps. Separation axioms, compactness, convergence, extension theorems, metrizability and compactification. Product spaces and simplicial complexes. Definition and basic properties of the fundamental group functor, with applications to the theory of covering spaces. Selected topics from dimension theory, manifold theory, and other areas of topology. All courses used to satisfy MTH prerequisites must be completed with C- or better. PREREQS: MTH 531 and MTH 532 must be taken in order.

Top MTH 534 INTRODUCTION TO DIFFERENTIAL GEOMETRY (3)  Offered in current or future terms
Curves and surfaces in Euclidean space; geodesics; curvature; introduction to tensor algebra and differential forms; selected applications. All courses used to satisfy MTH prerequisites must be completed with C- or better. PREREQS: (MTH 255 or MTH 255H) and MTH 342 and (MTH 311 recommended)

Top MTH 535 DIFFERENTIAL GEOMETRY (3) 
Differentiable 2-manifolds; curvature; geodesics; tensor algebra and the algebra of exterior differential forms with emphasis on Euclidean space; differentiation of tensors and forms; integration of forms; selected applications. All courses used to satisfy MTH prerequisites must be completed with C- or better. PREREQS: (MTH 434 or MTH 534) or instructor approval required.

Top MTH 537 GENERAL RELATIVITY (3)  Offered in current or future terms
Geometry of special relativity. Tensor analysis, metrics, geodesics, curvature. Einstein field equations, cosmological models, black holes. Selected topics such as global structure, conserved quantities, spinors. All courses used to satisfy MTH prerequisites must be completed with C- or better. PREREQS: MTH 434 or MTH 534 and MTH 311 is recommended.

Top MTH 540 COMPUTATIONAL NUMBER THEORY (3) 
Development of the number theory used in some basic tests of primality and methods of factoring integers. Applications to cryptology. All courses used to satisfy MTH prerequisites must be completed with C- or better. PREREQS: MTH 231 or MTH 343 or MTH 355

Top MTH 541 APPLIED AND COMPUTATIONAL ALGEBRA (3)  Offered in current or future terms
Applications of fundamental algebraic systems to topics such as factorization of polynomials, finding roots of polynomials, error correcting codes. All courses used to satisfy MTH prerequisites must be completed with C- or better. PREREQS: MTH 343 and (MTH 342 or MTH 440 or MTH 540) or instructor approval required.

Top MTH 542 APPLIED AND COMPUTATIONAL ALGEBRA (3)  Offered in current or future terms
Applications of fundamental algebraic systems to topics such as factorization of polynomials, finding roots of polynomials, error correcting codes. All courses used to satisfy MTH prerequisites must be completed with C- or better. PREREQS: (MTH 441 or MTH 541) or instructor approval required.

Top MTH 543 ABSTRACT LINEAR ALGEBRA (3) 
Abstract vector spaces. Linear transformations, eigenvalues and eigenvectors, the Jordan canonical form, inner product spaces. All courses used to satisfy MTH prerequisites must be completed with C- or better. PREREQS: MTH 342 and MTH 343

Top MTH 551 NUMERICAL LINEAR ALGEBRA (3) 
Computation of solutions of linear systems using direct and iterative methods; least-squares solution of overdetermined systems; computation of eigenvalues and eigenvectors. All courses used to satisfy MTH prerequisites must be completed with C- or better. PREREQS: MTH 341 and programming experience or instructor approval required. MTH 342 are MTH 351 are recommended.

Top MTH 552 NUMERICAL SOLUTION OF ORDINARY DIFFERENTIAL EQUATIONS (3)  Offered in current or future terms
Numerical solution of initial-value problems using Runge-Kutta methods and linear multistep methods; introduction to boundary-value problems. Analysis of stability, accuracy, and implementation of methods. All courses used to satisfy MTH prerequisites must be completed with C- or better. PREREQS: (MTH 256 or MTH 256H) and (MTH 306 or MTH 306H or MTH 341) and programming experience required and junior standing required. MTH 351 or MTH 451 or MTH 551 recommended.

