98111 MATH 110A   Precalculus Mathematics Jan Rizzuti . T . Th . 2:30 -3:50 pm OLINLC 115 MATC

 98902 MATH 110B   Precalculus Mathematics Maria Belk M . W . . 3:00 – 4:20 pm RKC 111 MATC

A course for students who intend to take calculus and need to acquire the necessary skills in algebra and trigonometry. The concept of function is stressed, with particular attention given to linear, quadratic, general polynomial, trigonometric, exponential, and logarithmic functions. Graphing in the Cartesian plane and developing the trigonometric functions as circular functions are included.  Prerequisites: successful completion of Q exam.

 98110 MATH 136   Voting Theory John Cullinan M . W . . 3:00-4:20 pm RKC 101 MATC

Who should have won the 2000 Presidential Election?  Do any two senators really have equal power in passing legislation? How can marital assets be divided fairly? While these questions are of interest to many social scientists, a mathematical perspective can offer a quantitative analysis of issues like these and more. In this course, we will discuss the advantages and disadvantages of various types of voting systems and show that, in fact, any such system is flawed. We will also examine a quantitative definition of power and the principles behind fair division. Prerequisite: MATH 110 or the equivalent.

 98112 MATH 141 A  Calculus I Cliona Golden . T . Th . 9:00 - 10:20 am HEG 102 MATC

 98113 MATH 141 B  Calculus I James Belk M . W . . 6:30 – 7:50 pm RKC 101 MATC

 98114 MATH 141 C  Calculus I James Belk . T . Th . 2:30 -3:50 pm RKC 101 MATC

 98115 MATH 141 D  Calculus I Cliona Golden M . W . 9:00-10:20 am HEG 102 MATC

An introduction to the basic ideas of differentiation and integration in one variable. Topics include limits, techniques of differentiation, definite integrals, the fundamental theorem of calculus, and applications.  Prerequisite: Precalculus or the equivalent.

 98116 MATH 142 A   Calculus II Samuel Hsiao        Problem session: . T . Th .  . . . . F 10:30 - 11:50 am 10:30 – 11:30 am RKC 102 RKC 102 MATC

 98117 MATH 142 B Calculus II Lauren Rose          Problem session: M . W .  . . . . . F 1:30 -2:50 pm 1:30 -2:30 pm HEG 106 HEG 106 MATC

 98118 MATH 142 C  Calculus II Mary Krembs           Problem session: . T . Th  . . . . . F 9:00 - 10:20 am 12:30 –1:30 pm HEG 106 RKC 102 MATC

This course, a continuation of Calculus I, reinforces the fundamental ideas of the derivative and the definite integral.  Topics covered include L'Hopital's rule, integration techniques, improper integrals, volumes, arc length, sequences and series, power  series, continuous random variables, and separable differential equations.  Prerequisites:  Mathematics 141 or the equivalent.

 98121 MATH 211   Introduction to Differential Equations John Cullinan . T . Th . 9:00 - 10:20 am RKC 101 MATC

Cross-listed: Cognitive Science   This course is an introduction to ordinary differential equations. The course is organized around methods for solving ordinary differential equations, and incorporates many ideas from Calculus. Topics include the classification of differential equations, determining existence and uniqueness of ordinary differential equations, and solving first and second order differential equations using a variety of mathematical

tools such as integrating factors, Laplace transforms and power series. Prerequisite: Mathematics 141 and 142, or the equivalent.

 98119 MATH 212A   Calculus III John Cullinan M . W . . 9:00 - 10:20 am RKC 102 MATC

 98120 MATH 212 B  Calculus III Mary Krembs . . W . F 1:30 -2:50 pm RKC 101 MATC

This course investigates differentiation and integration of multivariable functions. Topics covered include vectors, coordinate systems, vector valued functions, partial derivatives, gradients, Lagrange multipliers, multiple integrals, change of variables, line integrals, Green’s theorem, and Stoke’s theorem.

