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If
you haven’t taken a math course at Bard yet, please take our Online Math
Placement Diagnostic Test (Q test)
Go
to http://math.bard.edu/mbelk/placement
for instructions, or contact Maria Belk at mbelk@bard.edu.
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91521 
ARC 150 Algebra Workshop 
Maria Belk 
. T . . . 
7:00 9:00 pm 
RKC 115 

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 distributional credit is earned.
91522 
ARC 190 Algebra, Trigonometry and Functions 
Maria Belk 
. . W . . 
7:00 9:00 pm 
RKC 115 

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 distributional
credit is earned.
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91010 
MATH 106 Mathematics and Politics 
John Cullinan 
M . W . . 
1:30 2:50 pm 
RKC 111 
MATC 
This course considers applications of mathematics
to political science. Five major topics
will be covered: a model of escalatory
behavior, gametheoretic models of international conflict, yesno voting systems,
political power, and social choice. For
each model presented, the implications of the model as well as the limitations
of the model will be discussed.
Students will be actively involved in the modeling process. There is no particular mathematical
prerequisite for this course though we will do some algebraic computations from
time to time and discuss deductive proofs of some of the main results. Prerequisite: successful
completion of the Q exam.
91009 
MATH 110 Precalculus Mathematics 
Mary Krembs 
M . W . . 
10:10 11:30 am 
RKC 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. Students who
need to brush up on their Precalculus skills are encouraged to enroll
concurrently in ARC 150. Prerequisites: successful completion of
the Q exam and either solid algebra skills or concurrent enrollment in ARC 150.
91021 
MATH 123 Statistics for Everyday Life 
Cliona Golden 
. T . Th . 
8:30 9:50 am 
HEG 102 
MATC 
Statistics is everywhere
these days. It is used in the stock market, in weather forecasting, in medical studies,
by insurance companies, in quality testing, and in many other areas. This
course will introduce core ideas in statistical reasoning to enable you to make
sense of and (in)validate the statistics you encounter in the media, in your
classes, and in everyday life. Prerequisite: Precalculus or the
equivalent.
91011 
MATH 141
A Calculus I 
Gregory Landweber 
. T . Th . 
1:30 2:50 pm 
Olin L. C. 115 
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.
91012 
MATH 141
B Calculus I 
Gregory Landweber 
. T . Th . 
3:10 – 4:30 pm 
Heg 106 
MATC 
See
description above.
91510 
MATH 141
C Calculus I 
Gregory Landweber 
. T . Th . 
10:10 – 11:30 am 
RKC 101 
MATC 
See
description above.
91509 
MATH 141
D Calculus I 
John Cullinan 
M . W . . 
3:10 – 4:30 pm 
RKC 111 
MATC 
See
description above.
91013 
MATH 142
A Calculus II 
Lauren Rose 
. T . Th . 
1:30 2:50 pm 
Heg 106 
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.
91014 
MATH 142
B Calculus II 
Cliona Golden 
M . W . . 
8:30 9:50 am 
HEG 102 
MATC 
See
description above.
91015 
MATH 142
C Calculus II 
Cliona Golden 
M . W . . 
10:10  11:30 am 
HEG 106 
MATC 
See
description above.
91016 
MATH 211 Introduction to Differential Equations 
Samuel Hsiao 
M . W . . 
3:10 4:30 pm 
RKC 101 
MATC 
Differential
equations are widely used to model real phenomena, such as disease transmission
or mechanical vibrations. This course is an introduction to ordinary
differential equations and their many applications. The focus is on first and
secondorder equations and firstorder linear systems. Topics include
analytical, graphical, and numerical methods, existence and uniqueness of
solutions, and computer simulation. Applications will be selected from biology,
physics, and other disciplines and will vary according to the instructor. Prerequisites:
Mathematics 142 or permission of the instructor.
91017 
MATH 212
A Calculus III 
Ethan Bloch 
M . W . . 
3:10 4:30 pm 
HEG 106 
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.
91018 
MATH 212
B Calculus III 
Samuel Hsiao 
M . W . . 
10:10  11:30 am 
Albee 106 
MATC 
See
description above.
91019 
MATH 242 Elementary Linear Algebra 
Lauren Rose 
. T . Th . 
10:10  11:30 am 
Heg 106 
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.
91020 
MATH 261 Proofs and Fundamentals 
James Belk 
. T . Th . 
11:50 1:10 pm 
RKC 101 
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.
91028 
MATH 314 Modeling Realizable Phenomena 
Gidon Eshel 
. T . Th . 
10:10  11:30 am 
RKC 100 
MATC 
In nearly every aspect of
human knowledgeconceptual, qualitative, statistical, analytic, numericalmodeling
plays a prominent role. Modeling strategies vary widely depending on the
phenomenon being studied, the nature and type of the salient state variables,
the problem's dimensions, and additional simplifying constraints. In this
course, we will learn some modeling
approaches and styles, considering both situations when the governing equations
are unknown, and when the governing equations are known but are imperfect. Topics may include statistical modeling,
timeseries, spatial modeling and kriging, modeling in terms of special complete
sets, auto and crosscorrelation functions, Markov chains, differential
equations, data assimilation and combining data with models. Prerequisites:
Mathematics 212 and Mathematics 242.
91072 
MATH 317 Graph Theory 
Maria Belk 
. T . Th . 
11:50 1:10 pm 
RKC 111 
MATC 
Graph theory is a branch of mathematics that has
applications in areas ranging from operations research to biology. This course is a survey of the theory and applications
of graphs. Topics will be chosen from among connectivity, trees, Hamiltonian
and Eulerian paths and cycles; isomorphism and reconstructability; planarity,
coloring, colorcritical graphs and the fourcolor theorem; intersection
graphs, vertex and edge domination; matchings and network flows, matroids and
their relationship with optimization, and random graphs. Several applications of graph theory will be
discussed in depth. Prerequisites: Math 261 or permission of the instructor.
91024 
MATH 332 Abstract Algebra 
John Cullinan 
. T . Th . 
1:30 2:50 pm 
RKC 101 
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.
91026 
MATH 351 Point Set Topology 
James Belk 
. T . Th . 
3:10 4:30 pm 
RKC 101 
MATC 
An
introduction to point set topology. Topics include metric spaces, compactness,
connectedness, continuity, homeomorphisms, separation criteria, and possibly
the fundamental group. Prerequisite: Mathematics 261 or permission
of the instructor.
91025 
MATH 361 Real Analysis 
Ethan Bloch 
M . W . . 
1:30 2:50 pm 
HEG 106 
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.
91027 
MATH 432 Advanced Topics in Abstract Algebra 
Samuel Hsiao 
. T . Th . 
1:30 2:50 pm 
RKC 102 
MATC 
This course continues the
study of abstract algebra begun in Math 332.
Topics are chosen by the instructor, and may include some additional
group theory, Galois theory, modules, group representations, and commutative
algebra. Prerequisite: Mathematics 332 or permission of the instructor.