Programas de prevención

MATH 110 Quantitative Problem Solving 4 Cr.

(See paragraph on Placement.) 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 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. S/U grade only.

MATH 114 Precalculus 1-4 Cr.

(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 3 Cr.

(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. May be used to fulfill the Quantitative Analysis component of the General Education Requirements. Usually offered every spring semester. Prerequisite: MATH 110, or placement higher than MATH 110 on the math placement examination.

MATH 122 Applied Calculus 4 Cr.

(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. The course may be used to fulfill the Quantitative Analysis component of the General Education Requirements. Currently listed only for transfer credit equivalence. Students with credit for MATH 131 may not receive credit for this course.

MATH 124 Finite Mathematics 4 Cr.

(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, probability, counting methods, Markov chains, and game theory. May be used to fulfill the Quantitative Analysis component of the General Education Requirements. Prerequisite: MATH 110, or placement higher than MATH 110 on the math placement examination.

MATH 131 Calculus I 3+2, 4 Cr.

(See paragraph on Placement.) A first course in the calculus sequence. Topics include limits, continuity, differentiation, application of the derivative, The Intermediate Value Theorem, definite integrals and The Fundamental Theorem of Calculus, with transcendental functions throughout. May be used to fulfill the Quantitative Analysis component of the General Education Requirements. This course is not open to students with credit for MATH 122. Prerequisite: Grade of C- or higher in MATH 114, or placement of MATH 131 on the math placement examination.

MATH 132 Calculus II 3+2, 4 Cr.

A continuation of MATH 131. Topics include techniques of integration, applications of the definite integral, improper integrals, an introduction to differential equations, convergence of sequences and series, Taylor series, parametric equations, and polar coordinates. Prerequisite: Grade of C- or higher in MATH 131.

MATH 199 Mathematics Colloquium I 0 Cr.

Students attend and act as moderators for sessions of MATH 499, and begin participating in co-curricular mathematical activities, culminating in MATH 399. S/U grade only.

MATH 211 Laboratory in Elementary Mathematics I 0+1, 0 Cr.

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. S/U grade only. Usually offered every fall semester. Prerequisite: concurrent registration in MATH 213.

MATH 212 Laboratory in Elementary Mathematics II 0+1, 1 Cr.

A continuation of MATH 211. Topics correspond to those in MATH 214. S/U grade only. Prerequisite: concurrent registration in MATH 214.

MATH 213 Mathematics for Elementary Teachers I 4 Cr.

(See paragraph on Placement.) 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. Usually offered every fall semester. Prerequisite: MATH 110 or placement higher than MATH 110 on the math placement examination.

MATH 214 Mathematics for Elementary Teachers II 4 Cr.

A continuation of MATH 213. Topics include two-and three-dimensional geometry, measurement, functions, graphing, probability and statistics. Usually offered every spring semester. Prerequisite: MATH 213.

MATH 220 Discrete Mathematics 3 Cr.

(Also offered as ECE 357.) An introduction to mathematical reasoning, algorithm analysis, and the concepts that provide a mathematical foundation for computer science. Topics include a review of sets, relations, functions and matrices, logic, proof techniques including mathematical induction, counting techniques, difference equations, applications, and elementary analysis of iterative and recursive algorithms. Usually offered every spring semester. Prerequisite: MATH 131 (may be taken concurrently).

MATH 253 Calculus III 4 Cr.

A continuation of MATH 132. Topics include conic sections, vector algebra, space curves, calculus of functions of several variables, multiple integration, calculus of vector fields. Prerequisite: Grade of C- or better in MATH 132.

MATH 260 Linear Systems and Matrices 1 Cr.

Students will study properties of, and solutions to, linear equations and system of linear equations. Related topics include matrices, properties of matrices, matrix algebra, determinants, eigenvalues, real vectors in two and three dimensions, vector algebra (including dot and cross products), linear combinations, and linear independence. This class is not open to students with credit for MATH 264. Prerequisite: MATH 114.

