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MATH 1900 - Survey of Mathematical Ideas
A survey of significant, active areas of mathematics with the emphasis on concepts rather than calculations. The historical origin and development of certain mathematical ideas will be included. The areas of mathematics investigated will include topics from set theory, probability theory, number theory, computer mathematics, and graph theory. This course will not satisfy any program requirements in mathematics.
Prerequisites & Corequisites: Prerequisite: MATH 1100 or satisfactory score on Mathematics Department placement mechanism. ACT/SAT score of 19/460 or greater.
Credits: 4 hours
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MATH 2000 - Calculus with Applications
A terminal one semester course in calculus with emphasis on techniques and applications. Topics include functions, limits, differentiation, integration and applications. This course should not be elected by those students taking courses in the MATH 1220 to 1230 sequence.
Prerequisites & Corequisites: Prerequisite: MATH 1110, or 1-1/2 years high school algebra and 1 year high school geometry and satisfactory score on placement mechanism. ACT/SAT score of 24/560 or greater. Students who take more than one of MATH 1220, 1700, or 2000 will receive only 4 hours of credit toward graduation.
Credits: 4 hours
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MATH 2300 - Elementary Linear Algebra
Vectors and geometry in two and three dimensions, systems of linear equations, matrix algebra, linear transformations in R2 and R3, generalizations to the vector spaces Rn, inner products, determinants. Some emphasis on proofs.
Prerequisites & Corequisites: Prerequisite: MATH 1220 or 1700 (MATH 1230 or 1710 recommended).
Credits: 4 hours
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MATH 2650 - Probability and Statistics for Elementary/Middle School Teachers
This course covers concepts of statistics and probability appropriate for elementary and middle school teachers. Topics include statistical techniques for organizing, summarizing, presenting, and interpreting data sampling techniques; simulation methods; counting techniques; and analytic methods in probability. Computers are used to reinforce major course ideas.
Prerequisites & Corequisites: Prerequisite: MATH 1500 with a grade of “C” or better.
Credits: 4 hours
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MATH 2720 - Multivariate Calculus and Matrix Algebra
Vectors and geometry in two and three dimensions, matrix algebra, determinants, vector differentiation, functions of several variables, partial differentiation, linear transformations, multiple integration, and change of variables. The computer algebra system Maple will be used to explore some of these topics.
Prerequisites & Corequisites: Prerequisite: MATH 1710 or MATH 1230.
Credits: 4 hours
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MATH 3140 - Mathematical Proofs
The prime objective of this course is to involve the students in the writing and presenting of mathematical proofs. The topics in this course will include logic, types of proof, sets, functions, relations, mathematical induction, proofs in an algebraic setting such as divisibility properties of the integers, proofs in an analytic setting such as limits and continuity of functions of one variable. Additional topics may include elementary cardinal number theory, paradoxes and simple geometric axiom systems. This course is approved as a writing-intensive course which may fulfill the baccalaureate-level writing requirement of the student’s curriculum.
Prerequisites & Corequisites: Prerequisites: MATH (1230 or 1710) and MATH (2300 or 3740).
Credits: 3 hours
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MATH 3300 - Modern Algebra I
This course introduces the abstract algebraic concepts of groups, rings, and fields, and shows how they relate to the problem of finding roots of polynomials. Topics include: Properties of the integers, congruences, the Euclidean algorithm, groups, subgroups, cosets, Lagrange’s theorem, direct product, isomorphism, symmetric groups, rings, integral domains, polynomial rings, fields, field extensions, quotients of polynomial rings.
Prerequisites & Corequisites: Prerequisite: MATH 3140.
Credits: 4 hours
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MATH 3400 - Fundamental Concepts of Geometry
This course examines the axiomatic structures of Euclidean geometry and elementary non-Euclidean geometries. Transformational approaches to Euclidean geometry are also considered.
Prerequisites & Corequisites: Prerequisite: MATH 3140.
Credits: 3 hours
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MATH 3500 - Teaching of Middle School Mathematics
This course considers curriculum issues and trends in middle school mathematics focusing on methods and materials for teaching mathematics effectively to middle school students. Activity and laboratory approaches for teaching mathematics are emphasized.
Prerequisites & Corequisites: Prerequisite: MATH 3140
Credits: 3 hours
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MATH 3510 - Computing Technology in Secondary School Mathematics
This course introduces uses of computing technology to enhance and extend the learning of mathematical topics in grades 7 to 12. Emphasis is placed on the use of technology in problem solving and concept development. This course is open only to students pursuing a program leading to secondary mathematics teacher certification.
Prerequisites & Corequisites: Prerequisite: MATH 3500 with a grade of “C” or better.
Credits: 3 hours
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MATH 3520 - Teaching of Elementary/Middle School Mathematics
This course covers curriculum and instructional issues in elementary school mathematics.
Prerequisites & Corequisites: Prerequisites: MATH 1510 and MATH 2650 with grades of “C” or better and admittance to the Elementary Education Program in the College of Education and Human Development.
