If you haven't taken a math course at Bard yet, please take our Online Math Placement Diagnostic Test.  Go to <http://math.bard.edu/mbelk/mathplacement> for instructions, or contact Maria Belk at [email protected]

99568

ARC 150 Algebra Workshop

Maria Belk

M . . . .

7:00 -9:00 pm

RKC 101

2 credits This course provides a review of the algebra used in math, science, and social science courses.  It is designed for students who would like to improve their algebra skills while taking or in preparation to take an introductory math, science, economics or statistics course.  Topics include linear equations and their graphs, quadratic equations, fractions, rational expressions, and exponents.  This course meets for the first ten weeks of the semester, and it will be graded Pass/Fail.   No distribution or divisional credit is earned.

99569

ARC 190 Algebra, Trigonometry and Functions

Maria Belk

. T . . .

7:00 -9:00 pm

RKC 101

2 credits This course is designed for students who have taken a precalculus course in high school or at Bard, but would like more computational practice with algebra, trigonometry, logarithms and exponentials.  This course can be taken at the same time as a math, science, or economics course, or in preparation to take such a course in a subsequent semester. This course meets for the first ten weeks of the semester, and will be graded Pass/Fail.   No distribution or divisional credit is earned.

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99317

MATH 110 Precalculus Mathematics

Maria Belk

. T . Th .

2:30 -3:50 pm

OLINLC 115

MATC

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: successful completion of Q exam.

99337

MATH 122 A Communications (and Miscommunications) using Math

Cliona Golden

M . W . .

9:00 - 10:20 am

HEG 106

MATC

This course introduces the math behind everyday communications, from the mass media to cellphones. Topics covered include cryptography used in secure web sites, elements of sound and image analysis used in MP3 players and digital cameras, and accurately understanding media reporting on topics such as health, science, and politics. Prerequisite: Precalculus or the equivalent.

99338

MATH 122 B Communications (and Miscommunications) using Math

Cliona Golden

M . W . .

10:30 - 11:50 am

HEG 106

MATC

See above.

99322

MATH 141 A Calculus I

Ethan Bloch

M . W . .

1:30 -2:50 pm

HEG 102

MATC

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.

99320

MATH 141 B Calculus I

Mary Krembs

. T . Th .

10:30 - 11:50 am

RKC 102

MATC

See above.

99319

MATH 141 C Calculus I

Gregory Landweber

M . W . .

3:00 -4:20 pm

RKC 102

MATC

See above.

99321

MATH 141 D Calculus I

Lauren Rose

. T . Th .

2:30 -3:50 pm

RKC 101

MATC

See above.

99324

MATH 142 A Calculus II

James Belk

. T . Th .

2:30 -3:50 pm

RKC 115

MATC

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.

99325

MATH 142 B Calculus II

James Belk

M . W . .

3:00 -4:20 pm

RKC 115

MATC

See above.

99328

MATH 211 Introduction to Differential Equations

Gregory Landweber

. T . Th .

1:00 -2:20 pm

HEG 106

MATC

Cross-listed: Cognitive Science 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 the equivalent.

99327

MATH 212 A Calculus III

John Cullinan

. T . Th .

9:00 - 10:20 am

RKC 101

MATC

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, Green’s theorem, and Stoke’s theorem.

Prerequisite: Mathematics 141 and 142 or the equivalent.

99326

MATH 212 B Calculus III

Mary Krembs

. T . Th .

1:00 -2:20 pm

RKC 101

MATC

See above.

99329

MATH 242 Linear Algebra w/Applications

Mark Halsey

M . W . .

9:00 - 10:20 am

RKC 102

MATC

Cross-listed: Cognitive Science 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 141-142 or permission of the instructor.

99330

MATH 261 Proofs and Fundamentals

Lauren Rose

M . W . .

1:30 -2:50 pm

HEG 106

MATC

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.

99331

MATH 299 Problem Solving Seminar

James Belk

. T . . .

6:00 -7:30 pm

.

MATC

2 credits This course introduces problem solving techniques used throughout the mathematics curriculum. The course focuses on solving difficult problems stated in terms of elementary combinatorics, geometry, algebra, and calculus. Each class combines a lecture describing the common tricks and techniques used in a particular field, together with a problem session where the students work together using those techniques to tackle some particularly challenging problems. Students may find this class helpful in preparing for the Putnam Exam, a national college mathematics competition given in early December. Prerequisites:  Any 200-level mathematics course or permission of the instructor. 

99486

MATH 312 Advanced Calculus

John Cullinan

. T . Th .

10:30 - 11:50 am

RKC 101

MATC

This course treats the differential and integral calculus of several variables from an advanced perspective. Students are expected to be familiar with the fundamentals of multivariate calculus from Math 212. Topics include curvilinear coordinates, change of variables for multiple integrals, Stokes' Theorem, Divergence theorem, Fourier series and transform, applications to probability and the physical sciences. Prerequisites:  Math 212 or permission of the instructor.

99485

MATH 318 Number Theory

John Cullinan

. . W . F

10:30 - 11:50 am

RKC 102

MATC

This is a proofs-based introduction to the theory of numbers and covers the fundamentals of quadratic number fields.  Topics include factorization, class group, unit group, Diophantine approximation, zeta functions, and applications to cryptography.
Prerequisites: Math 261

99382

MATH 332 Abstract Algebra

Lauren Rose

. T . Th .

10:30 - 11:50 am

HEG 106

MATC

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.

99335

MATH 340 Coding Theory

Gregory Landweber

M . W . .

1:30 -2:50 pm

RKC 102

MATC

The digital transmission of information is considered to be extremely reliable, and yet it suffers from the same sorts of interference, corruption, and data loss that plague analog transmission. The reliability of digital transmission comes from the use of sophisticated techniques that encode the digital data so that errors can be easily detected and corrected. This theory of error correcting codes, while having broad applications ranging from CDs to the internet to high definition television, requires some surprisingly beautiful mathematics. We will interpret strings of bits as vectors in an abstract vector space, which allows us to manipulate binary data using linear algebra over finite fields. This class will introduce students to the basics of error correcting codes, as well as touching on the mathematics of data compression and encryption. If time permits, we will also discuss quantum error correction. Although this course will mention encryption, the emphasis will NOT be on cryptography. This course will not involve any programming. Prerequisites: Math 242 and either Math 261 or CMSC 242 (Discrete Mathematics).

99332

MATH 361 Real Analysis

Cliona Golden

. T . Th .

9:00 - 10:20 am

HEG 102

MATC

The fundamental ideas of analysis in one-dimensional Euclidean space are studied. Topics covered include the completeness of the real numbers, sequences, Cauchy sequences, continuity, uniform continuity, the derivative, and the Riemann integral. As time permits other topics may be considered, such as infinite series of functions or metric spaces. Prerequisite: Mathematics 261 or permission of the instructor.

99403

MATH 453 Modern Geometry

Ethan Bloch

. T . Th .

2:30 -3:50 pm

HEG 106

MATC

Geometry is an ancient subject, but it has received a modern makeover in the past two centuries, where the type of geometry now studied is broader than just Euclidean geometry, and where the approach is now analytic rather than axiomatic.  In this course we will look at Euclidean, non-Euclidean (hyperbolic and elliptic) and projective geometries, making use of tools from linear algebra and abstract algebra. Prerequisites: Math 242 and Math 332 (which can be taken simultaneously with this course), or permission of instructor.