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These two Learning Commons courses do not satisfy area or distribution requirements.
11837 
BLC 150 Algebra Workshop 
Maria Belk 
. T . . . 
7:00 – 9:00 pm 
RKC 115 

(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 meets for the first ten weeks of the
semester, and it will be graded Pass/Fail. No distributional credit is
earned. Class Size: 18
11838 
BLC 190 Algebra, Trigonometry and Functions 
Maria Belk 
. . W . . 
7:00 – 9:00 pm 
RKC 115 

(2 credits) This
course is designed for students who have taken a precalculus 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 meets for the first
ten weeks of the semester, and will be graded Pass/Fail. No distributional credit
is earned. Class size: 18
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12159 
MATH 106 Mathematics
and Politics 
John Cullinan 
.
T . Th . 
11:50 am 1:10 pm 
RKC 101 
MATC 
This course considers applications of mathematics to political science. Five major topics will be covered: a model of escalatory behavior, gametheoretic models of international conflict, yesno 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
11398 
MATH 110 Precalculus
Mathematics 
Jules Albertini 
M . W . . 
1:30 pm 2:50 pm 
RKC 111 
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. Students who need to brush up on their algebra skills are encouraged to enroll concurrently in BLC 150. Prerequisites: passing score on Part I of the Mathematics Diagnostic. Class size: 22
11400 
MATH 131 Exploration
in Number Theory 
Lauren Rose 
M . W . . 
10:10am  11:30 am 
HEG 204 
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
11401 
MATH 141 A Calculus I 
John Cullinan 
. T . Th . 
8:30 am 9:50 am 
RKC 101 
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: Precalculus or the equivalent. Class size: 22
11402 
MATH 141 B Calculus I 
James Belk 
. T . Th . 
3:10 pm 4:30 pm 
RKC 115 
MATC 
See above. Class size: 22
11403 
MATH 142 A Calculus II 
Jennie D'Ambroise 
. T . Th . 
10:10am  11:30 am 
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. Prerequisites: Mathematics 141 or the equivalent. Class size: 22
11404 
MATH 142 B Calculus II 
Jennie D'Ambroise 
. T . Th . 
11:50 am 1:10 pm 
HEG 204 
MATC 
See above. Class size: 22
11839 
MATH 146 Statistics
and Data Analysis 
Samuel Hsiao 
. . W . F 
10:10am  11:30 am 
HEG 308 
MATC 
This course introduces the main ideas and methods of data analysis and statistical inference. Topics include graphical and numerical summaries of data, elementary probability, linear regression models, analysis of variance, and techniques of inference such as hypothesis tests and confidence intervals. Examples are drawn from the scientific literature and news sources. Students will gain experience analyzing real data sets through extensive use of statistical software. Prerequisites: Precalculus or equivalent. Class size: 20
11406 
MATH 213 A Linear Algebra w/ODEs 
Gregory Landweber 
M . W . . 
10:10am  11:30 am 
RKC 102 
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 ndimensional 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: Mathematics 142 or the equivalent. Class size: 18
11407 
MATH 213 B Linear Algebra w/ODEs 
Branden Stone 
. T . Th . 
10:10am  11:30 am 
HEG 308 
MATC 
See above. Class size: 18
11405 
MATH 241 Vector
Calculus 
Ethan Bloch 
. T . Th . 
1:30 pm 2:50 pm 
HEG 308 
MATC 
This course investigates differentiation and integration of vectorvalued functions, and related topics in calculus. Topics covered include vectorvalued 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: Mathematics 142 and Mathematics 213 or equivalent. Class size: 20
11408 
MATH 261 A 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: Mathematics 142, or permission of instructor. Class size: 14
11409 
MATH 261 B Proofs and Fundamentals 
Maria Belk 
. T . Th . 
3:10 pm 4:30 pm 
OLINLC 115 
MATC 
Se above. Class size: 14
11410 
MATH 311 Ordinary
and Partial Differential Equations 
Jennie D'Ambroise 
. . W . F 
10:10am  11:30 am 
RKC 101 
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
11411 
MATH 329 Mathematical
Statistics 
Samuel Hsiao 
. . W . F 
1:30 pm 2:50 pm 
HEG 308 
MATC 
This course is a calculusbased introduction to statistical theory and applications. Students will explore the mathematical ideas underlying common statistical methods and will gain experience analyzing real data. Core topics include estimation, confidence intervals, hypothesis testing, and regression. Additional topics vary by instructor and may include bootstrapping or nonparametric methods. Statistical software will be used extensively to perform simulations and data analyses. Prerequisites: Math 328 or Math 319. Class size: 15
11412 
MATH 332 Abstract
Algebra 
James Belk 
. T . Th . 
11:50 am 1:10 pm 
RKC 102 
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). Prerequisite: Mathematics 261, and Mathematics 213 or 242, or permission of the instructor. Class size: 15
11414 
MATH 351 Point Set
Topology 
Ethan Bloch 
. T . Th . 
3:10 pm 4:30 pm 
HEG 308 
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
11415 
MATH 363 Numerical
Real Analysis 
Gregory Landweber 
M . W . . 
3:10 pm 4:30 pm 
RKC 111 
MATC 
Some of the fundamental ideas of analysis in onedimensional Euclidean space are studied from both theoretical and computational perspectives. Topics covered include the foundations of the real numbers, sequences, series, power series, the derivative, and the Riemann integral. A focus will be on error estimates for numerical methods of approximating the roots, derivatives and integrals of real analytic functions, making use of Taylor series and Taylor's Theorem. This course satisfies the Real Analysis requirement of the Mathematics Program. Prerequisite: Mathematics 261 and one prior 300level mathematics course, or permission of the instructor. Class size: 15
11416 
MATH 399 Junior
Seminar 
Samuel Hsiao 
. . . Th . 
4:40 pm 6:00 pm 
HEG 308 

1 credit This course is designed to help students prepare for a senior project in mathematics via a variety of handson activities related to reading, doing and writing mathematics. There will be ten weekly meetings, each devoted to a different topic, including: how to read a mathematics paper; searching the mathematics literature; using LaTeX for writing a senior project; using computer programs such as Sage and Mathematica; and expository mathematical writing. The seminar culminates in the writing of a short expository work. The seminar is graded Pass/Fail. Prerequisite: At least one 300level Mathematics course. Class size: 15