These two learning commons (BLC) courses do not carry divisional or distributional credit.

 

16281

BLC†† 150

Algebra Workshop

Maria Belk

M .. . .

11:50 am Ė 1:10 pm

HEG 308

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.Class size: 22

 

16282

BLC†† 190

Algebra, Trigonometry, Functions

Maria Belk

. T . . .

5:00 pm -7:00 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

 

 

16332

MATH 102

Elementary Statistics

Jules Albertini

M W ††† 1:30 pm-2:50 pm

HEG 102

MATC

Students and the instructor choose serious applications of probability and statistics as the focus of the course. Concepts in probability and statistics are developed to the extent necessary to understand the applications. Most topics are introduced in a case-study fashion, usually by reading an article in a current periodical such as the New York Times. Other examples are drawn from journals such as Chance, Nature, Science, and Scientific American. Primary reading is supplemented by readings on basic probability and statistics. The goal is to enable the student to make critical judgments and come to informed conclusions about current issues involving chance. Prerequisite: passing score on Part I of the Mathematics Diagnostic. Class size: 24

 

16074

MATH 110

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

 

16603

MATH 131

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: passing score on Part I of the Mathematics Diagnostic. Class size: 22

 

16075

MATH 141 A

Calculus I

Matthew Goodell

W F†††† 11:50 am-1:10 pm

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

 

16076

MATH 141 B

Calculus I

John Cullinan

M W ††† 8:30 am-9:50 am

RKC 101

MATC

See above.Class size: 22

 

16077

MATH 142 A

Calculus II

Japheth Wood

M W ††† 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

 

16078

MATH 142 B

Calculus II

Japheth Wood

T Th †† 1:30 pm-2:50 pm

HEG 204

MATC

See above.Class size: 22

 

16079

MATH 213 A

LINEAR ALGEBRA AND ORDINARY DIFFERENTIAL EQUATIONS

John Cullinan

M W ††† 10:10 am-11:30 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

 

16080

MATH 213 B

Linear Algebra/Ord Diff Equatn

Amir Barghi

T Th †† 8:30 am-9:50 am

HEG 308

MATC

See above.Class size: 18

 

16081

MATH 241

Vector Calculus

Ethan Bloch

T Th †† 3:10 pm-4:30 pm

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, Greenís Theorem, Stokesí Theorem, Divergence Theorem and power series.Prerequisites: MATH 142 Calculus II and MATH 213 Linear Algebra w/ODEs or the equivalent. Class size: 18

 

16082

MATH 261 A

Proofs and Fundamentals

Ethan Bloch

T Th †† 1:30 pm-2:50 pm

HEG 201

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

 

16084

MATH 316

Combinatorics

Maria Belk

T Th †† 3:10 pm-4:30 pm

RKC 115

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: 12

 

16085

MATH 318

Number Theory

James Belk

M W ††† 3:10 pm-4:30 pm

RKC 101

MATC

This is a proofs-based introduction to the theory of numbers and covers the fundamentals of quadratic number fields.  Topics include factorization, class group, unit group, Diophantine approximation, zeta functions, and applications to cryptography.Prerequisites: Math 261 Class size: 15

 

16087

MATH 332

Abstract Algebra

Amir Barghi

T Th †† 1:30 pm-2:50 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).  Prerequisites: MATH 261 Proofs and Fundamentals, and MATH 213 Linear Algebra w/ODEs,or permission of the instructor.Class size: 15

 

16088

MATH 361

Real Analysis

Lauren Rose

T Th †† 11:50 am-1:10 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

 

16089

MATH 461

Real Analysis II

James Belk

T Th †† 11:50 am-1:10 pm

RKC 101

MATC

This course continues the study of real analysis begun in Math 361.  Topics include functions of several variables, metric spaces, Lebesgue measure and integration, and, time permitting, additional topics such as the Inverse and Implicit Function Theorems, differential forms and Stokesí Theorem.

Prerequisite: Mathematics 361. Class size: 12