If you haven’t taken a math course at Bard yet, please
take our Online Math Placement Diagnostic Test. Go to http://math.bard.edu/mbelk/placement for instructions, or contact Maria Belk at mbelk@bard.edu.
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11580 
ARC 150 Algebra Workshop 
Maria Belk 
M . . . . 
7:00 – 9:00 pm 
RKC 115 
N/A 
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.
11581 
ARC 190 Algebra, Trigonometry and Functions 
Maria Belk 
. T . . . 
7:00 9:00 pm 
RKC 115 
N/A 
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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11449 
MATH 107 Topics in Geometrical Math 
Ethan Bloch 
M . W . . 
1:30 2:50 pm 
HEG 102 
MATC 
Geometrical mathematics involves many topics other
than traditional Euclidean geometry. This course explores topics that vary from
semester to semester and may include some, but not all of the following: symmetry,
groups, frieze and wallpaper patterns, graphs, surfaces, knots, and higher
dimensions. Prerequisite: eligibility for Q courses and a willingness to
explore new ideas and construct convincing arguments is a necessity.
11055 
MATH 110 Precalculus Mathematics 
Mary Krembs 
. . W . F 
12:00 1:20 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: eligibility for Qcourses and either solid algebra skills or concurrent enrollment in ARC 150.
11813 
MATH
131
Exploration in Number Theory 
Samuel
Hsiao 
M
. W . . 
1:30
 2:50 pm 
RKC
102 
MATC 
This course will provide an
overview of one of the oldest and most beautiful areas of mathematics. It is
ideal for any student who wants a taste of mathematics outside of the calculus
sequence. Topics may include: number puzzles, prime numbers, congruences,
quadratic reciprocity, sums of squares, Diophantine equations, cryptography,
coding theory, and continued fractions. Prerequisite: Calculus background
or very strong Precalculus background.
11058 
MATH 141
A Calculus I 
Jules Albertini 
M . . . . 
3:00 4:20 pm 
HEG 106 
MATC 



. . W . . 
4:30 5:50 pm 
HEG 106 

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.
11059 
MATH 141
B Calculus I 
Gregory Landweber 
. T . Th . 
2:30 3:50 pm 
RKC 111 
MATC 
See above.
11061 
MATH 142
A Calculus II 
John Cullinan 
M . W . . 
1:30 2:50 pm 
RKC 101 
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.
11062 
MATH 142
B Calculus II 
Cliona Golden 
. T . Th . 
1:00 2:20 pm 
HEG 106 
MATC 
See above.
11063 
MATH 212
A Calculus III 
Ethan Bloch 
M . W . . 
3:00 4:20 pm 
HEG 102 
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.
11064 
MATH 242
A Linear Algebra with Applications 
Mary Krembs 
. T . Th . 
10:30  11:50 am 
HEG 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.
11065 
MATH 242
B Linear Algebra with Applications 
Mary Krembs 
. T . Th . 
1:00 2:20 pm 
HEG 102 
MATC 
See above.
11066 
MATH 261
A Proofs and Fundamentals 
Gregory Landweber 
. T . Th . 
1:00 2:20 pm 
RKC 111 
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.
11067 
MATH 261
B Proofs and Fundamentals 
Samuel Hsiao 
. . W . F 
10:30  11:50 am 
RKC 101 
MATC 
See above.
11451 
MATH 313 Data Analysis: Getting the Extra Rigor 
Gidon Eshel 
. T . Th . 
1:00 2:20 pm 
RKC 102 
MATC 
This course is designed to provide the
computational, algebraic and statistical tools needed to understand and
make contributions in empirical science. The main focus is
multidimensional data, data that typically are a function of space and
time. Because the number of space points, M, is in general distinct from
the number of time points, N, the resultant M x N data matrices have no
eigen representation. What inferences can be gleaned from such
datasets? What techniques are best employed for answering your
questions of interest? What does failure look like when these
criteria are NOT met? After a solid linear algebra review, topics
covered will comprise covariance and crosscovariance functions and matrices, spanning
sets, spectral representations and truncations, discrete vs. continuous
spectra and the real number continuum, singular value decomposition (the
algebraic machinery and the data analytic tool) and Monte Carlo techniques.
Prerequisites: Mathematics 212 and Mathematics 242.
11452 
MATH 316 Combinatorics 
Maria Belk 
M . W . . 
1:30 2:50 pm 
HEG 106 
MATC 
Combinatorial mathematics is
the study of how to combine objects into finite arrangements. Topics covered
in this course are chosen from enumeration and generating functions, graph
theory, matching and optimization theory, combinatorial designs, ordered
sets, and coding theory. Prerequisites: Math 261 or permission of
instructor.
11453 
MATH 319 Probability and Statistics 
Cliona Golden 
. T . Th . 
9:00  10:20 am 
RKC 101 
MATC 
Everyday we make decisions
based on numerical data in the face of uncertainty. We do so while reading the
latest political polls, playing a card game, interpreting a medical
diagnosis, or analyzing a scientific experiment. Probabilistic models and
statistical methods help us to think through such decisions in a precise
mathematical fashion. This course provides a calculusbased introduction to
techniques and applications of probability and statistics. Topics considered
will include random variables and their distributions, the Central Limit
Theorem, hypothesis testing. Prerequisites: Math 212. Some knowledge of Linear Algebra is helpful. For students concentrating
in economics, Math 319 can substitute for Economics 229.
11454 
MATH 332 Abstract Algebra 
James Belk 
. T . Th . 
2:30 3:50 pm 
RKC 102 
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.
11455 
MATH 362 Complex Analysis 
John Cullinan 
M . W . . 
3:00 4:20 pm 
RKC 102 
MATC 
This course will cover the
basic theory of functions of one complex variable. Topics will include the geometry
of complex numbers, holomorphic and
harmonic functions, Cauchy’s theorem and its consequences, Taylor and Laurent
series, singularities, residues, elliptic functions and/or other topics as time
permits. Prerequisites: Math
361 or permission of the instructor
11456 
MATH 405 Mathematical Logic 
Robert McGrail 
. T . Th . 
2:30 3:50 pm 
RKC 101 
MATC 
An introduction to mathematical logic. Topics include firstorder logic, completeness and compactness theorems, model theory, nonstandard analysis, decidability and undecidability, incompleteness, and Turing machines. Prerequisites: Mathematics 332 or permission of instructor.