91552

ARC 150 Algebra Workshop

Maria Belk

. T . . .

7:00 – 9:00 pm

RKC 115

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 meets for the first ten weeks of the semester, and it will be graded Pass/Fail.   No distributional credit is earned. Class size: 20

91553

ARC 190 Algebra, Trigonometry and Functions

Maria Belk

. . W . .

7:00 – 9:00 pm

RKC 115

N/A

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

91227

MATH 110 Precalculus Mathematics

Cliona Golden

. T . Th .

10:10 - 11:30 am

HEG 308 ALBEE 100

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 ARC 150. Prerequisites: passing score on Part I of the Mathematics Diagnostic. Class size: 24

91225

MATH 123 A Statistics for Everyday Life

Cliona Golden

M . W . .

10:10 - 11:30 am

HEG 102 ALBEE 100

MATC

Statistics is everywhere these days. It is used in the stock market, in weather forecasting, in medical studies, by insurance companies, in quality testing, and in many other areas. This course will introduce core ideas in statistical reasoning to enable you to make sense of and (in)validate the statistics you encounter in the media, in your classes, and in everyday life. Prerequisite: Precalculus or the equivalent. Class size: 24

91226

MATH 123 B Statistics for Everyday Life

Cliona Golden

M . W . .

3:10 -4:30 pm

HEG 204 ALBEE 100

MATC

See description above. Class size: 24

91228

MATH 141 A Calculus I

Jennie D'Ambroise

. . W . F

11:50 -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: Precalculus or the equivalent. Class size: 24

91229

MATH 141 B Calculus I

Jennie D'Ambroise

. . W . F

1:30 -2:50 pm

HEG 204

MATC

See description above. Class size: 24

91223

MATH 141 C Calculus I

Samuel Hsiao

M . W . .

8:30 -9:50 am

HEG 204

MATC

See description above. Class size: 24

91224

MATH 141 D Calculus I

Samuel Hsiao

M . W . .

10:10 - 11:30 am

HEG 204

MATC

See description above. Class size: 24

91230

MATH 142 A Calculus II

Ethan Bloch

M . W . .

1:30 -2:50 pm

HEG 102

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: 24

91231

MATH 142 B Calculus II

Ethan Bloch

M . W . .

3:10 -4:30 pm

HEG 308

MATC

See description above. Class size: 24

91232

MATH 142 C Calculus II

Gregory Landweber

. T . Th .

10:10 - 11:30 am

RKC 102

MATC

See description above. Class size: 24

91233

MATH 211 Intro:Differential Equations

Jennie D'Ambroise

. T . Th .

11:50 -1:10 pm

RKC 111

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 equivalent. Class size: 18

91234

MATH 212 A Calculus III

James Belk

M . W . .

11:50 -1:10 pm

RKC 102

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 Stokes’ theorem. Prerequisite: Mathematics 142 or the equivalent. Class size: 24

91235

MATH 212 B Calculus III

James Belk

M . W . .

3:10 -4:30 pm

RKC 101

MATC

See description above. Class size: 24

91236

MATH 242 Linear Algebra w/Applications

Gregory Landweber

. T . Th .

1:30 -2:50 pm

RKC 111

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

91237

MATH 261 Proofs and Fundamentals

Lauren Rose

. . W . F

1:30 -2:50 pm

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

91238

MATH 299 Problem Solving Seminar

Lauren Rose

. . . Th .

3:10 -4:30 pm

HEG 308

MATC

2 credits This course is an introduction to mathematical problem solving, designed for any student who has taken (or is taking concurrently) a mathematics course at the 200-level.  Students will work in groups to solve fun math problems that arise throughout the mathematics curriculum.  Most of the problems will be stated in terms of elementary combinatorics, geometry, algebra, number theory, and calculus.  We will also work on problems that arise in the context of a game or a puzzle.  Students will learn standard approaches and techniques to solving problems at varying levels of difficulty.  This course is graded Pass/Fail. Co-requisite:  Any math course at the 200 level or higher. Class size: 20

91239

MATH 316 Combinatorics

Samuel Hsiao

M . W . .

3:10 -4:30 pm

ALBEE 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

91240

MATH 322 Operations Research

Maria Belk

M . W . .

11:50 -1:10 pm

RKC 111

Operations research is the study of techniques for finding optimal solutions to complex decision-making problems. It tries to answer questions such as how to schedule classes with a limited number of classrooms on campus, how to determine a diet that is both rich in nutrients and low in calories, or how create an investment portfolio that meets investment needs. Techniques covered include linear programming, network flows, integer/combinatorial

optimization, and non-linear programming. Prerequisites: Mathematics 212 and Mathematics 242 Class size: 15

91241

MATH 332 Abstract Algebra

Ethan Bloch

M . W . .

10:10 - 11:30 am

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

91615

MATH 352 Differential Geometry

James Belk

. T . Th .

1:30 -2:50 pm

RKC 101

MATC

This course will use methods from multivariable calculus to study the geometry of curves and surfaces in three dimensions. Topics covered will include curvature and torsion of curves, geometry of surfaces, geodesics, spherical and hyperbolic geometry, minimal surfaces, Gaussian curvature, and the Gauss-Bonnet theorem. Time permitting, we may also discuss applications to subjects such as cartography and navigation, shapes of soap bubbles, computer graphics, image processing, and general relativity. Prerequisites: Mathematics 212, Mathematics 242, and Mathematics 261, or permission of the instructor. Class size: 15

91242

MATH 361 Real Analysis

Gregory Landweber

M . W . .

1:30 -2:50 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

91613

MATH 384 Computational Algebraic Geometry

Lauren Rose

. T . Th .

11:50 -1:10 pm

HEG 308

MATC

This course is an introduction to computational algebraic geometry and commutative algebra.  We will explore the idea of solving systems of polynomial equations by viewing the solutions to these systems as both algebraic and geometric objects.  We will also see how these objects can be manipulated using the Groebner basis algorithm.  This course will include a mixture of theory and computation as well as connections to other areas of mathematics and to computer science.  Prerequisite:  Math 332. Class size: 15