CRN

90167

Course No.

MATH 106

Title

Mathematics and Politics

Professor

Mark Halsey

Schedule

Wed Fr 11:30 am - 12:50 pm HEG 102

Distribution

E Q Course

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 modeling 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.

CRN

90680

Course No.

MATH 110

Title

Precalculus Mathematics

Professor

Robert Vivona

Schedule

Wed Fr 8:30 am - 9:50 am HEG 201

Distribution

E Q Course

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.

CRN

90203

Course No.

MATH 111 A

Title

Calculus of One Variable

Professor

Lauren Rose

Schedule

Mon Wed 1:30 pm -3:20 pm HEG 106

Distribution

E/G Q Course

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.

CRN

90204

Course No.

MATH 111 B

Title

Calculus of One Variable

Professor

Ethan Bloch

Schedule

Tu Th 3:00 pm -4:50 pm HEG 106

Distribution

E/G Q Course

See description above.

CRN

90205

Course No.

MATH 114

Title

Multivariable Calculus

Professor

Mark Halsey

Schedule

Wed Fr 8:30 am - 10:20 am HEG 102

Distribution

E/G Q Course

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.

CRN

90206

Course No.

MATH 131

Title

Exploration in Number Theory

Professor

Lauren Rose

Schedule

Tu Th 1:30 pm -2:50 pm HEG 106

Distribution

E/G Q Course

This course will provide an overview of one of the oldest and most beautiful areas of mathematics. It is ideal for any student who wants a taste of mathematics outside of the calculus sequence. Topics may include: number puzzles, prime numbers, congruences, quadratic reciprocity, sums of squares, Diophantine equations, cryptography, coding theory, and continued fractions.

Prerequisite: precalculus or permission of the instructor.

CRN

90207

Course No.

MATH 222

Title

Introduction to Dynamical Systems

Professor

Ranny Bledsoe

Schedule

Mon Wed 4:30 pm -5:50 pm HEG 106

Distribution

E/G Q Course

An introduction to the theory of dynamical systems, with a focus on applications. Topics to be covered include linear and nonlinear systems, stability, chaos, and fractals. We will also use the computer to model simple dynamical systems. Prerequisites: Math 111, Math 114, and Math 211.

CRN

90208

Course No.

MATH 231

Title

Proofs and Fundamentals

Professor

Ethan Bloch

Schedule

Tu Th 1:30 pm -2:50 pm HEG 201

Distribution

E Q Course

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.

CRN

90209

Course No.

MATH 332

Title

Abstract Algebra

Professor

Mark Halsey

Schedule

Tu Th 10:00 am - 11:20 am HEG B10

Distribution

E Q Course

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 331 or permission of the instructor.

CRN

90397

Course No.

MATH 451

Title

Advanced Topics in Topology

Professor

Ethan Bloch

Schedule

Mon Wed 1:30 pm -2:50 pm HEG B10

Distribution

E Q Course

This course will cover a selection of topics from algebraic, geometric and/or differential topology, depending upon student interest and background. Possible topics include the fundamental group, covering spaces, simplicial homology, classification of compact connected surfaces, topological and smooth manifolds, critical points of smooth maps, vector fields. Prerequisite: Mathematics 351 or permission of the instructor.