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These two Learning Commons courses do not satisfy area or distribution requirements.

 

11837

BLC 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. Class Size: 18

 

11838

BLC 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 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 meets for the first ten weeks of the semester, and will be graded Pass/Fail. No distributional credit is earned. Class size: 18

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12159

MATH 106   Mathematics and Politics

John Cullinan

. T . Th .

11:50 am -1:10 pm

RKC 101

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: passing score on Part I of the Mathematics Diagnostic.  Class size: 22

 

11398

MATH 110   Precalculus Mathematics

Jules Albertini

M . W . .

1:30 pm -2:50 pm

RKC 111

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 algebra skills are encouraged to enroll concurrently in BLC 150. Prerequisites: passing score on Part I of the Mathematics Diagnostic. Class size: 22

 

11400

MATH 131   Exploration in Number Theory

Lauren Rose

M . W . .

10:10am - 11:30 am

HEG 204

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: Precalculus or the equivalent.  Class size: 22

 

11401

MATH 141 A  Calculus I

John Cullinan

. T . Th .

8:30 am -9:50 am

RKC 101

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: 22

 

11402

MATH 141 B  Calculus I

James Belk

. T . Th .

3:10 pm -4:30 pm

RKC 115

MATC

See above.  Class size: 22

 

11403

MATH 142 A  Calculus II

Jennie D'Ambroise

. T . Th .

10:10am - 11:30 am

HEG 204

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: 22

 

11404

MATH 142 B  Calculus II

Jennie D'Ambroise

. T . Th .

11:50 am -1:10 pm

HEG 204

MATC

See above.  Class size: 22

 

11839

MATH 146   Statistics and Data Analysis

Samuel Hsiao

. . W . F

10:10am - 11:30 am

HEG 308

MATC

This course introduces the main ideas and methods of data analysis and statistical inference. Topics include graphical and numerical summaries of data, elementary probability, linear regression models, analysis of variance, and techniques of inference such as hypothesis tests and confidence intervals. Examples are drawn from the scientific literature and news sources. Students will gain experience analyzing real data sets through extensive use of statistical software. Prerequisites: Precalculus or equivalent.   Class size: 20

 

11406

MATH 213 A  Linear Algebra w/ODEs

Gregory Landweber

M . W . .

10:10am - 11:30 am

RKC 102

MATC

This course is an introduction to two fields of mathematics, linear algebra and ordinary differential equations, that are of fundamental importance throughout mathematics and its applications, and that are related by the important use of linear algebra in the study of systems of linear differential equations. Topics in linear algebra include n-dimensional Euclidean space,  vectors, matrices, systems of linear equations, determinants, eigen values and eigenvectors; topics in ordinary differential equations include graphical methods, separable differential equations, higher order linear differential equations, systems of linear differential equations and applications. Prerequisite: Mathematics 142 or the equivalent.  Class size: 18

 

11407

MATH 213 B  Linear Algebra w/ODEs

Branden Stone

. T . Th .

10:10am - 11:30 am

HEG 308

MATC

See above.  Class size: 18

 

11405

MATH 241   Vector Calculus

Ethan Bloch

. T . Th .

1:30 pm -2:50 pm

HEG 308

MATC

This course investigates differentiation and integration of vector-valued functions, and related topics in calculus. Topics covered include vector-valued functions, gradients, the chain rule, Lagrange multipliers, change of variables for multiple integrals, line integrals, Green’s Theorem, Stokes’ Theorem, Divergence Theorem and power series.  Prerequisites: Mathematics 142 and Mathematics 213 or equivalent. Class size: 20

 

11408

MATH 261 A  Proofs and Fundamentals

Lauren Rose

M . W . .

1:30 pm -2:50 pm

HEG 204

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: 14

 

11409

MATH 261 B  Proofs and Fundamentals

Maria Belk

. T . Th .

3:10 pm -4:30 pm

OLINLC 115

MATC

Se above.  Class size: 14

 

11410

MATH 311   Ordinary and Partial Differential Equations

Jennie D'Ambroise

. . W . F

10:10am - 11:30 am

RKC 101

MATC

This course will cover topics in ordinary and partial differential equations, including linear and nonlinear equations. The main focus is on first and second order differential equations; higher order differential equations are also considered. The course will be a mix of both theory and computation. Topics in ordinary differential equations include systems of equations, phase plane portraits of solutions, bifurcations, stability, and existence and uniqueness. Topics in partial differential equations include boundary conditions, physical applications and classifications of elliptic, parabolic and hyperbolic equations.
Prerequisites: Math 213, or Math 242 plus some basic familiarity with differential equations, or Math 211 plus some basic familiarity with linear algebra, or permission of instructor. Class size: 15

 

11411

MATH 329   Mathematical Statistics

Samuel Hsiao

. . W . F

1:30 pm -2:50 pm

HEG 308

MATC

This course is a calculus-based introduction to statistical theory and applications. Students will explore the mathematical ideas underlying common statistical methods and will gain experience analyzing real data. Core topics include estimation, confidence intervals, hypothesis testing, and regression. Additional topics vary by instructor and may include bootstrapping or nonparametric methods. Statistical software will be used extensively to perform simulations and data analyses.  Prerequisites: Math 328 or Math 319. Class size: 15

 

11412

MATH 332   Abstract Algebra

James Belk

. T . Th .

11:50 am -1:10 pm

RKC 102

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

 

11414

MATH 351   Point Set Topology

Ethan Bloch

. T . Th .

3:10 pm -4:30 pm

HEG 308

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. Class size: 15

 

11415

MATH 363   Numerical Real Analysis

Gregory Landweber

M . W . .

3:10 pm -4:30 pm

RKC 111

MATC

Some of the fundamental ideas of analysis in one-dimensional Euclidean space are studied from both theoretical and computational perspectives. Topics covered include the foundations of the real numbers, sequences, series, power series, the derivative, and the Riemann integral. A focus will be on error estimates for numerical methods of approximating the roots, derivatives and integrals of real analytic functions, making use of Taylor series and Taylor's Theorem. This course satisfies the Real Analysis requirement of the Mathematics Program.  Prerequisite: Mathematics 261 and one prior 300-level mathematics course, or permission of the instructor. Class size: 15

 

11416

MATH 399   Junior Seminar

Samuel Hsiao

. . . Th .

4:40 pm -6:00 pm

HEG 308

 

1 credit  This course is designed to help students prepare for a senior project in mathematics via a variety of hands-on activities related to reading, doing and writing mathematics. There will be ten weekly meetings, each devoted to a different topic, including: how to read a mathematics paper; searching the mathematics literature; using LaTeX for writing a senior project; using computer programs such as Sage and Mathematica; and expository mathematical writing. The seminar culminates in the writing of a short expository work. The seminar is graded Pass/Fail.  Prerequisite: At least one 300-level Mathematics course. Class size: 15