2007-2008 Undergraduate Catalog - Kettering University

Course Descriptions / 151
MATH-102 Calculus II 4 0 0 4
Prerequisite: MATH-101 or MATH 101X
Minimum Class Standing: FR
Riemann integration and the Fundamental Theorem of Calculus, including
applications to area, volume, etc., and basic methods for conversion of
integrals including change of variable, substitutions, partial fractions,
integration by parts, improper integrals and numerical integration. Also
introduced are sequences and series in one variable with emphasis on Taylor
Series. Computer software will be used to aid in understanding these topics.
Terms Offered: All
MATH-122 Integral Calculus and Series 4 0 0 4
Prerequisite: MATH-101 or MATH 101X or permission of the Department
Head
Minimum Class Standing: FR
Integration of algebraic and transcendental functions, basic techniques of
integration, infinite series, partial differentiation, and multiple integration
involving areas. Applications to the field of business and management. This
is the second calculus course for management students. Terms Offered: Winter,
Spring
MATH-203 Multivariate Calculus 4 0 0 4
Prerequisite: MATH-102
Minimum Class Standing: FR
A study of polar coordinates, parametric equations, and the calculus of
functions of several variables with an introduction to vector calculus. Topics
include surface sketching, partial derivatives, gradients, differentials, multiple
integrals, cylindrical and spherical coordinates and applications. Computer
software will be used to aid in understanding these concepts. Terms Offered:
All
MATH-204 Differential Equations and Laplace Transforms
Prerequisite: MATH-203 4 0 0 4
Minimum Class Standing: FRI
An introduction to the principles and methods for solving first order, first
degree differential equations, and higher order linear differential equations.
Includes a study of the Laplace transform and its application to the solution
of differential equations. Also included is an introduction to Fourier series.
Existence and uniqueness theorems for O.D.E.’s are also discussed. Terms
Offered: All
MATH-205 Applied Probability and Statistics 4 0 0 4
Prerequisite: MATH-203
Minimum Class Standing: SOI
Corequisite: The student may take MATH-203 as a co-req but must have
permission from the instructor.
The study of the basic concepts and methods of probability and statistics.
Topics covered include introduction to the field of probability and statistics,
sample spaces, counting techniques, laws of working with probability and
conditional probability independence. Families of discrete and continuous
random variables, expected values and other measures are considered. The
central limit theorem is emphasized along with an introduction to sampling
theory, parameter estimation and hypotheses testing. Terms Offered: All
MATH-226 Statistics for Management I 4 0 0 4
Prerequisite: MATH-101
Minimum Class Standing: SOI
A study of the basic concepts and methods of probability and an introduction
to statistics. Topics covered include the fundamental concepts of probability
and families of discrete and continuous random variables. Also included are
the Central Limit Theorem, and estimation and tests of hypotheses for
parameters for a single population. The course also includes an introduction
to MINITAB, a statistical computing package. Terms Offered: Summer, Fall
MATH-227 Statistics for Management II 4 0 0 4
Prerequisite: MATH-226
Minimum Class Standing: SOII
This course is a continuation of MATH-226. Estimation and tests of
hypotheses are extended to include parameters for more than one population.
Non-parametric methods and analysis of variance are introduced. Regression
and correlation analysis are covered extensively. The statistical computing
package of MINITAB is utilized throughout the course. Terms Offered: Winter,
Spring
MATH-305 Numerical Methods and Matrices 4 0 0 4
Prerequisite: MATH-204
Minimum Class Standing: SOII
An introduction to numerical methods including the study of iterative solutions
of equations, interpolation, curve fitting, numerical differentiation and
integration, and the solution of ordinary differential equations. An introduction
to matrices and determinants; application to the solution of linear systems.
Terms Offered: All
MATH-307 Matrix Algebra 4 0 0 4
Prerequisite: MATH-101
Minimum Class Standing: NA
A study of matrix concepts including such topics as basic algebraic operations,
determinants, inversion, vector spaces, basis and dimension, solution of
systems of linear equations, eigenvalues, and eigenvectors. Terms Offered:
All
MATH-313 Boundary Value Problems 4 0 0 4
Prerequisite: MATH-204
Minimum Class Standing: SOII
An introduction to linear partial differential equations (PDE’s) and basic
techniques of applied mathematics used to solve initial, boundary value
problems associated with these equations. Topics include: derivation of some
of the fundamental PDE’s’ and boundary conditions that arise in science and
engineering; Fourier Series; Sturm-Liouville Systems including eigenvalues,
eigenfunctions and eigenfunction expansions; the separation of variables
techniques; Fourier Transforms. Applications to problems of science and
engineering will be given throughout the course. Terms Offered: Summer,
Fall
MATH-317 Advanced Matrix Theory 4 0 0 4
Prerequisite: MATH-307
Minimum Class Standing: JR
A study of theory and applications of matrix algebra including determinants,
rank, linear transformations, characteristic values, functions of matrices,
orthogonality, similarity, and other advanced topics. Terms Offered: As Needed
MATH-321 Real Analysis I 4 0 0 4
Prerequisite: MATH-203
Minimum Class Standing: JR
A more advanced study of functions in one real variable including limits,
uniform continuity, differentiation, integration, and sequences and series of
functions; topology of R. Terms Offered: As Needed
MATH-328 Methods of Applied Mathematics 4 0 0 4
Prerequisite: MATH-204
Minimum Class Standing: JRI
Topics from advanced calculus, dimensional analysis and scaling, perturbation
and asymptotic methods, calculus of variations and integral equations.
Applications of these tools to problems in engineering will be included. Terms
Offered: Winter, Spring
MATH-408 Probability and Statistics 4 0 0 4
Prerequisite: MATH-203
Minimum Class Standing: SOII
A basic understanding of the concepts of probability and statistics is provided.
Elementary combinatorics, fundamentals of probability, families of discrete
and continuous probability distributions, and the Central Limit Theorem are
considered. The basic descriptive measures as well as basic concepts of
estimation and tests of hypotheses are considered. The uses of probability
and statistics in engineering areas are illustrated. A brief introduction to
MINITAB (a statistical package) is given. Terms Offered: All
MATH-412 Complex Variables 4 0 0 4
Prerequisite: MATH-203
Minimum Class Standing: SO
An introduction to the theory of complex variables. Includes basic algebra