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Mathematics Courses

100-Level Courses
200-Level Courses
300-Level Courses
400-Level Courses

MATH 110. Quantitative Problem Solving.

2+2, Cr. 3. A course to assist students in developing fundamental mathematical concepts and processes. Emphasis placed on problem solving, reasoning, communication, and mathematical connections. Students recommended for this course should take it prior to enrolling in courses with quantitative content. This course is offered for S/U grade only and may not be used to fulfill the General Education Requirement in the College of Arts and Sciences nor be counted toward a major or minor in mathematics. This course may not be taken by a student with credit for any other mathematics course.

MATH 114. Precalculus.

Cr. 1-4. (See paragraph on Placement.) A course for students who plan to take a calculus sequence. Topics may include sets and numbers, relations and functions, trigonometric functions, exponential and logarithmic functions. This course may not be used to fulfill the General Education Requirement in the College of Arts and Sciences nor be counted toward a major or minor in mathematics. Prerequisite: MATH 110 or placement higher than MATH 110 on the math placement examination.

MATH 120. Mathematical Ideas.

Cr. 4. (See paragraph on Placement.) A one-semester course intended primarily for students majoring in the humanities. The relationship between mathematics and modern society is studied. Emphasis is placed on the development of mathematical concepts. Prerequisite: MATH 110 or placement higher than MATH 110 on the math placement examination.

MATH 122. Intuitive Calculus of One or More Variables.

Cr. 4. (See paragraph on Placement.) A course for students with a good foundation in mathematics who are interested in mathematical models for the life, management or social sciences. Topics include limits, continuity, derivatives and their applications, integrals and their applications and selected topics in multivariate calculus. Not open to students with credit for MATH 131 or 151. Prerequisite: MATH 114 or placement of MATH 122, 131, or 151 on the math placement examination.

MATH 124. Finite Mathematics.

Cr. 4. (See paragraph on Placement.) A course for students with a good foundation in mathematics who are interested in mathematical models for the life, management or social sciences. Topics include matrix algebra, linear programming, finite probability, sequences, and mathematics of finance. Prerequisite: MATH 110 or placement higher than MATH 110 on the math placement examination.

MATH 131. Analytic Geometry and Calculus I.

3+2, Cr. 4. (See paragraph on Placement.) A first course in the calculus sequence designed for students who plan to major in mathematics, engineering or a physical science. Topics include limits, continuity, differentiation, application of the derivative, The Intermediate Value Theorem, definite integrals and The Fundamental Theorem of Calculas. Not open to students with credit for MATH 122 or 151. Prerequisite: MATH 114 or placement of MATH 131 or 151 on the math placement examination.

MATH 132. Analytic Geometry and Calculus II.

3+2, Cr. 4. A continuation of MATH 131. Topics include techniques of integration; applications of the definite integral; improper integrals, convergence of sequences and series, Taylor series, and calculus of transcendental functions. Prerequisite: MATH 131 or 151. Not open to students with credit for MATH 152.

MATH 140. General Statistics

Cr. 3. (See paragraph on placement.) A non-calculus based introduction to the major concepts and tools for collecting, organizing, analyzing and drawing conclusions from data. Students re exposed to four broad conceptual themes; exploring data, planning a study, anticipating patterns, and statistical inference. Offered only for AP credit in statistics with a score of 4 or higher.

MATH 151. Calculus I - Honors

3+2, Cr. 4. (See paragraph on Placement.) A first course in the calculus sequence designed for students interested in an intensified calculus course with exceptional preparation in algebra and trigonometry. Topics include those of MATH 131, with a stronger emphasis on theory and on techniques of mathematical proof. Not open to students with credit for MATH 122 or 131. Prerequisite: placement of MATH 151 on the math placement examination; or MATH 114 and consent of instructor.

MATH 152. Calculus II - Honors

3+2, Cr. 4. A continuation of MATH 151. Topics include those of MATH 132, with a stronger emphasis on theory and on techniques of mathematical proof. Not open to students with credit for MATH 132. Prerequisite: MATH 151 or consent of the instructor.

