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BLC courses do
not satisfy area or distribution requirements.
91690 |
BLC
150
Algebra Workshop |
Maria
Belk |
. T . . . |
7:00 9:00 pm |
RKC 115 |
NONE |
(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. Class Size: 18
91691 |
BLC
190
Algebra, Trigonometry and
Functions |
Maria
Belk |
. . W .
. |
7:00 9:00 pm |
RKC 115 |
NONE |
(2
credits) This course is
designed for students who have taken a pre-calculus 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. Class
size: 18
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91445 |
MATH 106 Mathematics
and Politics |
John
Cullinan |
. T . Th . |
8:30 -9:50 am |
RKC 115 |
MATC |
This course considers applications of mathematics to
political science. Five major topics
will be covered: a model of escalatory
behavior, game-theoretic models of international conflict, yes-no 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: passing
score on Part I of the Mathematics Diagnostic. Class size: 22
91456 |
MATH 110 Precalculus
Mathematics |
Jules
Albertini |
M . W . , |
1:30 2:50 pm |
HEG 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: passing score on Part I of the
Mathematics Diagnostic. Class size: 22
91763 |
MATH 119A Chance |
Samuel
Hsiao |
M . W . . |
1:30 - 2:50 pm |
RKC 111 |
MATC |
The
mathematical theory of probability is useful for quantifying the uncertainty
that we face in everyday life. This course introduces basic ideas in discrete
probability and explores a wide range of practical applications such as
evaluating medical diagnostic tests, courtroom evidence, and data from surveys.
We will use algebra as a problem-solving tool throughout this course.
Prerequisite: passing score on Part I of the Mathematics Diagnostic. Class
size: 22
91764 |
MATH 119B Chance |
Samuel
Hsiao |
M . W . . |
3:10 - 4:30 pm |
RKC 111 |
MATC |
See
above.
91438 |
MATH 141
A
Calculus I |
Lauren
Rose |
M . W . . |
1:30 -2:50 pm |
HEG 204 |
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. Class size: 22
91440 |
MATH 141
B
Calculus I |
Branden
Stone |
. T . Th . |
10:10 -11:30 am |
HEG 204 |
MATC |
See
above. Class size: 22
91447 |
MATH 141
C
Calculus I |
Ethan
Bloch |
. T . Th . |
10:10 - 11:30 am |
HEG 308 |
MATC |
See
above. Class size: 22
91452 |
MATH 141
D
Calculus I |
Ethan
Bloch |
. T . Th . |
1:30 -2:50 pm |
HEG 204 |
MATC |
See
above. Class size: 22
91446 |
MATH 142
A
Calculus II |
Jennie
D'Ambroise |
. T . Th . |
10:10 - 11:30 am |
HEG 106 |
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.
Prerequisites: Mathematics 141 or the
equivalent. Class size: 22
91450 |
MATH 142
B
Calculus II |
Jennie
D'Ambroise |
. T . Th . |
11:50 -1:10 pm |
HEG 102 |
MATC |
See
above. Class size: 22
91437 |
MATH 213
A
Linear Algebra with Ordinary
Differential Equations |
James
Belk |
M . W . . |
11:50 -1:10 pm |
RKC 102 |
MATC |
This
course is an introduction to two fields of mathematics, linear algebra and
ordinary differential equations, that are of fundamental importance throughout mathematics
and its applications, and that are related by the important use of linear
algebra in the study of systems of linear differential equations. Topics in
linear algebra include n-dimensional Euclidean space, vectors, matrices, systems of linear equations,
determinants, eigen values and eigenvectors; topics in ordinary differential
equations include graphical methods, separable differential equations, higher
order linear differential equations, systems of linear differential equations
and applications. Prerequisite: Mathematics 142 or the equivalent. Class
size: 18
91441 |
MATH 213
B
Linear Algebra with Ordinary
Differential Equations |
James
Belk |
M . W . . |
3:10 -4:30 pm |
HEG 102 |
MATC |
See
above. Class size: 18
91872 |
MATH 213C Linear Algebra with Ordinary Differential Equations |
Jennie
D'Ambroise |
. . W . F |
10:10 - 11:30 am |
HEG 308 |
MATC |
See
above. Class size: 18
91448 |
MATH 261 Proofs and
Fundamentals |
Lauren
Rose |
M . . . . . . W . . |
10:10 - 11:30 am 9:10 - 11:30 am |
HEG 204 |
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 142, or permission of instructor. This is a writing intensive class. Class size: 14
91443 |
MATH 317 Graph
Theory |
Maria
Belk |
M . W . . |
3:10 -4:30 pm |
RKC 101 |
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, color-critical graphs and the four-color 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. Class
size: 15
91451 |
MATH 323 Dynamical
Systems |
James
Belk |
. T . Th . |
11:50 -1:10 pm |
RKC 111 |
MATC |
Cross-listed:
Mind, Brain & Behavior An
introduction to the theory of discrete dynamical systems. Topics to be covered
include iterated functions, bifurcations, chaos, fractals and fractal
dimension, complex functions, Julia sets, and the Mandelbrot set. We will make
extensive use of computers to model the behavior of dynamical systems. Prerequisites: Mathematics 212, and
Mathematics 213 or Mathematics 242. Class size: 15
91449 |
MATH 328 Probability |
Samuel
Hsiao |
. T . Th . |
10:10 - 11:30 am |
RKC 100 |
MATC |
A
calculus-based introduction to probability with an emphasis on computation and
applications. Topics include continuous and discrete random variables,
combinatorial methods, conditional probability, joint distributions,
expectation, variance, covariance, laws of large numbers, and the Central Limit
Theorem. Students will gain practical experience using mathematical software to
run probability simulations. Prerequisite: Mathematics 212 or Mathematics 241,
or permission of the instructor. Class
size: 15
91453 |
MATH 332 Abstract
Algebra |
Lauren
Rose |
. T . Th . |
1:30 -2:50 pm |
HEG 308 |
MATC |
An
introduction to modern abstract algebraic systems, including groups, rings,
fields and vector spaces. The course will focus primarily on a rigorous
treatment of the basic theory of groups (subgroups, quotient groups,
homomorphisms, isomorphisms, group actions) and vector spaces (subspaces,
bases, dimension, linear maps). Prerequisite: Mathematics 261, and Mathematics
213 or 242, or permission of the instructor.
Class size: 15
91454 |
MATH 333 Abstract
Algebra II |
John
Cullinan |
. T . Th . |
1:30 -2:50 pm |
RKC 101 |
MATC |
This
course is a continuation of Mathematics 332. After a review of group theory, we
will cover selected topics from ring, field and module theory. The second half
of the course will include applications to Representation Theory and/or Galois
Theory, as time permits. Prerequisite: Mathematics 332.
Class size: 15
91439 |
MATH 361 Real
Analysis |
Ethan
Bloch |
M . W . . |
1:30 -2:50 pm |
HEG 308 |
MATC |
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 and one prior 300-level mathematics course
is recommended, or permission of the
instructor. Class size: 15