Course

MATH 102†† Mathematics of Chance

Professor

Jan Rizzuti

CRN

17142

 

Schedule

Tu Th††††††††† 10:30 - 11:50 amOLINLC 115

Distribution

OLD: E/Q

NEW: Mathematics & Computing

Students and the instructor choose serious applications of probability and statistics as the focus of the course. Concepts in probability and statistics are developed to the extent necessary to understand the applications. Most topics are introduced in a case-study fashion, usually by reading an article in a current periodical such as the New York Times. Other examples are drawn from journals such as Chance, Nature, Science, and Scientific American. Primary reading is supplemented by readings on basic probability and statistics. The goal is to enable the student to make critical judgments and come to informed conclusions about current issues involving chance. Prerequisite: eligibility for Q courses. On-line registration

 

Course

MATH 131†† Exploration in Number Theory

Professor

Samuel Hsiao

CRN

17143

 

Schedule

Tu Th††††††††† 1:00 -2:20 pm††††† Hegeman 106

Distribution

OLD: E/Q

NEW: Mathematics & Computing

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: Calculus background or very strong Precalculus background.†† On-line registration

 

Course

MATH 135†† Game Theory

Professor

Mark Halsey

CRN

17144

 

Schedule

Wed Fr†††††† 9:00 - 10:20 am†† Hegeman 102

Distribution

OLD: E/G/Q

NEW: Mathematics & Computing

Cross-listed:Science, Technology & Society

In the twentieth century, the theory of games gained prominence for its application to the social sciences. Game theory is a mathematical approach to modeling situations of conflict whether real or theoretical. This course will introduce the student to this exciting area of mathematics. Using algebra and some analytical geometry, students will be able to explore the mathematical foundations of game theory. At the same time students will encounter a wide range of applications of the theory of games. Topics covered will be chosen from: zero sum games, nonzero sum games, pure and mixed strategies, von Neumannís Minimax Theorem, Nash equilibria, and cooperative games. Prerequisities: Precalculus or permission of the instructor. On-line registration

 

Course

MATH 141 ACalculus I

Professor

Ethan Bloch

CRN

17145

 

Schedule

Tu Th††††††††† 1:00 -2:20 pm††††† OLINLC 115

Distribution

OLD: E/G/Q

NEW: Mathematics & Computing

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. On-line registration

 

Course

MATH 141 BCalculus I

Professor

John Cullinan

CRN

17146

 

Schedule

Mon Wed†† 9:00 - 10:20 am†† OLINLC 115

Distribution

OLD: E/G/Q

NEW: Mathematics & Computing

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. On-line registration

 

Course

MATH 142†† Calculus II

Professor

Mary Krembs

CRN

17147

 

Schedule

Mon Wed†† 1:30 -2:50 pm††††† Hegeman 106

Fr††††††††††††††† 12:00 -1:00 pm†††† Hegeman 106 (required problem session)

Distribution

OLD: E/G/Q

NEW: Mathematics & Computing

This course, a continuation of Calculus I, reinforces the fundamental ideas of the derivative and the definite integral.Topics covered include L'Hopital's rule, integration techniques, improper integrals, volumes, arc length, sequences and series, powerseries, continuous random variables, and separable differential equations.Prerequisites:Mathematics 141 or the equivalent. On-line registration

 

Course

MATH 212†† Calculus III

Professor

Jules Albertini

CRN

17148

 

Schedule

Mon Fr†††††† 1:30 -2:50 pm††††† OLINLC 115

Distribution

OLD: E/Q

NEW: Mathematics & Computing

This course investigates differentiation and integration of multivariable functions. Topics covered include vectors, coordinate systems, vector valued functions, partial derivatives, gradients, Lagrange multipliers, multiple integrals, change of variables, line integrals, Greenís theorem, and Stokeís theorem.

Prerequisite: Mathematics 141 and 142 or the equivalent. On-line registration

 

Course

MATH 242†† Elementary Linear Algebra

Professor

John Cullinan

CRN

17149

 

Schedule

Tu Th††††††††† 9:00 - 10:20 am†† Hegeman 106

Distribution

OLD: E/Q

NEW: Mathematics & Computing

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.Equal time will be given to computational, applied, and theoretical aspects of the course material.Prerequisite: Math 111 or permission of the instructor. On-line registration

 

Course

MATH 261†† Proofs and Fundamentals

Professor

Ethan Bloch

CRN

17150

 

Schedule

Mon Wed†† 3:00 -4:20 pm††††† Albee 106

Distribution

OLD: E/Q

NEW: Mathematics & Computing

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 141 and 142, or permission of instructor.†† On-line registration

 

Course

MATH 275†† Probability and Statistics

Professor

Samuel Hsiao

CRN

17151

 

Schedule

Wed Fr†††††† 9:00 - 10:20 am†† Hegeman 106

Distribution

OLD: E/Q

NEW: Mathematics & Computing

Everyday we make decisions based on numerical data in the face of uncertainty. We do so while reading the latest political polls, playing a card game, interpreting a medical diagnosis, or analyzing a scientific experiment. Probabilistic models and statistical methods help us to think through such decisions in a precise mathematical fashion. This course provides a calculus-based introduction to techniques and applications of probability and statistics. Topics include random variables and their distributions, Central Limit Theorem, hypothesis testing, estimation, linear regression. Applications are selected from the natural and social sciences. Prerequisites: Math 142 or the equivalent. For students concentrating in economics, Math 275 can substitute for Econ 229. On-line registration

 

Course

MATH 332†† Abstract Algebra

Professor

Lauren Rose

CRN

17152

 

Schedule

Mon Wed†† 10:30 - 11:50 amAlbee 106

Distribution

OLD: E/Q

NEW: Mathematics & Computing

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. Prerequisite: Mathematics 261 or permission of the instructor. On-line registration

 

Course

MATH 334†† Advanced Topicsin Algebra and Combinatorics

Professor

Lauren Rose

CRN

17153

 

Schedule

Tu Th††††††††† 10:30 - 11:50 amAlbee 106

Distribution

OLD: E/Q

NEW: Mathematics & Computing

This course will cover a selection of topics from algebraic combinatorics and computational algebra. Possible topics include convex polytopes, simplicial complexes, multivariate splines, hyperplane arrangements, and Groebner bases. Topic for this semester: Groebner bases. Prerequisite: Math 331 or 332, or permission of the instructor. On-line registration

 

Course

MATH 362Complex Analysis

Professor

John Cullinan

CRN

17154

 

Schedule

Tu Th††††††††† 2:30 -3:50 pm††††† Hegeman 106

Distribution

OLD: E/Q

NEW: Mathematics & Computing

This course will cover the basic theory of functions of one complex variable. Topics will include the geometry ofcomplex numbers, holomorphic and harmonic functions, Cauchyís theorem and its consequences, Taylor and Laurent series, singularities, residues, elliptic functions and/or other topics as time permits. Prerequisites: Math 361 or permission of the instructor. On-line registration