MATH 168. Discrete Structures I

Cr. 3. An introduction to mathematical reasoning algorithm analysis and the concepts that provide a mathematical foundation for computer science. Topics include logic; sets; functions; order notation; proof techniques, including mathematical induction; elementary counting techniques; iterative and recursive algorithms; elementary complexity analysis and applications. Prerequisite: CS 157; corequisite: MATH 122 or 131 or 151.

MATH 199. Mathematics Colloquium I.

Cr. 0. All freshmen mathematics majors must register for this course in both the fall and the spring semesters. Students are required to attend sessions of MATH 499 and participate in the activities and discussions of the colloquium. S/U grade.

MATH 211. Laboratory in Elementary Mathematics I.

0+1, Cr. 0. This course is designed to provide an opportunity for prospective elementary teachers to learn mathematical concepts in an active, materials-oriented context and to acquaint them with materials appropriate for use in the elementary school. Topics correspond to those in MATH 213. . Enrollment is restricted to students majoring in elementary education. Prerequisite: concurrent registration in MATH 213. S/U grade.

MATH 212. Laboratory in Elementary Mathematics II.

0+1, Cr. 1. A continuation of MATH 211. Topics correspond to those in MATH 214. Prerequisite: concurrent registration in MATH 214. S/U grade.

MATH 213. Mathematics for Elementary Teachers I.

Cr. 4. This course is restricted to students majoring in elementary education. Topics include elementary logic, sets, problem solving, numeration systems, the whole number system, the rational number system and elementary number theory. Prerequisite: MATH 110 or placement higher than MATH 110 on the math placement examination.

MATH 214. Mathematics for Elementary Teachers II.

Cr. 4. A continuation of MATH 213. Topics include two-and three-dimensional geometry, measurement, functions, graphing, probability and statistics. Prerequisite: Mathematics 213.

MATH 234. Differential Equations and Linear Algebra.

Cr. 4. Elementary and linear differential equations, applications of differential equations, matrices and systems of linear equations, eigenvalues and eigenvectors, introduction to systems of linear differential equations. Prerequisite: MATH 132 or 152.

MATH 240. Statistical Analysis.

Cr. 3-4. An introduction to concepts that provide a mathematical foundation for probability and statistics. Topics include probability, empirical and theoretical frequency distributions, sampling, correlation and regression, testing hypotheses, estimation of parameters. Emphasis is placed on illustrations and applications of these techniques. Prerequisites: MATH (124 and 122) or 132 or 152.

MATH 253. Calculus III.

Cr. 4. A continuation of MATH 132 or 152. Topics include conic sections, vector algebra, space curves, calculus of functions of several variables, multiple integration, calculus of vector fields. Prerequisite: MATH 132 or 152.

MATH 260. Foundations of Advanced Mathematics.

Cr. 3. An introduction to the type of mathematical reasoning and subject matter which will be encountered in advanced mathematics. Topics include basic logic, set theory, relations and functions, and infinite sets. Prerequisite: MATH (122 and 124) or 132 or 152 or the equivalent.

MATH 264. Linear Algebra I.

Cr. 3. The purpose of this course is twofold: to introduce students to mathematical reasoning and to explore topics in linear algebra. By studying the mathematical vocabulary and the logical structure of the foundation of linear algebra, students learn the fundamental logic of deductive and inductive reasoning; encounter and construct proofs of elementary theorems using direct, indirect, existence and inductive arguments; and understand the role of mathematical definitions and counter examples. Topics in linear algebra include systems of linear equations, matrices, determinants, vectors in n-space, abstract vector spaces, and linear transformations. Prerequisite: MATH 132 or 152 or 168.

MATH 265. Linear Algebra II with Differential Equations.

Cr. 3. A continuation of MATH 264. Linear algebra topics include further study of linear transformations, eigenvalues, and eigenvectors. Topics from differential equations include first-order differential equations, linear differential equations, systems of differential equations, and phase plane analysis. Prerequisite: MATH 132 (or MATH 152) and MATH 264.

MATH 269. Discrete Structures II.

Cr. 3. A continuation of MATH 168. Topics include relations; matrices; recurrence equations; basic discrete probability; elementary graphs and trees; additional complexity analysis (worst and average) and finite state automata. Prerequisites: MATH 168 and CS 158.

