15496

BLC†† 150

Algebra Workshop

Maria Belk

. T. . .

7:00 pm -9:00 pm

HEG 204

N/A

(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.This course will meet for the first 10 weeks of the semester. Class size: 22

 

15497

BLC†† 190

Algebra, Trigonometry, Functions

Maria Belk

. . W . .

7:00 pm -9:00 pm

HEG 204

N/A

(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

 

15582

ML 102

Uncertainty and Variation

John Cullinan

M . W . .

3:10pm-4:30pm

RKC 200

N/A

2 creditsThis is a non-technical introduction to the ideas of statistics and how they are used and portrayed in politics, science, economics, and the media.This course will center around readings that convey the big ideas of the subject with no mathematical prerequisites.By focusing on real-world case studies, we will learn to critique the use and misuse of statistics in everyday life. The course meets twice a week during the first seven weeks of the semester. This Modern Literacy course does not satisfy the MATC distribution requirement. Class size: 18

 

 

15849

MATH107

TOPICS IN GEOMETRICAL MATHEMATICS

Ethan Bloch

. T . Th .

1:30pm-2:50pm

HEG 308

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

 

15129

MATH108

Secret Codes

James Belk

. . W . F

1:30pm-2:50pm

ALBEE 100

MATC

This course is an introduction to cryptology, the science of sending, receiving, and intercepting secret messages. We will study a variety of encryption methods, including classical substitution and transposition ciphers, as well as more modern methods such as symmetric-key algorithms and public-key cryptography.Though the focus will be on the mathematical and computational aspects of encryption and codebreaking, we will also discuss the history of secret messages and codes, the role of cryptology in modern internet security, and public policy issues related to secure communication and eavesdropping. Prerequisite: passing score on Part I of the Mathematics Diagnostic. Class size: 18

 

15130

MATH110

Precalculus Mathematics

Mary Krembs

M . W . .

8:30am-9:50am

HEG 204

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: 22

 

15131

MATH132

Network Science

Csilla Szabo

. T . Th .

11:50am-1:10pm

RKC 107

MATC

Cross-listed:Environmental & Urban StudiesNetworks are all around us! From our social interactions to the neurons in our brains to financial markets, we find network structure. Network science can help us to better understand how these complex systems in our world work. This introductory course will cover topics such as representations of a network as a graph or matrix, network measures and classification of networks as small world, random or hierarchical. We will investigate applications in biology, sociology, transportation, ecology, epidemiology, as well as others.Prerequisite: MATH 110 Precalculus or the equivalent.Class size: 22

 

15132

MATH141A

Calculus I

Csilla Szabo

. T . Th .

8:30am-9:50am

RKC 102

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: 22

 

15133

MATH141B

Calculus I

Csilla Szabo

M . W . .

3:10pm-4:30pm

HEG 204

MATC

See above.Class size: 22

 

15134

MATH 142A

Calculus II

Amir Barghi

M . W . .

8:30am-9:50am

HEG 308

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: 22

 

15135

MATH142B

Calculus II

Amir Barghi

. T . Th .

11:50am-1:10pm

RKC 102

MATC

See above.Class size: 22

 

15136

MATH213A

Linear Algebra w/ODEs

Ethan Bloch

. T . Th .

1:30pm-2:50pm

HEG 308

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: MATH 142 Calculus II or the equivalent.Class size: 18

 

15137

MATH213B

Linear Algebra w/ODEs

Ethan Bloch

. T . Th .

3:10pm-4:30pm

HEG 308

MATC

See above.Class size: 18

 

15138

MATH241

Vector Calculus

Mary Krembs

M . W . .

10:10am- 11:30am

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, Greenís Theorem, Stokesí Theorem, Divergence Theorem and power series.Prerequisites: MATH 142 Calculus II and MATH 213 Linear Algebra w/ODEs or the equivalent. Class size: 18

 

15139

MATH261A

Proofs and Fundamentals

Lauren Rose

. T . Th .

10:10am- 11:30am

HEG 308

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

 

15140

MATH261B

Proofs and Fundamentals

Amir Barghi

M . W . .

1:30pm-2:50pm

ALBEE 106

MATC

See above. Class size: 15

 

15141

MATH311

Ordinary & Partial†† Differential Equations

John Cullinan

. . W . F

1:30pm-2:50pm

RKC 102

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

 

15142

MATH322

Operations Research

Maria Belk

M . W . .

3:10pm-4:30pm

RKC 102

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: MATH 213 Linear Algebra w/ODE's.Class size: 15

 

15143

MATH332

Abstract Algebra

Lauren Rose

. T . Th .

11:50am-1:10pm

HEG 308

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 MATH 213 Linear Algebra w/ODEs,or permission of the instructor.Class size: 15

 

15144

MATH351

Point Set Topology

James Belk

. T . Th .

3:10pm-4:30pm

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.Class size: 15

 

15145

MATH432

Advanced Algebra

John Cullinan

. . W . F

10:10am- 11:30am

HEG 300

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.Class size: 12