Top MTH 553 NUMERICAL SOLUTION OF PARTIAL DIFFERENTIAL EQUATIONS (3)  Offered in current or future terms
Numerical solution of boundary value problems and initial-boundary value problems using finite difference and finite element methods. Analysis of stability, accuracy, and implementation of methods. All courses used to satisfy MTH prerequisites must be completed with C- or better. PREREQS: (MTH 452 or MTH 552) or instructor approval required.

Top MTH 563 PROBABILITY I (3) 
An introduction to probability theory; topics covered include: the axioms of probability, probability spaces and models, independence, random variables; densities, distributions, expectation, and variance; probability inequalities, the law of large numbers, and the binomial central limit theorem. All courses used to satisfy MTH prerequisites must be completed with C- or better. PREREQS: MTH 312 or instructor approval required.

Top MTH 564 PROBABILITY II (3)  Offered in current or future terms
Transformations of random variables; sums of independent random variables, generating functions, characteristic functions, the central limit theorem and other weak limit theorems. All courses used to satisfy MTH prerequisites must be completed with C- or better. PREREQS: (MTH 463 or MTH 563) and MTH 341 or instructor approval required.

Top MTH 565 PROBABILITY III (3)  Offered in current or future terms
Random variables, central limit theorem; distributions of standard statistics; Markov chains, continuous and discontinuous stochastic processes. All courses used to satisfy MTH prerequisites must be completed with C- or better. PREREQS: (MTH 464 or MTH 564) or instructor approval required.

Top MTH 567 ACTUARIAL MATHEMATICS (3)  Offered in current or future terms
Foundations of actuarial science from the point of view of mathematical models that arise in the design and management of insurance systems. Most models will be life insurance based. All courses used to satisfy MTH prerequisites must be completed with C- or better. PREREQS: (MTH 463 or MTH 563) or ST 421.

Top MTH 574 NUMBER SYSTEMS AND OPERATIONS IN K-8 MATHEMATICS (3) 
Key ideas and topics in number systems, operations, place value, and algorithms critical for the mathematics content knowledge of elementary teachers in grades K-8. Based on the recommendations of The Mathematical Education of Teachers by the Conference Board of the Mathematical Sciences. All courses used to satisfy MTH prerequisites must be completed with C- or better. PREREQS: MTH 390 or instructor approval required.

Top MTH 575 COMPARING GEOMETRIES IN K-8 MATHEMATICS (3) 
Key ideas and topics in Euclidean and non-Euclidean geometries critical for the mathematics content knowledge of elementary teachers in grades K-8. Based on the recommendations of The Mathematical Education of Teachers by the Conference Board of the Mathematical Sciences. All courses used to satisfy MTH prerequisites must be completed with C- or better. PREREQS: MTH 390 or instructor approval required.

Top MTH 576 ALGEBRA AND FUNCTION IN K-8 MATHEMATICS (3) 
Key ideas and topics in algebra and function concepts critical for the mathematics content knowledge of elementary teachers in grades K-8. Based on the recommendations of The Mathematical Education of Teachers by the Conference Board of the Mathematical Sciences. All courses used to satisfy MTH prerequisites must be completed with C- or better. PREREQS: MTH 390 or instructor approval required.

Top MTH 578 PROBABILITY AND DATA ANALYSIS IN K-8 MATHEMATICS (3) 
Key ideas and topics in probability, data analysis, and statistics critical for the mathematics content knowledge of elementary teachers in grades K-8. Based on the recommendations of The Mathematical Education of Teachers by the Conference Board of the Mathematical Sciences. All courses used to satisfy MTH prerequisites must be completed with C- or better. PREREQS: MTH 390 or instructor approval required.

Top MTH 581 APPLIED ORDINARY DIFFERENTIAL EQUATIONS (3) 
Linear and nonlinear systems of ordinary differential equations, elementary stability theory, higher order equations, boundary value problems, series solution of ordinary differential equations. PREREQS: (MTH 256 or MTH 256H) and (((MTH 253 or MTH 253H) and MTH 341) or (MTH 306 or MTH 306H))

Top MTH 582 APPLIED PARTIAL DIFFERENTIAL EQUATIONS (3)  Offered in current or future terms
Partial differential equations, Bessel's and Legendre's equations, Fourier analysis, separation of variables, transform methods. PREREQS: MTH 480 or MTH 481 or MTH 581 or instructor approval required.