Credits: 3 hours
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MATH 3740 - Differential Equations and Linear Algebra
Slope fields, first order differential equations and applications, linear differential equations, numerical methods, solution of systems of linear algebraic equations, eigenvalues and eigenvectors, systems of differential equations, and series solutions. The computer algebra system Maple will be used to explore some of these topics.
Prerequisites & Corequisites: Prerequisite: MATH 2720
Credits: 4 hours
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MATH 3900 - Undergraduate Seminar
This seminar features student participation covering mathematical topics not normally included in regular major programs. May be repeated for credit.
Prerequisites & Corequisites: Prerequisite: permission of Department.
Credits: 1 hour
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MATH 3950 - Practicum in Mathematics
Students enrolled in this course will normally work in the Developmental Mathematics Program. The course may be repeated.
Prerequisites & Corequisites: Prerequisite: consent of instructor.
Credits: 1 hour
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MATH 4020 - Mathematical Modeling
This course is an introduction to mathematical modeling. The major goal of this course is to learn about the formulation and solution of mathematical problems from real world situations. Representing practical and scientific problems in mathematical terms may give a better understanding of the problem and may allow prediction of future events. Case studies will involve different applications and will use a variety of techniques. Computer programs will be used to analyze some problems. This course is approved as a writing-intensive course which may fulfill the baccalaureate-level writing requirement of the student’s curriculum. A writing project involving a mathematical model is required of all students.
Prerequisites & Corequisites: Prerequisite: MATH 3740 and working knowledge of a high-level mathematical computer package or knowledge of a computational computer language..
Credits: 3 hours
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MATH 4050 - Financial Mathematics
This is an introductory course on financial mathematics primarily serving students with an applied mathematics, economics and finance major or an actuarial science minor. It illustrates how the concepts from calculus, and probability can help in establishing models to study interest theory, portfolio management and option pricing problems. This course will also benefit students from other disciplines in learning how to use methods in mathematics to study real world problems.
Prerequisites & Corequisites: Prerequisite: MATH 2720 or instructor approval.
Credits: 3 hours
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MATH 4080 - Linear Programming
Linear programming and its applications. This course will cover basic theory and applications of linear programming. The topics will include convex geometry, the simplex algorithm, and duality. The applications may include problems in the areas of network optimization, the transportation problem, the assignment problem, the diet problem, cluster analysis, L1 fits, game theory, and scheduling.
Prerequisites & Corequisites: Prerequisite: MATH 2300 or 3740.
Credits: 3 hours
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MATH 4300 - Modern Algebra II
This course continues MATH 330 by studying groups, rings, and fields in more generality and detail. Topics are chosen from: Group homomorphism, normal subgroups, quotient groups, the fundamental homomorphism theorem, groups acting on sets, Sylow’s theorem, ring homomorphisms, ideals, quotient rings, Euclidean domains, principal ideal domains, unique factorization domains.
Prerequisites & Corequisites: Prerequisite: MATH 3300.
Credits: 3 hours
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MATH 4400 - Graphs and Mathematical Models
Elements of graph theory, including the study of Eulerian graphs, Hamiltonian graphs, planar graphs, trees, digraphs, and the applications of graphs as models. Emphasis will be on proofs and proof techniques. Examples of other discrete models may be considered.
Prerequisites & Corequisites: Prerequisites: MATH 1450 or MATH 3140 or consent of instructor.
Credits: 3 hours
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MATH 4450 - Algorithmic and Applied Combinatorics
An algorithmic approach to combinatorics including graph theory, enumeration, and applications.
Prerequisites & Corequisites: Prerequisites: MATH 1450 or MATH 3140 (CS 1110 recommended).
Credits: 3 hours
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MATH 4500 - Teaching of Secondary School Mathematics
This course considers curriculum issues and trends in secondary school mathematics focusing on methods and materials for teaching mathematics effectively to secondary school students.
Prerequisites & Corequisites: Prerequisite: MATH 3510 and one of MATH 3300 or MATH 3400.
Credits: 3 hours
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MATH 4900 - Topics in Mathematics
The content of this course varies with the semester offered and with the instructor. The course is intended to introduce students to significant topics not ordinarily encountered and to present more variety in their undergraduate programs. May be taken more than once with the approval of the student’s advisor.
Prerequisites & Corequisites: Prerequisite: Approval of Department.
Credits: 3 hours
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MATH 5070 - Numerical Analysis I
The analysis and use of numerical algorithms for the solution of nonlinear equations, systems of linear equations, interpolation, numerical differentiation and integration.
Prerequisites & Corequisites: Prerequisites: MATH 3740 and a computer programming language beyond Basic, e.g., Fortran or C.
