These
two courses are not in the Division of Science, Mathematics, and Computing and
do not satisfy area or distribution credit.
91558 |
BLC 150 Algebra Workshop |
Matthew
Goodell |
. T . . . |
6:10 pm 8:10 pm |
HEG 204 |
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. This course will meet for the first 10 weeks
of the semester. Class size: 25
91559 |
BLC 190 Algebra, Trigonometry, Functions |
Matthew
Goodell |
. . W . . |
6:10 pm -8:10 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
91862 |
MATH 106 Mathematics and Politics |
John
Cullinan |
. T . Th . |
10:10 am -11:30 am |
HEG 102 |
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
91637 |
MATH 110 A 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
91634 |
MATH 131 A 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: Precalculus or the
equivalent. Class
size: 22
91643 |
MATH 141 A Calculus I |
Japheth
Wood |
M . W . . |
11:50 am-1:10 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: MATH 110 Precalculus
or the equivalent. Class size: 22
91645 |
MATH 141 B Calculus I |
Japheth
Wood |
. T . Th . |
1:30 pm -2:50 pm |
HEG 204 |
MATC |
See
above. Class size: 22
91629 |
MATH 141 C Calculus I |
Ethan
Bloch |
. T . Th . |
10:10 am -11:30 am |
HEG 106 |
MATC |
See
above. Class size: 22
91635 |
MATH 141 D Calculus I |
Ethan
Bloch |
. T . Th . |
1:30 pm -2:50 pm |
HEG 308 |
MATC |
See
above. Class size: 22
91630 |
MATH 142 A Calculus II |
Lauren
Rose |
. T . Th . |
11:50 am -1:10 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
91633 |
MATH 142 B Calculus II |
Jules
Albertini |
M . W . . |
3:10 pm-4:30 pm |
HEG 204 |
MATC |
See
above. Class size: 22
91638 |
MATH 213 A LINEAR ALGEBRA AND ORDINARY DIFFERENTIAL EQUATIONS |
Amir
Barghi |
M . W . . |
8:30 am -9:50 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
91639 |
MATH 213 B LINEAR ALGEBRA AND ORDINARY DIFFERENTIAL EQUATIONS |
Amir
Barghi |
M . W . . |
10:10 am -11:30 am |
RKC 101 |
MATC |
See
above. Class size: 18
91646 |
MATH 213 C LINEAR ALGEBRA AND ORDINARY DIFFERENTIAL EQUATIONS |
James
Belk |
. . W . F |
1:30pm – 2:50 pm |
RKC 102 |
MATC |
See
above. Class size: 18
91640 |
MATH 241 A Vector Calculus |
John
Cullinan |
. T . Th . |
8:30 am -9:50 am |
RKC 101 |
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
91631 |
MATH 261 Proofs and Fundamentals |
Lauren
Rose |
M . W . . |
1:30 pm -2:50 pm |
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: MATH 142 Calculus II, or permission of
instructor. Class size: 15
91992 |
MATH 323 DYNAMICAL SYSTEMS |
James
Belk |
. T . Th . |
1:30 pm –2:50 pm |
RKC 101 |
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.
Prerequisite: Mathematics 213 Linear Algebra Class
size: 15
91642 |
MATH 328 Probability |
Amir
Barghi |
. T . Th . |
10:10 am –11:30am |
ALBEE 106 |
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
91641 |
MATH 332 Abstract Algebra |
Japheth
Wood |
M . W . . |
3:10 pm -4:30 pm |
RKC 101 |
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
91636 |
MATH 361 Real Analysis |
Ethan
Bloch |
. T . Th . |
3:10 pm -4:30 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
91644 |
MATH 362 Complex Analysis |
John
Cullinan |
. T . Th . |
11:50 am -1:10 pm |
RKC 102 |
MATC |
This
course will cover the basic theory of functions of one complex variable. Topics
will include the geometry of
complex numbers, holomorphic and harmonic functions, Cauchy’s
theorem and its consequences, Taylor and Laurent series, singularities,
residues, elliptic functions and/or other topics as time permits.
Prerequisites: MATH 241 Vector Calculus, MATH 261 Proofs and Fundamentals, and
one prior 300-level mathematics course is recommended, or permission of the
instructor. Class size: 15