Top MTH 583 COMPLEX VARIABLES (3)  Offered in current or future terms
Introduction to the complex differential and integral calculus: Cuachy's theorem and formula, the residue calculus, power series and Laurent series, harmonic functions, conformal mapping, and applications. PREREQS: (MTH 256 or MTH 256H) and (MTH 253 or MTH 306 or MTH 306H)

Top MTH 590 TOPICS IN SECONDARY MATHEMATICS (3) 
Key ideas and topics in discrete mathematics critical for the mathematics content knowledge of middle and high school teachers in grades 6-12. Based on the recommendations of The Mathematical Education of Teachers by the Conference Board of the Mathematical Sciences. All courses used to satisfy MTH prerequisites must be completed with C- or better. PREREQS: MTH 390 or instructor approval required.

Top MTH 591 ALGEBRA AND GEOMETRIC TRANSFORMATIONS (3) 
Ordered fields, number systems (natural, integer, rational, real, and complex), fundamental theorems of arithmetic and algebra, algebraic and transcendental numbers, constructible points and numbers and the classical geometric constructions, Polya's problem solving heuristics and strategies. Intended primarily for prospective mathematics teachers. All courses used to satisfy MTH prerequisites must be completed with C- or better. PREREQS: MTH 341

Top MTH 592 ALGEBRA AND GEOMETRIC TRANSFORMATIONS (3)  Offered in current or future terms
Major results of Euclidean geometry, axiom systems for Euclidean geometry, dependency tree of Euclidean theorems, groups of geometric transformations with applications to symmetries of plane and solid objects, Euler's formula, tilings and tesselations, isometries and similitudes of the plane (translations, rotations, reflections, glide reflections, dilations). Intended primarily for prospective mathematics teachers. All courses used to satisfy MTH prerequisites must be completed with C- or better. PREREQS: MTH 491 or MTH 591

Top MTH 593 ALGEBRA AND GEOMETRIC TRANSFORMATIONS (3)  Offered in current or future terms
Geometric transformations as real, complex, and matrix functions, invariants and genealogy of geometric transformations, extensions to transformations of the sphere and of three-dimensional space, selected applications chosen from fractals, analysis of frieze and crystallographic patterns, problem solving, groups of symmetries, computer graphics, and the use of dynamic geometry software. Intended primarily for prospective mathematics teachers. All courses used to satisfy MTH prerequisites must be completed with C- or better. PREREQS: MTH 492 or MTH 592

Top MTH 594 NUMBER SYSTEMS AND OPERATIONS IN SECONDARY MATHEMATICS (3) 
Key ideas and topics in number systems, operations, place value, and algorithms critical for the mathematics content knowledge of middle and high school teachers in grades 6-12. Based on the recommendations of The Mathematical Education of Teachers by the Conference Board of the Mathematical Sciences. All courses used to satisfy MTH prerequisites must be completed with C- or better. PREREQS: MTH 390 or instructor approval required.

Top MTH 595 COMPARING GEOMETRIES IN SECONDARY MATHEMATICS (3) 
Key ideas and topics in Euclidean and non-Euclidean geometries critical for the mathematics content knowledge of middle and high school teachers in grades 6-12. Based on the recommendations of The Mathematical Education of Teachers by the Conference Board of the Mathematical Sciences. All courses used to satisfy MTH prerequisites must be completed with C- or better. PREREQS: MTH 390 or instructor approval required.

Top MTH 596 ALGEBRA AND FUNCTION IN SECONDARY MATHEMATICS (3) 
Key ideas and topics in algebra and function concepts critical for the mathematics content knowledge of middle and high school teachers in grades 6-12. Based on the recommendations of The Mathematical Education of Teachers by the Conference Board of the Mathematical Sciences. All courses used to satisfy MTH prerequisites must be completed with C- or better. PREREQS: MTH 390 or instructor approval required.