Credits: 3 hours
Notes: Undergraduates with junior status and 12 hours of work in mathematics and statistics may enroll in 5000-level courses with prior approval of the department chair
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MATH 5100 - Applied Matrix Algebra
An introduction to the study of methods to solve linear systems of equations, least squares approximation problems, and eigenvalue problems. Topics covered include the algebra of real and complex matrices with particular emphasis on LU-decompositions, QR-decompositions, singular value decompositions, generalized inverses, Hermitian symmetric matrices, positive definite matrices and the Spectral Theorem. Applications from multivariate calculus will be discussed.
Prerequisites & Corequisites: Prerequisites: Either MATH 2300 and MATH 2720, or MATH 3740.
Credits: 3 hours
Notes: Undergraduates with junior status and 12 hours of work in mathematics and statistics may enroll in 5000-level courses with prior approval of the department chair.
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MATH 5220 - Introduction to Topology
Topics to be chosen from: Topological spaces and continuous functions, metric spaces, connectivity, separation axioms, compactness, product and quotient spaces, paracompactness, and manifolds.
Prerequisites & Corequisites: Prerequisite: MATH 3300 or MATH 5700.
Credits: 3 hours
Notes: Undergraduates with junior status and 12 hours of work in mathematics and statistics may enroll in 5000-level courses with prior approval of the department chair.
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MATH 5270 - Differential Geometry of Curves and Surfaces
An introduction to Riemannian Geometry with emphasis on curves and surfaces. Topics may include isometries, orientation, differential forms, curvature, metrics, and geodesics.
Prerequisites & Corequisites: Prerequisites: MATH 2720 and either MATH 2300 or MATH 3740 (MATH 3140 recommended).
Credits: 3 hours
Notes: Undergraduates with junior status and 12 hours of work in mathematics and statistics may enroll in 5000-level courses with prior approval of the department chair.
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MATH 5300 - Linear Algebra
Properties of finite dimensional abstract vector spaces, linear transformations, and matrix algebra are studied.
Prerequisites & Corequisites: Prerequisite: MATH 3300.
Credits: 3 hours
Notes: Undergraduates with junior status and 12 hours of work in mathematics and statistics may enroll in 5000-level courses with prior approval of the department chair.
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MATH 5540 - Algebra for the Elementary/Middle School Teachers
This course is devoted to the learning of algebra in elementary and middle grades. Concepts and skills are developed and reinforced using a variety of approaches and materials. Computing technologies are used throughout the course to develop concepts; to explore the connections among numeric, graphic, and symbolic representations of mathematical ideas; and to model and solve problems involving quantitative variables.
Prerequisites & Corequisites: Prerequisites: MATH 1500, 1510, 2650, and 3520 with grades of “B” or better or instructor approval.
Credits: 4 hours
Notes: Undergraduates with junior status and 12 hours of work in mathematics and statistics may enroll in 5000-level courses with prior approval of the department chair.
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MATH 5550 - Mathematical Modeling and Problem Solving for the Elementary/Middle School Teachers
This course provides experiences in mathematical modeling and problem solving for elementary/middle school teachers. Problem contexts are selected to deepen students’ understanding of important ideas in number theory, algebra, geometry, probability, statistics, and the conceptual underpinnings of calculus.
Prerequisites & Corequisites: Prerequisites: MATH 5540 with a grade of “C” or better or instructor approval.
Credits: 4 hours
Notes: Undergraduates with junior status and 12 hours of work in mathematics and statistics may enroll in 5000-level courses with prior approval of the department chair.
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MATH 5700 - Advanced Calculus I
Properties of real numbers, Cauchy sequences, series, limits, continuity, differentiation, Riemann integral, sequences and series of functions.
Prerequisites & Corequisites: Prerequisites: MATH 2720 and 3140 (3300 is recommended).
Credits: 4 hours
Notes: Undergraduates with junior status and 12 hours of work in mathematics and statistics may enroll in 5000-level courses with prior approval of the department chair.
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MATH 5710 - Advanced Calculus II
Topology of n-dimensional space, continuity and differentiability of functions of one variable; Riemann-Stieltjes integral; convergence of sequences and series of functions; Fourier series; analysis of functions of several variables.
Prerequisites & Corequisites: Prerequisite: MATH 5700 or approval of advisor.
Credits: 3 hours
Notes: Undergraduates with junior status and 12 hours of work in mathematics and statistics may enroll in 5000-level courses with prior approval of the department chair.
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MATH 5720 - Vector Calculus and Complex Variables
Functions of several variables, implicit and inverse functions, Jacobians, multiple integrals, Green’s Theorem, divergence, curl, the Laplacian, Stokes’ Theorem, analytic functions, Laurent expansions, residues, argument principle, and conformal mapping.
Prerequisites & Corequisites: Prerequisite: MATH 3740.
Credits: 4 hours
Notes: Undergraduates with junior status and 12 hours of work in mathematics and statistics may enroll in 5000-level courses with prior approval of the department chair.
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MATH 5740 - Advanced Differential Equations
Series solutions at ordinary and singular points of linear ordinary equations, Bessel and Legendre functions, self-adjoint boundary value problems, Fourier series, solution of partial differential equations by separation of variables.
