|
91651 |
BLC 150 Algebra Workshop |
Maria Belk |
M .
. . . |
10:10am – 11:30am |
RKC 101 |
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 will be graded Pass/Fail. No
distributional credit is earned. Class size: 22
|
91652 |
BLC 190 Algebra, Trigonometry, Functions |
Maria Belk |
. T . . . |
5:00 pm -7:00 pm |
HEG 204 |
N/A |
(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 will be graded Pass/Fail. No distributional credit is earned. This course will meet for the first 10 weeks
of the semester. Class size: 25
****************************************************************************************************************************************************************************
|
92186 |
MATH 104 Data and Decisions |
Ethan Bloch |
T Th 3:10 pm-4:30 pm |
HEG 204 |
MC |
MATC |
This course examines applications of
mathematics to a number of topics related to data and decision-making. Topics
will be chosen from three relevant areas of mathematics: voting systems,
networks and statistics, all of which involve extracting information from
various types of data. There is no particular mathematical preparation needed
for this course beyond basic algebra, and a willingness to explore new ideas,
construct convincing arguments and use a spreadsheet. Prerequisite: passing score
on Part I of the Mathematics Diagnostic. Class
size: 22
|
91653 |
MATH 106 A Mathematics and Politics |
John Cullinan |
M W 8:30 am-9:50 am |
RKC 102 |
MC |
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
|
91654 |
MATH 106 B Mathematics and Politics |
John Cullinan |
M W 1:30 pm-2:50 pm |
RKC 102 |
MC |
MATC |
See above.
Class size: 22
|
91655 |
MATH 110 Precalculus Mathematics |
Maria Belk |
W F 10:10 am-11:30 am |
OLINLC 115 |
MC |
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. Prerequisite: passing
score on Part I of the Mathematics Diagnostic.
Class size: 22
|
91656 |
MATH 141 A Calculus I |
Stefan
Mendez-Diez |
M W 8:30 am-9:50 am |
HEG 204 |
MC |
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: MATH 110 Precalculus
or the equivalent. Class size: 22
|
91657 |
MATH 141 B Calculus I |
Japheth
Wood |
M W 1:30 pm-2:50 pm |
HEG 201 |
MC |
MATC |
See above. Class size: 22
|
91658 |
MATH 141 C Calculus I |
Ethan Bloch |
T Th 10:10 am-11:30 am |
HEG 102 |
MC |
MATC |
See above. Class size: 22
|
91659 |
MATH 141 D Calculus I |
Ethan Bloch |
T Th 1:30 pm-2:50 pm |
HEG 204 |
MC |
MATC |
See above.
Class size: 22
|
91660 |
MATH 142 A Calculus II |
Steven
Simon |
T Th 8:30 am-9:50 am |
RKC 101 |
MC |
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. Prerequisite: MATH 141
Calculus or the equivalent. Class size: 22
|
91661 |
MATH 142 B Calculus II |
Lauren
Rose |
T Th 10:10 am-11:30 am |
HEG 308 |
MC |
MATC |
See above. Class size: 22
|
91662 |
MATH 142 C Calculus II |
Lauren
Rose |
T Th 11:50 am-1:10 pm |
HEG 204 |
MC |
MATC |
See above. Class size: 22
|
91663 |
MATH 213 A Linear Algebra and Ordinary Differential Equations |
Amir Barghi |
M W 10:10 am-11:30 am |
HEG 308 |
MC |
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: MATH 142 Calculus II or
the equivalent. Class size: 18
|
91664 |
MATH 213 B Linear Algebra and Ordinary Differential Equations |
Amir Barghi |
M W 1:30 pm-2:50 pm |
HEG 204 |
MC |
MATC |
See above.
