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These
two ARC courses do not satisfy area or distribution credit.
11650 |
ARC 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. No distributional credit is earned. Class size: 20
11651 |
ARC 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 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. Class
size: 20
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11280 |
MATH 109 Introduction to Mathematical Modeling |
Mary Krembs |
. T . Th . |
1:30 - 2:50 pm |
HEG 204 |
MATC |
Mathematical modeling is the process of using
mathematics to describe and solve problems about real-world scenarios. A
mathematical model is a representation of a particular phenomenon using
structures such as graphs, equations, or algorithms. This course presents the
skills used in creating, interpreting and using mathematical models to solve
real-world problems. This course will focus on linear, polynomial or
exponential models. Precision of writing as well as careful use of
algebraic manipulations will be stressed. Prerequisite: passing score on Part I
of the Mathematics Diagnostic. Class size: 24
11281 |
MATH 135 Game Theory |
Maria Belk |
. T . Th . |
11:50 - 1:10 pm |
HEG 204 |
MATC |
Cross-listed:
Science, Technology & Society In the twentieth century, the theory of
games gained prominence for its application to the social sciences. Game theory
is a mathematical approach to modeling situations of conflict whether real or
theoretical. This course will introduce the student to this exciting area of
mathematics. Using algebra and some analytical geometry, students will be able
to explore the mathematical foundations of game theory. At the same time
students will encounter a wide range of applications of the theory of games.
Topics covered will be chosen from: zero sum games, nonzero sum games, pure and
mixed strategies, von Neumann’s Minimax Theorem, Nash equilibria, and
cooperative games. Prerequisities: Precalculus or the equivalent. Class size: 24
11282 |
MATH 141
A Calculus I |
Ethan Bloch |
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: 24
11283 |
MATH 141
B Calculus I |
Ethan Bloch |
M . W . . |
3:10 - 4:30 pm |
HEG 204 |
MATC |
See above. Class size: 24
11284 |
MATH 142
A Calculus II |
Mary Krembs |
. T . Th . |
11:50 - 1:10 pm |
HEG 308 |
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. Class
size: 24
11285 |
MATH 142
B Calculus II |
Jules Albertini |
M . . . . . .W . . |
3:10 – 4:30 pm 4:40 – 6:00 pm |
HEG 102 |
MATC |
See above. Class size: 24
11286 |
MATH 211 Introduction to Differential Equations |
John Cullinan |
M . W . . |
3:10 - 4:30 pm |
HEG 308 |
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 second-order equations and first-order
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 the equivalent. Class size: 18
11287 |
MATH 212 Calculus III |
Samuel Hsiao |
M . W . . |
1:30 - 2:50 pm |
HEG 308 |
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 142 or the equivalent. Class size: 24
11288 |
MATH 242 Elementary Linear Algebra |
Mark Halsey |
. T . Th . |
8:30 - 9:50 am |
RKC 101 |
MATC |
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 142
or permission of the instructor. Class
size: 20
11289 |
MATH 261
A Proofs and Fundamentals |
Lauren Rose |
. T . Th . |
10:10 - 11:30 am |
HEG 308 |
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. Class size: 15
11290 |
MATH 261
B Proofs and Fundamentals |
John Cullinan |
M . W . . |
10:10 - 11:30 am |
RKC 101 |
MATC |
See above. Class size: 15
11291 |
MATH 319 Probability and Statistics |
Samuel Hsiao |
M . W . . |
8:30 - 9:50 am |
HEG 308 |
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 calculus-based 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. Class size: 15
11292 |
MATH 321 Partial Differential Equations |
Gidon Eshel |
M . W . . |
3:10 - 4:30 pm |
HEG 106 |
|
This course is an introduction to the theory of
partial differential equations. The primary focus is the derivation and
solutions of the main examples in the subject rather than on the existence and
uniqueness theorems and higher analysis. Topics include hyperbolic and elliptic
equations in several variables, Dirichlet problems, the Fourier and Laplace
transform, Green's functions, and numerical and approximation methods.
Prerequisites: Mathematics 211 and Mathematics 212.
Class
size: 15
11293 |
MATH 323 Dynamical Systems |
James Belk |
. T . Th . |
11:50 - 1:10 pm |
RKC 101 |
MATC |
Cross
listed: Cognitive Science 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 242. Class
size: 15
11294 |
MATH 332 Abstract Algebra |
Lauren Rose |
. T . Th . |
1:30 - 2:50 pm |
HEG 308 |
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. Class size: 15
11295 |
MATH 335 Advanced Linear Algebra |
Gregory Landweber |
. T . Th . |
10:10 - 11:30 am |
RKC 101 |
MATC |
This course covers the advanced theory of abstract
vector spaces over arbitrary fields. It will start with a discussion of dual
spaces, direct sums, quotients, tensor products, spaces of homomorphisms and
endomorphisms, inner product spaces, and quadratic forms. It will then move on
to multilinear algebra, discussing symmetric and exterior powers, before
turning to the Jordan canonical form and related topics. Other more advanced
topics may include Hilbert spaces, modules, algebras, and matrix Lie groups. Prerequisite:
Mathematics 242. Co-requisite: Mathematics 332. Class size: 15
11296 |
MATH 361 Real Analysis |
Gregory Landweber |
. T . Th . |
3:10 - 4:30 pm |
RKC 111 |
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 or permission of the instructor. Class size: 15
11297 |
MATH 461 Real Analysis II |
James Belk |
. T . Th . |
3:10 - 4:30 pm |
RKC 101 |
MATC |
This course continues the study of real analysis
begun in Math 361. Topics include functions of several variables, metric
spaces, Lebesgue measure and integration, and, time permitting, additional topics
such as the Inverse and Implicit Function Theorems, differential forms and
Stokes’ Theorem.
Prerequisite: Mathematics 361. Class size: 12