Prerequisites & Corequisites: Prerequisite: MATH 3740.
Credits: 3 hours
Notes: Undergraduates with junior status and 12 hours of work in mathematics and statistics may enroll in 5000-level courses with prior approval of the department chair.
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MATH 5800 - Number Theory
Diophantine equations, congruences, quadratic residues, and properties of number-theoretic functions.
Prerequisites & Corequisites: Prerequisite: MATH 3300.
Credits: 3 hours
Notes: Undergraduates with junior status and 12 hours of work in mathematics and statistics may enroll in 5000-level courses with prior approval of the department chair.
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MATH 5900 - In-Service Professional Development in Mathematics
This course develops specific professional skills related to the teaching and learning of pre-college mathematics. Final course outcomes have demonstrated applications to the mathematics classroom. This course may be repeated. Each offering of MATH 5900 will be given an appropriate subtitle which will be listed on the student’s official transcript. Students may earn up to three hours of credit for any given subtitle. Credit hours may be applied to continuing teacher certification programs with approval of the Teacher Certification Office, but will not be applicable to a new endorsement in mathematics nor to any graduate program within the Department of Mathematics. Graded on a Credit/No Credit basis. Prerequisite: Permission of instructor.
Credits: 1 to 3 hours
Notes: Undergraduates with junior status and 12 hours of work in mathematics and statistics may enroll in 5000-level courses with prior approval of the department chair.
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MATH 5950 - Topics in Elementary/Middle School Mathematics
This course addresses topics in mathematics content and pedagogy relative to the teaching and learning of elementary/middle school mathematics.
Prerequisites & Corequisites: Prerequisite: MATH 3520 or consent of instructor. Course may be repeated for credit.
Credits: 3 hours
Notes: Undergraduates with junior status and 12 hours of work in mathematics and statistics may enroll in 5000-level courses with prior approval of the department chair.
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MATH 5990 - Independent Study in Mathematics
Advanced students with good scholastic records may elect to pursue independently the study of some topic having special interest for them. Topics are chosen and arrangements are made to suit the needs of each particular student. May be repeated for credit.
Prerequisites & Corequisites: Prerequisite: Approval of chairperson of department.
Credits: 1 to 6 hours
Notes: Undergraduates with junior status and 12 hours of work in mathematics and statistics may enroll in 5000-level courses with prior approval of the department chair.
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MDSC 2010 - Medical Terminology
The language of medicine-through an understanding of the Greek and Latin derivations and construction of medical terms, the student learns the vocabulary of the health-related professions.
Credits: 1 hour
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MDVL 1450 - Heroes and Villains of the Middle Ages
An interdisciplinary course designed to introduce beginning students to the medieval roots of the individual, social, and institutional ideals and values of modern Western culture as they are expressed and exemplified in the images of medieval heroes and their counterparts. Students may not receive credit for both MDVL 1450 and HIST 1450.
Credits: 3 hours
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MDVL 5000 - Interdisciplinary Studies in Medieval Culture
An interdisciplinary course organized around selected topics in Medieval and Renaissance Studies. The focus may be in a specific period (The Twelfth Century), a religious movement (Monasticism), a political structure (Venice-A Renaissance City-state), or the social fabric (Medieval Man: Image and Reality).
Credits: 3 hours
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MDVL 5300 - Intrduction to Medieva Studies
This seminar is meant to serve as a guide to the study of the Middle Ages in its multiple disciplines. It is also intended as an introduction to the considerable resources for study available at Western and in the greater Kalamazoo region, including institutions and individuals students should know.
Credits: 3 hours
Notes: This class is open to Graduate students only.
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MDVL 5970 - Directed Study
Research on a selected topic in the field of Medieval Studies directed and supervised by a faculty member. Registration requires at least junior standing and approval by the Director of the Medieval Institute. May be repeated for credit.
Prerequisites & Corequisites: Prerequisite: Approval application required.
Credits: 1 to 3 hours
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ME 2200 - Processes and Materials in Manufacturing
Manufacturing principles and organization, principal processes used to make metal, plastic and ceramic parts, design considerations for computer integrated manufacturing, simultaneous engineering.
Credits: 4 hours
Lecture Hours - Laboratory Hours: (3 - 3)
When Offered: Fall, Spring, Summer I
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ME 2320 - Thermodynamics I
Fundamental laws of classic thermodynamics including ideal and non-ideal processes. Applications are studied in relationship to the traditional thermodynamic cycles and to alternate energy systems such as solar and wind energy.
Prerequisites & Corequisites: Prerequisites: MATH 1230 or 1710, PHYS 2050, PHYS 2060.
Credits: 3 hours
When Offered: Fall, Spring, Summer I
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ME 2500 - Materials Science
First course in the science of engineering materials. Relationships between microscopic structure and the mechanical properties of metals, polymers, and ceramics. Effects of environment on material properties.
