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Mathematics: Courses
MTH 115 Survey of Algebra and Trigonometry
Credits: 4Semester(s): F Sp
Prerequisites: None
Corequisites: None
Type: LEC/LAB
A pre-calculus course; covers topics from the NYS Regents Course III: order, absolute value, inequalities, exponents, radicals, polynomials, rational expressions, solving systems of linear equations, quadratic equations and inequalities, functions (rational, logarithmic, exponential, trigonometric), graphing, trigonometric identities. Emphasizes applications to problems. This fast-paced course reviews Course III and prepares students for further courses in mathematics. Students with three years of high school math but with weak algebra skills should take ULC 147 before MTH 115. Students who have had only two years of high school mathematics may take MTH 115, or may prefer to take a two-semester sequence covering this material more thoroughly and at a more moderate pace: ULC 147 and ULC 148.
MTH 117 Applications of Mathematical Concepts
Credits: 3Semester(s): N/A
Prerequisites: two years of NYS Regents-level high school mathematics
Corequisites: None
Type: LEC
Intended to be non-technical. Emphasizes conceptually sophisticated and aesthetically appealing mathematical discoveries of the twentieth century, such as mathematical aspects of social choice, management science, and growth and symmetry.
MTH 119 Survey of Finite Mathematics
Credits: 4Semester(s): N/A
Prerequisites: three years of NYS Regents-level high school mathematics
Corequisites: None
Type: LEC/LAB
Elementary topics in topology, probability, numerical sequences, and groups.
MTH 120 Selected Topics in Calculus
Credits: 1 - 3Semester(s): F Sp Su
Prerequisites: permission of undergraduate director
Corequisites: None
Type: TUT
Allows transfer students to efficiently learn specific topics from UB calculus courses that were not covered in calculus courses they took at other institutions.
MTH 121 Survey of Calculus and its Applications I
Credits: 4Semester(s): F Sp Su
Prerequisites: NYS Regents Course III or MTH 115 with grade of C or higher
Corequisites: None
Type: LEC/LAB
For students in social, biological, and management sciences. Limits, continuity, differentiation of algebraic and exponential functions; applications; introduces integration.
MTH 122 Survey of Calculus and Its Applications II
Credits: 4Semester(s): F Sp Su
Prerequisites: MTH 121 or MTH 131 with grade of C or higher
Corequisites: None
Type: LEC/LAB
Continuation of MTH 121. Maximization of functions of several variables using both calculus and elementary linear programming techniques. Elementary integration, simple differential equations, matrix algebra.
MTH 131 Mathematical Analysis for Management
Credits: 4Semester(s): F Sp Su
Prerequisites: NYS Regents Course III or MTH 115 with grade of C or higher
Corequisites: None
Type: LEC/LAB
For students in Management. Limits, continuity, differentiation of algebraic and exponential functions. Applications, partial derivatives and applications. Introduces integration.
MTH 141 College Calculus I
Credits: 4Semester(s): F Sp Su
Prerequisites: trigonometry or NYS Regents Course III or MTH 115 with grade of C or higher
Corequisites: None
Type: LEC/LAB
Beginning of a three-semester sequence in calculus for students of mathematics, natural sciences, and engineering. Covers differentiation and integration with applications.
MTH 142 College Calculus II
Credits: 4Semester(s): F Sp Su
Prerequisites: MTH 141 with grade of C or higher
Corequisites: None
Type: LEC/LAB
MTH 121 is usually not adequate preparation for MTH 142.
Differentiation and integration of transcendental functions; infinite sequences; series and power series; integration methods; additional topics in analytic geometry.
MTH 153 Honors Calculus I
Credits: 4Semester(s): F
Prerequisites: permission of instructor or a score of 4 or 5 on the advanced placement calculus exam or equivalent. Credit may be given in addition to advanced placement credit
Corequisites: None
Type: LEC/LAB
First course in the honors sequence for intended math majors or for others with suitable preparation. Emphasizes proofs and concepts of calculus.
MTH 154 Honors Calculus II
Credits: 4Semester(s): Sp
Prerequisites: MTH 153 with grade of C or higher or permission of instructor
Corequisites: None
Type: LEC/LAB
Continuation of MTH 153. May be taken in addition to advanced placement credit.
