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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 
Crosslisted: 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 
Crosslisted: Cognitive
Science 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.
Equal time will be given to computational, applied, and theoretical
aspects of the course material. Prerequisite:
Math 141142 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 200level 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 proofsbased
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 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:
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, nonEuclidean (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.