*****************************************************************************************************************************************************************
Bard Learning Commons
courses: (no distribution credit)
19110 
BLC
150 Algebra
Workshop 
Daniel Newsome 
F 1:30 pm – 2:50 pm 
OLIN 310 
(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 will be
graded Pass/Fail. No distributional credit is earned. Class
size: 22
19111 
BLC
190 Algebra, Trigonometry,
& Functions 
Daniel Newsome 
T 5:00 pm – 7:00 pm 
OLIN 310 
(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 will be graded Pass/Fail. No
distributional credit is earned. This course will meet for the first 10
weeks of the semester. Class size: 22
********************************************************************************************************************************************************************
19062 
MATH
102 Elementary
Statistics 
Jules Albertini

M W 1:302:50
pm 
HEG 102 
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: 22
19539 
MATH
103 QUADRIVIUM:
MATHEMATICS AND METAPHYSICS IN THE PREMODERN WORLD 
Daniel Newsome

T
Th 8:30am – 9:50 am 
HEG 102 
MC 
MATC 
What does the Music of the Spheres sound
like? What influence did astrology have on mathematics? Why does
Newton's rainbow (ROYGBIV) have 7 colors? Does mathematics exist if there
is nobody to think about it? These questions are addressed by the quadrivium, a term coined by the 6th century philosopher
Boethius for the mathematical program of the medieval university. The quadrivial disciplines make up 4 of the 7 Liberal
Arts: arithmetic, music, geometry and astronomy. Taken as
a whole the quadrivium is the metaphysics of
Pythagoras and Plato. Number is the structure of the universe
and Oneness is its source. This course will explore each of the quadrivial disciplines using primary sources in English
translation and show how mathematics was seen as the structure of
everything. Primary authors will include Plato, Euclid, Ptolemy,
Boethius, Martianus Capella, al Khwarizmi, Sacrobosco, Fibonacci, Oresme, Alberti,
Cardano, and Kepler. 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
19063 
MATH
105 TIME, SPACE, AND INFINITY: MathEMATICAL PERSPECTIVES ON PHILOSOPHICAL PARADOXES 
Steven Simon

M W 10:1011:30
am 
HEG 204 
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
19064 
MATH
110 Precalculus
Mathematics 
Matthew Goodell

W F 8:309:50
am 
HEG 204 
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
19065 
MATH
141 A Calculus I 
Japheth Wood

T Th 10:1011:30
am 
RKC 101 
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
19066 
MATH
141 B Calculus I 
Ethan Bloch

M W 3:104:30
pm 
HEG 204 
MC 
MATC 
See above. Class size: 22
19067 
MATH
142 A Calculus II 
Silvia Saccon

M W F 8:309:50
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
19068 
MATH
142 B Calculus II 
Silvia Saccon

M W F 10:1011:30
am 
HEG 308 
MC 
MATC 
See above. Class size: 22
19069 
MATH
242 Elementary
Linear Algebra 
Stefan MendezDiez

T Th 10:1011:30
am 
ALBEE 100 
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
19070 
MATH
245 Intermediate
Calculus 
Japheth Wood

T Th 1:302:50
pm 
RKC 101 
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
19071 
MATH
261 Proofs and
Fundamentals 
Silvia Saccon

M W F 1:302:50
pm 
HEG 308 
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
19072 
MATH
318 Number Theory 
John Cullinan

T Th 10:1011:30
am 
HEG 308 
MC 
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. Class size: 15
19074 
MATH
321 Differential
Equations 
Steven Simon

M W 3:104:30
pm 
RKC 102 
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
19075 
MATH
331 Abstract
Linear Algebra 
Ethan Bloch

M W 1:302:50
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
19461 
MATH
341 Mathematical
Modeling 
Stefan MendezDiez

M W 10:1011:30
am 
ALBEE 100 
MC 
MATC 
This is a project based course where students
will create mathematical models of real world problems. The first part of the
course will cover some standard mathematical models, some examples of which
might include random walks on a grid and the convectiondiffusion equation. In
the second part of the course, students will choose their own real world
problems to work on, in consultation with the instructor, and create a
mathematical simulation; these problems could involve a topic from another
class or project, or a topic of interest from outside of class. We will be
using the software package MATLAB to build our models, and will explore how we
can apply the mathematics we already know to problems outside of the field.
Prerequisite: One of Math 301 or Math 321; or Math 242 or Math 245, and prior
experience with MATLAB or NumPy, and permission of
the instructor. Class size: 15
19076 
MATH
361 Real Analysis 
John Cullinan

T Th 1:302:50
pm 
HEG 308 
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 (Proofs and
Fundamentals) and a course in multivariable calculus (such as MATH 241, MATH
245, or PHYS 221), or permission of the instructor. At least one other 300level mathematics
course is recommended. Class size: 15
Crosslisted
courses:
19030 
BIO
244 Biostatistics 
Gabriel Perron

M W 3:005:00
pm 
RKC 115 
MC 
MATC 
Crosslisted: Environmental
& Urban Studies; Global Public Health; Mathematics Class
size: 18
19056 
CMSC
145 Discrete Math 
Robert McGrail

T Th 3:104:30
pm 
RKC 101 
MC 
MATC 
Crosslisted: Mathematics Class size: 18
19059 
CMSC
275 Statistics
for Computing 
KerriAnn Norton

M W 3:104:30
pm 
RKC 107 
MC 
MATC 
Crosslisted: Mathematics Class size: 18
19084 
PHYS
222 Mathematical
Methods II 
Harold Haggard

M W F 10:1011:30
am 
HEG 106 
MC 
MATC 
Crosslisted: Mathematics Class size: 16