MATH 285. Practicum in Mathematics.

Cr. 0.5-3. Intensive professional experience and/or technical training in a mathematics related field. A written reort is required. S/U grade. Prerequisite: MATH 264 and consent of the chair.

MATH 290. Topics in Mathematics.

Cr. 1-3. Topics may include problem solving techniques, computer applications or topics from finite mathematics. Prerequisite: consent of the instructor.

MATH 299. Mathematics Colloquium II.

Cr. 0. All sophomore mathematics majors must register for this course in both the fall and spring semesters. Students are required to attend sessions of MATH 499 and participate in the activities and discussions of the colloquium. S/U grade. Prerequisite: MATH 199.

MATH 312. History of Mathematics.

Cr. 3. A study of the development of mathematics. This will usually be a survey of mathematics from earliest times to the present, though special topics may be chosen according to the interest of the class. Prerequisite: consent of the instructor. Offered upon sufficient demand.

MATH 314. Elements of Geometry.

Cr. 4. Logic, axiom systems and models; consistency, independence and completeness; consideration of the foundations of Euclidean and non-Euclidean geometries; topics from projective and transformational geometries. Prerequisite: MATH 264.

MATH 320. Mathematical Models in the Life and Social Sciences.

Cr. 3. A course on the theory behind, and design and solution of, mathematical models. Theory includes discrete and continuous models, steady state and transient models, deterministic and stochastic models, modeling by differential and difference equations, Markov chains, game theory, and curve fitting. Applications are drawn mostly from the life and environmental sciences, and include compartment models, population models, ecological models, and hydrologic models. Prerequisite: MATH 132 or 152. Offered in alternate years.

MATH 322. Optimization.

Cr. 3. Theory and computer algorithms for the solution of mathematical programming problems and applications. Topics include the simplex method, cutting planes, branch and bound methods and numerical methods for unconstrained optimization, game theory and dynamic programming. Prerequisites: MATH 234 or 264. Offered in alternate years.

MATH 340. Statistics for Decision Making.

Cr. 3. (Also offered as IDS 340.) A study of statistical concepts and methods to facilitate decision making. Content includes analysis of variance, simple and multiple regression, correlation, time-series analysis, and nonparametric methods. Prerequisite: MATH 240 or IDS 205 or CE 202 or completion of or concurrent registration in ECE 465.

MATH 341. Probability.

Cr. 3. A course in probability with some topics applicable to statistics. Topics include probability spaces, random variables, classical discrete and continuous probability distributions. Prerequisites: MATH 132 and 240, or 152 and 240.

MATH 342. Mathematical Statistics.

Cr. 3. This course continues the study of probability and covers statistics based on the background of MATH 341. Topics include multivariate probability distributions with an introduction to multivariable calculus, joint and conditional distributions, Central Limit Theorem, covariance, moments, estimation, tests of hypotheses, and sampling theory. Prerequisite: MATH 341. Offered upon sufficient demand.

MATH 344. Applied Probability and Statistical Decision Theory.

Cr. 3. A survey of probabilistic models used in decision theory. Topics include stochastic processes, queuing theory, forecasting, Bayesian decision theory, reliability, and simulation. Prerequisites: MATH 240 or IDS 205. Offered in alternate years.

MATH 350. Differential Equations.

Cr. 3. Elementary and linear differential equations, systems of equations, series solutions including the method of Frobenius, LaPlace transforms, applications. Prerequisites: MATH 253 and (234 or 264).

MATH 370. Numerical Methods.

Cr. 3. (Also offered as CS 370). The analysis and implementation of basic numerical techniques: matrix methods for the solution of systems of equations, interpolating polynomials, finite differences, numerical differentiation and integration, numerical solution of differential equations, zeros of nonlinear equations and error analysis. Students are expected to solve problems using a digital computer. Prerequisites: CS 157 or its equivalent and one of the following: MATH 234 and 253; 265; or 350.

MATH 381. Cooperative Education in Mathematics I.

Cr. 1-2. The application of mathematical concepts in a professional setting. Grade based on employer's evaluation and student's written and oral reports. May be repeated for additional credit. Prerequisites: MATH 265 or approval of the Chair of the Department. S/U grade.