Prerequisites & Corequisites: Prerequisites: CHEM 1100 and 1110, MATH 1220 or 1700.
Credits: 3 hours
Cross-Listed: AAE 2500
When Offered: Fall, Spring, Summer II
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ME 2530 - Statics and Mechanics of Materials
Forces and moments acting upon structural bodies under static loads. Concepts of vectors, free-body diagrams, shear and moment diagrams, centroids, moments of inertia and friction. Compression, tension, shear, torsion, and bending in structural members, including stress distribution, deflection, and buckling. (Not for students required to take ME 2570).
Prerequisites & Corequisites: Prerequisites: MATH 1230 or 1710 and CS 1022 or 1023.
Credits: 4 hours
When Offered: Fall
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ME 2560 - Statics
Forces and moments acting upon structural bodies under static loads. Concepts of vectors, free-body diagrams, shear and moment diagrams, centroids, moments of inertia and friction.
Prerequisites & Corequisites: Prerequisite: MATH 1230 or 1710.
Credits: 3 hours
When Offered: Fall, Spring, Summer I
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ME 2570 - Mechanics of Materials
Compression, tension, shear, torsion, and bending in structural members including stress distribution, deflection, buckling, and fatigue on engineering materials. Design and selection of simple machine members and a knowledge of design codes and standards are applied.
Prerequisites & Corequisites: Prerequisite: ME 2560
Credits: 3 hours
When Offered: Fall, Spring, Summer II
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ME 2580 - Dynamics
Kinematics and kinetics of particles, rigid bodies in translation, rotation, and plane motion. Includes impulse-momentum and work-energy methods. Introduction to vibrations.
Prerequisites & Corequisites: Prerequisites: ME 2560 or ME 2530, PHYS 2050, PHYS 2060.
Credits: 3 hours
When Offered: Fall, Spring, Summer I
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ME 3350 - Instrumentation
Principles of measurement, testing, and evaluation of mechanical and aeronautical engineering systems. Experimental design. Estimation of error. Technical report preparation.
Prerequisites & Corequisites: Prerequisites: ME 2570, ME 3620, ECE 2100, and writing requirement.
Credits: 3 hours
Lecture Hours - Laboratory Hours: (2 - 3)
When Offered: Fall, Spring, Summer I
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ME 3560 - Fluid Mechanics
Analysis of fluid systems and problems. Incompressible and compressible fluids, turbulent and laminar flows, subsonic and supersonic flows are covered. Pipe systems, flow orifices, and open channels. (Credit may not be earned in both ME 3560 and IME 3840.)
Prerequisites & Corequisites: Prerequisites: ME 2580, MATH 3740.
Credits: 3 hours
When Offered: Fall, Spring, Summer I
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ME 3580 - Mechanism Analysis
Analysis of displacement, velocity, and acceleration in mechanisms by analytical and graphical methods. Introduction to mechanism synthesis with computer applications.
Prerequisites & Corequisites: Prerequisite: ME 2580 with a grade of “C” or better and (CS1060 or CS 1022 or CS 1023).
Credits: 3 hours
When Offered: Fall, Spring
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ME 3600 - Control Systems
Theory and analysis of linear closed-loop control systems containing electronic, hydraulic, and mechanical components. Differential equations. LaPlace transforms, Nyquist and Bode diagrams are covered.
Prerequisites & Corequisites: Prerequisites: ME 2580, MATH 3740, ECE 2100.
Credits: 3 hours
When Offered: Fall, Spring, Summer I
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ME 3620 - Theory of Engineering Experimentation
Principles of experimental design using a statistical approach. Statistical analysis of experimental data with computer applications.
Prerequisites & Corequisites: Prerequisites: (MATH 1230 or MATH 1710) and (CS 1060 or CS 1022 or CS 1023 or CS 1110).
Credits: 3 hours
When Offered: Fall, Spring
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ME 3650 - Machine Design I
The application of engineering principles to the fundamental design of machine mechanisms and basic systems.
Prerequisites & Corequisites: Prerequisites: IME 1420, (ME 2200 or AAE 2610), (ME 2500 or AAE 2500), ME 2570, ME 2580.
Credits: 3 hours
Notes: This course is approved as a writing-intensive course which may fulfill the baccalaureate-level writing requirement of the student’s curriculum.
Lecture Hours - Laboratory Hours: (2 - 3)
When Offered: Fall, Spring, Summer I
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ME 3670 - Internal Combustion Engines I
Introduction to internal combustion engine systems and mechanical design. Consideration of factors affecting engine design using principles of engineering science. Analysis of common engine systems for reciprocating and continuous flow internal combustion engines.
Prerequisites & Corequisites: Prerequisites: MATH 2720, ME 2580, ME 2320.
Credits: 3 hours
Lecture Hours - Laboratory Hours: (2 - 3)
When Offered: Fall
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ME 4310 - Heat Transfer
Steady state and transient conduction, radiation functions, radiation networks, natural and forced convection, design of heat exchangers, and computer applications.
