These two learning commons (BLC)
courses do not carry divisional or distributional credit.
16281 |
BLC 150 Algebra Workshop |
Maria Belk |
M .
. . . |
11:50 am – 1:10 pm |
HEG 308 |
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
16282 |
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: 22
16332 |
MATH 102 Elementary Statistics |
Jules Albertini |
M
W 1:30 pm-2:50 pm |
HEG 102 |
MATC |
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: passing score
on Part I of the Mathematics Diagnostic. Class
size: 24
16074 |
MATH 110 Precalculus Mathematics |
Matthew Goodell |
W F 10:10 am-11:30 am |
HEG 308 |
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
16603 |
MATH
131 EXPLORATION IN NUMBER THEORY |
Lauren Rose |
T Th 10:10 am-11:30
am |
HEG 308 |
MATC |
This course will provide an overview of one of the
oldest and most beautiful areas of mathematics. It is ideal for any student who
wants a taste of mathematics outside of the calculus sequence. Topics may
include: number puzzles, prime numbers, congruences,
quadratic reciprocity, sums of squares, Diophantine equations, cryptography,
coding theory, and continued fractions.
Prerequisite: passing
score on Part I of the Mathematics Diagnostic. Class size: 22
16075 |
MATH 141 A Calculus I |
Matthew Goodell |
W F 11:50 am-1:10 pm |
HEG 308 |
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
16076 |
MATH 141 B Calculus I |
John Cullinan |
M
W 8:30 am-9:50 am |
RKC 101 |
MATC |
See above. Class
size: 22
16077 |
MATH 142 A Calculus II |
Japheth Wood |
M
W 1:30 pm-2:50 pm |
HEG 204 |
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
16078 |
MATH 142 B Calculus II |
Japheth Wood |
T Th 1:30 pm-2:50 pm |
HEG 204 |
MATC |
See above. Class
size: 22
16079 |
MATH 213 A LINEAR ALGEBRA AND ORDINARY
DIFFERENTIAL EQUATIONS |
John Cullinan |
M
W 10:10 am-11:30 am |
RKC 101 |
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
16080 |
MATH 213 B Linear Algebra/Ord Diff
Equatn |
Amir Barghi |
T Th 8:30 am-9:50 am |
HEG 308 |
MATC |
See above. Class
size: 18
16081 |
MATH 241 Vector Calculus |
Ethan Bloch |
T Th 3:10 pm-4:30 pm |
HEG 308 |
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
16082 |
MATH 261 A Proofs and Fundamentals |
Ethan Bloch |
T Th 1:30 pm-2:50 pm |
HEG 201 |
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
16084 |
MATH 316 Combinatorics |
Maria Belk |
T Th 3:10 pm-4:30 pm |
RKC 115 |
MATC |
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. Class size: 12
16085 |
MATH 318 Number Theory |
James Belk |
M
W 3:10 pm-4:30 pm |
RKC 101 |
MATC |
This is a proofs-based
introduction to the theory of numbers and covers the fundamentals of quadratic
number fields. Topics include factorization, class group, unit group,
Diophantine approximation, zeta functions, and applications to cryptography. Prerequisites: Math 261 Class size: 15
16087 |
MATH 332 Abstract Algebra |
Amir Barghi |
T Th 1:30 pm-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). Prerequisites: MATH 261 Proofs and Fundamentals, and MATH 213 Linear
Algebra w/ODEs, or
permission of the instructor. Class size: 15
16088 |
MATH 361 Real Analysis |
Lauren Rose |
T Th 11:50 am-1:10 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
16089 |
MATH 461 Real Analysis II |
James Belk |
T Th 11:50 am-1:10 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