17073

BLC 150

Algebra Workshop

Maria Belk

F 10:10am – 11:30am

HEG 204

(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. Class size: 22

17075

BLC 190

Algebra,Trigonometry, Functions

Maria Belk

T 5:00pm- 7:00pm

RKC 101

(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: 25

17141

MATH 102

Elementary Statistics

Amir Barghi

M W 1:30pm-2:50pm

ALBEE 100

MATC

The main focus of this course is to introduce core ideas in statistics that are needed to make sense of what is found in media outlets, online surveys, and scientific journals. Most concepts are introduced in a case-study fashion; statistical software will be used to analyze data and facilitate classroom discussions. The goal of this course is to foster statistical reasoning, and to assist in making informed conclusions about topics involving data. Intended for non-math majors. Prerequisites: passing score on Part I of the Mathematics Diagnostic. Class size: 18

17142

MATH 104

Data and Decisions

Ethan Bloch

M W 3:10pm-4:30pm

HEG 204

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

17143

MATH 106

Mathematics and Politics

John Cullinan

M W 8:30am-9:50am

HEG 308

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

17144

MATH 110

Precalculus Mathematics

Lauren Rose

T Th 1:30pm-2:50pm

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

17145

MATH 131

Exploration in Number Theory

Lauren Rose

T Th 10:10am-11:30am

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: passing score on Part 2 of the Mathematics Diagnostic. Class size: 20

17146

MATH 141 A

Calculus I

Stefan Mendez-Diez

M W 3:10pm-4:30pm

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

17147

MATH 141 B

Calculus I

Stefan Mendez-Diez

T Th 10:10am-11:30am

HEG 308

MATC

See above. Class size: 22

17148

MATH 142 A

Calculus II

Steven Simon

T Th 8:30am-9:50am

RKC 101

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

17149

MATH 142 B

Calculus II

Steven Simon

T Th 3:10pm-4:30pm

HEG 308

MATC

See above. Class size: 22

17150

MATH 213 A

Linear Algebra & Ordinary Differential Equations

James Belk

T Th 11:50am-1:10pm

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

17151

MATH 213 B

Linear Algebra/Ord Diff Equatn

James Belk

T Th 3:10pm-4:30pm

RKC 102

MATC

See above. Class size: 18

17152

MATH 241

Vector Calculus

John Cullinan

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

17153

MATH 261

Proofs and Fundamentals

Japheth Wood

W F 1:30pm-2:50pm

ALBEE 106

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

17154

MATH 301

Scientific Computing

Stefan Mendez-Diez

T Th 11:50am-1:10pm

ALBEE 100

MATC

This course will explore how to solve continuous problems using numerical methods. Such problems arise in many mathematical applications. We will discuss the theory of numerical computation, as well as how to utilize the theory to solve real problems using the computer software package MATLAB. The course will begin with learning how to use MATLAB by experimenting with its use in solving eigenvalue problems. We will then study curve fitting using least squares and polynomial interpolation, among other methods. We will use these problems to focus on how to optimize our computer code for parallelization. The course will conclude by focusing on numerical methods for solving differential equations. Prerequisites: MATH 213 (Linear Algebra with Ordinary Differential Equations), and one of MATH 241 (Vector Calculus), CMSC 143 (Object-Oriented Programming with Robots), PHYS 221 (Mathematical Methods of Physics I) or permission of the instructor. Class size: 15

17156

MATH 315

Game Theory

Maria Belk

M W 3:10pm-4:30pm

HEG 308

MATC

Game Theory is a mathematical approach to modeling situations of conflict and cooperation. It has applications to many fields, including economics, biology, and psychology. This course will be an introduction to game theory from a mathematical perspective; topics will include mathematical models of games, two-person games, mixed strategies, and Nash equilibria. Additional topics may include continuous games, dynamic games, and stochastic games. Prerequisites: MATH 213 (Linear Algebra w/ODEs) and MATH 261 (Proofs and Fundamentals). Class size: 15

17155

MATH 329

Mathematical Statistics

Amir Barghi

M W 10:10am-11:30am

ALBEE 100

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

17157

MATH 332

Abstract Algebra

Ethan Bloch

M W 1:30pm-2:50pm

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

17158

MATH 361

Real Analysis

Steven Simon

T Th 1:30pm-2:50pm

RKC 101

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 and one prior 300-level mathematics course is recommended, or permission of the instructor. Class size: 15

Cross-listed:

17603

EUS 226

Environmental Modeling

Gautam Sethi

M W 10:10am-11:30am

OLIN 101

MATC

Cross-listed: Economics; Mathematics