MATH 102 The Mathematics of Chance

Professor: M. Halsey

CRN: 92334

Distribution: E/Q

Time: Tu Th 9:00 am - 10:20 am HEG 102

In this course, we will choose serious applications of probability and statistics and make these the focus of the course. Concepts in probability and statistics will only be developed to the extent necessary to understand the applications. Most topics will be introduced in a case study fashion, usually by reading an article in a current periodical such as the New York Times. From there other accounts of a topic will be read in journals such as: Chance, Science, Nature, and Scientific American. The primary reading will be supplemented by readings on basic probability and statistics ideas relating to the topics we cover. The goal is to make you better able to make critical judgments and come to your own conclusions about current issues involving chance. Prerequisite: eligibility for Q courses.


MATH 107 Topics in Geometrical Mathematics

Professor: E. Bloch

CRN: 92661

Distribution: E/Q

Time: M W 10:30 am - 11:50 am LC 115

Geometrical thinking in mathematics involves many topics other than the traditional Euclidean geometry taught in schools. This course will explore various such topics. Areas covered will vary from semester to semester, and may include some (but not all) of the following: symmetry, groups, frieze and wallpaper patterns, graphs, surfaces, knots, higher dimensions. There is no particular mathematical prerequisite for this course beyond eligibility for Q courses, though a willingness to explore new ideas and construct convincing arguments is a necessity. Prerequisite: eligibility for Q courses.


MATH 110 Precalculus Mathematics

Professor: L. Rose

CRN: 92335

Distribution: E/Q

Time: M 10:30 pm - 11:50 pm LC 208
W 10:30 am - 11:50 am LC 118

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 111 A Calculus of One Variable

Professor: L. Rose

CRN: 92336

Distribution: E/Q

Time: M Th 2:50 pm - 4:40 pm LC 115

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.


MATH 111 B Calculus of One Variable

Professor: E. Bloch

CRN: 92971

Distribution: E/Q

Time: Tu Th 2:50 pm - 4:40 pm HEG 106

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.


MATH 114 Multivariable Calculus

Professor: M. Halsey

CRN: 92337

Distribution: E/Q

Time: W F 8:30 am - 10:20 am HEG 201

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.


MATH 231 Proofs and Fundamentals

Professor: E. Bloch

CRN: 92339

Distribution: E/Q

Time: M W 1:20 pm - 2:40 pm 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 331 Linear Algebra

Professor: M. Halsey

CRN: 92340

Distribution: n/a

Time: Tu Th 10:30 am - 11:50 am HEG B10

This course gives an introduction to the theory of abstract vector spaces. The concept of a vector space is often useful when studying physical phenomena. Topics covered will include linear independence and dependence, bases and dimension, linear transformations, eigenvalues, eigenvectors, diagonalization, inner product spaces, and orthogonality. Prerequisites: Mathematics 231 or permission of the instructor.