2006-2007 Undergraduate Catalog - Kettering University

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Copyright & Disclaimer Information: Copyright © 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002, 2003, 2004, 2005, 2006, 2007. CollegeSource®, Inc. and Career Guidance Foundation. CollegeSource® digital catalogs are derivative works owned and copyrighted by CollegeSource®, Inc. and Career Guidance Foundation. Catalog content is owned and copyrighted by the appropriate school. While CollegeSource®, Inc. and Career Guidance Foundation provides information as a service to the public, copyright is retained on all digital catalogs. Copyright & Disclaimer Information: Copyright © 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002, 2003, 2004, 2005, 2006, 2007. CollegeSource®, Inc. and Career Guidance Foundation. CollegeSource® digital catalogs are derivative works owned and copyrighted by CollegeSource®, Inc. and Career Guidance Foundation. Catalog content is owned and copyrighted by the appropriate school. While CollegeSource®, Inc. and Career Guidance Foundation provides information as a service to the public, copyright is retained on all digital catalogs. MATH-227 Statistics for Management II 4 0 0 4 Prerequisite: MATH-226 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 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 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 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 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 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 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 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 An introduction to the theory of complex variables. Includes basic algebra of complex numbers, analytic functions and the Cauchy-Riemann equations, Course Descriptions / 149 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 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 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 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 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 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 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 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 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 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
Copyright & Disclaimer Information: Copyright © 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002, 2003, 2004, 2005, 2006, 2007. CollegeSource®, Inc. and Career Guidance Foundation. CollegeSource® digital catalogs are derivative works owned and copyrighted by CollegeSource®, Inc. and Career Guidance Foundation. Catalog content is owned and copyrighted by the appropriate school. While CollegeSource®, Inc. and Career Guidance Foundation provides information as a service to the public, copyright is retained on all digital catalogs. Copyright & Disclaimer Information: Copyright © 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002, 2003, 2004, 2005, 2006, 2007. CollegeSource®, Inc. and Career Guidance Foundation. CollegeSource® digital catalogs are derivative works owned and copyrighted by CollegeSource®, Inc. and Career Guidance Foundation. Catalog content is owned and copyrighted by the appropriate school. While CollegeSource®, Inc. and Career Guidance Foundation provides information as a service to the public, copyright is retained on all digital catalogs. 150 / Kettering University MECH-100 Engineering Graphical Communication 2 0 4 4 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 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: Summer, Fall MECH-212 Mechanics II 4 0 0 4 Prerequisite: MECH-210 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 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 This is a threaded continuation of MECH-100, Engineering Graphical Communication using computer graphics and computer aided design techniques. These advanced techniques use graphics primitives, construction functions, transformations, image control, dimensioning and layers. Both two-dimensional drawings and three-dimensional wireframe, surface modeling, and simulation modeling such as FEA and kinematic motion are covered. Terms Offered: All MECH-310 Mechanics III 4 0 0 4 Prerequisites: PHYS-114, PHYS-115, MATH 102, MECH-210 This course deals with a discussion and application of the following fundamental concepts: (1) application and basics of Newtonian mechanics and physical laws; (2) a study of the kinematics and kinetics of a particle including relative and absolute motion, friction concepts; (3) additional analysis of particle dynamics using work-energy and impulse-momentum methods, analysis of impact events; (4) analysis of a system of particle using work-energy, impulse, linear and angular momentum; (5) kinematics and kinetics of a rigid bodies analyzed in various reference systems; (6) additional analysis of rigid body dynamics using work-energy and impulse-momentum; (7) inertia quantities. Computational techniques will be incorporated into several design projects throughout the semester to illustrate alternative solution methods. Terms Offered: Summer, Fall MECH-311 Introduction to Mechanical System Design 2 0 4 4 Prerequisites: MECH-100, MECH-210 Corequisites: EE-212/MECH-231L The objective of the course is to teach fundamentals of machine elements and mechatronics design, with an emphasis on product design and fabrication. Design, analysis and fabrication of prototype mechatronic systems and devices are completed. Mechanical designs concepts including transmission methods, force and torque analysis, mechanisms and simulation is covered. Formal design processes such as brainstorming and concept-tree development are utilized. Intellectual property law pertinent to design and invention is covered. The synergistic combination of sensors, actuators and controls technologies to create functionally “smart” and adaptive devices is implemented. Sensors and actuator technologies are covered. The course culminates with an openended project to design and fabricate a mechatronic system using basic machining equipment and a programmable controller. Terms Offered: All MECH-312 Mechanical Component Design I 4 0 0 4 Prerequisites: MECH-212, MECH-311 This course involves application of theory and techniques learned in the mechanics courses to the concepts of mechanical component design. Through lectures and class example and homework problems the student will be introduced to design methodology. This methodology requires learning to develop and set-up a mechanical component design problem, through properly understanding and solving the problem based upon the given data, design constraints, making and verifying assumptions. Selection of the proper analytical tools as required, producibility and maintainability of the design, materials selection, safety, and cost considerations. Take-home project problems will enhance and demonstrate the type of study and research required for design. Topics to be studied include strength and fatigue considerations, shaft design, threaded fasteners, lubrication and bearings, springs, and fundamentals of gear analysis, including forces, stresses and terminology. Terms Offered: Winter, Spring MECH-320 Thermodynamics 4 0 0 4 Prerequisites: PHYS-224, PHYS-225 A study of the first and second laws of thermodynamics and their application to energy transformations during various processes. Property relations are studied for pure substances, ideal gases, mixture of ideal gases, and atmospheric air. Steam power cycles, refrigeration cycles, spark-ignition and compression-ignition engines, and turbine cycles are evaluated to determine performance parameters and energy efficiencies. Terms Offered: Winter, Spring MECH-322 Fluid Mechanics 4 0 0 4 Prerequisite: MECH-320 This is a first course in Fluid Mechanics that involves the study of fluid flow in ducts and over objects. The course introduces the fundamental aspects of fluid motion, fluid properties, flow regimes, pressure variations, fluid kinematics, and methods of flow description and analysis. Presents the conservation laws in their differential and integral forms, and their use in analyzing and solving fluid flow problems. In addition, the concept of using similitude and dimensional analysis for organizing test data and for planning experiments is introduced. The effects of fluid friction on pressure and velocity distributions are also discussed. The effects of compressibility (various density) on fluid flows are also included. Terms Offered: Summer, Fall MECH-325 Introduction to Energy Systems 4 0 0 4 Prerequisites: MATH-102, Junior Standing This introductory course is designed for non-mechanical engineering students. It integrates the fundamental principles of thermodynamics, fluid mechanics and heat transfer. Basic principles of thermodynamics are followed by properties of pure substances, application of the first and second laws of thermodynamics to thermal systems, application of conservation of mass, momentum and energy to fluid systems, principles of conduction, convection and thermal radiation. Topics such as thermodynamic cycles, internal and
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2006-2007 Undergraduate Catalog - Kettering University

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