MTH 172 Principles of Mathematical Computing
Credits: 4Semester(s): Sp
Prerequisites: CSE 113 with grade of C or higher
Corequisites: None
Type: LEC/LAB
MTH 191 Introduction to Discrete Mathematics I
Credits: 4Semester(s): N/A
Prerequisites: working knowledge of a programming language
Corequisites: None
Type: LEC/LAB
First part of a two-semester sequence. Provides the mathematical foundations for the study of computer science. Also approved for mathematics majors in Concentration GS/ED. Topics include sets, relations, functions, mathematical induction, fundamental counting methods, difference equations, and sequences and series.
MTH 192 Introduction to Discrete Mathematics II
Credits: 4Semester(s): Sp
Prerequisites: MTH 191 or CSE 191 with grade of C or higher
Corequisites: None
Type: LEC/LAB
Second part of a two-semester sequence. Provides the mathematical foundations for the study of computer science. Topics include discrete probability, mathematical logic, linear algebra, and graph theory. Same as CSE 192.
MTH 241 College Calculus III
Credits: 4Semester(s): F Sp Su
Prerequisites: MTH 142 with grade of C or higher
Corequisites: None
Type: LEC/LAB
MTH 121-MTH 122 is usually not adequate preparation for MTH 241.
Geometry and vectors of n-dimensional space; Green's theorem, Gauss theorem, Stokes theorem; multidimensional differentiation and integration; application to 2- and 3-D space.
MTH 251 Honors Calculus III
Credits: 4Semester(s): F
Prerequisites: permission of instructor
Corequisites: None
Type: LEC/LAB
Third-semester calculus course for honors students and students with an excellent record in previous calculus courses. Emphasizes proofs and concepts of calculus.
MTH 272 Mathematics of Data Manipulation
Credits: 4Semester(s): Sp
Prerequisites: MTH 172 or CSE 114 with grade of C or higher
Corequisites: None
Type: LEC/LAB
Aspects of data representation and manipulation needed for applications programming together with an introduction to their mathematical theory.
MTH 306 Introduction to Differential Equations
Credits: 4Semester(s): F Sp Su
Prerequisites: MTH 142 with grade of C or higher
Corequisites: None
Type: LEC/LAB
Analytic solutions, qualitative behavior of solutions to differential equations. First-order and higher-order ordinary differential equations, including nonlinear equations. Covers analytic, geometric, and numerical perspectives as well as an interplay between methods and model problems. Discusses necessary matrix theory and explores differential equation models of phenomena from various disciplines. Uses a mathematical software system designed to aid in the numerical and qualitative study of solutions, and in the geometric interpretation of solutions.
MTH 309 Introductory Linear Algebra
Credits: 4Semester(s): F Sp Su
Prerequisites: MTH 142 or MTH 192 or CSE 192 with grade of C or higher
Corequisites: None
Type: LEC/LAB
Linear equations, matrices, determinants, vector spaces, linear mappings, inner products, eigenvalues, eigenvectors.
MTH 311 Introduction to Higher Mathematics
Credits: 4Semester(s): F Sp
Prerequisites: MTH 241 with grade of C or higher
Corequisites: None
Type: LEC/LAB
Develops the student's ability to read, comprehend and construct rigorous proofs. Topics may include the following: the number systems N, Z, Q, R and the existence of irrational numbers; sets and functions; size of sets(finite/infinite, countable/uncountable); the countability of the rationals and the uncountability of the real numbers; boundedness; upper and lower bounds; lub's and glb's; lub and glb property; density of the rationals in the reals; Archimedean property of the reals; mathematical induction, including strong induction and the well-ordering of the natural numbers; sequences of real numbers, including the Monotone Convergence Theorem, Cauchy sequences, and the Bolzano-Weierstrass Theorem.
MTH 313 Elements of Set Theory
Credits: 4Semester(s): N/A
Prerequisites: MTH 241 with grade of C or higher or permission of instructor
Corequisites: None
Type: LEC/LAB
Cardinals, ordinals, order-types, and operations on them. Axiom of choice. Sets.
