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These two courses are not in the Division of Science, Mathematics, and Computing and do not satisfy area or distribution credit.

 

91812

BLC 150 Algebra Workshop

Maria Belk

. T . . .

7:00 9:00 pm

HEG 204

 

(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

 

91813

BLC 190 Algebra, Trigonometry

and Functions

Maria Belk

. . W . .

7:00 9:00 pm

HEG 204

 

(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 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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91550

MATH 106 A Mathematics and Politics

John Cullinan

. T . Th .

8:30 -9:50 am

RKC 115

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

 

91551

MATH 106 B Mathematics and Politics

John Cullinan

. T . Th .

1:30 -2:50 pm

RKC 115

MATC

See above. Class size: 22

 

91552

MATH 110 Precalculus Mathematics

Maria Belk

M . W . F

1:30 2:50 pm

RKC 101

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 Precalculus skills are encouraged to enroll concurrently in BLC 150. Prerequisites: passing score on Part I of the Mathematics Diagnostic. This course will meet for 10 weeks, September 2 November 8. Class size: 22

 

92307

MATH 131 Exploration in Number Theory

Lauren Rose

. T . Th .

8:30 9:50 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

 

91553

MATH 141 A Calculus I

Csilla Szabo

. T . Th .

10:10 - 11:30 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

 

91554

MATH 141 B Calculus I

Csilla Szabo

. T . Th .

1:30 -2:50 pm

HEG 308

MATC

See above. Class size: 22

 

91555

MATH 141 C Calculus I

Amir Barghi

M . W . .

10:10 - 11:30 am

HEG 204

MATC

See above. Class size: 22

 

91556

MATH 141 D Calculus I

Amir Barghi

M . W . .

1:30 -2:50 pm

RKC 115

MATC

See above. Class size: 22

 

91557

MATH 142 A Calculus II

Ethan Bloch

M . W . .

10:10 - 11:30 am

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.  Prerequisites: Mathematics 141 or the equivalent. Class size: 22

 

91558

MATH 142 B Calculus II

Ethan Bloch

M . W . .

1:30 -2:50 pm

HEG 308

MATC

See above. Class size: 22

 

91559

MATH 142 C Calculus II

Csilla Szabo

. T . Th .

3:10 -4:30 pm

HEG 308

MATC

See above. Class size: 22

 

91560

MATH 213A Linear Algebra w/ODEs

Gregory Landweber

. T . Th .

11:50 -1:10 pm

RKC 111

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: Mathematics 142 or the equivalent. Class size: 18

 

91561

MATH 213B Linear Algebra w/ODEs

Gregory Landweber

. T . Th .

1:30 -2:50 pm

RKC 102

MATC

See above. Class size: 18

 

91562

MATH 241 Vector Calculus

Branden Stone

. T . Th .

3:10 -4:30 pm

OLINLC 115

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, Greens Theorem, Stokes Theorem, Divergence Theorem and power series. Prerequisites: Mathematics 142 and Mathematics 213 or equivalent. Class size: 20

 

91563

MATH 261 Proofs and Fundamentals

Lauren Rose

. T . Th .

11:50 -1:10 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: 15

 

91564

MATH 316 Combinatorics

Amir Barghi

. T . Th .

1:30 -2:50 pm

HEG 106

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: 15

 

91565

MATH 328 Probability

Samuel Hsiao

. . W . F

10:10 - 11:30 am

RKC 101

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 241, or permission of the instructor. Class size: 15

 

91566

MATH 332 Abstract Algebra

Ethan Bloch

M . W . .

3:10 -4:30 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).  Prerequisite: Mathematics 261, and Mathematics 213 or 242, or permission of the instructor. Class size: 15

 

91567

MATH 340 Coding Theory

Gregory Landweber

. . W . F

10:10 11:30 am

ALBEE 100

MATC

The digital transmission of information is considered to be extremely reliable, and yet it suffers from the same sorts of interference, corruption, and data loss that plague analog transmission. The reliability of digital transmission comes from the use of sophisticated techniques that encode the digital data so that errors can be easily detected and corrected. This theory of error correcting codes, while having broad applications ranging from CDs to the internet to high definition television, requires some surprisingly beautiful mathematics. We will interpret strings of bits as vectors in an abstract vector space, which allows us to manipulate binary data using linear algebra over finite fields. This class will introduce students to the basics of error correcting codes, as well as touching on the mathematics of data compression and encryption. If time permits, we will also discuss quantum error correction. Although this course will mention encryption, the emphasis will NOT be on cryptography. This course will not involve any programming. Prerequisites: Math 332. Class size: 15

 

91568

MATH 361 Real Analysis

John Cullinan

. T . Th .

10:10 - 11:30 am

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