Bard Learning Commons courses: (no distribution credit)

 

12082

BLC 150      Algebra Workshop

Daniel Newsome

F     1:00 pm-3:00 pm

HEG 102

 (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

 

12084

BLC 190      Algebra/Trigonometry/Functions

Daniel Newsome

W       5:30 pm-7:30 pm

OLIN 201

 (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.

 

 

12128

MATH 104 A  Data and Decisions

Ethan Bloch

M  W   10:10 am-11:30 am

HEG 204

MC

MATC

 This course examines applications of mathematics to a number of topics related to data and decision-making. Topics will be chosen from three relevant areas of mathematics: voting systems, networks and statistics, all of which involve extracting information from various types of data. There is no particular mathematical preparation needed for this course beyond basic algebra, and a willingness to explore new ideas, construct convincing arguments and use a spreadsheet. Prerequisite: passing score on Part I of the Mathematics Diagnostic.

Class size: 22

 

12129

MATH 104 B  Data and Decisions

Ethan Bloch

M  W    1:30 pm-2:50 pm

HEG 204

MC

MATC

 See above.

Class size: 22

 

12130

MATH 110      Precalculus Mathematics

Daniel Newsome

M  W    1:30 pm-2:50 pm

HEG 308

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: 22

 

12131

MATH 116      Mathematics:Puzzles & Games

Silvia Saccon

M  W   10:10 am-11:30 am

HEG 308

MC

MATC

 Mathematics can be used to analyze many puzzles and games.  Conversely, puzzles and games can be used as a vehicle to explore new mathematics concepts.  In this class we will develop the mathematics of puzzles and games from both perspectives, as a means to solve a puzzle or win a game, and also as a fun way to learn and develop mathematical skills.  We will focus on the mathematics and the strategies behind puzzles and games such as the Rubik’s Cube, SET, Nim, Hex, and Sudoku. This is an Engaged Liberal Arts and Sciences course, and the ELAS activities may include guests presenters, a trip to the Museum of Mathematics, and participating in games sessions for local K-12 students and community members. No prior experience with the games and puzzles listed above is required.  Prerequisite: A passing score on Part 1 of the Math Placement Diagnostic.

Class size: 20

 

12132

MATH 141 A  Calculus I

Mark Halsey

T  Th  8:30 am-9:50 am

RKC 101

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: 22

 

12133

MATH 141 B  Calculus I

Matthew Junge

T  Th  3:10 pm-4:30 pm

RKC 101

MC

MATC

 See above.

Class size: 22

 

12134

MATH 142 A  Calculus II

Steven Simon

M  W    3:10 pm-4:30 pm

HEG 102

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: 22

 

12135

MATH 142 B  Calculus II

Silvia Saccon

M  W    8:30 am-9:50 am

HEG 308

MC

MATC

 See above.

Class size: 22

 

12136

MATH 242      Elementary Linear Algebra

Japheth Wood

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. 

Class size: 18

 

12137

MATH 245      Intermediate Calculus

John Cullinan

T  Th  8:30 am-9:50 am

HEG 204

MC

MATC

 Prerequisite: Math 142 or permission of the instructor. 

Class size: 18

 

12138

MATH 261      Proofs and Fundamentals

Lauren Rose

M  W    11:50 am-1:10 pm

HEG 201

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

 

12168

MATH 313      Discrete and Computational Geometry

Ethan Bloch

M  W    3:10 pm-4:30 pm

ALBEE 100 / HEG 308

MC

MATC

Cross-listed: Computer Science

 Discrete and computational geometry, which has applications in areas such as pattern recognition, image processing, computer graphics and terrain modeling, is the study of geometric constructs in two-and three-dimensional space that arise from finite sets of points. This class will treat fundamental topics in the field, including convex hull, Delaunay triangulations, Voronoi diagrams, curve reconstruction and polyhedra. The class will combine both theory and algorithms; the work for the class will involve both traditional proofs and implementation of algorithms via the computer system Sage, which is based upon Python and which will be discussed in class. Prerequisites: MATH 261 (Proofs and Fundamentals), or CMSC 145 (Discrete Mathematics) and some programming experience.

Class size: 15

 

12139

MATH 329      Mathematical Statistics

Matthew Junge

T  Th  1:30 pm-2:50 pm

RKC 101

MC

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.  Prerequisite: MATH 319 Probability and Statistics or MATH 328 Probability.

Class size: 15

 

12141

MATH 352      Differential Geometry

Stefan Mendez-Diez

F     1:30 pm-4:30 pm

HEG 308

MC

MATC

 This course will use methods from multivariable calculus to study the geometry of curves and surfaces in three dimensions. Topics covered will include curvature and torsion of curves, geometry of surfaces, geodesics, spherical and hyperbolic geometry, minimal surfaces, Gaussian curvature, and the Gauss-Bonnet theorem. Time permitting, we may also discuss applications to subjects such as cartography and navigation, shapes of soap bubbles, computer graphics, image processing, and general relativity. Prerequisites: Mathematics 241 Vector Calculus. 

Class size: 15

 

12142

MATH 361  A   Real Analysis

Steven Simon

M  W    1:30 pm-2:50 pm

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

 

12868

MATH 361  B   Real Analysis

John Cullinan

T  Th 10:10 am-11:30 am

HEG 204

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

 

 

Cross-listed courses:

 

12102

BIO 244      Biostatistics

Gabriel Perron

W  F  1:30 pm-3:30 pm

RKC 111

MC

MATC

Cross-listed: Environmental & Urban Studies; Global Public Health; Mathematics Class size: 18

 

12121

CMSC 145      Discrete Math

Japheth Wood

T  Th 10:10 am-11:30 am

HEG 102

MC

MATC

Cross-listed: Mathematics Class size: 18

 

12337

EUS 226      Environmental Modeling

Gautam Sethi

T  Th  1:30 pm-2:50 pm

HEG 102

MC

MATC

Cross-listed: Economics; Mathematics Class size: 22

 

12151

PHYS 222      Mathematical Methods II

Antonios Kontos

M  W   11:50 am-1:10 pm F         1:30 pm-2:50 pm

HEG 106 HEG 106

MC

MATC

Cross-listed: Mathematics Class size: 16