BARD LEARNING COMMONS COURSES: (courses do not carry divisional or distribution credit)

 

91808

BLC 150

 Algebra Workshop

Maria Belk

    F        11:50 am – 1:10 pm

RKC 111

(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

 

91807

BLC 190

 Algebra, Trigonometry, & Functions

Maria Belk

   T         5:00 pm – 7:00 pm

RKC 111

(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

 

 

 

92326

MATH 102

 ELEMENTARY STATISTICS

Maria Belk

 T  Th    3:10-4:30 pm

HEG 308

MC

MATC

The main focus of this course is to introduce core ideas in statistics that are needed to make sense of what is found in media outlets, online surveys, and scientific journals. Most concepts are introduced in a case-study fashion; statistical software will be used to analyze data and facilitate classroom discussions. The goal of this course is to foster statistical reasoning, and to assist in making informed conclusions about topics involving data. Intended for non-math majors.  Prerequisites: passing score on Part I of the Mathematics Diagnostic. Class size: 24

 

91924

MATH 104 A

 Data and Decisions

Ethan Bloch

 T  Th    10:10- 11:30 am

HEG 204

MC

MATC

This course examines applications of mathematics to a number of topics related to data and decision-making. Topics will be chosen from three relevant areas of mathematics: voting systems, networks and statistics, all of which involve extracting information from various types of data. There is no particular mathematical preparation needed for this course beyond basic algebra, and a willingness to explore new ideas, construct convincing arguments and use a spreadsheet. Prerequisite: passing score on Part I of the Mathematics Diagnostic. Class size: 22

 

92463

MATH 104 B

 Data and Decision

Ethan Bloch

 T  Th    3:10 – 4:30 pm

HEG 204

MC

MATC

This course examines applications of mathematics to a number of topics related to data and decision-making. Topics will be chosen from three relevant areas of mathematics: voting systems, networks and statistics, all of which involve extracting information from various types of data. There is no particular mathematical preparation needed for this course beyond basic algebra, and a willingness to explore new ideas, construct convincing arguments and use a spreadsheet. Prerequisite: passing score on Part I of the Mathematics Diagnostic. Class size: 22

 

92487

MATH 105

 TIME, SPACE, AND INFINITY: MATHEMATICAL PERSPECTIVES ON PHILOSOPHICAL PARADOXES

Steven Simon

M  W      3:10-4:30 pm

RKC 101

MC

MATC

Cross-listed: Experimental Humanities; Philosophy  If time is composed of moments with zero duration, is change an illusion? Beginning with Zeno’s ancient paradoxes, fundamental problems on the nature of time and space – and intimately related ones regarding infinity – have bedeviled thinkers through the contemporary period. This course will provide a beginner-friendly tour of some of mathematics’ most profound discoveries (irrational numbers, limits, uncountability) and the concerns (e.g., how can there be the “same” amount of whole numbers as there are fractions, yet “fewer” fractions than real numbers?) which arise in answering such intractable questions. Other than a working knowledge of basic algebra, the class requires only a willingness to explore new ideas and construct convincing arguments. Prerequisite: Passing score on Part I of the Mathematics Diagnostic. Class size: 22

 

91925

MATH 110 A

 Precalculus Mathematics

Lauren Rose

 T  Th    10:10-11:30 am

OLINLC 115

MC

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: 20

 

91926

MATH 110 B

 Precalculus Mathematics

Lauren Rose

 T  Th    3:10-4:30 pm

OLINLC 115

MC

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: 20

Class size: 20

 

91927

MATH 141 A

 Calculus I

TBA

 T  Th    1:30-2:50 pm

HEG 308

MC

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: 20

 

91928

MATH 141 B

 Calculus I

James Belk

M  W      3:10-4:30 pm

RKC 111

MC

MATC

See above.  Class size: 20

 

