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 course, satisfactory performance on precalculus entrance exam.

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: background in precalculus mathematics.

This course will start with a review of definite integration and introduce several important techniques of integration. Several applications of the definite integral will be discussed. To begin the study of multivariable calculus we will discuss the basic geometry of vectors in two and three dimensional Euclidean space. From there the topics covered will include: graphs of multivariable functions including contour maps, partial differentiation and the gradient, the chain rule, multiple integration, and change of variables. Prerequisite: Mathematics 111 or permission of the instructor.

In the twentieth century, the theory of games gained prominence for its application to the social sciences. Game theory is a mathematical approach to modeling situations of conflict whether real of theoretical. This course will introduce the student to this exciting area of mathematics. Using algebra and some analytical geometry, students will be able to explore the mathematical foundations of game theory. At the same time students will encounter a wide range of applications of the theory of games. Topics covered will be chosen from: zero sum games, nonzero sum games, pure and mixed strategies, von Neumann's Minimax Theorem, Nash equilibria, and cooperative games.

Prerequisities: Precalculus or permission of the instructor.

This course will examine the field of discrete mathematics, especially the areas of importance in computer science, such as algorithms, combinatorics, statistics, and graph theory. These areas generally have large but finite classes of solutions that can be found by developing, modifying, and applying algorithms to find optimal solutions. Weekly programming assignments will explore specific examples of each major topic covered in class, so ability to program in some language will be assumed. Prerequisites : (CMSC 141) and (CMSC 142) or permission of instructor.

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 111 or

permission of the instructor.

An introduction to modern abstract algebraic systems. The structures of groups, rings, and fields are studied together with the homomorphisms of these objects. Topics include equivalence relations, finite groups, group actions, integral domains, polynomial rings, and finite fields.

Prerequisite: Mathematics 231 or permission of the instructor.

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