MTH 314 Logic for Computer Science
Credits: 3Semester(s): F
Prerequisites: at least one year of previous training in college mathematics and one year of programming
Corequisites: None
Type: LEC
Introduces predicate calculus, emphasizing proof theory rather than model theory. Gives some programming exercises.
MTH 336 Projective Geometry
Credits: 4Semester(s): N/A
Prerequisites: MTH 241 with grade of C or higher or permission of instructor
Corequisites: None
Type: LEC
Projective geometry is both a generalization and a simplification of familiar Euclidean geometry, omitting concepts of distance and angle. The small set of axioms has an important duality property. There are several famous theorems relating figures in the plane. May consider Three-D geometry and specialization to Euclidean and other geometries, as time permits. Requires no previous geometry.
MTH 337 Introduction to Scientific and Methematical Computing
Credits: 4Semester(s): N/A
Prerequisites: MTH 141, MTH 142 with grade of C or higher
Corequisites: None
Type: LEC/LAB
Computing now plays an essential and ever-expanding role in science and mathematics. This course provides a broad introduction to computing in the sciences and in both abstract and applied mathematics. It is accessible to students early in their undergraduate program, thereby opening the door to the profitable use of computation throughout the junior and senior years.
MTH 343 Codes
Credits: 3Semester(s): N/A
Prerequisites: MTH 309 with grade of C or higher
Corequisites: None
Type: LEC
Studies the characteristics and mathematical foundations of several codes widely used in information handling for data compression, error detection, error correction and other special purposes. The codes studied include binary, comma-free, cryptographic, cyclic, Hamming, and Huffman.
MTH 353 Introduction to Combinatorics I
Credits: 3Semester(s): F
Prerequisites: MTH 241 with grade of C or higher
Corequisites: None
Type: LEC
Permutations, combinations, and other problems of selecting and arranging objects subject to various restrictions; generating functions; recurrence relations; inclusion-exclusion theorem.
MTH 354 Introduction to Combinatorics II
Credits: 3Semester(s): Sp
Prerequisites: MTH 241 with grade of C or higher
Corequisites: None
Type: LEC
Theory of graphs: Eulerian and Hamiltonian circuits; trees; planarity; colorability; directed graphs and tournaments; isomorphism; adjacency matrix; applications to problems in communication, scheduling, and traffic flow.
MTH 411 Probability Theory
Credits: 4Semester(s): F Sp
Prerequisites: MTH 141-MTH 142 or equivalent with grades of C or higher
Corequisites: None
Type: LEC/LAB
A first course in probability. Introduces the basic concepts of probability theory and addresses many concrete problems. A list of basic concepts includes axioms of probability, conditional probability, independence, random variables (continuous and discrete), distribution functions, expectation, variance, joint distribution functions, limit theorems.
MTH 412 Introduction to Statistical Inference
Credits: 4Semester(s): F
Prerequisites: MTH 411 with a grade of C or higher or permission of instructor
Corequisites: None
Type: LEC/LAB
Topics include: review of probability, conditional probability, Bayes' Theorem; random variables and distributions; expectation and properties; covariance, correlation, and conditional expectation; special distributions; Central Limit Theorem and applications; estimations, including Bayes; estimators, maximum likelihood estimators, and their properties. Includes use of sufficient statistics to improve estimators, distribution of estimators, unbiasedness, hypothesis testing, linear statistical models, and statistical inference from the Bayesian point of view.
MTH 413 Introduction to Mathematical Logic I
Credits: 3Semester(s): F
Prerequisites: MTH 313 with grade of C or higher or permission of instructor
Corequisites: None
Type: LEC
Informal and formal development of propositional calculus; predicate calculus and predicate calculus with equality; completeness theorem and some consequences.
MTH 414 Introduction to Mathematical Logic II
Credits: 3Semester(s): Sp
Prerequisites: MTH 314 or MTH 413 with grade of C or higher
Corequisites: None
Type: LEC
Godel's incompleteness theorem; decidability and recursiveness; consistency problems.
