Course

MATH 107Topics in Geometrical Math

Professor

Ethan Bloch

CRN

16296

 

Schedule

Tu Th††††† 1:00-2:20 pm†† OLINLC 115

Distribution

OLD: E/Q

NEW: Math and Computing

Geometrical mathematics involves many topics other than traditional Euclidean geometry. This course explores topics that vary 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. On-line

 

Course

MATH 110 Precalculus Mathematics

Professor

Jan Rizzuti

CRN

16298

 

Schedule

Mon Wed†††† 1:00-2:20 pmHEG 106

Distribution

OLD: E/Q

NEW: Math and Computing

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.Prerequisites: eligibility for Q courses.On-line

 

Course

MATH 131Exploration in Number Theory

Professor

Lauren Rose

CRN

16297

 

Schedule

Tu Th††††† 10:30- 11:50 am†† HEG 106

Distribution

OLD: E/G/Q

NEW: Math and Computing

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.On-line

 

Course

MATH 141Calculus I

Professor

Joe Kirtland

CRN

16299

 

Schedule

Mon Wed††† 6:40-8:30 pm†† HEG 102

Distribution

OLD: E/G/Q

NEW: Math and Computing

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: Precalculus or the equivalent. On-line

 

Course

MATH 142Calculus II

Professor

Jules Albertini

CRN

16300

 

Schedule

Mon Wed††††† 2:30-4:20 pm HEG 106

Distribution

OLD: E/G/Q

NEW: Math and Computing

This course, a continuation of Calculus I, reinforces the fundamental ideas of the derivative and the definite integral.Topics covered include L'Hopital's rule, integration techniques, improper integrals, volumes, arc length, sequences and series, powerseries, continuous random variables, and separable differential equations.

Prerequisites:Mathematics 141 or the equivalent. On-line

 

Course

MATH 212†† Calculus III

Professor

Sheila Sundaram

CRN

16301

 

Schedule

Tu Th††††† 1:00-2:50 pm†† HEG 106

Distribution

OLD: E/Q

NEW: Math and Computing

This course investigates differentiation and integration of multivariable functions. Topics covered include vectors, coordinate systems, vector valued functions, partial derivatives, gradients, Lagrange multipliers, multiple integrals, change of variables, line integrals, Greenís theorem, and Stokeís theorem.

Prerequisite: Mathematics 141 and 142 or the equivalent. On-line

 

Course

MATH 242 Elementary Linear Algebra

Professor

Sheila Sundaram

CRN

16302

 

Schedule

Tu Th††††† 9:00- 10:20 am††† HEG 106

Distribution

OLD: E/Q

NEW: Math and Computing

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. On-line

 

Course

MATH 261Proofs and Fundamentals

Professor

Ethan Bloch

CRN

16303

 

Schedule

Mon Wed††† 3:00-4:20 pm†† OLINLC 115

Distribution

OLD: E/Q

NEW: Math and Computing

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.

Prerequisite: Mathematics 141 and 142, or permission of instructor.On-line

 

Course

MATH 302Enumerative Combinatorics

Professor

Mark Halsey 

CRN

16476

 

Schedule

TBA

Distribution

OLD: n/a

NEW: n/a

2 credits†† In this course we develop the basic methods of enumeration which include elementary counting techniques, the inclusion-exclusion principle, and generating functions.  We will apply these counting methods to fundamental combinatorial structures such as trees and permutations.On-line

 

Course

MATH 332†† Abstract Algebra

Professor

Lauren Rose

CRN

16304

 

Schedule

Mon Wed††† 1:30-2:50 pm†† ALBEE 106

Distribution

OLD: E/Q

NEW: Math and Computing

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 261 or permission of the instructor. On-line

 

Course

MATH 432†† Advanced Algebra

Professor

Lauren Rose

CRN

16305

 

Schedule

Tu Th††††† 3:00-4:20 pm†† HEG 106

Distribution

OLD: E/Q

NEW: Math and Computing

This course is a continuation of Mathematics 332.The primary goal is to develop the Galois theory of fields.Toward that end we study the theory of field extensions including algebraic extensions, automorphisms of fields, splitting fields, and separable extensions.As time permits we may develop some topics in advanced group theory such as series of groups and the Sylow theorems. Prerequisites:Mathematics 331 and 332, or permission of the instructor.On-line