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Course Descriptions

110 Basic Concepts of Mathematics
A review course for students who wish to develop quantitative skills. Topics covered include: number systems, linear equations and inequalities, exponents, polynomial and rational expressions, polynomial equations, relations and functions. Not open to students with demonstrated quantitative skills.

130 Fundamentals of Mathematics
A course in mathematical modelling. Topics include linear, quadratic, difference equation, linear programming, matrix, and stochastic models and their applications.

Prerequisite: One year of high school algebra.

150 The Nature of Mathematics
A study of the nature and development of some of the most important mathematical ideas. Topics may include, but are not limited to: infinity, variation, symmetry, numbers and notation, topology, mathematics and calculating machines, dimension, coordinate systems, dynamical systems, randomness, and probability.

170-180 Calculus with Analytic Geometry I-II
A study of the differentiation and integration of algebraic and transcendental functions with applications. Topics in analytic geometry include a study of conics. Four credits, each semester.

Prerequisite: 2 years of high school algebra and a half year of trigonometry.

210 Calculus III
A continuation of Mathematics 170-180. Topics include infinite sequences and series, vectors and vector calculus, and multivariable calculus.

Prerequisite: Mathematics 180

220 Vector Analysis and Differential Equations
A study of vector analysis and ordinary differential equations and their applications. Topics include vector fields, line and surface integrals, first order differential equations, linear differential equations, and systems of differential equations.

Prerequisite: Mathematics 210

260 Problem-Solving
Via the solution of interesting problems, this course isolates and draws attention to the most important problem-solving techniques encountered in undergraduate mathematics. The aim is to show how a basic set of simple techniques can be applied in diverse ways to solve a variety of problems.

Prerequisite: Mathematics 180

310 Linear Analysis
A study of linear algebra with emphasis on its application to the solution of differential equations. Topics include linear systems, matrices, vector spaces, and linear transformations.

Prerequisite: Mathematics 220

330-340 Mathematical Statistics
A study of probability distributions and their application to statistical inference. Topics include probability, probability distributions, and parametric and non-parametric statistics.

Prerequisite: Mathematics 210.

350 Introduction to Complex Variables
Topics for discussion include complex numbers and their properties, analytic functions, integration in the complex plane, Cauchy's integral formula, Taylor and Laurent series, and methods of contour integration.

Prerequisite: Mathematics 220

360 Modern Geometry
An axiomatic approach to geometry including both Euclidean and non- Euclidean geometries.

370 Introduction to Numerical Analysis
A study of numerical methods for function evaluation, solution of equations, approximation and interpolation, integration, differential equations, and linear systems.

Prerequisite: Mathematics 220

380 Operations Research
A study of the fundamental ideas of operations research and the application of mathematics to decision problems. Topics include linear optimization models, the simplex method, network models, dynamic optimization of inventory scheduling, integer programming, combinatorial models, and optimization with a non-linear objective function.

390 Combinatorics
Modern combinatorics at an introductory level. Topics covered are: enumeration, equivalence relations, partitions and multisets, algebraic counting techniques, graph theory, matching and optimization, combinatorial designs and partially ordered sets.

400 Independent Study

410-420 Advanced Calculus I - II
Designed to bridge the gap between manipulative elementary calculus and theoretical real analysis. The fundamentals of elementary calculus are treated in a more rigorous manner. Point set topology is introduced and general theorems concerning continuity, differentiation, and integration on the real line and in Euclidean n-space are proved. Sequences and series of constants, and sequences and series of functions are also covered.

Prerequisite: Mathematics 210

430 Introduction to Modern Algebra
A study of algebraic systems, including groups, rings, and fields.

Prerequisite: Permission of the instructor.

450 History of Mathematics
Introduction to the history and development of mathematics from prehistory to the present.

Prerequisite: Mathematics 220.

480 Topics in Mathematics
This course will consist of a detailed investigation of a topic important to contemporary mathematics. The topic will be chosen by the department for its relevance to current mathematical thought and its accessibility to students.

Prerequisite: Mathematics 310 or permission of the instructor.

490 Internship