15496 |
BLC 150 Algebra Workshop |
Maria
Belk |
. T . . . |
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: 22
15497 |
BLC 190 Algebra, Trigonometry, Functions |
Maria
Belk |
. . W . . |
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: 22
15582 |
ML
102 Uncertainty and Variation |
John
Cullinan |
M . W . . |
3:10pm-4:30pm |
RKC 200 |
N/A |
2 credits This is a non-technical introduction
to the ideas of statistics and how they are used and portrayed in politics,
science, economics, and the media. This
course will center around readings that convey the big
ideas of the subject with no mathematical prerequisites. By focusing on real-world case studies, we
will learn to critique the use and misuse of statistics in everyday life. The course meets twice a week during the
first seven weeks of the semester. This Modern Literacy course does not satisfy
the MATC distribution requirement. Class
size: 18
15849 |
MATH 107 TOPICS IN GEOMETRICAL MATHEMATICS |
Ethan
Bloch |
. T . Th . |
1:30pm-2:50pm |
HEG 308 |
MATC |
Geometrical
mathematics involves many topics other than traditional Euclidean geometry.
This course explores topics that vary from semester to semester and may include
some, but not all of the following: symmetry, groups, frieze and wallpaper
patterns, graphs, surfaces, knots, and higher dimensions. Prerequisite: passing
score on Part I of the Mathematics Diagnostic. Class size: 22.
15129 |
MATH 108 Secret Codes |
James
Belk |
. . W . F |
1:30pm-2:50pm |
ALBEE 100 |
MATC |
This
course is an introduction to cryptology, the science of sending, receiving, and
intercepting secret messages. We will study a variety of encryption methods,
including classical substitution and transposition ciphers, as well as more
modern methods such as symmetric-key algorithms and public-key cryptography. Though the focus will be on the mathematical
and computational aspects of encryption and codebreaking, we will also discuss
the history of secret messages and codes, the role of cryptology in modern
internet security, and public policy issues related to secure communication and
eavesdropping. Prerequisite: passing score on Part I of the Mathematics
Diagnostic. Class size: 18
15130 |
MATH 110 Precalculus Mathematics |
Mary
Krembs |
M . W . . |
8:30am-9:50am |
HEG 204 |
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
15131 |
MATH 132 Network Science |
Csilla
Szabo |
. T . Th . |
11:50am-1:10pm |
RKC 107 |
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
15132 |
MATH 141 A Calculus I |
Csilla
Szabo |
. T . Th . |
8:30am-9:50am |
RKC 102 |
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
15133 |
MATH 141 B Calculus I |
Csilla
Szabo |
M . W . . |
3:10pm-4:30pm |
HEG 204 |
MATC |
See
above. Class size: 22
15134 |
MATH 142 A Calculus II |
Amir
Barghi |
M . W . . |
8:30am-9:50am |
HEG 308 |
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
15135 |
MATH 142 B Calculus II |
Amir
Barghi |
. T . Th . |
11:50am-1:10pm |
RKC 102 |
MATC |
See
above. Class size: 22
15136 |
MATH 213 A Linear Algebra w/ODEs |
Ethan
Bloch |
. T . Th . |
1:30pm-2:50pm |
HEG 308 |
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
15137 |
MATH 213 B Linear Algebra w/ODEs |
Ethan
Bloch |
. T . Th . |
3:10pm-4:30pm |
HEG 308 |
MATC |
See
above. Class size: 18
15138 |
MATH 241 Vector Calculus |
Mary
Krembs |
M . W . . |
10:10am- 11:30am |
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
15139 |
MATH 261 A Proofs and Fundamentals |
Lauren
Rose |
. T . Th . |
10:10am- 11:30am |
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: MATH 142 Calculus II, or permission of
instructor. Class size: 15
15140 |
MATH 261 B Proofs and Fundamentals |
Amir
Barghi |
M . W . . |
1:30pm-2:50pm |
ALBEE 106 |
MATC |
See
above. Class size: 15
15141 |
MATH 311 Ordinary & Partial
Differential Equations |
John
Cullinan |
. . W . F |
1:30pm-2:50pm |
RKC 102 |
MATC |
This
course will cover topics in ordinary and partial differential equations,
including linear and nonlinear equations. The main focus is on first and second
order differential equations; higher order differential equations are also considered.
The course will be a mix of both theory and computation. Topics in ordinary
differential equations include systems of equations, phase plane portraits of
solutions, bifurcations, stability, and existence and uniqueness. Topics in
partial differential equations include boundary conditions, physical
applications and classifications of elliptic, parabolic and hyperbolic
equations.
Prerequisites: Math 213, or Math 242 plus some basic familiarity with
differential equations, or Math 211 plus some basic familiarity with linear
algebra, or permission of instructor. Class size: 15
15142 |
MATH 322 Operations Research |
Maria
Belk |
M . W . . |
3:10pm-4:30pm |
RKC 102 |
MATC |
Operations
research is the study of techniques for finding optimal solutions to complex
decision-making problems. It tries to answer questions such as how to schedule
classes with a limited number of classrooms on campus, how to determine a diet
that is both rich in nutrients and low in calories, or how create an investment
portfolio that meets investment needs. Techniques covered include linear
programming, network flows, integer/combinatorial optimization, and non-linear
programming. Prerequisite: MATH 213 Linear Algebra w/ODE's. Class
size: 15
15143 |
MATH 332 Abstract Algebra |
Lauren
Rose |
. T . Th . |
11:50am-1:10pm |
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
15144 |
MATH 351 Point Set Topology |
James
Belk |
. T . Th . |
3:10pm-4:30pm |
RKC 101 |
MATC |
An
introduction to point set topology. Topics include metric spaces, compactness,
connectedness, continuity, homeomorphisms, separation criteria, and possibly
the fundamental group. Prerequisite: Mathematics 261 or permission of the
instructor. Class size: 15
15145 |
MATH 432 Advanced Algebra |
John
Cullinan |
. . W . F |
10:10am- 11:30am |
HEG 300 |
MATC |
This course continues the study of abstract algebra
begun in Math 332. Topics are chosen by the
instructor, and may include some additional group theory, Galois theory, modules, group representations, and commutative
algebra. Prerequisite: Mathematics 332
or permission of the instructor. Class size: 12