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These two ARC courses do not satisfy area or distribution credit.

 

11650

ARC 150  Algebra Workshop

Maria Belk

 . T . . .

7:00 -9:00 pm

RKC 115

none

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: 20

 

11651

ARC 190   Algebra, Trigonometry 

and Functions

Maria Belk

. . W . .

7:00 -9:00 pm

RKC 115

none

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: 20

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11280

MATH 109   Introduction to Mathematical Modeling

Mary Krembs

. T . Th .

1:30  - 2:50 pm

HEG 204

MATC

Mathematical modeling is the process of using mathematics to describe and solve problems about real-world scenarios.  A mathematical model is a representation of a particular phenomenon using structures such as graphs, equations, or algorithms. This course presents the skills used in creating, interpreting and using mathematical models to solve real-world problems.  This course will focus on linear, polynomial or exponential models.  Precision of writing as well as careful use of algebraic manipulations will be stressed. Prerequisite: passing score on Part I of the Mathematics Diagnostic.  Class size: 24

 

11281

MATH 135   Game Theory

Maria Belk

. T . Th .

11:50  - 1:10 pm

HEG 204

MATC

Cross-listed:  Science, Technology & Society  In the twentieth century, the theory of games gained prominence for its application to the social sciences. Game theory is a mathematical approach to modeling situations of conflict whether real or theoretical. This course will introduce the student to this exciting area of mathematics. Using algebra and some analytical geometry, students will be able to explore the mathematical foundations of game theory. At the same time students will encounter a wide range of applications of the theory of games. Topics covered will be chosen from: zero sum games, nonzero sum games, pure and mixed strategies, von Neumann’s Minimax Theorem, Nash equilibria, and cooperative games. Prerequisities: Precalculus or the equivalent. Class size: 24

 

11282

MATH 141 A  Calculus I

Ethan Bloch

M . W . .

1:30  - 2:50 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: Precalculus or the equivalent. Class size: 24

 

11283

MATH 141 B  Calculus I

Ethan Bloch

M . W . .

3:10  - 4:30 pm

HEG 204

MATC

See above.  Class size: 24

 

11284

MATH 142 A  Calculus II

Mary Krembs

. T . Th .

11:50  - 1:10 pm

HEG 308

MATC

This course, a continuation of Calculus I, reinforces the fundamental ideas of the derivative and the definite integral.  Topics covered include L'Hopital's rule, integration techniques, improper integrals, volumes, arc length, sequences and series, power  series, continuous random variables, and separable differential equations.  Prerequisites:  Mathematics 141 or the equivalent. Class size: 24

 

11285

MATH 142 B  Calculus II

Jules Albertini

M . . . .

 . .W . .

3:10 – 4:30  pm

4:40 – 6:00 pm

HEG 102

MATC

See above.  Class size: 24

 

11286

MATH 211   Introduction to Differential Equations

John Cullinan

M . W . .

3:10  - 4:30 pm

HEG 308

MATC

Differential equations are widely used to model real phenomena, such as disease transmission or mechanical vibrations. This course is an introduction to ordinary differential equations and their many applications. The focus is on first- and second-order equations and first-order linear systems. Topics include analytical, graphical, and numerical methods, existence and uniqueness of solutions, and computer simulation. Applications will be selected from biology, physics, and other disciplines and will vary according to the instructor. Prerequisites: Mathematics 142 or the equivalent. Class size: 18

 

11287

MATH 212   Calculus III

Samuel Hsiao

M . W . .

1:30  - 2:50 pm

HEG 308

MATC

This course investigates differentiation and integration of multivariable functions. Topics covered include vectors, coordinate systems, vector valued functions, partial derivatives, gradients, Lagrange multipliers, multiple integrals, change of variables, line integrals, Green’s theorem, and Stoke’s theorem. Prerequisite: Mathematics 142 or the equivalent. Class size: 24

 

11288

MATH 242   Elementary Linear Algebra

Mark Halsey

. T . Th .