Prerequisites & Corequisites: Prerequisites: ME 2320, (ME 3560 or AAE 3710).
Credits: 3 hours
When Offered: Fall, Spring, Summer II
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ME 4320 - Thermodynamics II
Advanced topics including gas-vapor mixtures, combustion, and compressible flow.
Prerequisites & Corequisites: Prerequisites: ME 2320 or CHEG 3200; ME 3560 or CHEG 3110. (ME 3560 or CHEG 3110 may be taken concurrently).
Credits: 3 hours
Restrictions: Mechanical Engineering or Chemical Engineering majors only.
When Offered: Fall, Spring
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ME 4330 - Environmental Systems Design in Buildings
Theory of the conditioning of air, applications to the design of systems to control temperature, humidity, distribution, and ventilation. Computer simulation of buildings and systems.
Prerequisites & Corequisites: Prerequisites: ME 4310 or CHEG 3120; ME 4320.
Credits: 3 hours
Restrictions: Mechanical Engineering or Chemical Engineering majors only.
When Offered: Fall
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ME 4390 - Design of Thermal Systems
Application of energy concepts to thermal fluid design problems. Open ended design projects in incompressible and compressible fluid flows, thermodynamics, heat transfer, power generation, alternate energy systems including computer simulations. Experimentation and theoretical analysis verification with data analysis and report preparation.
Prerequisites & Corequisites: Prerequisites: ME 3350 or (CHEG 2810 and IME 2610); (ME 4310 or CHEG 3120).
Credits: 3 hours
Restrictions: Mechanical Engineering or Chemical Engineering majors only.
Lecture Hours - Laboratory Hours: (2 - 3)
When Offered: Fall, Spring
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ME 4530 - Machine Design II
The application of mechanical engineering concepts to the mechanical synthesis process. Computer-aided design, computer modeling, and optimization applied to the synthesis of a system.
Prerequisites & Corequisites: Prerequisite: ME 3650
Credits: 3 hours
Lecture Hours - Laboratory Hours: (2 - 3)
When Offered: Fall, Spring, Summer I
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ME 4560 - Subsonic Aerodynamics
Subsonic aerodynamics for engineers. The study of incompressible and compressible flow around bluff bodies. Computer applications to the solution of aerodynamic problems.
Prerequisites & Corequisites: Prerequisite: ME 3560. Mechanical Engineering or Aeronautical Engineering majors only.
Credits: 3 hours
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ME 4570 - Experimental Solid Mechanics
Principles and methods of mechanical testing, stress and strain analysis under monotonic and cyclic loading, fatigue behavior and fracture involving life prediction and prevention of failure. Experimentation and theory verification, including planning, testing, and data analysis with report preparation.
Prerequisites & Corequisites: Prerequisites: ME 2500 or AAE 2500, ME 2570, ME 3350.
Credits: 3 hours
Lecture Hours - Laboratory Hours: (2 - 3)
When Offered: Fall, Spring
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ME 4590 - Dynamics of Machinery
Kinematic and dynamic analyses of machine, mechanisms, and rotating systems. Topics include open and closed loop kinematic analyses, Newton’s law for rigid body motion, inertia, work and energy methods, flywheels static and dynamic balancing, Lagrange’s equations of motion, and introductory vibration analysis.
Prerequisites & Corequisites: Prerequisite: ME 3580
Credits: 3 hours
When Offered: Spring
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ME 4650 - Vehicle Dynamics
Design of ground vehicle suspension and steering systems. Vehicle ride, handling and safety systems. Passive and active suspension control.
Prerequisites & Corequisites: Prerequisites: ME 3580, ME 3600, ME 3650.
Credits: 3 hours
When Offered: Spring
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ME 4670 - Internal Combustion Engines II
Thermodynamic and fluid dynamic analysis of the reciprocating internal combustion engines and gas turbines. Combustion process analysis in engines. Engine performance calculation and prediction using properties of air fuel mixtures. Combustion chamber design. Environmental impact of engine design.
Prerequisites & Corequisites: Prerequisites: ME 3560, 3670, and 4310.
Credits: 3 hours
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ME 4680 - Engine Design
Application of the knowledge of the mechanics, thermodynamics and fluid mechanics to the design of internal combustion engines to meet specific mission requirements. Optimization of the design using computer modeling and parametric studies.
Prerequisites & Corequisites: Prerequisites: ME 3580, (ME 4670 or ME 4320).
Credits: 3 hours
Lecture Hours - Laboratory Hours: (2 - 3)
When Offered: Spring
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ME 4700 - Vehicle Structural Design
Structural design of surface and air vehicles to meet specific mission requirements. Design of structures with minimum weight and cost while maintaining structural integrity under the imposed loads.
Prerequisites & Corequisites: Prerequisites: ME 3580 and ME 3650.
