92007

MATH 105  Time, Space, and Infinity: Mathematical Perspectives on Philosophical Paradoxes

Steven Simon

M  W  11:50 am-1:10 pm

HEG 102

MC

MATC

Cross-listed: Philosophy  If time is composed of moments with zero duration, is change an illusion? Beginning with Zeno’s ancient paradoxes, fundamental problems on the nature of time and space – and intimately related ones regarding infinity – have bedeviled thinkers through the contemporary period. This course will provide a beginner-friendly tour of some of mathematics’ most profound discoveries (irrational numbers, limits, uncountability) and the concerns (e.g., how can there be the “same” amount of whole numbers as there are fractions, yet “fewer” fractions than real numbers?) which arise in answering such intractable questions. Other than a working knowledge of basic algebra, the class requires only a willingness to explore new ideas and construct convincing arguments. Prerequisite: Passing score on Part I of the Mathematics Diagnostic.  Class size: 22

 

92009

MATH 110 A  Precalculus Mathematics

Silvia Saccon

M  W  10:10 am-11:30 am

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

 

92010

MATH 110 B  Precalculus Mathematics

John Cullinan

M  W  11:50 am-1:10 pm

RKC 101

MC

MATC

See above.  Class size: 22

 

92042

MATH 116 A  Mathematics of Puzzles & Games

Lauren Rose

T  Th 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 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

 

92646

MATH 116 B  Mathematics of Puzzles & Games

Silvia Saccon

M  W    11:50 am – 1:10 pm

HEG 308

MC

MATC

See above.

 

92011

MATH 141 A  Calculus I

Stefan Mendez-Diez

T  Th 10:10 am-11:30 am

HEG 204

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

 

92012

MATH 141 B  Calculus I

Stefan Mendez-Diez

T  Th 1:30 pm-2:50 pm

HEG 204

MC

MATC

See above.  Class size: 22

 

92013

MATH 141 C  Calculus I

Matthew Junge

M  W  1:30 pm-2:50 pm

HEG 204

MC

MATC

See above.  Class size: 22

 

92014

MATH 141 D  Calculus I

Silvia Saccon

T  Th 8:30 am-9:50 am

HEG 308

MC

MATC

See above.  Class size: 22

 

92015

MATH 142 A  Calculus II

Japheth Wood

T  Th 10:10 am-11:30 am

HEG 201

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

 

92016

MATH 142 B  Calculus II

Japheth Wood

T  Th 1:30 pm-2:50 pm

HEG 308

MC

MATC

See above.  Class size: 22

 

92018

MATH 242  Elementary Linear Algebra

Japheth Wood

M  W  10:10 am-11:30 am

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.  

Prerequisite: Math 142 or permission of the instructor.  Class size: 18

 

92019

MATH 261  Proofs and Fundamentals

John Cullinan

M  W  8:30 am-9:50 am

HEG 308

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

 

92020

MATH 301  Scientific Computing

Stefan Mendez-Diez

M  W  10:10 am-11:30 am

ALBEE 100

MC

MATC

Cross-listed: Computer Science  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: A course in linear algebra (MATH 213, MATH 242, or PHYS 221) and one of CMSC 141, MATH 245, or PHYS 222, or permission of the instructor. Class size: 15

 

92104

MATH 312  Advanced Calculus

Steve Simon

M  W  1:30 pm-2:50 pm

HEG 102

MC

MATC

This course treats differential and integral calculus of several variables from an advanced perspective. Topics may include the derivative as matrix, the Hessian determinant and curvature, the inverse and implicit function theorems, the Jacobian and general change of variables, parametrizations of curves and surfaces, line and surface integrals, the theorems of Green, Gauss, and Stokes, and an introduction to differential forms including the generalized Stokes theorem.  Prerequisite: Mathematics 242 and Mathematics 245, or Physics 221, or permission of the instructor. Class size: 15

 

92021

MATH 328  Probability

Matthew Junge

M  W  3:10 pm-4:30 pm

HEG 102

MC

MATC

A calculus-based introduction to probability with an emphasis on computation and applications. Topics include continuous and discrete random variables, combinatorial methods, conditional probability, joint distributions, expectation, variance, covariance, laws of large numbers, and the Central Limit Theorem. Students will gain practical experience using mathematical software to run probability simulations. Prerequisite: A course in multivariable calculus (such as MATH 241, MATH 245, or PHYS 221) or permission of the instructor.  Class size: 15

 

92022

MATH 332  Abstract Algebra

Lauren Rose

T  Th 1:30 pm-2:50 pm

RKC 102

MC

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.

Prerequisites: MATH 261 (Proofs and Fundamentals) or permission of the instructor.  Class size: 15

Cross-listed course:

92036

PHYS 221  Mathematical Methods I

Antonios Kontos

T   F   10:00 am-12:00 pm

HEG 106

MC

MATC

Cross-listed: Mathematics