If you havenít taken a math course at Bard yet, please take our Online Math Placement Diagnostic Test.Go to http://math.bard.edu/mbelk/placementfor instructions, or contact Maria Belk at mbelk@bard.edu.

 

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11580

ARC 150†† Algebra Workshop

Maria Belk

M . . . .

7:00 Ė 9:00 pm

RKC 115

N/A

2 creditsThis 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.

 

11581

ARC 190†† Algebra, Trigonometry

and Functions

Maria Belk

. T . . .

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

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11449

MATH 107†† Topics in Geometrical Math

Ethan Bloch

M . W . .

1:30 -2:50 pm

HEG 102

MATC

Geometrical mathematics involves many topics other than traditional Euclidean geometry. This course explores topics that vary from semester to semester and may include some, but not all of the following: symmetry, groups, frieze and wallpaper patterns, graphs, surfaces, knots, and higher dimensions. Prerequisite: eligibility for Q courses and a willingness to explore new ideas and construct convincing arguments is a necessity.

 

11055

MATH 110†† Precalculus Mathematics

Mary Krembs

. . W . F

12:00 -1:20 pm

OLINLC 115

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.Prerequisites: eligibility for Q-courses and either solid algebra skills or concurrent enrollment in ARC 150.†††

 

11813

MATH 131   Exploration in Number Theory

Samuel Hsiao

M .  W . .

1:30 - 2:50 pm

RKC 102

MATC

This course will provide an overview of one of the oldest and most beautiful areas of mathematics. It is ideal for any student who wants a taste of mathematics outside of the calculus sequence. Topics may include: number puzzles, prime numbers, congruences, quadratic reciprocity, sums of squares, Diophantine equations, cryptography, coding theory, and continued fractions.  Prerequisite: Calculus background or very strong Precalculus background.

 

11058

MATH 141 ACalculus I

Jules Albertini

M . . . .

3:00 -4:20 pm

HEG 106

MATC

 

 

 

. . W . .

4:30 -5:50 pm

HEG 106

 

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. ††

 

11059

MATH 141 BCalculus I

Gregory Landweber

. T . Th .

2:30 -3:50 pm

RKC 111

MATC

See above.

 

11061

MATH 142 ACalculus II

John Cullinan

M . W . .

1:30 -2:50 pm

RKC 101

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, powerseries, continuous random variables, and separable differential equations.Prerequisites: Mathematics 141 or the equivalent.

 

11062

MATH 142 BCalculus II

Cliona Golden

. T . Th .

1:00 -2:20 pm

HEG 106

MATC

See above.

 

11063

MATH 212 ACalculus III

Ethan Bloch

M . W . .

3:00 -4:20 pm

HEG 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, Greenís theorem, and Stokeís theorem. Prerequisite: Mathematics 141 and 142 or the equivalent. ††

11064

MATH 242 ALinear Algebra with Applications

Mary Krembs

. T . Th .

10:30 - 11:50 am

HEG 102

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. ††

 

11065

MATH 242 BLinear Algebra with Applications

Mary Krembs

. T . Th .

1:00 -2:20 pm

HEG 102

MATC

See above.

 

11066

MATH 261 AProofs and Fundamentals

Gregory Landweber

. T . Th .

1:00 -2:20 pm

RKC 111

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.†† ††

 

11067

MATH 261 BProofs and Fundamentals

Samuel Hsiao

. . W . F

10:30 - 11:50 am

RKC 101

MATC

See above.

 

11451

MATH 313†† Data Analysis: Getting the

Extra Rigor

Gidon Eshel

. T . Th .

1:00 -2:20 pm

RKC 102

MATC

This course is designed to provide the computational, algebraic and statistical tools needed to understand and make contributions in empirical science. The main focus is multi-dimensional data, data that typically are a function of space and time. Because the number of space points, M, is in general distinct from the number of time points, N, the resultant M x N data matrices have no eigen representation. What inferences can be gleaned from such datasets?   What techniques are best employed for answering your questions of interest?  What does failure look like when these criteria are NOT met?  After a solid linear algebra review, topics covered will comprise covariance and cross-covariance functions and matrices, spanning sets, spectral representations and truncations, discrete vs. continuous spectra and the real number continuum, singular value decomposition (the algebraic machinery and the data analytic tool) and Monte Carlo techniques.  Prerequisites: Mathematics 212 and Mathematics 242.

 

11452

MATH 316†† Combinatorics

Maria Belk

M . W . .

1:30 -2:50 pm

HEG 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.

 

11453

MATH 319Probability and Statistics

Cliona Golden

. T . Th .

9:00 - 10:20 am

RKC 101

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.

 

11454

MATH 332†† Abstract Algebra

James Belk

. T . Th .

2:30 -3:50 pm

RKC 102

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.

 

11455

MATH 362†† Complex Analysis

John Cullinan

M . W . .

3:00 -4:20 pm

RKC 102

MATC

This course will cover the basic theory of functions of one complex variable. Topics will include the geometry ofcomplex numbers, holomorphic and harmonic functions, Cauchyís theorem and its consequences, Taylor and Laurent series, singularities, residues, elliptic functions and/or other topics as time permits. Prerequisites: Math 361 or permission of the instructor

 

11456

MATH 405†† Mathematical Logic

Robert McGrail

. T . Th .

2:30 -3:50 pm

RKC 101

MATC

An introduction to mathematical logic. Topics include first-order logic, completeness and compactness theorems, model theory, nonstandard analysis, decidability and undecidability, incompleteness, and Turing machines. Prerequisites: Mathematics 332 or permission of instructor.