2008-2009 Academic Catalog - Queens University of Charlotte

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UNDERGRADUATE COURSE DESCRIPTIONS
MATH 209 Discrete Mathematics
A rigorous treatment of relations, functions, set theory, Boolean algebra, logic and methods of
proof, the binomial theorem, combinatorics, elements of number theory and recursion.
Prerequisite: MATH 121. As requested by students. 3 Hrs.
MATH 221 Calculus III
Vector-valued functions, multi-variable functions and their derivatives, multiple integral, alternate
coordinate systems and the theorems of Green and Stokes. Students will be required to have
access to a TI-83 or a TI-83 Plus calculator for this course. Prerequisite: MATH 122. Spring
Term, every year. 3 Hrs.
MATH 303 Linear Algebra
Coordinate geometry, vectors and three-dimensional geometry, matrices and determinants,
linear transformations. Pre or co-requisites: MATH 122. Spring Term, odd years. 3 Hrs.
MATH 304 Geometry
Modern approach to the study of Euclidean and non-Euclidean geometries, including incidence
and affine geometries; designed especially for students preparing to teach. Prerequisites:
MATH 122. Fall term, even years. 3 Hrs.
MATH 311 Differential Equations
This course is designed to introduce the student to differential equations and their applications.
In addition to studying the theoretical aspects of differential equations, students will also
examine numerical methods and solutions with the use of the existing computer facilities and
software. Prerequisite: MATH 122. As requested by students. 3 Hrs.
MATH 343 Number Theory
The structure of the integers and rational numbers and integer solutions of various types of
equations; algorithms and theorems relating to the properties of division, the factorization of
integers into primes and the rational approximation of irrational numbers. Prerequisites: MATH
122. As requested by students. 3 Hrs.
MATH 401 Modern Algebra I Introduction to abstract algebra.
Topics include basic properties of integers, permutation groups, subgroups, quotient groups,
group isomorphisms and homomorphism, rings and ideals. This course fulfills the writing-intensive
course requirement. Prerequisite: MATH 303. Fall Term, even years. 4 Hrs.
MATH 405 Introduction to Probability and Statistics
Introductory study of probability as a mathematical system. Topics include set theory and
probability, conditional probability, random variables and distributions, expectation and special
discrete and continuous probability distributions. Prerequisites: MATH 122. Fall Term, odd
years. 3 Hrs.
MATH 409 Numerical Analysis
Roots of algebraic and transcendental equations, the numerical solution of differential equations,
initial value problems for ordinary differential equations and approximation theory.
Prerequisite: MATH 311. As requested by students. 3 Hrs.
MATH 415 Introduction to Real Variable Theory
Careful axiomatic development of the real number system, limits of functions and real sequences,
continuity, theory of differentiation and integration. Prerequisite: MATH 221. Spring
Term, odd years. 3 Hrs.