Prerequisite: Mathematics 141 and 142 or the equivalent.

 98122 MATH 242   Linear Algebra with Applications Cliona Golden . T . Th . 1:00 -2:20 pm HEG 106 MATC

Cross-listed: Cognitive Science   This course will cover the basics of linear algebra in n-dimensional Euclidean space, including vectors, matrices, systems of linear equations, determinants, eigenvalues and eigenvectors, as well as applications of these concepts to the natural, physical and social sciences.  Equal time will be given to computational, applied, and theoretical aspects of the course material.  Prerequisite: Math 141-142 or permission of the instructor.

 98123 MATH 261   Proofs and Fundamentals Lauren Rose . T . Th . 10:30 - 11:50 am HEG 106 MATC

This course introduces students to the methodology of mathematical proof. The logic of compound and quantified statements, mathematical induction, and basic set theory including functions and cardinality are covered. Topics from foundational mathematics are developed to provide students with an opportunity to apply proof techniques.  Prerequisite: Mathematics 141 and 142, or permission of instructor.

 98515 MATH 299   Problem Solving Seminar Lauren Rose M.  . .  . 6:00- 7:30 pm Kline MATC

2 credits  This course introduces problem solving techniques used throughout the mathematics curriculum. The course focuses on solving difficult problems stated in terms of elementary combinatorics, geometry, algebra, and calculus. Each class combines a lecture describing the common tricks and techniques used in a particular field, together with a problem session where the students work together using those techniques to tackle some particularly challenging problems. Students may find this class helpful in preparing for the Putnam Exam, a national college mathematics competition given in early December.  Prerequisites:  Any 200-level mathematics course or permission of the instructor.

 98513 MATH 317   Graph Theory Maria Belk . T . Th . 10:30 - 11:50 am RKC 101 MATC

Graph theory is a branch of mathematics that has applications in areas ranging from operations research to biology.  This course is a survey of the theory and applications of graphs. Topics will be chosen from among connectivity, trees, Hamiltonian and Eulerian paths and cycles; isomorphism and reconstructability; planarity, coloring, color-critical graphs and the four-color theorem; intersection graphs, vertex and edge domination; matchings and network flows, matroids and their relationship with optimization, and random graphs.  Several applications of graph theory will be discussed in depth.

Prerequisites:  Math 231 or permission of the instructor.

 98512 MATH 323   Dynamical Systems James Belk M . W . . 3:00-4:20 pm HEG 106 MATC

An introduction to the theory of discrete dynamical systems.  Topics to be covered include iterated functions, bifurcations, chaos, fractals and fractal dimension, complex functions, Julia sets, and the Mandelbrot set.  We will make extensive use of computers to model the behavior of dynamical systems.  Prerequisite: Mathematics 261 or permission of the instructor.

 98124 MATH 361   Real Analysis Sam Hsiao . T . Th . 2:30 – 3:50 pm HEG 106 MATC

The fundamental ideas of analysis in one-dimensional Euclidean space are studied. Topics covered include the completeness of the real numbers, sequences, Cauchy sequences, continuity, uniform continuity, the derivative, and the Riemann integral. As time permits other topics may be considered, such as infinite series of functions or metric spaces.  Prerequisite: Mathematics 261 or permission of the instructor.

 98126 MATH 433   Advanced Linear Algebra Greg Landweber . . . . F 1:00 – 3:30 pm ALBEE 106 MATC

This course covers the rigorous theory of abstract vector spaces over arbitrary fields. It will start with a discussion of dual spaces, direct sums, tensor products, spaces of homomorphisms and endomorphisms, inner product spaces, and quadratic forms. It will then move on to multilinear algebra, discussing symmetric and exterior powers, before turning to the Jordan canonical form and related topics. Other more advanced topics include Hilbert spaces, elementary functional analysis, modules, algebras, symplectic linear algebra, supersymmetry, and K-theory. Prerequisites: Math 261 and

Math 332.