Class size: 18
|
91665 |
MATH 241 Vector Calculus |
James Belk |
T Th 3:10 pm-4:30 pm |
RKC 101 |
MC |
MATC |
This course investigates differentiation and
integration of vector-valued functions, and related topics in calculus. Topics
covered include vector-valued functions, gradients, the chain rule, Lagrange
multipliers, change of variables for multiple
integrals, line integrals, Green’s Theorem, Stokes’ Theorem, Divergence Theorem
and power series. Prerequisites: MATH
142 Calculus II and MATH 213 Linear Algebra w/ODEs or the equivalent. Class
size: 18
|
91666 |
MATH 261 A Proofs and Fundamentals |
Amir Barghi |
T Th 10:10 am-11:30 am |
HEG 106 |
MC |
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: MATH 142 Calculus II, or permission of instructor. Class
size: 15
|
92351 |
MATH 261 B Proofs and Fundamentals |
Japheth
Wood |
T Th 10:10 am-11:30 am |
ROSE 108 |
MC |
MATC |
See above.
|
92122 |
MATH 303 Computational Geometry |
Mary Krembs |
M 4:40 pm-7:00 pm |
HEG 308 |
MC |
MATC |
(2-credits,
first half of the semester) This
course will investigate the classic problems in computational geometry.
Computational geometry is a branch of mathematics and computer science devoted
to the study of algorithms and the appropriate data structures to solve
geometric problems on (often large) data sets. We will primarily be
focused on combinatorial computational geometry,
also called algorithmic geometry. Topics may include Voronoi
Diagrams, convex hull calculations, line segment
intersections and more. Prerequisites: MATH 213 (Linear Algebra and
Ordinary Differential Equations), Math 241 (Vector Calculus),some
programming knowledge, and either MATH 261 (Proofs and Fundamentals) or CMSC
201 (Data Structures) or permission of the instructor. Class
size: 16
|
91667 |
MATH 314 Mathematical Modeling |
James Belk |
T Th 11:50 am-1:10 pm |
HEG 308 |
MC |
MATC |
What is a mathematical model? And how can it
be used to help solve real world problems? This course will provide students
with a solid foundation in modeling and simulation, advancing understanding of
how to apply mathematical concepts and theory.
Topics may include modeling with Markov chains,
|
91668 |
MATH 317 Graph Theory |
Lauren
Rose |
M W 1:30 pm-2:50 pm |
HEG 308 |
MC |
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 CMSC 145 or
permission of the instructor. Class size: 15
|
92123 |
MATH 325 Geometry |
Mary Krembs |
M 4:40 pm-7:00 pm |
HEG 308 |
MC |
MATC |
(2
credits, Second half of the semester)
This course will sample topics
from the geometry of the plane, with a primary emphasis on the
synthetic approach to Euclidean geometry; other approaches (for
example, vector methods) and other types of geometry (for example,
hyperbolic or projective geometry) will be treated time permitting. Core topics
in Euclidean geometry include axioms, metrics, congruence, similarity,
polygons, triangles and circles. Prerequisites: MATH 213 (Linear Algebra
and Ordinary Differential Equations) and MATH 261 (Proofs and Fundamentals), or
permission of the instructor. Class size: 16
|
91669 |
MATH 328 Probability |
Stefan
Mendez-Diez |
M W 3:10 pm-4:30 pm |
RKC 101 |
MC |
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 213, or permission of
the instructor. Class size: 15
|
91670 |
MATH 332 Abstract Algebra |
Steven
Simon |
T Th 1:30 pm-2:50 pm |
RKC 101 |
MC |
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). Prerequisites: MATH 261 Proofs and
Fundamentals, and MATH 213 Linear Algebra w/ODEs, or
permission of the instructor. Class size: 15
|
91672 |
MATH 361 Real Analysis |
John Cullinan |
M W 10:10 am-11:30 am |
RKC 102 |
MC |
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
Course
cross-listed in Mathematics:
|
91616 |
BIO 244 Biostatistics |
Arseny
Khakhalin |
M W 1:30 pm-4:30 pm |
RKC 115 |
MC |
MATC |