Course

MATH 107 Topics in Geometrical Math

Professor

Ethan Bloch

CRN

15259

 

Schedule

M W 1:30 - 2:50 pm OLINLC 115

Distribution

OLD: E/Q

NEW: Math & 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.

 

Course

MATH 110 Precalculus Mathematics

Professor

TBA

CRN

15260

 

Schedule

M W 3:00 4:20 pm ALBEE 106

Distribution

OLD: E/Q

NEW: Math & 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.

 

Course

MATH 141 Calculus I

Professor

Sheila Sundaram

CRN

15261

 

Schedule

Tu Th 1:00 - 2:50 pm Hegeman 106

Distribution

OLD: E/G/Q

NEW: Math & 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.

 

Course

MATH 142 Calculus II

Professor

Jeff Suzuki

CRN

15262

 

Schedule

M W 1:00 - 2:50 pm HEG 106

Distribution

OLD: E/G/Q

NEW: Math & 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, power series, continuous random variables, and separable differential equations.

Prerequisites: Mathematics 141 or the equivalent.

 

Course

MATH 161 Discrete Mathematics

Professor

Mark Halsey

CRN

15263

 

Schedule

Wed Fr 11:30 - 12:50 pm OLINLC 115

Distribution

OLD: E/Q

NEW: Math & Computing

As a complement to calculus, which models continuous phenomena, this course studies discrete processes and structures. Discrete mathematics provides the mathematical foundation for many areas of computation and can be applied to such diverse problems as designing an optimal phone-switching network and designing a computer circuit. Five core areas of discrete mathematics will be covered: enumeration and recurrence relations; fundamentals of logic; sets, relations, and functions; recursion and induction, and basic graph theory. As time permits we will cover other topics that may include: elementary probability theory, generating functions; discrete optimization; modular arithmetic and finite groups; and Boolean algebra. Along the way a brief introduction to the methods of mathematical proof will be given. Prerequisite: One semester of calculus or permission of the instructor.

 

Course

MATH 211 Ordinary Differential Equations

Professor

Melvin Chen

CRN

15264

 

Schedule

M W 1:00 - 2:50 pm Albee 106

Distribution

OLD: E/G/Q

NEW: Math & Computing

This course is an introduction to ordinary differential equations. The course is organized around methods for solving ordinary differential equations, and incorporates many ideas from Calculus. Topics include the classification of differential equations, determining existence and uniqueness of ordinary differential equations, and solving first and second order differential equations using a variety of mathematical tools such as integrating factors, Laplace transforms and power series.

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

 

Course

MATH 261 Proofs and Fundamentals

Professor

Ethan Bloch

CRN

15265

 

Schedule

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

Distribution

OLD: E/Q

NEW: Math & 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.

 

Course

MATH 332 Abstract Algebra

Professor

Sheila Sundaram

CRN

15266

 

Schedule

Tu Th 10:00 - 11:20 am Albee 106

Distribution

OLD: E/Q

NEW: Math & 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.

 

Course

MATH 405 Mathematical Logic

Professor

Robert McGrail

CRN

15267

 

Schedule

M W 3:00 - 4:20 pm HEG 106

Distribution

OLD: E/G/Q

NEW: Math & Computing

An introduction to mathematical logic. Topics include first-order logic, completeness and compactness theorems, model theory, nonstandard analysis, decidability and undecidability, incompleteness, and Turing machines.

Prerequisites: Mathematics 332 or permission of instructor.