Credits: 3 hours
When Offered: Fall
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ME 4710 - Motion and Control
Analysis and implementation of linear closed-loop motion control systems containing electrical, hydraulic, pneumatic and mechanical components. Analytical and experimental development of models for components and systems.
Prerequisites & Corequisites: Prerequisite: ME 3600 or ECE 3710.
Credits: 3 hours
Cross-Listed: ECE 4710
Lecture Hours - Laboratory Hours: (2 - 3)
When Offered: Fall
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ME 4790 - Mechanical and Aeronautical Engineering Project Planning
An introduction to the design process, including problem definition, decision making and project planning. Goal of the course is to develop a project proposal and work plan for a major design project.
Prerequisites & Corequisites: Prerequisites: ME 3350, ME 3600, (Group 2 elective or AAE 4500 or AAE 4600). (Group 2 elective or AAE 4500 or AAE 4600) may be taken concurrently.
Credits: 1 hour
When Offered: Fall, Spring, Summer I
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ME 4800 - Mechanical and Aeronautical Engineering Project
An engineering experience in completing an open-ended design project including synthesis, analysis, evaluation, and presentation. Classroom discussion subjects include legal, ethical and professional aspects of engineering practice.
Prerequisites & Corequisites: Prerequisites: ME 4790 and (Group 2 elective or AAE 4500 or AAE 4600.)
Credits: 3 hours
Notes: This course is approved as a writing-intensive course which may fulfill the baccalaureate-level writing requirement of the student’s curriculum.
Lecture Hours - Laboratory Hours: (1 - 6)
When Offered: Fall, Spring
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ME 4810 - Vehicle Design
Design of vehicle systems and/or subsystems.
Prerequisites & Corequisites: Prerequisites: ME 2320, ME 2570, ME 2580, (ME 2500 or AAE 2500), or by departmental approval.
Credits: 3 hours
Notes: This course meets for 2 lecture hours and 3 lab hours per week.
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ME 4900 - Independent Research and Development
Individual research or special project. Available only by special arrangement with an instructor and approved by the department chair.
Prerequisites & Corequisites: Prerequisite: Department approval.
Credits: 1 to 4 hours
When Offered: Fall, Spring, Summer I, Summer II
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ME 4950 - Topics in Mechanical Engineering: Variable Topics
A specialized course dealing with some particular area of mechanical engineering not included in other course offerings.
Prerequisites & Corequisites: Prerequisite: Consent of department.
Credits: 1 to 4 hours
Notes: May be repeated for credit with a different topic up to six credits.
When Offered: Fall, Spring, Summer I, Summer II
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ME 4980 - Independent Readings
An independent readings assignment, the description and purpose of which will be set forth on a form available at the department office.
Prerequisites & Corequisites: Prerequisite: Department approval.
Credits: 1 to 6 hours
When Offered: Fall, Spring, Summer I, Summer II
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ME 4990 - Independent Studies
An independent studies assignment available only by special arrangement with an instructor and approved by the department chair.
Prerequisites & Corequisites: Prerequisite: Department approval.
Credits: 1 to 6 hours
When Offered: Fall, Spring, Summer I, Summer II
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ME 5300 - Theoretical and Computational Fluid Mechanics
The theory and numerical implementation of ideal flow, viscous effects, and exact solutions of Navier-Stokes equations. Special emphasis will be on planning methods, conformal mapping, and singular distributions for flows around two- and three- dimensional bodies. Familiarity with VMS and some FORTRAN experience are required.
Prerequisites & Corequisites: Prerequisites: ME 3560 and consent of instructor.
Credits: 3 hours
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ME 5350 - Applied Spectroscopy
Fundamentals of spectroscopy including rotational, vibrational and electronic transitions of molecular species, absorption and fluorescence spectra, lineshape profiles and broadening mechanisms. Description of spectroscopic techniques and their application for the measurement of relevant quantities such as concentration, velocity and temperature in practical systems, including internal combustion engines. Experimental hardware used for spectroscopic measurements.
Prerequisites & Corequisites: Prerequisites: Senior or Graduate standing; and ME 3350 with a grade of “C” or better; or instructor approval.
Credits: 3 hours
Notes: Open to Upperclass or Graduate students.
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ME 5390 - Advanced Thermal Design
Theory and practical thermal system design using advanced computer-aided design tools with emphasis on modelling and optimization of modern thermal elements.
Prerequisites & Corequisites: Prerequisite: ME 4310.
Credits: 3 hours
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ME 5400 - Automatic Control of Flight Vehicles
Synthesis of basic auto pilot and stability augmentation systems for flight vehicles. Advanced flight control structures including integrated flight/fire control, control of inertial cross-coupling. Human pilot plus airframe and the relationships with flying qualities requirements. Extensive use of commercial software tools.
Prerequisites & Corequisites: Prerequisite: ME 3600.
