MATHEMATICS

CRN	90104	Distribution	E
Course No.	MATH 107 Q Course
Title	Topics in Geometry
Professor	Ethan Bloch
Schedule	Tu Th 1:30 pm - 2:50 pm HEG 201

Geometrical mathematics involves many topics other than traditional Euclidean geometry. This course explores various topics from semester to semester and may include some, but not all of the following: symmetry, groups, frieze and wallpaper patterns, graphs, surfaces, knots, and higher dimensions. Prerequisite: eligibility for Q courses and a willingness to explore new ideas and construct convincing arguments is a necessity.

CRN	90105	Distribution	E
Course No.	MATH 110 Q Course
Title	Precalculus Mathematics
Professor	Robert Vivona
Schedule	Mon Th 3:00 pm - 4:30 pm LC 115

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	90106	Distribution	E/G
Course No.	MATH 111 A Q Course
Title	Calculus of One Variable
Professor	Ethan Bloch
Schedule	Mon Wed 1:30 pm - 3:20 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.

CRN	90107	Distribution	E/G
Course No.	MATH 111 B Q Course
Title	Calculus of One Variable
Professor	Ethan Bloch
Schedule	Tu Th 3:00 pm - 4:50 pm HEG 106

see above

CRN	90108	Distribution	E/G
Course No.	MATH 114 Q Course
Title	Multivariable Calculus
Professor	Mark Halsey
Schedule	Mon Wed 8:30 am - 10:20 am HEG 102

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	90109	Distribution	E/G
Course No.	MATH 131 Q Course
Title	Exploration in Number Theory
Professor	Lauren Rose
Schedule	Tu Th 1:30 pm - 2:50 pm HEG 106

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	90110	Distribution	E/G
Course No.	MATH 211 Q Course
Title	Ordinary Differential Equations
Professor	Matthew Deady
Schedule	Mon Wed Fri 8:30 am - 9:50 am ROSE 108

This course is both an introduction to ordinary differential equations as well as the final course in our three-semester Calculus sequence. The course is organized around methods for solving ordinary differential equations, and incorporates ideas from Calculus as needed (such as sequences and series). Topics include first and second order differential equations, Laplace transforms and series solutions.

CRN	90111	Distribution	E
Course No.	MATH 231 Q Course
Title	Proofs & Fundamentals
Professor	Lauren Rose
Schedule	Mon Wed 1:30 pm - 2:50 pm HEG 201

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.

CRN	90461	Distribution	E
Course No.	MATH 235
Title	Discrete Math
Professor	Lauren Rose
Schedule	Mon 11:30 am - 12:50 OLIN 301 Wed 11:30 am - 12:50 pm HEG 106

This course will examine the field of discrete mathematics, especially the areas of importance in computer science, such as algorithms, combinatorics, probability, and graph theory. Equal time will be given to theory, computation, and applications. Prerequisites: Math 111 or permission of instructor.

CRN	90112	Distribution	E
Course No.	MATH 331
Title	Linear Albegra
Professor	Mark Halsey
Schedule	Tu Th 9:00 am - 10:20 am HEG 201

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.

Prerequisite: Mathematics 231

CRN	90334	Distribution	E
Course No.	MATH 372
Title	Combinatorics
Professor	Mark Halsey
Schedule	Tu Th 10:30 am - 11:50 am HEG B10

Combinatorial mathematics is the study of how to combine objects into finite arrangements. Topics covered in this course are chosen from enumeration and generating functions, graph theory, matching and optimization theory, combinatorial designs, ordered sets, and coding theory.

Prerequisite: Mathematics 231 or permission of the instructor.