2007-2008 Undergraduate Catalog - Kettering University

152 / Kettering University
of complex numbers, analytic functions and the Cauchy-Riemann equations,
elementary transformations, complex integration, the Cauchy integral
formulas, Taylor and Laurent series, and the theory of residues. Terms Offered:
As Needed
MATH-416 Vector Analysis 4 0 0 4
Prerequisite: MATH-203
Minimum Class Standing: SOII
An introduction to vector algebra and calculus including vector products,
vector functions, and their differentiation and integration, gradients, line and
surface integrals, conservative fields and potentials functions, Green’s
theorem, parametric equations, curvature, and curvilinear coordinates. Terms
Offered: Winter, Spring
MATH-418 Intermediate Differential Equations 4 0 0 4
Prerequisites: MATH-204, MATH-305
Minimum Class Standing: JRI
A study of systems of linear and nonlinear ordinary differential equations
(ODE’s). Systems of linear ODE’s, matrix methods, variation of parameters,
and perturbation methods and boundary layers, phase portraits and stability
of nonlinear ODE’s. Numerical methods for solving systems of ODE’s will
be presented and used to solve physical problems of applied mathematics
and engineering. Terms Offered: Summer, Fall
MATH-420 Mathematical Modeling 4 0 0 4
Prerequisites: MATH-204, MATH-205, MATH-305
Minimum Class Standing: JRI
A study of the process of translating real-world problems into mathematical
models. Various methods of formulation and solution of models will be
illustrated by practical examples. Terms Offered: Summer, Fall
MATH-421 Real Analysis II 4 0 0 4
Prerequisites: MATH-317, MATH-321
Minimum Class Standing: JRII
An introduction to the study of real functions including metric spaces, normed
linear spaces, Hilbert Spaces, and linear operators. Terms Offered: Winter,
Spring
MATH-423 Partial Differential Equations 4 0 0 4
Prerequisites: MATH-305, MATH-313
Minimum Class Standing: JRI
This course is a continuation of MATH-313. Topics include Bessel’s equation
and Legendre’s equation, boundary value problems in curvilinear coordinate
systems, Green’s functions for ordinary and partial differential equations.
Applications to problems of science and engineering will be given throughout
the course. Terms Offered: Winter, Spring
MATH-426 Mathematical Statistics I 4 0 0 4
Prerequisite: MATH-205, or MATH-227, or MATH-408
Minimum Class Standing: SRI
A study of random variables and their distribution functions including
expectations, transformations, moment generating functions, stochastic
independence, and sampling distribution. Also, a study of order statistics
and limiting distributions of sample mean. Terms Offered: Summer, Fall
MATH-427 Mathematical Statistics II 4 0 0 4
Prerequisite: MATH-426
Minimum Class Standing: SRII
A further study of statistics including point and interval estimation, sufficient
statistics, Bayes estimates, UMP tests, likelihood ratio tests, goodness of fit
tests, and an introduction to non-parametric methods. Terms Offered: Winter,
Spring
MATH-428 Sampling Theory 4 0 0 4
Prerequisite: MATH: 426
Minimum Class Standing: SRI
A study of sampling theory including probability sampling, simple random
sampling, sample size estimates, stratified sampling, and cluster sampling.
Terms Offered: Winter, Spring
MATH-438 Data Analysis for Engineers and Scientists 4 0 0 4
Prerequisite: IME-332, or MATH-205, or MATH-227, or MATH-408
Minimum Class Standing: SRI
This course will cover topics in sampling techniques, data analysis and
regression, design of experiments, and statistical quality and process control.
In this course, the student will be given hands-on experience by combining
lectures with laboratory classes involving the use of computers and appropriate
statistical packages. The student taking this course is assumed to have taken
an introductory course in probability and statistics. Terms Offered: As Needed
MECH-100 Engineering Graphical Communication 2 0 4 4
Prerequisite: NA
Minimum Class Standing: FR
This computer aided design and drafting course is an introduction to
engineering graphics and visualization with topics to include sketching, line
drawing, wire-frame section development and elements of solid modeling.
Also, this course will include the development and interpretation of drawings
and specifications for product realization. CAD, office, and web-based
software will be used in student presentations and analysis. Terms Offered:
All
MECH-210 Mechanics I 4 0 0 4
Prerequisite: MATH-101
Corequisites: PHYS-114, PHYS-115, MATH-102
Minimum Class Standing: SO
This course deals with a discussion and application of the following
fundamental concepts: (1) static force analysis of particles, rigid bodies, plane
trusses, frames, and machines; (2) first and second moments of area; (3)
friction; (4) internal forces; and (5) stress deflection analysis of axially loaded
members. Topics covered will be (1) the static force and moment equilibrium
of two and three dimensional systems; (2) resultant forces and moments due
to the application of concentrated and/or distributed loads; (3) couples; (4)
the center of mass and the area moment of inertia of a rigid body; (5) shear
force and bending moment diagrams of a rigid body; and (6) the stress and
deflection analyses of axially loaded members. Free body diagrams will be
formulated in a computer-aided environment in order to enhance the students’
critical thinking and problem solving capabilities. Several open-ended
homework and mini projects will be assigned in order to incorporate a design
experience in the course. Terms Offered: All
MECH-212 Mechanics II 4 0 0 4
Prerequisite: MECH-210
Minimum Class Standing: SO
The fundamental topics of this course include: normal and shear stress and
strain, Hooke’s law, Poisson’s ratio, generalized Hooke’s law, axial translation,
torsion of circular bars, angle of twist, bending of beams, flexure formula,
flexural shear stress, beam deflections, combined stresses, transformation of
stresses, Mohr’s circle, statically indeterminate problems, columns. The use
of basic computational tools will be introduced at the end of several lecture
modules including: axial loading, torsional loading, and flexural loading.
Homework and design projects will be assigned. Terms Offered: All
MECH-231L Signals for Mechanical Systems Lab 0 0 2 1
Corequisites: EE-212
Minimum Class Standing: SO
This lab complements the electrical engineering course, EE-212, and provides
the necessary knowledge and skills of electrical engineering to non-electrical
engineering majors. It teaches students how to use sensors and instruments
to make meaningful measurements in mechanical and electrical engineering
systems. This lab course introduces students to: (1) the laws and methods of
circuit analysis (2) sensors used in measurements of displacement,
temperature, strain and fuel cell systems and (3) the amplifiers and other
instrumentation used to process the signals from these sensors. Terms Offered:
All
MECH-300 Computer Aided Engineering 2 0 4 4
Prerequisites: MECH-100, MECH-212
Minimum Class Standing: JR
This is a threaded continuation of MECH-100, Engineering Graphical
Communication using computer graphics and computer aided design