92467 
MATH 102 A ELEMENTARY
STATISTICS 
Amir Barghi 
M W 1:30 pm – 2:50 pm 
HEG 308 
MC 
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 casestudy 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 nonmath 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 
MC 
MATC 
See
above.
91816 
MATH 105
time, space and infinity: Mathematical Perspectives on Philosophical Paradoxes 
Steven Simon

T Th 10:10
am11:30 am 
HEG
106 
MC 
MATC 
Crosslisted: 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 beginnerfriendly 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 
MC 
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 
MC 
MATC 
See above.
91767 
MATH 141
A Calculus I 
Japheth Wood

T Th 10:10
am11:30 am 
HEG
308 
MC 
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
pm2:50 pm 
HEG
308 
MC 
MATC 
See above. Class size: 22
91769 
MATH 141
C Calculus I 
Ethan Bloch

M W 10:10
am11:30 am 
HEG
204 
MC 
MATC 
See above. Class size: 22
91770 
MATH 141
D Calculus I 
Ethan Bloch

M W 1:30
pm2:50 pm 
HEG
204 
MC 
MATC 
See above. Class size: 22
*******************************************************************************************************************************************************************
91771 
MATH 142
A Calculus II 
Stefan MendezDiez 
W F 10:10
am11:30 am 
HEG
308 
MC 
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
am11:30 am 
HEG
102 
MC 
MATC 
See above. Class size: 22
91773 
MATH 142
C Calculus II 
Stefan MendezDiez

T Th 1:30
pm2:50 pm 
HEG
102 
MC 
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 followup
assignments based on the talks. Prerequisite: At least one 200level
mathematics course. Class size: 20
91774 
MATH 242
Elementary Linear Algebra 
Japheth Wood

M W 11:50
am1:10 pm 
RKC
101 
MC 
MATC 
This
course will cover the basics of linear algebra in ndimensional
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
am9:50 am 
HEG
308 
MC 
MATC 
This course continues
the study of calculus begun in MATH 141142.
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
pm2:50 pm 
HEG
204 
MC 
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
pm4:30 pm 
RKC
102 
MC 
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 MendezDiez

T Th 10:10
am11:30 am 
ALBEE
100 
MC 
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
pm4:30 pm 
HEG
204 
MC 
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
am11:30 am 
RKC
101 
MC 
MATC 
The fundamental ideas of analysis in
onedimensional 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 300level mathematics course is recommended, or permission of the
instructor. Class size: 15
92240 
MATH 430
GALOIS THEORY 
Lauren Rose

M 1:30
pm2:50 pm 
HEG
102 
MC 
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