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If you haven’t taken a math course at Bard yet, please take our Online Math Placement Diagnostic Test (Q test)

Go to http://math.bard.edu/mbelk/placement for instructions, or contact Maria Belk at mbelk@bard.edu.

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91521

ARC 150  Algebra Workshop

Maria Belk

. T . . .

7:00 -9:00 pm

RKC 115

 

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.

 

91522

ARC 190   Algebra, Trigonometry 

and Functions

Maria Belk

. . W . .

7:00 -9:00 pm

RKC 115

 

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.
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91010

MATH 106   Mathematics and Politics

John Cullinan

M . W . .

1:30 -2:50 pm

RKC 111

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: successful completion of the Q exam.

 

91009

MATH 110   Precalculus Mathematics

Mary Krembs

M . W . .

10:10 -11:30 am

RKC 102

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: successful completion of the Q exam and either solid algebra skills or concurrent enrollment in ARC 150.

 

91021

MATH 123   Statistics for Everyday Life

Cliona Golden

. T . Th .

8:30 -9:50 am

HEG 102

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.

 

91011

MATH 141 A  Calculus I

Gregory Landweber

. T . Th .

1:30 -2:50 pm

Olin L. C. 115

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.   

 

91012

MATH 141 B  Calculus I

Gregory Landweber

. T . Th .

3:10 – 4:30 pm

Heg 106

MATC

See description above.

 

91510

MATH 141 C  Calculus I

Gregory Landweber

. T . Th .

10:10 – 11:30 am

RKC 101

MATC

See description above.

 

91509

MATH 141 D  Calculus I

John Cullinan

M . W . .

3:10 – 4:30 pm

RKC 111

MATC

See description above.

 

91013

MATH 142 A  Calculus II

Lauren Rose

. T . Th .

1:30 -2:50 pm

Heg 106

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.  

 

91014

MATH 142 B  Calculus II

Cliona Golden

M . W . .

8:30 -9:50 am

HEG 102

MATC

See description above.

 

91015

MATH 142 C  Calculus II

Cliona Golden

M . W . .

10:10 - 11:30 am

HEG 106

MATC

See description above.

 

91016

MATH 211   Introduction to Differential Equations

Samuel Hsiao

M . W . .

3:10 -4:30 pm

RKC 101

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 permission of the instructor.

 

91017

MATH 212 A  Calculus III

Ethan Bloch

M . W . .

3:10 -4:30 pm

HEG 106

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 141 and 142 or the equivalent.   

 

91018

MATH 212 B  Calculus III

Samuel Hsiao

M . W . .

10:10 - 11:30 am

Albee 106

MATC

See description above.

 

91019

MATH 242   Elementary Linear Algebra

Lauren Rose

. T . Th .

10:10 - 11:30 am

Heg 106

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 141-142 or permission of the instructor.   

 

91020

MATH 261   Proofs and Fundamentals

James Belk

. T . Th .

11:50 -1:10 pm

RKC 101

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 141 and 142, or permission of instructor.     

 

91028

MATH 314   Modeling Realizable

Phenomena

Gidon Eshel

. T . Th .

10:10 - 11:30 am

RKC 100

MATC

In nearly every aspect of human knowledge--conceptual, qualitative, statistical, analytic, numerical--modeling plays a prominent role. Modeling strategies vary widely depending on the phenomenon being studied, the nature and type of the salient state variables, the problem's dimensions, and additional simplifying constraints. In this course, we will learn some  modeling approaches and styles, considering both situations when the governing equations are unknown, and when the governing equations are known but are imperfect.  Topics may include statistical modeling, timeseries, spatial modeling and kriging, modeling in terms of special complete sets, auto- and cross-correlation functions, Markov chains, differential equations, data assimilation and combining data with models.  Prerequisites: Mathematics 212 and Mathematics 242.

 

91072

MATH 317   Graph Theory

Maria Belk

. T . Th .

11:50 -1:10 pm

RKC 111

MATC

Graph theory is a branch of mathematics that has applications in areas ranging from operations research to biology.  This course is a survey of the theory and applications of graphs. Topics will be chosen from among connectivity, trees, Hamiltonian and Eulerian paths and cycles; isomorphism and reconstructability; planarity, coloring, color-critical graphs and the four-color theorem; intersection graphs, vertex and edge domination; matchings and network flows, matroids and their relationship with optimization, and random graphs.  Several applications of graph theory will be discussed in depth. Prerequisites:  Math 261 or permission of the instructor.   

 

91024

MATH 332   Abstract Algebra

John Cullinan

. T . Th .

1:30 -2:50 pm

RKC 101

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.

 

91026

MATH 351   Point Set Topology

James Belk

. T . Th .

3:10 -4:30 pm

RKC 101

MATC

An introduction to point set topology. Topics include metric spaces, compactness, connectedness, continuity, homeomorphisms, separation criteria, and possibly the fundamental group. Prerequisite: Mathematics 261 or permission of the instructor.

 

91025

MATH 361   Real Analysis

Ethan Bloch

M . W . .

1:30 -2:50 pm

HEG 106

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.    

 

91027

MATH 432   Advanced Topics in Abstract Algebra

Samuel Hsiao

. T . Th .

1:30 -2:50 pm

RKC 102

MATC

This course continues the study of abstract algebra begun in Math 332.  Topics are chosen by the instructor, and may include some additional group theory, Galois theory, modules, group representations, and commutative algebra.  Prerequisite: Mathematics 332 or permission of the instructor.