MATH 264 Linear Algebra 3 Cr.

A study of linear algebra and an introduction to mathematical reasoning. Topics include systems of linear equations, matrices, determinants, vectors in n-space, abstract vector spaces, and linear transformations.

Usually offered every fall semester. Prerequisite: MATH 132 or 220.

MATH 266 Transitions in Mathematics 3 Cr.

In this class, students prepare to become professional mathematicians. Major course components are 1) a study of common proof techniques using linear algebra and number theory as foundations, and 2) an introduction to current professional practices such as the use of mathematical typesetting software, the use of computational software, finding and reading mathematical literature, and a survey of current issues in mathematics. Usually offered every spring semester. Prerequisite: MATH 264, or MATH 132 and consent of the department chair.

MATH 270 Ordinary Differential Equations 3 Cr.

Study of linear differential equations of a single variable, and their solutions (graphical, exact, and numerical), applications of ordinary differential equations, Laplace transforms, introduction to systems of linear differential equations, use of eigenvalues and eigenvectors in solving such systems. Prerequisites: Grade of C- or better in MATH 132, and either 260 or 264. (The latter may be taken concurrently.)

MATH 285 Practicum in Mathematics 0.5-3 Cr.

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

MATH 290 Topics in Mathematics 1-3 Cr.

Topics may include problem solving techniques, computer applications or topics from finite mathematics. Only offered when there is sufficient demand. Prerequisite: consent of the instructor.

MATH 299 Mathematics Colloquium II 0 Cr.

Students are required to attend sessions of MATH 499, evaluate student presentations, and continue participating in co-curricular mathematical activities, culminating in MATH 399. S/U grade. Prerequisite: MATH 199.

MATH 312 History of Mathematics 3 Cr.

Students will study the development of mathematics, usually through a survey of mathematics from earliest times to the present. Special topics may be chosen according to the interest of the class. Usually offered in the fall semester of even numbered years.

MATH 314 Elements of Geometry 3 Cr.

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. Usually offered in the fall semester of odd numbered years. Prerequisite: MATH 264 or MATH 266.

MATH 320/520 Dynamical Systems 3 Cr.

Theory and applications of mathematical models of dynamical systems (discrete and continuous). Topics include linear and non-linear equations, linear and non-linear systems of equations, bifurcation, chaos and fractals.

Offered in the fall semester of odd numbered years. Prerequisite: MATH 132.

MATH 321/521 Mathematical Models of Infectious Disease 3 Cr.

(Also offered as BIO 321.) An application of mathematical methods such as differential equations and elementary matrix algebra to the study of infectious diseases, and analyze outbreaks and control methods (such as vaccinations). Usually offered online during the summer. Prerequisite: MATH 131 and one of STAT 140, STAT 240, IDS 205, CE 202, ECE 365, or PSY 201.

MATH 322/522 Optimization 3 Cr.

Theory of, 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. Usually offered in the spring semester of even numbered years. Prerequisites: MATH 260 or 264.

MATH 323/523 Game Theory 3 Cr.

An introduction to the fundamentals of game theory, including dominance, Nash equilibria, and evolutionary stable solutions. Students will explore various models of strategic games, and apply them to economics, biology, and other disciplines. Usually offered in the summer. Prerequisites: MATH 131 and one of STAT 140, STAT 240, IDS 205, CE 202, ECE 365, or PSY 201.

MATH 330/530 Partial Differential Equations 3 Cr.

Theory of, and solution techniques for, partial differential equations of first and second order, including the heat equation and wave equation in rectangular, cylindrical, and spherical coordinates. Tools include Fourier series, Bessel Functions, Legendre Polynomials, and transform techniques. Usually offered in the spring semester of odd numbered years. Prerequisites: MATH 253 and 270.

MATH 334/534 Complex Variables 3 Cr.

