|
91840 |
BLC 150 Algebra Workshop |
Maria
Belk |
M . . . . |
7:00 pm -9:00 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
|
91841 |
BLC 190 Algebra, Trigonometry, Functions |
Maria
Belk |
. T. . . |
7:00 pm -9:00 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
****************************************************************************************************************************************************************************
|
91716 |
MATH 106 Mathematics and Politics |
John
Cullinan |
. . W . F |
10:10 am- 11:30 am |
RKC 101 |
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
|
91717 |
MATH 110 Precalculus Mathematics |
Jules
Albertini |
M . W . . |
3:10 pm -4:30 pm |
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
|
91718 |
MATH 132 Network Science |
Csilla
Szabo |
M . W . . |
10:10 am- 11:30 am |
HEG 204 |
MATC |
Cross-listed: Environmental & Urban Studies Networks are all around us!
From our social interactions to the neurons in our brains to financial markets,
we find network structure. Network science can help us to better understand how
these complex systems in our world work. This introductory course will cover
topics such as representations of a network as a graph or matrix, network
measures and classification of networks as small world, random or hierarchical.
We will investigate applications in biology, sociology, transportation,
ecology, epidemiology, as well as others.
Prerequisite:
MATH 110 Precalculus or the equivalent. Class
size: 22
|
91719 |
MATH 141 A Calculus I |
Mary
Krembs |
. T . Th . |
8:30 am -9:50 am |
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
|
91720 |
MATH 141 B Calculus I |
Mary
Krembs |
. T . Th . |
10:10am - 11:30 am |
HEG 102 |
MATC |
See
above. Class size: 22
|
91721 |
MATH 141 C Calculus I |
Amir
Barghi |
M . W . . |
1:30 pm -2:50 pm |
HEG 204 |
MATC |
See
above. Class size: 22
|
91722 |
MATH 141 D Calculus I |
Amir
Barghi |
M . W . . |
3:10 pm -4:30 pm |
HEG 204 |
MATC |
See
above. Class size: 22
|
91723 |
MATH 142 A Calculus II |
Csilla
Szabo |
. T . Th . |
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
|
91724 |
MATH 142 B Calculus II |
Csilla
Szabo |
. T . Th . |
3:10 pm -4:30 pm |
HEG 204 |
MATC |
See
above. Class size: 22
|
91726 |
MATH 213 A Linear Algebra w/ODEs |
Lauren
Rose |
. T . Th . |
8:30 am -9:50 am |
HEG 204 |
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
|
91727 |
MATH 213 B Linear Algebra w/ODEs |
Lauren
Rose |
. T . Th . |
10:10 am- 11:30 am |
HEG 204 |
MATC |
See
above. Class size: 18
|
92358 |
MATH 213 C
Linear algebra w/odes |
Lauren Rose |
M . W
. . |
10:10 am- 11:30 am |
HEG 308 |
MATC |
See
above. Class size: 18
|
91728 |
MATH 241 Vector Calculus |
Mary
Krembs |
. T . Th . |
1:30 pm – 2:50 pm |
RKC 111 |
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
|
91729 |
MATH 261 Proofs and Fundamentals |
Joe
Kirtland |
. T . Th . |
4:40 – 6:00 pm |
RKC 101 |
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
|
91730 |
MATH 317 Graph Theory |
Maria
Belk |
M . W . . |
3:10 pm -4:30 pm |
RKC 111 |
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
|
91731 |
MATH 323 Dynamical Systems |
James
Belk |
. T . Th . |
11:50 am -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.
Prerequisite: Mathematics 213 Linear Algebra w/ODEs Class size: 15
|
91732 |
MATH 328 Probability |
Amir
Barghi |
. T . Th . |
10:10 am- 11:30 am |
RKC 115 |
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
|
91778 |
MATH
/ PHIL 336 Philosophy of Mathematics |
John-Michael
Kuczynski |
M . . . . |
1:30 pm -3:50 pm |
OLIN 301 |
HUM |
See
Philosophy section for description.
|
92008 |
MATH 337 THE FUNDAMENTAL THEOREM OF Algebra |
Japheth
Wood |
. . W . . |
6:00 pm – 8:20 pm |
HEG 308 |
MATC |
This
course takes an advanced look at some topics in Abstract Algebra that are
relevant to school mathematics. The primary goal of the course is to develop a
proof of the Fundamental Theorem of Algebra along an approach initiated by Euler
and then refined by Foncenex and Lagrange in the 18th
century. Students will encounter many topics along the way, including the
historical development of algebra, mathematical induction in several forms, Dirichlet’s box principle, ring theory, symmetric
polynomials and Vičte’s theorem. Prerequisites: MATH 261 Proofs and
Fundamentals and a previous course in Abstract Algebra, or permission of the
instructor. Class size: 15
|
91734 |
MATH 352 Differential Geometry |
James
Belk |
. T . Th . |
3:10 pm -4:30 pm |
RKC 101 |
MATC |
This
course will use methods from multivariable calculus to study the geometry of
curves and surfaces in three dimensions. Topics covered will include curvature
and torsion of curves, geometry of surfaces, geodesics, spherical and
hyperbolic geometry, minimal surfaces, Gaussian curvature, and the Gauss-Bonnet
theorem. Time permitting, we may also discuss
applications to subjects such as cartography and navigation, shapes of soap
bubbles, computer graphics, image processing, and general relativity. Prerequisites:
Mathematics 241 Vector Calculus. Class size: 15
|
91735 |
MATH 361 Real Analysis |
John
Cullinan |
. . W . F |
1:30 pm -2:50 pm |
RKC 102 |
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