MATH 105 Introduction to Discrete Mathematics

Professor: R. Goldstone

CRN: 11456

Distribution: E/Q

Time: W 10:30 am - 11:50 am HEG 201
M 10:30 am - 11:50 am OLIN 205

Many contemporary applications of mathematics involve discrete models; one reason for this is the integration of computers into our society. This course introduces students to the methodology of discrete mathematics and demonstrates the usefulness of discrete models. Topics may include basic set theory, graphs, trees, matchings, network flows, and counting techniques. Prerequisite: eligibility for Q courses.

MATH 106 Mathematics and Politics

Professor: M. Halsey

CRN: 11457

Distribution: E/Q

Time: M W 1:20 pm - 2:40 pm HEG 106

This course considers applications of mathematics to political science. Five major topics will be covered: a model of escalatory behavior, game-theoretic models of international conflict, yes-no voting systems, political power, and social choice. For each model presented, the implications of the model as well as the limitations of the model will be discussed. Students will be actively involved in the modelling process. There is no particular mathematical prerequisite for this course though we will do some algebraic computations from time to time and discuss deductive proofs of some of the main results. Prerequisite: eligibility for Q courses.

MATH 110 Precalculus Mathematics

Professor: R. Goldstone

CRN: 11458

Distribution: E/Q

Time: Tu Th 1:20 pm - 2:40 pm HEG 106

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. This class makes extensive use of the TI-82 graphing calculator. Prerequisites: eligibility for Q courses, satisfactory performance on precalculus entrance exam.

MATH 114 Multivariable Calculus

Professor: M. Halsey

CRN: 11459

Distribution: E/Q

Time: M W 8:30 am - 10:20 am HEG 102

This course will introduce students to linear algebra and calculus in n-dimensional Euclidean space. Topics include: vectors, matrices, linear equations, partial differentiation, and multiple integrals. Prerequisite: Mathematics 111 or equivalent.

MATH 231 Proofs and Fundamentals

Professor: E. Bloch

CRN: 11460

Distribution: E/Q

Time: Tu Th 9:00 am - 10:20 am HEG 106

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. Prerequisites: permission of the instructor.

MATH 273 Applied Mathematics for Experimental Scientists

Professor: M. Deady

CRN: 11461

Distribution: E/Q

Time: W F 9:00 am - 10:20 am ROSE 108

This course will focus on mathematical methods used in designing and analyzing the results from experiments in the sciences, particularly biology and chemistry. Among the topics covered will be elementary probability and statistics, fitting and hypothesis testing, characteristics of frequency distributions, regression analysis, and propagation of uncertainties. Prerequisite: Mathematics 111 or equivalent.

MATH 351 Point Set Topology

Professor: R. Goldstone

CRN: 11463

Distribution: E

Time: M W 2:50 pm - 4:10 pm HEG B14

An introduction to point set topology. Topics include metric spaces, compactness, connnectedness, continuity, homeomorphisms, separation criteria, and possibly the fundamental group. Prerequisite: Mathematics 231 or permission of the instructor.