MATH 399. Mathematics Colloquium III

Cr. 0. All junior mathematics majors must register for this course in both the fall and spring semesters. Students are required to attend sessions of MATH 499 and to participate in the activities and discussions of the colloquium. Prerequisite: MATH 299. S/U grade.

MATH 421. Combinatorics I.

Cr. 3. Theory of combinatorics, including elementary counting techniques, generating functions, Polya's Theorem, and an introduction to graph theory. A variety of applications are discussed depending on the interests of the students. Prerequisite: MATH 264.

MATH 422. Combinatorics II.

Cr. 3. A continuation of MATH 421, with topics selected from Ramsey Theory, coding theory, algorithmic graph theory and network theory. Prerequisite: MATH 421 or consent of the instructor.

MATH 430. Fourier Series and Boundary Value Problems.

Cr. 3-4. Fourier representation of functions. Generalized orthogonal sets of functions including Bessel Functions and Legendre polynomials. Fourier, Fast Fourier, and LaPlace transforms. An introduction to distributions. A variety of applications depending on the interests of the students. Prerequisites: MATH 253 and (234 or 265).

MATH 434. Introduction to Complex Variables.

Cr. 3. Analytic functions, derivatives, power and Laurent series, integrals, residues, conformal mapping, applications to partial differential equations. Prerequisite: MATH 253 and (234 or 264). Offered upon sufficient demand.

MATH 451. Analysis I.

Cr. 3. Properties of real numbers; theory of continuity, differentiation and integration of real-valued functions of a real variable; sequences, series, and uniform convergence. Prerequisites: MATH 152 and 264.

MATH 452. Analysis II.

Cr. 3. Theory of continuity and differentiation of real and vector-valued multi-variable functions; multiple integration and the Jacobian; implicit and inverse function theorems; topology of real n-space. Prerequisites: MATH 253 and 451.

MATH 461. Abstract Algebra I.

Cr. 3. A study of mathematical structures: groups, rings, and fields. Properties of groups; substructures, quotient structures, and homomorphisms. Prerequisite: MATH 264.

MATH 462. Abstract Algebra II.

Cr. 3. A continuation of MATH 461. Topics may include a more detailed study of rings, polynomial rings, field extensions, field automorphisms, an introduction to Galois theory, further work in group theory, an introduction to additional structures. Prerequisite: MATH 461. Offered upon sufficient demand.

MATH 489. The Teaching of Mathematics.

Cr. 3. (See ED 489.) A study of the methods of teaching mathematics in secondary schools. A field component is required. Prerequisite: admission to Teacher Education. This course may not be counted toward a major or minor in Mathematics.

MATH 491. Advanced Topics in Mathematics.

Cr. 1-3. An advanced course for mathematics majors. The topic studied, which may change from year to year, is ordinarily one of the following: number theory, advanced abstract algebra, differential geometry, partial differential equations, measure and integration or functional analysis. Prerequisite: consent of the Chair of the Department. Specific course requirements depend on the content. Offered upon sufficient demand.

MATH 492. Research in Mathematics.

Cr. 1-3. Each student must undertake a research problem in mathematics under the direction of a faculty member. Written and oral reports are required. Prerequisite: consent of the Chair of the Department. S/U grade.

MATH 493. Seminar in Applied Statistics.

Cr. 3. (Also offered as ECON 493 and as IDS 493.) An intensive study of selected topics, methods, techniques, and problems in applied statistics. Prerequisite: MATH 340 or IDS 340 or ECON 325.

MATH 495. Independent Study in Mathematics.

Cr. 1-3. Students study advanced topics in mathematics under the supervision of a faculty member. Written work is required. Prerequisite: consent of the Chair of the Department.

MATH 497. Honors Work in Mathematics.

Cr. 3. See Honors Work, page 54.

MATH 498. Honors Candidacy in Mathematics.

Cr. 3. See Honors Work, page 54.

MATH 499. Mathematics Colloquium IV.

Cr. 1. Student presentation of selected topics in mathematics arising from the mathematical literature. Students are required to register for this course during one semester of their senior year and are encouraged to do so during the other semester. Prerequisite: MATH 399.