Top MTH 598 PROBABILITY AND DATA ANALYSIS IN SECONDARY MATHEMATICS (3) 
Key ideas and topics in probability, data analysis, and statistics critical for the mathematics content knowledge of middle and high school teachers in grades 6-12. Based on the recommendations of The Mathematical Education of Teachers by the Conference Board of the Mathematical Sciences. All courses used to satisfy MTH prerequisites must be completed with C- or better. PREREQS: MTH 390 or instructor approval required.

Top MTH 599 SPECIAL TOPICS (0-16)  Offered in current or future terms
Topics may vary. This course is repeatable for a maximum of 18 credits. PREREQS: Instructor approval required.

Top MTH 601 RESEARCH (1-16)  Offered in current or future terms
This course is repeatable for a maximum of 16 credits. PREREQS: Departmental approval required.

Top MTH 603 THESIS (1-16)  Offered in current or future terms
This course is repeatable for a maximum of 999 credits. PREREQS: Departmental approval required.

Top MTH 605 READING AND CONFERENCE (1-16)  Offered in current or future terms
This course is repeatable for a maximum of 16 credits. PREREQS: Departmental approval required.

Top MTH 606 SPECIAL PROJECTS (1-16)  Offered in current or future terms
Graded P/N. This course is repeatable for a maximum of 16 credits. PREREQS: Departmental approval required.

Top MTH 607 SEMINAR (1-16)  Offered in current or future terms
This course is repeatable for a maximum of 16 credits. PREREQS: Departmental approval required.

Top MTH 611 COMPLEX ANALYSIS (3)  Offered in current or future terms
Basic theory of analytic functions of a complex variable, including Cauchy's theorem, residue theorem, analytic continuation, conformal mappings, entire, and meromorphic functions. All courses used to satisfy MTH prerequisites must be completed with C- or better. PREREQS: (MTH 411 or MTH 511). MTH 611 and MTH 612 must be taken in order.

Top MTH 612 COMPLEX ANALYSIS (3) 
Basic theory of analytic functions of a complex variable, including Cauchy's theorem, residue theorem, analytic continuation, conformal mappings, entire, and meromorphic functions. All courses used to satisfy MTH prerequisites must be completed with C- or better. PREREQS: MTH 611

Top MTH 614 FUNCTIONAL ANALYSIS (3) 
Topological vector spaces, generalized functions, operator theory. Normally offered alternate years. All courses used to satisfy MTH prerequisites must be completed with C- or better. PREREQS: MTH 513

Top MTH 619 TOPICS IN ANALYSIS (1-12)  Offered in current or future terms
This course is repeatable for a maximum of 12 credits.

Top MTH 621 DIFFERENTIAL AND INTEGRAL EQUATIONS OF MATHEMATICAL PHYSICS (3) 
Partial differential equations of physics, including those of potential theory, wave propagation, and heat flow, treated by classical means, generalized functions and variational principles. Square summable function methods and integral equations. All courses used to satisfy MTH prerequisites must be completed with C- or better. This course is repeatable for a maximum of 6 credits. PREREQS: 6 credits of senior-level analysis or instructor consent. MTH 621, MTH 622, MTH 623 must be taken in order.

Top MTH 622 DIFFERENTIAL AND INTEGRAL EQUATIONS OF MATHEMATICAL PHYSICS (3)  Offered in current or future terms
Partial differential equations of physics, including those of potential theory, wave propagation, and heat flow, treated by classical means, generalized functions and variational principles. Square summable function methods and integral equations. All courses used to satisfy MTH prerequisites must be completed with C- or better. This course is repeatable for a maximum of 6 credits. PREREQS: MTH 621 and 6 credits of senior-level analysis or instructor consent.

Top MTH 623 DIFFERENTIAL AND INTEGRAL EQUATIONS OF MATHEMATICAL PHYSICS (3)  Offered in current or future terms
Partial differential equations of physics, including those of potential theory, wave propagation, and heat flow, treated by classical means, generalized functions and variational principles. Square summable function methods and integral equations. All courses used to satisfy MTH prerequisites must be completed with C- or better. This course is repeatable for a maximum of 6 credits. PREREQS: MTH 622 and 6 credits of senior-level analysis or instructor consent.

