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, [email protected]
Sam Hsiao, [email protected]
Course |
MATH 102 Mathematics of Chance |
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Professor |
James Helmreich |
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CRN |
97488 |
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Schedule |
Mon Fri 1:30 – 2:50 pm OLINLC 115 |
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Distribution |
Mathematics &
Computing |
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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 case-study
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 |
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Professor |
Jan Rizzuti |
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CRN |
97222 |
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Schedule |
Tu Th 2:30 -3:50 pm RKC 103 |
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Distribution |
Mathematics &
Computing |
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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 |
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Professor |
Jules Albertini |
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CRN |
97223 |
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Schedule |
Mon Fri 1:30 - 2:50 pm HEG 102 |
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Distribution |
Mathematics &
Computing |
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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 |
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Professor |
John Cullinan |
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CRN |
97224 |
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Schedule |
Tu Th 9:00 - 10:20 am RKC 101 |
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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 |
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Professor |
Lauren Rose |
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CRN |
97225 |
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Schedule |
Mon Wed 1:30 -2:50 pm HEG 106 / Albee 100 |
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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 |
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Professor |
Jules Albertini |
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CRN |
97883 |
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Schedule |
Mon 6:30 – 7:50 pm HEG 102 Wed 4:30 – 5:50 pm HEG 102 |
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Distribution |
Mathematics &
Computing |
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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 |
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Professor |
Samuel Hsiao |
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CRN |
97226 |
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Schedule |
Tu Th 9:00 - 10:20 am RKC 102 |
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Distribution |
Mathematics &
Computing |
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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 |
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Professor |
Samuel Hsiao |
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CRN |
97227 |
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Schedule |
Wed Fri 10:30 – 11:50 am RKC 102 |
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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 |
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Professor |
John Cullinan |
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CRN |
97228 |
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Schedule |
Mon Wed 1:30 -2:50 pm RKC 102 |
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Distribution |
Mathematics &
Computing |
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Cross-listed: 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 |
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Professor |
Mary Krembs |
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CRN |
97229 |
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Schedule |
Mon Wed Fri 9:00 - 10:20 am RKC 101 |
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Distribution |
Mathematics &
Computing |
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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 |
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Professor |
Mary Krembs |
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CRN |
97884 |
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Schedule |
Mon Wed Fri 10:30 – 11:50 am RKC 101 |
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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 |
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Professor |
Greg Landweber |
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CRN |
97230 |
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Schedule |
Mon Wed 3:00 -4:20 pm ALBEE 106 / ALBEE 100 |
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Distribution |
Mathematics &
Computing |
|
Cross-listed: Cognitive Science
This course will cover the basics of linear algebra
in n-dimensional 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 141-142 or
permission of the instructor.
Course |
MATH 261 Proofs and Fundamentals |
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Professor |
Lauren Rose |
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CRN |
97145 |
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Schedule |
Tu Th 10:30 – 11:50 am ALBEE 106 |
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Distribution |
Mathematics &
Computing |
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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 |
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Professor |
Greg Landweber |
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CRN |
97369 |
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Schedule |
Mon 6:00 -8:00 pm RKC 101 |
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Distribution |
Mathematics &
Computing |
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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 200-level
mathematics course or permission of the instructor.
Course |
MATH 316 Topics in Combinatorics |
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Professor |
Samuel Hsiao |
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CRN |
97517 |
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Schedule |
Tu Th 1:00 – 2:20 pm ALBEE
106 |
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Distribution |
Mathematics &
Computing |
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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 |
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Professor |
Greg Landweber |
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CRN |
97368 |
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Schedule |
Tu Th 10:30 - 11:50 am RKC 101 |
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Distribution |
Mathematics &
Computing |
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This course explores the mathematics of curved
spaces, particularly curved surfaces embedded in three-dimensional 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 Gauss-Bonnet 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 |
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Professor |
Mark Halsey |
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CRN |
97146 |
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Schedule |
Mon Wed 1:30 -2:50 pm RKC 101 |
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Distribution |
Mathematics &
Computing |
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The fundamental ideas of analysis in
one-dimensional 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.