92467

MATH 102 A

ELEMENTARY STATISTICS

Amir Barghi

M W 1:30 pm – 2:50 pm

HEG 308

MATC

The main focus of this course is to introduce core ideas in statistics that are needed to make sense of what is found in media outlets, online surveys, and scientific journals. Most concepts are introduced in a case-study fashion; statistical software will be used to analyze data and facilitate classroom discussions. The goal of this course is to foster statistical reasoning, and to assist in making informed conclusions about topics involving data. Intended for non-math majors. Prerequisites: passing score on Part I of the Mathematics Diagnostic. Class size: 18

92468

MATH 102 B

ELEMENTARY STATISTICS

Amir Barghi

T Th 10:10 am – 11:30 am

HEG 204

MATC

See above.

91816

MATH 105

time, space and infinity: Mathematical Perspectives on Philosophical Paradoxes

Steven Simon

T Th 10:10 am-11:30 am

HEG 106

MATC

Cross-listed: Philosophy If time is composed of moments with zero duration, is change an illusion? Beginning with Zeno’s ancient paradoxes, fundamental problems on the nature of time and space – and intimately related ones regarding infinity – have bedeviled thinkers through the contemporary period. This course will provide a beginner-friendly tour of some of mathematics’ most profound discoveries (irrational numbers, limits, uncountability) and the concerns (e.g., how can there be the “same” amount of whole numbers as there are fractions, yet “fewer” fractions than real numbers?) which arise in answering such intractable questions. Other than a working knowledge of basic algebra, the class requires only a willingness to explore new ideas and construct convincing arguments. Prerequisite: Passing score on Part I of the Mathematics Diagnostic. Class size: 22

91766

MATH 110 A

Precalculus Mathematics

Jules Albertini

M W 4:40 pm -6:00 pm

HEG 102

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. Prerequisite: passing score on Part I of the Mathematics Diagnostic. Class size: 22

92469

MATH 110 B

Precalculus Mathematics

Lauren Rose

M W F 11:50 am- 1:10 pm

RKC 111

MATC

See above.

91767

MATH 141 A

Calculus I

Japheth Wood

T Th 10:10 am-11:30 am

HEG 308

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: MATH 110 Precalculus or the equivalent. Class size: 22

91768

MATH 141 B

Calculus I

Japheth Wood

T Th 1:30 pm-2:50 pm

HEG 308

MATC

See above. Class size: 22

91769

MATH 141 C

Calculus I

Ethan Bloch

M W 10:10 am-11:30 am

HEG 204

MATC

See above. Class size: 22

91770

MATH 141 D

Calculus I

Ethan Bloch

M W 1:30 pm-2:50 pm

HEG 204

MATC

See above. Class size: 22

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91771

MATH 142 A

Calculus II

Stefan Mendez-Diez

W F 10:10 am-11:30 am

HEG 308

MATC

This course, a continuation of Calculus I, reinforces the fundamental ideas of the derivative and the definite integral. Topics covered include techniques of integration, l'Hopital's rule, improper integrals, applications of integration, functions of several variables, partial derivatives, multiple integrals. Prerequisite: MATH 141 Calculus or the equivalent. Class size: 22

91772

MATH 142 B

Calculus II

James Belk

T Th 10:10 am-11:30 am

HEG 102

MATC

See above. Class size: 22

91773

MATH 142 C

Calculus II

Stefan Mendez-Diez

T Th 1:30 pm-2:50 pm

HEG 102

MATC

See above. Class size: 22

92290

MATH 208

MATHEMATICS SEMINAR

Lauren Rose

T 12:00 pm- 1:00 pm

HEG 204

1 credit This course exposes students to the broad range of ideas in modern mathematics through a series of weekly seminar talks given by visiting speakers and Bard faculty. Seminar talks may include subjects of current research interest as well as expository talks on topics not typically covered in Bard mathematics courses. The course is graded Pass/Fail and students are responsible for short follow-up assignments based on the talks. Prerequisite: At least one 200-level mathematics course. Class size: 20

91774

MATH 242

Elementary Linear Algebra

Japheth Wood

M W 11:50 am-1:10 pm

RKC 101

MATC

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.

Prerequisite: Math 142 or permission of the instructor. Class size: 18

91775

MATH 245

Intermediate Calculus

Amir Barghi

M W 8:30 am-9:50 am

HEG 308

MATC

This course continues the study of calculus begun in MATH 141-142. Topics covered include double and triple integrals in curvilinear coordinates, sequences and series, power series, and an introduction to ordinary differential equations. Prerequisite: MATH 142 or permission of the instructor. Class size: 18

91778

MATH 261

Proofs and Fundamentals

Lauren Rose

T Th 1:30 pm-2:50 pm

HEG 204

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: MATH 142 Calculus II, or permission of instructor. Class size: 15

91779

MATH 312

Advanced Calculus

James Belk

T Th 3:10 pm-4:30 pm

RKC 102

MATC

This course treats the differential and integral calculus of several variables from an advanced perspective. Topics may include the derivative as a linear transformation, change of variables for multiple integrals, parametrizations of curves and surfaces, line and surface integrals, Green's theorem, Stokes' theorem, the divergence theorem, manifolds, tensors, differential forms, and applications to probability and the physical sciences. Prerequisite: MATH 241 (Vector Calculus) or PHYS 222 (Mathematical Methods II), or permission of the instructor. Class size: 15

91781

MATH 321

Differential Equations

Stefan Mendez-Diez

T Th 10:10 am-11:30 am

ALBEE 100

MATC

This course is an introduction to the theory of partial differential equations. The primary focus is the derivation and solutions of the main examples in the subject rather than on the existence and uniqueness theorems and higher analysis. Topics include hyperbolic and elliptic equations in several variables, Dirichlet problems, the Fourier and Laplace transform, Green's functions, and numerical and approximation methods. Prerequisites: MATH 213 or permission of the instructor. Class size: 15

91782

MATH 331

Abstract Linear Algebra

Ethan Bloch

M W 3:10 pm-4:30 pm

HEG 204

MATC

This course is an introduction to the study of linear algebra as an abstract algebraic system. The main focus of this course is the study of vector spaces, and linear maps between vector spaces. Topics covered will include vector spaces, linear independence, bases, dimension, linear maps, isomorphisms, matrix representations of linear maps, determinants, eigenvalues, inner product spaces and diagonalizability. This course satisfies the Abstract Algebra requirement of the Mathematics Program. Prerequisite: MATH 261, and one of MATH 213 or MATH 242, or permission of the instructor. Class size: 15

91783

MATH 361

Real Analysis

Steven Simon

M W 10:10 am-11:30 am

RKC 101

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: MATH 261 and one prior 300-level mathematics course is recommended, or permission of the instructor. Class size: 15

92240

MATH 430

GALOIS THEORY

Lauren Rose

M 1:30 pm-2:50 pm

HEG 102

MATC

(2 credits) The goal of this course is to develop the Galois Theory of fields, a theory that connects groups, rings, fields and vector spaces in the study of roots of polynomials. Toward that end we develop the theory of field extensions including algebraic extensions, automorphisms of fields, splitting fields, and separable extensions, with some surprising applications. Prerequisite: Mathematics 332. Class size: 12