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

 

91558

BLC   150   

 Algebra Workshop

Matthew Goodell

. T  . . .

6:10 pm 8:10 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

 

91559

BLC   190   

 Algebra, Trigonometry, Functions

Matthew Goodell

. . W . .

6:10 pm -8:10 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

 

 

91862

MATH  106   

 Mathematics and Politics

John Cullinan

. T . Th .

10:10 am -11:30 am

HEG 102

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

 

91637

MATH  110   A

 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

 

91634

MATH  131   A

 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: Precalculus or the equivalent.  Class size: 22

 

91643

MATH  141   A

 Calculus I

Japheth Wood

M . W . .

11:50 am-1:10 pm

HEG 204

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

 

91645

MATH  141   B

 Calculus I

Japheth Wood

.  T . Th .

1:30 pm -2:50 pm

HEG 204

MATC

See above.  Class size: 22

 

91629

MATH  141   C

 Calculus I

Ethan Bloch

. T . Th .

10:10 am -11:30 am

HEG 106

MATC

See above.  Class size: 22

 

91635

MATH  141   D

 Calculus I

Ethan Bloch

. T . Th .

1:30 pm -2:50 pm

HEG 308

MATC

See above. Class size: 22

 

91630

MATH  142   A

 Calculus II

Lauren Rose

. T . Th .

11:50 am -1:10 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

 

91633

MATH  142   B

 Calculus II

Jules Albertini

M . W . .

3:10 pm-4:30 pm

HEG 204

MATC

See above.  Class size: 22

 

91638

MATH  213   A

 LINEAR ALGEBRA AND ORDINARY DIFFERENTIAL EQUATIONS

Amir Barghi

M . W . .

8:30 am -9:50 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

 

91639

MATH  213   B

 LINEAR ALGEBRA AND ORDINARY DIFFERENTIAL EQUATIONS

Amir Barghi

M . W . .

10:10 am -11:30 am

RKC 101

MATC

See above.  Class size: 18

 

91646

MATH  213   C

LINEAR ALGEBRA AND ORDINARY DIFFERENTIAL EQUATIONS

James Belk

. . W . F

1:30pm – 2:50 pm

RKC 102

MATC

See above.  Class size: 18

 

91640

MATH  241   A

 Vector Calculus

John Cullinan

. T . Th .

8:30 am -9:50 am

RKC 101

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

 

91631

MATH  261   

 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: MATH 142 Calculus II, or permission of instructor.   Class size: 15

 

91992

MATH  323 

 DYNAMICAL SYSTEMS

James Belk

. T . Th .

1:30 pm –2:50 pm

RKC 101

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   Class size: 15

 

91642

MATH  328   

 Probability

Amir Barghi

. T . Th .

10:10 am –11:30am

ALBEE 106

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

 

91641

MATH  332   

 Abstract Algebra

Japheth Wood

M . W . .

3:10 pm -4:30 pm

RKC 101

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

 

91636

MATH  361   

 Real Analysis

Ethan Bloch

. T . Th .

3:10 pm -4:30 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

 

91644

MATH  362   

 Complex Analysis

John Cullinan

. T . Th .

11:50 am -1:10 pm

RKC 102

MATC

This course will cover the basic theory of functions of one complex variable. Topics will include the geometry of  complex numbers, holomorphic and harmonic functions, Cauchy’s theorem and its consequences, Taylor and Laurent series, singularities, residues, elliptic functions and/or other topics as time permits. Prerequisites: MATH 241 Vector Calculus, MATH 261 Proofs and Fundamentals, and one prior 300-level mathematics course is recommended, or permission of the instructor.   Class size: 15