91929

MATH 141 C

 Calculus I

James Belk

M  W      10:10-11:30 am

HEG 204

MC

MATC

See above.  Class size: 20

 

91930

MATH 141 D

 Calculus I

Japheth Wood

 T  Th    10:10 am – 11:30 am

HEG 308

MC

MATC

See above.  Class size: 20

 

91931

MATH 142 A

 Calculus II

John Cullinan

M  W      8:30-9:50 am

HEG 308

MC

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: 20

 

91932

MATH 142 B

 Calculus II

John Cullinan

M  W      1:30-2:50 pm

RKC 111

MC

MATC

See above.  Class size: 20

 

91933

MATH 142 C

 Calculus II

Steven Simon

M  W      3:10-4:30 pm

RKC 101

MC

MATC

See above.   Class size: 20

 

91934

MATH 208

 Mathematics Seminar

Steven Simon

 T           12:00-1:00 pm

HEG 204

 

 

credit  This course exposes students to the broad range of ideas in modern mathematics through a series of weekly seminar talks given by visiting speakers and Bard faculty. Seminar talks may include subjects of current research interest as well as expository talks on topics not typically covered in Bard mathematics courses. The course is graded Pass/Fail and students are responsible for short follow-up assignments based on the talks. Prerequisite: At least one 200-level mathematics course. Class size: 20

 

91935

MATH 242

 Elementary Linear Algebra

Stefan Mendez-Diez

M  W      11:50 am – 1:10 pm

RKC 100

MC

MATC

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.  

Prerequisite: Math 142 or permission of the instructor.    Class size: 18

 

91936

MATH 245 A

 Intermediate Calculus

Ethan Bloch

 T  Th    1:30 pm – 2:50 pm

HEG 204

MC

MATC

This course continues the study of calculus begun in MATH 141-142.  Topics covered include double and triple integrals in curvilinear coordinates, sequences and series, power series, and an introduction to ordinary differential equations. Prerequisite: MATH 142 or permission of the instructor. 

Class size: 18

 

91938

MATH 261

 Proofs and Fundamentals

Steven Simon

M  W      1:30-2:50 pm

RKC 101

MC

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

 

91940

MATH 323

 Dynamical Systems

James Belk

 T  Th    1:30- 2:50 pm

RKC 107

MC

MATC

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 142 Calculus II, and at least one 200-level math course (e.g. MATH 242, 245, or PHYS 221), or permission of the instructor.   Class size: 15

 

91941

MATH 328

 Probability

TBA

M  W      3:10-4:30 pm

HEG 106

MC

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: A course in multivariable calculus (such as MATH 241, MATH 245, or PHYS 221)  or permission of the instructor.  Class size: 15

 

91942

MATH 332

 Abstract Algebra

Lauren Rose

 M   W    1:30-2:50 pm

HEG 308

MC

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 a course in linear algebra (MATH 213 or MATH 242),  or permission of the instructor.  Class size: 15

 

91943

MATH 361

 Real Analysis

John Cullinan

M  W      10:10-11:30 am

HEG 308

MC

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: MATH 261 (Proofs and Fundamentals) and a course in multivariable calculus (such as MATH 241, MATH 245, or PHYS 221), or permission of the instructor.  At least one other 300-level mathematics course is recommended,  Class size: 15

 

 

 

Cross-listed courses:

 

91889

BIO 244

 Biostatistics

Arseny Khakhalin

  W  F     1:30-4:30 pm

RKC 115

MC

MATC

Cross-listed: Environmental & Urban Studies; Global Public Health; Mathematics

 

91923

CMSC 352

 Machine Learning

Sven Anderson

M    F     8:30-9:50 am

RKC 107

MC

MATC

Cross-listed: Mathematics 

 

91955

PHYS 221

 Mathematical Methods I

Matthew Deady

M  W      8:30-9:50 am

     Th     1:30-2:50 pm

HEG 106

HEG 107

MC

MATC

Cross-listed: Mathematics