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These two learning commons courses do not carry divisional or distributional credit

 

18013

BLC 150

 Algebra Workshop

Maria Belk

       F 11:50 am   1:10 pm

HEG 308

(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

 

18014

BLC 190

 Algebra, Trigonometry, & Functions

Maria Belk

T            5:00 pm   7:00 pm

RKC 101

(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

 

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18075

MATH 102 A

 Elementary Statistics

Jules Albertini

M  W    1:30 pm-2:50 pm

HEG 102

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

 

18076

MATH 102 B

 Elementary Statistics

Jules Albertini

M  W    3:10 pm-4:30 pm

HEG 102

MC

MATC

See above. Class size: 24

 

18077

MATH 105 A

time, space and infinity:  Mathematical Perspectives on Philosophical Paradoxes

Steven Simon

M W     11:50 am-1:10 pm

HEG 102

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

 

18895

MATH 105 B

time, space and infinity:  Mathematical Perspectives on Philosophical Paradoxes

Steven Simon

M W     10:10 am-11:30 pm

HEG 106

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

 

18078

MATH 110

 Precalculus Mathematics

Matthew Goodell

 M  W   3:10 pm-4:30 pm

RKC 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

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18079

MATH 141 A

 Calculus I

Lauren Rose

 T  Th 10:10 am-11:30 am

 F  10:30 am   11:30 am

HEG 308

RKC 111

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

 

18080

MATH 141 B

 Calculus I

Lauren Rose

 T  Th 1:30 pm-2:50 pm

  F  11:45 am   12:45 pm

HEG 308

RKC 111

MC

MATC

See above. Class size: 20

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18081

MATH 142 A

 Calculus II

Stefan Mendez-Diez

M  W    1:30 pm-2:50 pm

RKC 101

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

 

18082

MATH 142 B

 Calculus II

Stefan Mendez-Diez

M  W    3:10 pm-4:30 pm

RKC 101

MC

MATC

See above.  Class size: 20

 

18579

MATH 209

PROBLEM SOLVING,   ENGAGEMENT AND THE CULTURE OF MATHEMATICS

Lauren Rose

     F    1:30 pm-2:50 pm

HEG 204

MC

MATC

2 credits  In this course students will explore problem solving techniques in mathematics, and use them to develop an engaging activity or project that involves serious ideas in mathematics and encourages the development of mathematical reasoning, analytical thinking, and open ended exploration. This course will also address the culture of mathematics, designing workshops to engage students of differing backgrounds and abilities.  Through readings and short written assignments, students will explore the factors that lead to fear and anxiety about mathematics and lower rates of participation by women and minorities in mathematics and other STEM fields. Class activities include guest speakers and visits to venues such as mathematics classrooms in local schools, Bard Math Circle events, and the National Museum of Mathematics, with an eye toward developing ways to bring math to the public in a serious and fun way.  This 2 credit course is recommended for any student who is eager to engage with mathematics outside the classroom, and to help create a more mathematically literate populace.  Math and science tutors, Bard Math Circle volunteers, and students interested in pursuing careers in STEM education may find this course of particular interest, but all students with a calculus background are welcome to join the class.

Prerequisite:  Math 142, or the equivalent. Class size: 20

 

18083

MATH 242

 Elementary Linear Algebra

Ethan Bloch

 T  Th 1:30 pm-2:50 pm

HEG 204

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

 

18085

MATH 245 B

 Intermediate Calculus

Steven Simon

M  W    3:10 pm-4:30 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

 

18086

MATH 261

 Proofs and Fundamentals

Ethan Bloch

 T  Th 3:10 pm-4:30 pm

HEG 204

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

 

18088

MATH 322

 Operations Research

Maria Belk

M  W      3:10 pm-4:30 pm

RKC 102

MC

MATC

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

 

18089

MATH 328

 Probability

Stefan Mendez-Diez

 T  Th 1:30 pm-2:50 pm

HEG 102

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

 

18091

MATH 361

 Real Analysis

James Belk

 T  Th 10:10 am-11:30 am

HEG 102

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

 

18092

MATH 362

 Complex Analysis

James Belk

 T  Th 3:10 pm-4:30 pm

HEG 308

MC

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: 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 or physics course is recommended,  Class size: 15

 

 

Cross-listed courses:

 

18040

BIO 244

 Biostatistics

Arseny Khakhalin

  W  F  1:30 pm-4:30 pm

RKC 111

MC

MATC

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

 

18575

EUS 226

ENVIRONMENTAL MODELING

Gautam Sethi

  T  Th 3:10 pm   4:30 pm

HDR 106

MA

MATC

Cross-listed: Economics; Mathematics.