Math Placements for the Calculus Sequence at
Bard, based on last math course taken
Last Course Taken: Never took Precalculus, or grade
of C or below in Precalculus
Placement: Precalculus. You can also take the
diagnostic test at http://math.bard.edu/bloch/calc_diagnostic.pdf
to see if you already know this material.
Last Course Taken: Precalculus with a grade of B or
better
Placement: Calculus I
Last Course Taken: Calculus without an AP exam
Placement: Calculus I, II or III, depending on how well
you did and what the course covered. Take the diagnostic test to see
which course you are ready for: http://math.bard.edu/bloch/calc_diagnostic.pdf
Last Course Taken: Calculus with the AB exam
Placement:
Last Course Taken: Calculus with the BC exam
Placement:
Please direct any questions to math program faculty members:
Lauren Rose, rose@bard.edu
Sam Hsiao, hsiao@bard.edu
Course 
MATH 102 Mathematics of Chance 

Professor 
James Helmreich 

CRN 
97488 

Schedule 
Mon Fri 1:30 – 2:50 pm OLINLC 115 

Distribution 
Mathematics &
Computing 
Students and the instructor choose serious
applications of probability and statistics as the focus of the course. Concepts
in probability and statistics are developed to the extent necessary to
understand the applications. Most topics are introduced in a casestudy
fashion, usually by reading an article in a current periodical such as the New
York Times. Other examples are drawn from journals such as Chance,
Nature, Science, and Scientific American. Primary reading is
supplemented by readings on basic probability and statistics. The goal is to
enable the student to make critical judgments and come to informed conclusions
about current issues involving chance. Prerequisite: successful
completion of Q exam.
Course 
MATH 110 Precalculus Mathematics 

Professor 
Jan Rizzuti 

CRN 
97222 

Schedule 
Tu Th 2:30 3:50 pm RKC 103 

Distribution 
Mathematics &
Computing 
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.
Course 
MATH 141 A Calculus I 

Professor 
Jules Albertini 

CRN 
97223 

Schedule 
Mon Fri 1:30  2:50 pm HEG 102 

Distribution 
Mathematics &
Computing 
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.
Course 
MATH 141 B Calculus I 

Professor 
John Cullinan 

CRN 
97224 

Schedule 
Tu Th 9:00  10:20 am RKC 101 

Distribution 
Mathematics &
Computing 
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.
Course 
MATH 141 C Calculus I 

Professor 
Lauren Rose 

CRN 
97225 

Schedule 
Mon Wed 1:30 2:50 pm HEG 106 / Albee 100 

Distribution 
Mathematics &
Computing 
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.
Course 
MATH 141 D Calculus I 

Professor 
Jules Albertini 

CRN 
97883 

Schedule 
Mon 6:30 – 7:50 pm HEG 102 Wed 4:30 – 5:50 pm HEG 102 

Distribution 
Mathematics &
Computing 
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.
Course 
MATH 142 A Calculus II 

Professor 
Samuel Hsiao 

CRN 
97226 

Schedule 
Tu Th 9:00  10:20 am RKC 102 

Distribution 
Mathematics &
Computing 
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.
Course 
MATH 142 B Calculus II 

Professor 
Samuel Hsiao 

CRN 
97227 

Schedule 
Wed Fri 10:30 – 11:50 am RKC 102 

Distribution 
Mathematics &
Computing 
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.
Course 
MATH 211 Introduction to Differential Equations 

Professor 
John Cullinan 

CRN 
97228 

Schedule 
Mon Wed 1:30 2:50 pm RKC 102 

Distribution 
Mathematics &
Computing 
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.
Course 
MATH 212 A Calculus III 

Professor 
Mary Krembs 

CRN 
97229 

Schedule 
Mon Wed Fri 9:00  10:20 am RKC 101 

Distribution 
Mathematics &
Computing 
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.
Note: This
class will end in late November.
Course 
MATH 212 B Calculus III 

Professor 
Mary Krembs 

CRN 
97884 

Schedule 
Mon Wed Fri 10:30 – 11:50 am RKC 101 

Distribution 
Mathematics &
Computing 
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.
Note: This
class will end in late November.
Course 
MATH 242 Linear Algebra with Applications 

Professor 
Greg Landweber 

CRN 
97230 

Schedule 
Mon Wed 3:00 4:20 pm ALBEE 106 / ALBEE 100 

Distribution 
Mathematics &
Computing 
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.
Course 
MATH 261 Proofs and Fundamentals 

Professor 
Lauren Rose 

CRN 
97145 

Schedule 
Tu Th 10:30 – 11:50 am ALBEE 106 

Distribution 
Mathematics &
Computing 
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.
Course 
MATH 299 Problem Solving Seminar 

Professor 
Greg Landweber 

CRN 
97369 

Schedule 
Mon 6:00 8:00 pm RKC 101 

Distribution 
Mathematics &
Computing 
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.
Course 
MATH 316 Topics in Combinatorics 

Professor 
Samuel Hsiao 

CRN 
97517 

Schedule 
Tu Th 1:00 – 2:20 pm ALBEE
106 

Distribution 
Mathematics &
Computing 
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.
Course 
MATH 352 Differential Geometry 

Professor 
Greg Landweber 

CRN 
97368 

Schedule 
Tu Th 10:30  11:50 am RKC 101 

Distribution 
Mathematics &
Computing 
This course explores the mathematics of curved
spaces, particularly curved surfaces embedded in threedimensional Euclidean space.
Originally developed to study the surface of the earth, differential geometry
is an active area of research, and it is fundamental to physics, particularly
general relativity. The basic issue is to determine whether a given space is
indeed curved, and if so, to quantitatively measure its curvature using
multivariable calculus. This course also introduces geodesics, curves
of minimal length. The course culminates with the GaussBonnet theorem,
giving a link between the geometry and topology of surfaces. Prerequisites: Math 212 and Math 261,
or permission of instructor.
Course 
MATH 361 Real Analysis 

Professor 
Mark Halsey 

CRN 
97146 

Schedule 
Mon Wed 1:30 2:50 pm RKC 101 

Distribution 
Mathematics &
Computing 
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.