Top MTH 627 PARTIAL DIFFERENTIAL EQUATIONS (3) 
Advanced theory including existence proofs and distributional approach. Normally offered alternate years. All courses used to satisfy MTH prerequisites must be completed with C- or better. PREREQS: MTH 413 or MTH 513 or instructor consent.

Top MTH 628 PARTIAL DIFFERENTIAL EQUATIONS (3) 
Advanced theory including existence proofs and distributional approach. Normally offered alternate years. All courses used to satisfy MTH prerequisites must be completed with C- or better. PREREQS: MTH 627 or consent of instructor.

Top MTH 634 ALGEBRAIC TOPOLOGY (3) 
Simplicial and singular homology, products, and cohomology; applications to fixed-point and separation theorems. Topics selected from homotopy, manifold and obstruction theory. Normally offered alternate years. All courses used to satisfy MTH prerequisites must be completed with C- or better. PREREQS: MTH 532. MTH 634, MTH 635, MTH 636 must be taken in order.

Top MTH 635 ALGEBRAIC TOPOLOGY (3)  Offered in current or future terms
Simplicial and singular homology, products, and cohomology; applications to fixed-point and separation theorems. Topics selected from homotopy, manifold and obstruction theory. Normally offered alternate years. All courses used to satisfy MTH prerequisites must be completed with C- or better. PREREQS: MTH 532 and MTH 634

Top MTH 636 ALGEBRAIC TOPOLOGY (3)  Offered in current or future terms
Simplicial and singular homology, products, and cohomology; applications to fixed-point and separation theorems. Topics selected from homotopy, manifold and obstruction theory. Normally offered alternate years. PREREQS: MTH 532 and MTH 635

Top MTH 644 ABSTRACT ALGEBRA (3)  Offered in current or future terms
Group theory, rings and fields, Galois theory. All courses used to satisfy MTH prerequisites must be completed with C- or better. PREREQS: Graduate standing in mathematics or a related field, or instructor approval required. MTH 443 or MTH 543 is recommended.

Top MTH 645 ABSTRACT ALGEBRA (3)  Offered in current or future terms
Group theory, rings and fields, Galois theory. All courses used to satisfy MTH prerequisites must be completed with C- or better. PREREQS: Graduate standing in mathematics or a related field, or instructor approval required. MTH 644 is recommended.

Top MTH 649 TOPICS IN ALGEBRA AND NUMBER THEORY (3)  Offered in current or future terms
This course is repeatable for a maximum of 27 credits.

Top MTH 654 NUMERICAL ANALYSIS (3) 
Advanced topics in numerical analysis, such as finite volume methods and finite element methods for partial differential equations, numerical methods for inverse problems, and image processing. All courses used to satisfy MTH prerequisites must be completed with C- or better. PREREQS: (MTH 451 or MTH 551) and (MTH 452 or MTH 552) and (MTH 453 or MTH 553) or equivalent or instructor's consent.

Top MTH 655 NUMERICAL ANALYSIS (3)  Offered in current or future terms
Advanced topics in numerical analysis, such as finite volume methods and finite element methods for partial differential equations, numerical methods for inverse problems, and image processing. All courses used to satisfy MTH prerequisites must be completed with C- or better. PREREQS: MTH 654 or instructor's consent.

Top MTH 656 NUMERICAL ANALYSIS (3)  Offered in current or future terms
Advanced topics in numerical analysis, such as finite volume methods and finite element methods for partial differential equations, numerical methods for inverse problems, and image processing. All courses used to satisfy MTH prerequisites must be completed with C- or better. PREREQS: MTH 655 or instructor's consent.

Top MTH 657 TOPICS IN APPLIED MATHEMATICS (1-12)  Offered in current or future terms
Previous topics have included turbulence, financial mathematics and probability methods in partial differential equations. This course is repeatable for a maximum of 12 credits.

Top MTH 658 TOPICS IN MATHEMATICAL MODELING (1-12)  Offered in current or future terms
Mathematical treatment of topics of current interest in the physical and biological sciences and technology. May be repeated for credit when topic varies. This course is repeatable for a maximum of 12 credits. PREREQS: Instructor approval required.