MTH 417 Survey of Multivariable Calculus
Credits: 4Semester(s): F Sp
Prerequisites: MTH 241 with grade of C or higher
Corequisites: None
Type: LEC/LAB
For math majors in Concentration C, and majors of science and engineering. Surveys functions of several variables; differentiation, composite, and implicit functions; critical points; line integrals; Green's theorem. Vector field theory; gradient, divergence, and curl; integral theorems. Introduces functions of a complex variable; curves and regions in the complex plane; analytic functions, Cauchy-Riemann equations, Cauchy integral formula. Applications.
MTH 418 Survey of Partial Differential Equations
Credits: 4Semester(s): F Sp
Prerequisites: MTH 306 with grade of C or higher
Corequisites: None
Type: LEC/LAB
Surveys elementary differential equations of physics; separation of variables and superposition of solutions; orthogonal functions and Fourier series. Introduces boundary value problems, Fourier and Laplace transforms.
MTH 420 Introduction to Algebra II
Credits: 4Semester(s): Sp
Prerequisites: MTH 309 with grade of C or higher recommended; MTH 311 with grade of C or higher
Corequisites: None
Type: LEC/LAB
Topics in advanced linear algebra.
MTH 424 Survey of Fourier Series Methods
Credits: 3Semester(s): N/A
Prerequisites: MTH 431 with grade of C or higher or permission of instructor
Corequisites: None
Type: LEC
For mathematics, science, and engineering majors with strong mathematics backgrounds. Theory of Fourier series and transforms, orthogonal sets, special functions, applications.
MTH 425 Introduction to Complex Variables I
Credits: 3Semester(s): Sp
Prerequisites: MTH 241 with grade of C or higher
Corequisites: None
Type: LEC
For students of physics, electrical and other areas of engineering, and mathematics. Analyticity; calculus over the complex numbers. Cauchy theorems, residues, singularities, conformal mapping. Weierstrass convergence theorem; analytic continuation.
MTH 426 Introduction to Complex Variables II
Credits: 3Semester(s): N/A
Prerequisites: MTH 425 with grade of C or higher
Corequisites: None
Type: LEC
Continuation of MTH 425. Weierstrass and Mittag-Leffler theorems, harmonic functions, conformal mapping and Green's function, analytic equivalence, and Riemann's mapping theorem. Montel's theorem, external mappings.
MTH 427 Introduction to Topology I
Credits: 3Semester(s): F
Prerequisites: MTH 431 with grade of C or higher
Corequisites: None
Type: LEC
Abstract topological spaces, bases, convergence, filters, and nets; separation axioms, continuity, and homeomorphisms; connectedness, separability, compactness.
MTH 428 Introduction to Topology II
Credits: 3Semester(s): Sp
Prerequisites: MTH 427 with grade of C or higher
Corequisites: None
Type: LEC
Continuation of MTH 427. Product and quotient topologies; compactification; complete semi-metric spaces; metrization; topological algebra. Applies results to such fields as differential equations, numerical analysis, probability theory.
MTH 429 Introduction to the Theory of Numbers I
Credits: 3Semester(s): F
Prerequisites: MTH 419 with grade of C or higher
Corequisites: None
Type: LEC
The Euclidean algorithm and unique factorization; arithmetical functions; congruences, reduced residue systems; primitive roots; certain diophantine equations.
MTH 430 Introduction to the Theory of Numbers II
Credits: 3Semester(s): Sp
Prerequisites: MTH 429 with grade of C or higher
Corequisites: None
Type: LEC
Continuation of MTH 429. Irrational numbers; continued fractions from a geometric viewpoint; best rational approximations to real numbers; the Fermat-Pell equation; quadratic fields and integers. Applications to diophantine equations.
MTH 431 Introduction to Real Variables I
Credits: 4Semester(s): F Sp
Prerequisites: MTH 311 with grade of C or higher
Corequisites: None
Type: LEC/LAB
Comprehensive and rigorous course in the study of real valued functions of one real variable. Topics include sequences of numbers, limits and the Cauchy criterion, continuous functions, differentiation, inverse function theorem, Riemann integration, sequences and series, uniform convergence. A prerequisite for most advanced courses in analysis.