A study of mathematics in the complex plane, including analytic functions, derivatives, power and Laurent series, integrals, residues, and conformal mapping, with applications to partial differential equations. Usually offered in the fall semester of even numbered years. Prerequisite: MATH 253.

MATH 370/570 Numerical Analysis 3 Cr.

Analysis and implementation numerical techniques such as polynomial interpolations, root finding, matrix solutions to systems of equations, numerical solutions to differential equations (the finite different method), and numerical integration, with an emphasis on theory and error analysis. Usually offered in the spring semester of even numbered years. Prerequisite: MATH 260 or 264.

MATH 371/571 Experimental Mathematics 3 Cr.

A study of the role of computation and experimentation in mathematical proof. Students will learn to write code in a mathematical programming language (e.g. Maple), and then apply programming skills to a variety of mathematical problems. Topics include enumeration, continued fractions, high precision computing, and numerical integration, among others. Students will also study famous proofs that integrate computation in nontrivial ways, and the current state of automated theorem proving/automated proof-checking software.

Usually offered in the spring semester of odd numbered years. Prerequisites: MATH 266 or consent of the instructor.

MATH 381 Cooperative Education in Mathematics 1-2 Cr.

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. S/U grade only. Prerequisite: MATH 265 or approval of the chair of the department.

MATH 399 Mathematics Colloquium III 1 Cr.

Students are required to attend sessions of MATH 499, and participate in activities related to mathematics that take place outside of the classroom. Examples include attending a mathematics conference, participating in service learning opportunities, or taking the national Putnam exam. Potential activities are assigned points, and students must attain a certain minimum number of points before the completion of this course to receive credit.

Prerequisite: MATH 299 and at least junior standing.

MATH 421 Combinatorics I 3 Cr.

Theory of combinatorics, including elementary counting techniques, the inclusion-exclusion principle, Ramsey theory, and an introduction to graph theory. Additional topics are introduced according to the interests of the students. Usually offered every third semester. Prerequisite: MATH 266.

MATH 422 Combinatorics II 3 Cr.

A continuation of MATH 421. Topics include generating functions and recurrence relations, Polya's theorem, matchings and coverings, and other topics based on the interests of the students. Usually offered every third semester. Prerequisite: MATH 421 or consent of the instructor.

MATH 451 Analysis I 3 Cr.

Properties of real numbers, theory of continuity, differentiation and integration of real valued functions of a real variable, sequences, series, and uniform convergence. Usually offered every third semester. Prerequisites: MATH 132 and 266.

MATH 452 Analysis II 3 Cr.

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. Usually offered every third semester. Prerequisites: MATH 253 and 451.

MATH 461 Abstract Algebra I 3 Cr.

A course in the theory of mathematical structures, i.e. groups, rings, and fields, along with substructures,

MATH 462 Abstract Algebra II 3 Cr.

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. Usually offered every third semester. Prerequisite: MATH 461.

MATH 489 The Teaching of Mathematics 3 Cr.

(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. Usually offered every spring semester.

MATH 490/590 Advanced Topics in Mathematics 1-3 Cr.

An advanced course for mathematics majors, topics will vary according to faculty and student interest. Only offered when there is sufficient demand. Prerequisites will depend on the content.

MATH 492 Research in Mathematics 0-3 Cr.

Students undertake a research problem in mathematics under the direction of a faculty member. Written and oral reports are required. S/U grade only. Prerequisite: Consent of the instructor or chair of the department.

MATH 495 Independent Study in Mathematics 1-3 Cr.

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 3 Cr.

See Honors Work, page 64.

MATH 498 Honors Candidacy in Mathematics 3 Cr.

See Honors Work, page 64.

MATH 499 Mathematics Colloquium IV 1 Cr.

Students explore, write about, and give presentations about a topic or topics chosen according to the interests of faculty and students. Guest speakers may be arranged in accordance with the topic or topics. Students design, implement, and run a regularly-scheduled departmental colloquium, to which all faculty and students are invited. Prerequisites: MATH 266 and 399.