Course

MATH 110†† Precalculus Mathematics

Professor

Jan Rizzuti

CRN

18138

 

Schedule

Mon Wed†††††† 10:30 - 11:50 am††† RKC 101

Distribution

Mathematics and Computing

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.Prerequisites: successful completion of Q exam.On-line registration

 

Course

MATH 131†† Exploration in Number Theory

Professor

Samuel Hsiao

CRN

18139

 

Schedule

Tu Th†† 2:30 -3:50 pm HEG 106 / ALBEE 100

Distribution

Mathematics and 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 141 ACalculus I

Professor

Gregory Landweber

CRN

18140

 

Schedule

Tu Th††††††††††††† 2:30 -3:50 pm††††††† RKC 101

Distribution

Mathematics and 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

18141

 

Schedule

Mon Wed†††††† 9:00 - 10:20 am†††† RKC 102

Distribution

Mathematics and Computing

See description above. On-line registration

 

Course

MATH 142 ACalculus II

Professor

Mary Krembs

CRN

18142

 

Schedule

Mon Fr†††††††††† 9:00 - 10:20 am†††† RKC 101

Distribution

Mathematics and 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 142 BCalculus II

Professor

Mary Krembs

CRN

18143

 

Schedule

Mon Fr†††††††††† 12:00 -1:20 pm†††††† RKC 101

Distribution

Mathematics and 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

John Cullinan

CRN

18144

 

Schedule

TuTh†††††††††††††† 9:00 - 10:20 am†††† RKC 101

Distribution

Mathematics and 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 / CMSC 235†† Discrete Mathematics

Professor

Robert McGrail

CRN

18133

 

Schedule

Mon Wed†††††† 9:00 - 10:20 am†††† RKC 100

Distribution

Mathematics and Computing

This course will examine the field of discrete mathematics, especially the areas of importance in computer science, such as algorithms, combinatorics, probability, and graph theory. Equal time will be given to theory, computation, and applications.

Prerequisites: Math 110 or permission of the instructor.

On-line registration

 

Course

MATH 242†† Linear Algebra with Applications

Professor

Jules Albertini

CRN

18145

 

Schedule

Mon Wed†††††† 3:00 -4:20 pm††††††† RKC 101

Distribution

Mathematics and Computing

Cross-listed: Cognitive Science

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 141-142 or permission of the instructor.On-line registration

 

Course

MATH 261†† Proofs and Fundamentals

Professor

Lauren Rose

CRN

18146

 

Schedule

Mon Wed†††††† 10:30 - 11:50 am††† ALBEE 106

Distribution

Mathematics and 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

18147

 

Schedule

Tu Th 10:30 - 11:50 amHEG 106 / ALBEE 100

Distribution

Mathematics and 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 / CMSC 301†† Numerical Analysis Lab

Professor

Gregory Landweber

CRN

18148

 

Schedule

Mon††††††††††††††† 4:30 -5:50 pm††††††† RKC 100

Distribution

Mathematics and Computing

2 creditsThis lab is an introduction to mathematical computation. It will start with tutorials on the two software packages that we will be using: Mathematica and its new open source alternative, Sage. The course will then discuss algorithms for finding the zeros of non-linear functions, solving linear systems quickly, and approximating eigenvalues. The bulk of the course will be devoted to curve fitting by means of polynomial interpolation, splines, bezier curves, and least squares.Corequisites: Math 242 and any Computer Science course or basic programming experience. On-line registration

 

Course

MATH 332†† Abstract Algebra

Professor

Lauren Rose

CRN

18149

 

Schedule

TuTh†††††††††††††† 1:00 -2:20 pm††††††† ALBEE 106

Distribution

Mathematics and 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 351†† Point Set Topology

Professor

Gregory Landweber

CRN

18150

 

Schedule

TuTh†††††††††††††† 10:30 - 11:50 am††† ALBEE 106

Distribution

Mathematics and Computing

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. On-line registration

 

Course

MATH 436†† Representation Theory

Professor

John Cullinan

CRN

18200

 

Schedule

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

Distribution

Mathematics and Computing

This course will cover the basic theory of representations of finite groups in characteristic zero: Schur's Lemma, Mashcke's Theorem and complete reducibility, character tables and orthogonality, direct sums and tensor products.The major goals of the course will be to understand the representation theory of the symmetric group and the general linear group over a finite field.If time permits, the theory of Brauer characters and modular representations will be introduced.Corequisites: Math 242 and Math 332. On-line registration