MTH 432 Introduction to Real Variables II
Credits: 4Semester(s): Sp
Prerequisites: MTH 431with grade of C or higher
Corequisites: None
Type: LEC/LAB
Rigorous course in analyzing dimensions greater than one. Includes details of three basic theorems: the inverse function theorem, the implicit function theorem, and the change of variables theorem in multiple integrals. Topics include continuously differentiable functions, the chain rule, inverse and implicit function theorems, Riemann integration, partitions of unity, change of variables theorem.
MTH 434 Basic Measure Theory
Credits: 3Semester(s): N/A
Prerequisites: MTH 431 with grade of C or higher or permission of instructor
Corequisites: None
Type: LEC/LAB
The real numbers, the extended numbers, sequences, limit superior and limit inferior, topology for the real numbers and continuity of functions. The Lebesgue outer measure, measurable sets and Lebesgue measure, nonmeasurable sets, measurable functions. Egoroff's Theorem and Lusin's Theorem. The Riemann integral, the Lebesgue integral and the convergence theorems. Differentiation of functions of bounded variation, absolute continuity. The Lp spaces.
MTH 435 Introduction to Cryptography
Credits: 3Semester(s): F
Prerequisites: MTH 419 or MTH 429 with grade of C or higher
Corequisites: None
Type: LEC
Explains the basics of cryptography, which is the systematic study of methods of concealing messages from people who are not authorized to read them. Topics include the following: cryptosystem definitions and basic types of attack; substitution ciphers. Hill ciphers; congruences and modular exponentiation; digital encryption standard; public key and RSA cryptosystems; pseudoprimes and primality testing; Pollard rho method; basic finite field theory; discrete log; and digital signatures.
MTH 437 Introduction to Numerical Analysis I
Credits: 4Semester(s): F
Prerequisites: CSE 113 or CSE 115; MTH 241, MTH 306, MTH 309 with grades of C or higher or permission of instructor
Corequisites: None
Type: LEC/LAB
First part of a 2-semester sequence which explores the design and implementation of numerical methods to solve the most common types of problem arising in science and engineering. Most such problems cannot be solved in terms of a closed analytical formula, but many can be handled with numerical methods learned in this course. Topics for the two semesters include: how a computer does arithmetic, solving systems of simultaneous linear or nonlinear equations, finding eigenvalues and eigenvectors of (large) matrices, minimizing a function of many variables, fitting smooth functions to data points (interpolation and regression), computing integrals, solving ordinary differential equations (initial and boundary value problems), and solving partial differential equations of elliptic, parabolic, and hyperbolic types. We study how and why numerical methods work, and also their errors and limitations. Students gain practical experience through course projects that entail writing computer programs.
MTH 443 Fundamentals of Applied Mathematics I
Credits: 4Semester(s): N/A
Prerequisites: MTH 306 with grade of C or higher
Corequisites: None
Type: LEC
Mathematical formulation and analysis of models for phenomena in the natural sciences. Includes derivation of relevant differential equations from conservation laws and constitutive relations. Potential topics include diffusion, stationary solutions, traveling waves, linear stability analysis, scaling and dimensional analysis, perturbation methods, variational and phase-space methods, kinematics, and laws of motion for continuous media. Examples from areas might include, but are not confined to, biology, fluid dynamics, elasticity, chemistry, astrophysics, geophysics.
MTH 455 Mathematical Modeling
Credits: 3Semester(s): N/A
Prerequisites: MTH 306, MTH 309 with grades of C or higher
Corequisites: None
Type: LEC
Introduces the use of mathematical modeling in applied mathematics using a case study approach. Population ecology; chemical kinetics; traffic dynamics.
MTH 456 The Mathematics of Voting
Credits: 3Semester(s): Sp
Prerequisites: Junior or senior standing
Corequisites: None
Type: LEC
Introduces the mathematical theory of voting - the systemic analysis of the ways to determine a choice of a group from the choices of individuals within a group - with applications to economics and politics. Examines voting procedures including the standard plurality vote, the antiplurality vote, the Borda count, Condorcets's method, and run-off elections. Provides an understanding of how different procedures effect group decisions. Uses convex geometry in the plane and in three spaces. Also discusses political power.