8:30  - 9:50 am

RKC 101

MATC

Cross-listed: Cognitive Science   This course will cover the basics of linear algebra in n-dimensional Euclidean space, including vectors, matrices, systems of linear equations, determinants, eigenvalues and eigenvectors, as well as applications of these concepts to the natural, physical and social sciences.  Equal time will be given to computational, applied, and theoretical aspects of the course material.  Prerequisite: Math 142 or permission of the instructor. Class size: 20

 

11289

MATH 261 A  Proofs and Fundamentals

Lauren Rose

. T . Th .

10:10  - 11:30 am

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: Mathematics 142 or permission of instructor. Class size: 15

 

11290

MATH 261 B  Proofs and Fundamentals

John Cullinan

M . W . .

10:10  - 11:30 am

RKC 101

MATC

See above.  Class size:  15

 

11291

MATH 319   Probability and Statistics

Samuel Hsiao

M . W . .

8:30  - 9:50 am

HEG 308

MATC

Everyday we make decisions based on numerical data in the face of uncertainty. We do so while reading the latest political polls, playing a card game, interpreting a medical diagnosis, or analyzing a scientific experiment. Probabilistic models and statistical methods help us to think through such decisions in a precise mathematical fashion. This course provides a calculus-based introduction to techniques and applications of probability and statistics. Topics considered will include random variables and their distributions, the Central Limit Theorem, hypothesis testing. Prerequisites: Math 212. Some knowledge of Linear Algebra is helpful. For students concentrating in economics, Math 319 can substitute for Economics 229. Class size: 15

 

11292

MATH 321   Partial Differential Equations

Gidon Eshel

M . W . .

3:10  - 4:30 pm

HEG 106

 

This course is an introduction to the theory of partial differential equations. The primary focus is the derivation and solutions of the main examples in the subject rather than on the existence and uniqueness theorems and higher analysis. Topics include hyperbolic and elliptic equations in several variables, Dirichlet problems, the Fourier and Laplace transform, Green's functions, and numerical and approximation methods. Prerequisites: Mathematics 211 and Mathematics 212.

Class size: 15

 

11293

MATH 323   Dynamical Systems

James Belk

. T . Th .

11:50  - 1:10 pm

RKC 101

MATC

Cross listed:  Cognitive Science  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.Prerequisites: Mathematics 212 and Mathematics 242.  Class size: 15

 

11294

MATH 332   Abstract Algebra

Lauren Rose

. T . Th .

1:30  - 2:50 pm

HEG 308

MATC

An introduction to modern abstract algebraic systems. The structures of groups, rings, and fields are studied together with the homomorphisms of these objects. Topics include equivalence relations, finite groups, group actions, integral domains, polynomial rings, and finite fields. Prerequisite: Mathematics 261 or permission of the instructor. Class size: 15

 

11295

MATH 335   Advanced Linear Algebra

Gregory Landweber

. T . Th .

10:10  - 11:30 am

RKC 101

MATC

This course covers the advanced theory of abstract vector spaces over arbitrary fields. It will start with a discussion of dual spaces, direct sums, quotients, tensor products, spaces of homomorphisms and endomorphisms, inner product spaces, and quadratic forms. It will then move on to multilinear algebra, discussing symmetric and exterior powers, before turning to the Jordan canonical form and related topics. Other more advanced topics may include Hilbert spaces, modules, algebras, and matrix Lie groups. Prerequisite: Mathematics 242. Co-requisite: Mathematics 332. Class size: 15

 

11296

MATH 361   Real Analysis

Gregory Landweber

. T . Th .

3:10  - 4:30 pm

RKC 111

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 or permission of the instructor.  Class size: 15

 

11297

MATH 461   Real Analysis II

James Belk

. T . Th .

3:10  - 4:30 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 Stokes’ Theorem.

Prerequisite: Mathematics 361. Class size: 12