Top MTH 659 TOPICS IN NUMERICAL ANALYSIS (1-12)  Offered in current or future terms
This course is repeatable for a maximum of 12 credits.

Top MTH 664 PROBABILITY THEORY (3)  Offered in current or future terms
General theory of probability measures and random variables, including weak convergence, characteristic functions, central limit theory, conditional expectations, martingales. All courses used to satisfy MTH prerequisites must be completed with C- or better. PREREQS: MTH 411 or MTH 511 or equivalent.

Top MTH 665 PROBABILITY THEORY (3)  Offered in current or future terms
General theory of probability measures and random variables, including weak convergence, characteristic functions, the central limit theorem, and the Brownian motion process. All courses used to satisfy MTH prerequisites must be completed with C- or better. PREREQS: MTH 664

Top MTH 669 TOPICS IN STOCHASTIC PROCESSES (1-12)  Offered in current or future terms
Previous topics have included Markov processes, martingales, branching processes, and stochastic differential equations. This course is repeatable for a maximum of 12 credits.

Top MTH 674 DIFFERENTIAL GEOMETRY OF MANIFOLDS (3)  Offered in current or future terms
Differentiable manifolds, tangent bundles, vector fields and flows, submanifolds, Riemannian metrics, differential forms, integration on manifolds. Selected topics such as foliations, Lie groups, and de Rham cohomology. All courses used to satisfy MTH prerequisites must be completed with C- or better. PREREQS: MTH 341 and (MTH 411 or MTH 511). MTH 674 or MTH 675 must be taken in order.

Top MTH 675 DIFFERENTIAL GEOMETRY OF MANIFOLDS (3) 
Differentiable manifolds, connections in linear bundles, Riemannian manifolds and submanifolds. Selected topics such as variational theory of geodesics, harmonic forms, and characteristic classes. Normally offered alternate years. All courses used to satisfy MTH prerequisites must be completed with C- or better. PREREQS: MTH 674

Top MTH 676 TOPICS IN TOPOLOGY (3)  Offered in current or future terms
This course is repeatable for a maximum of 27 credits.

Top MTH 679 TOPICS IN GEOMETRY (1-12)  Offered in current or future terms
This course is repeatable for a maximum of 12 credits.

Top MTH 680 MODERN APPROACHES TO CALCULUS (3) 
Alternative approaches to calculus instruction based on the availability of computers and calculators. Applications of symbolic-graphical calculators, spreadsheets, symbolic algebra systems, and graphics packages to the teaching of calculus. All courses used to satisfy MTH prerequisites must be completed with C- or better. PREREQS: MTH 253 and instructor approval required.

Top MTH 682 TEACHING AND LEARNING PROBABILITY AND STATISTICS (3) 
Experimental, activity-based approaches to introductory probability and statistics are explored. Topics include computer simulations, exploratory data analysis, misuses of statistics, and misconceptions of probability. PREREQS: Instructor approval required.

Top MTH 684 COMPUTERS AND MATHEMATICS (3) 
A variety of mathematical problems are investigated with a laboratory approach using microcomputers and a wide variety of software. Problems may be taken from number theory, calculus, geometry, probability, and elementary numerical analysis. PREREQS: Ability to program in either BASIC or PASCAL and instructor approval required.

Top MTH 685 ADVANCED PROBLEM SOLVING (3) 
Mathematical problem solving using the heuristic approach of George Polya. Problems may be taken from a variety of areas, including number theory, calculus, geometry, probability, abstract and linear algebra. PREREQS: Instructor approval required.

Top MTH 689 TOPICS IN MATHEMATICS EDUCATION (1-12)  Offered in current or future terms
Topics may vary. This course is repeatable for a maximum of 12 credits.

Top MTH 699 SPECIAL TOPICS (1-16) 
This course is repeatable for a maximum of 16 credits.



 
Top You may return to this page by using any of the following Quick-Jump keywords:
MTH
Catalog HomeCatlog IndexCatalog SearchCatalog ArchiveCatalog Help
OSU HomeProspective StudentsCurrent StudentsFaculty & StaffAlumni & FriendsVisitors
Find SomeoneCampus MapsOSU Site Map