MTH 457 Problem Solving Seminar
Credits: 3Semester(s): N/A
Prerequisites: MTH 306, MTH 411 and some experience with specific programming; minimum grades of B in these courses
Corequisites: None
Type: LEC
Open discussion and solving of a series of quantitatively based problems involving both individual and student team efforts. Central to the active and cooperative learning experience is communicating results via carefully written technical reports and oral presentations. Analytic, geometric, and numerical problem solving techniques may all be used.
MTH 458 Mathematical Finance
Credits: 3Semester(s): N/A
Prerequisites: MTH 241, MTH 306, MTH 309 with grades of C or higher
Corequisites: None
Type: LEC
Introduces the mathematical theory and computation of modern financial products used in the banking and corporate world. Derives and analyzes mathematical models for the valuation of derivative products.
MTH 459 Mathematical Finance 2
Credits: 3Semester(s): N/A
Prerequisites: MTH 458 with grade of C or higher
Corequisites: None
Type: LEC
Describes the mathematical development of both the theoretical and the computational techniques used to analyze financial instruments. Specific topics include utility functions; forwards, futures, and swaps; and modeling of derivatives and rigorous mathematical analysis of the models, both theoretically and computationally. Develops, as needed, the required ideas from partial differential equations and numerical analysis.
MTH 460 Theory of Games
Credits: 4Semester(s): N/A
Prerequisites: MTH 241, MTH 309 with grades of C or higher or permission of instructor
Corequisites: None
Type: LEC/LAB
Introduces the mathematical theory of games--a systematic approach to modeling conflict, competition, cooperation, and negotiation--with applications to mathematics, economics, politics and evolutionary biology. A game, in mathematical terms, consists of a starting point and various choices made by 'players.' Each choice might lead to new choices or to an outcome that ends the game. Some choices might be random; some might be made without full information about what has transpired. The players are each trying to maximize their own payoff, but the play of each might influence the results of the others.
The approaches Game Theory uses to analyze conflict between two or more people lead to results that can seem paradoxical as well as illuminating. The most important thing a student can take from this course is a useful way of approaching decisions, from the trivial-- how does a couple decide which movie to see--to the critical--how should countries pursue their goals in cooperation or conflict with their allies and enemies. Partial list of topics: Prisoner's Dilemma, game trees, pure and mixed strategies, backward induction, normal form, Nash equilibrium, chance moves, utility functions, domination, convexity, payoff regions, strictly competitive games, separating hyperplanes, repeating games, and cooperative bargaining theory.
The approaches Game Theory uses to analyze conflict between two or more people lead to results that can seem paradoxical as well as illuminating. The most important thing a student can take from this course is a useful way of approaching decisions, from the trivial-- how does a couple decide which movie to see--to the critical--how should countries pursue their goals in cooperation or conflict with their allies and enemies. Partial list of topics: Prisoner's Dilemma, game trees, pure and mixed strategies, backward induction, normal form, Nash equilibrium, chance moves, utility functions, domination, convexity, payoff regions, strictly competitive games, separating hyperplanes, repeating games, and cooperative bargaining theory.
MTH 461 Topics in Algebra
Credits: 3Semester(s): N/A
Prerequisites: permission of instructor
Corequisites: None
Type: LEC
The content of this course is variable and therefore it is repeatable for credit. The University Grade Repeat Policy does not apply.
Treats problems, methods, and recent developments pertaining to a specific area of algebra. Topics courses can be taken more than once for credit.
MTH 462 Topics in Analysis
Credits: 3Semester(s): N/A
Prerequisites: permission of instructor
Corequisites: None
Type: LEC
The content of this course is variable and therefore it is repeatable for credit. The University Grade Repeat Policy does not apply.
Treats problems, methods, and recent developments pertaining to analysis. Topics courses can be taken more than once for credit.
MTH 463 Topics in Applied Mathematics
Credits: 3Semester(s): N/A
Prerequisites: permission of instructor
Corequisites: None
Type: LEC
The content of this course is variable and therefore it is repeatable for credit. The University Grade Repeat Policy does not apply.
Treats problems, methods, and recent developments pertaining applied mathematics. Topics courses can be taken more than once for credit.
MTH 464 Topics in Combinatorial Analysis
Credits: 3Semester(s): N/A
Prerequisites: permission of instructor
Corequisites: None
Type: LEC
The content of this course is variable and therefore it is repeatable for credit. The University Grade Repeat Policy does not apply.
Treats problems, methods, and recent developments pertaining combinatorial analysis. Topics courses can be taken more than once for credit.
MTH 465 Lectures in Geometry
Credits: 3Semester(s): N/A
Prerequisites: permission of instructor
Corequisites: None
Type: LEC
The content of this course is variable and therefore it is repeatable for credit. The University Grade Repeat Policy does not apply.
Provides a broader understanding of differential geometry. Comprehensively introduces the theory of curves and surfaces in space. Moves toward the goal of viewing surfaces as special concrete examples of differentiable manifolds, reached by studying surfaces using tools that are basic to studying manifolds. Topics include curves in 3-D space, differential forms, Frenet formulae, patch computations, curvature, isometries, intrinsic geometry of surfaces. Serves as an introduction to more advanced courses involving differentiable manifolds.
MTH 466 Topics in Logic and Set Theory
Credits: 3Semester(s): N/A
Prerequisites: permission of instructor
Corequisites: None
Type: LEC
The content of this course is variable and therefore it is repeatable for credit. The University Grade Repeat Policy does not apply.
Treats problems, methods, and recent developments pertaining logic and set theory. Topics courses can be taken more than once for credit.
MTH 467 Topics in Number Theory
Credits: 3Semester(s): N/A
Prerequisites: permission of instructor
Corequisites: None
Type: LEC
The content of this course is variable and therefore it is repeatable for credit. The University Grade Repeat Policy does not apply.
Treats problems, methods, and recent developments pertaining number theory. Topics courses can be taken more than once for credit.
MTH 468 Topics in Numerical Analysis
Credits: 3Semester(s): N/A
Prerequisites: permission of instructor
Corequisites: None
Type: LEC
The content of this course is variable and therefore it is repeatable for credit. The University Grade Repeat Policy does not apply.
Treats problems, methods, and recent developments pertaining numerical analysis. Topics courses can be taken more than once for credit.
MTH 469 Topics in Topology
Credits: 3Semester(s): N/A
Prerequisites: permission of instructor
Corequisites: None
Type: LEC
The content of this course is variable and therefore it is repeatable for credit. The University Grade Repeat Policy does not apply.
Treats problems, methods, and recent developments pertaining topology. Topics courses can be taken more than once for credit.
MTH 470 Topics in Mathematics
Credits: 3Semester(s): N/A
Prerequisites: variable ( set by instructor)
Corequisites: None
Type: LEC
Treats problems, methods, and recent developments in any area of mathematics that does not fit nearly or fully under the title of any other "Topics in..." course.
MTH 496 Internship in Mathematics
Credits: 1 - 4Semester(s): F Sp
Prerequisites: Accepted math major, junior/senior standing with a minimum of 24 credits in mathematics, permission of director of undergraduate studies
Corequisites: None
Type: TUT
Students get field experience in mathematical employment,in business, industry or education, working under the joint supervision of an off-campus supervisor and a university faculty member, usually the director of undergraduate studies. May be taken once only.
MTH 497 Honors Thesis in Mathematics
Credits: 4Semester(s): F Sp
Prerequisites: math major seeking honors degree in mathematics
Corequisites: None
Type: TUT
The content of this course is variable and therefore it is repeatable for credit. The University Grade Repeat Policy does not apply.
Open only to math majors intending to seek an honors degree in mathematics. For information, consult the director of undergraduate studies in the Department of Mathematics.
MTH 499 Independent Study
Credits: 1 - 4Semester(s): F Sp
Prerequisites: None
Corequisites: None
Type: TUT
The content of this course is variable and therefore it is repeatable for credit. The University Grade Repeat Policy does not apply.
Individual study arranged between student and faculty member in an area of mathematics of particular interest to the student.
Updated: May 2, 2008 3:40:47 PM