Credits: 3 hours
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ME 5410 - Continuous System Modeling & Simulation
Principles and methods associated with simulating continuous dynamic systems in the mechanical and aeronautical engineering disciplines. Linear and non-linear systems. Time and frequency domain analyses. Brief introduction to real-time simulation. Extensive use of current simulation software.
Prerequisites & Corequisites: Prerequisites: ME 3600 or instructor approval.
Credits: 3 hours
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ME 5450 - Computational Fluid Dynamics I
Basics of Computational Fluid Dynamics (CFD) including classification of partial differential equations, finite difference formulations, parabolic partial differential equation, stability analysis, elliptic equations, hyperbolic equations, scalar representation of the Navier-Stokes equations and grid generation.
Prerequisites & Corequisites: Prerequisites: ME 3560, CS 2010.
Credits: 3 hours
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ME 5500 - Materials Science II
Advanced course in both metallic and non-metallic engineering materials, including commercial alloy systems, polymers, elastomers, composite materials, and ceramics. Mechanical and physical properties useful to design are related to composition, atomic structure, and manufacturing processes. Includes failure mechanisms of metals, ceramics, polymers, and composites.
Prerequisites & Corequisites: Prerequisites: ME 2200, ME 2320, and (ME 2500 or AAE 2500), and ME 2570.
Credits: 3 hours
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ME 5530 - Advanced Product Engineering
An engineering design project from concept to adoption. Static and dynamic analysis. Mechanical systems design and layout.
Prerequisites & Corequisites: Prerequisites: ME 3600, ME 4530.
Credits: 3 hours
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ME 5550 - Intermediate Dynamics
Three dimensional kinematics and dynamics of rigid bodies; equations of motion; Lagrange’s equations; work and energy; impulse and momentum; virtual work; stability; computer simulation; intro. to vibrations.
Prerequisites & Corequisites: Prerequisites: ME 258, MATH 374.
Credits: 3 hours
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ME 5580 - Mechanical Vibrations
A study of the oscillatory motion of physical systems with emphasis on the effects of vibrations on the performance and safety of mechanical systems.
Prerequisites & Corequisites: Prerequisites: ME 2580, MATH 3740.
Credits: 3 hours
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ME 5600 - Engineering Analysis
Application of vector analysis and differential equations to the solution of complex engineering problems.
Prerequisites & Corequisites: Prerequisite: ME 3600 or equivalent.
Credits: 3 hours
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ME 5610 - Finite Element Method
Development of finite element method for solution of one-, two-, and three-dimensional problems in heat transfer, fluid flow, structures and elasticity.
Prerequisites & Corequisites: Prerequisites: ME 2570, ME 3560, ME 4310, and MATH 3740 or equivalents.
Credits: 3 hours
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ME 5620 - Application of Numerical Methods in Engineering
Finite difference methods for initial value and boundary value problems; 2D finite differencing, boundary element methods applications to differential equations of heat transfer, fluid flow, and solid mechanics.
Prerequisites & Corequisites: Prerequisite: Consent of instructor.
Credits: 3 hours
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ME 5640 - Engineering Noise Control
Introduction to basic concepts of noise control. Nature of sound and its effects on our environment. Indoor and outdoor sound propagation. Noise standards and measurements. Case studies of real-world implementations of noise control engineering. Laboratory demonstrations.
Prerequisites & Corequisites: Prerequisites: MATH 3740, ME 2580.
Credits: 3 hours
Notes: This course meets for 2 lecture hours and 3 lab hours per week.
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ME 5690 - Principles of Fatigue and Fracture
Basics of experimental techniques and modeling used in industry to study inelastic deformations, fatigue, and fracture of engineering materials and structures.
Prerequisites & Corequisites: Prerequisite: ME 3650 or consent of instructor.
Credits: 3 hours
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ME 5710 - Gas Dynamics
Basic equations of compressible flow, isentropic relationships, and normal and oblique shock. Prandtl-Meyer expansion, Fanno Line, and Rayleigh Line flow. Applications to nozzles, diffusers, and supersonic wind tunnels. Linearized flows, method of characteristics.
Prerequisites & Corequisites: Prerequisites: ME 4310 and ME 4320.
Credits: 3 hours
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ME 5720 - Advanced Thermodynamics
Topics including the conditions of equilibrium, process and thermodynamic engines, the extremum principle, Maxwell relations, stability of thermodynamic systems, phase transitions, chemical thermodynamics, irreversible thermodynamics, and an introduction to the statistical thermodynamics.
Prerequisites & Corequisites: Prerequisites: ME 4310 and ME 4320.
Credits: 3 hours
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ME 5730 - Materials in Design
Material selection for resistance to both load and environment. Design parameters for material selection and various metal systems, corrosion, service failures, and mechanical behavior of engineering alloys at high and low temperatures.
Prerequisites & Corequisites: Prerequisites: (ME 2500 or AAE 2500) and (ME 3650 or MSE 4570).
Credits: 3 hours
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ME 5750 - Tribology - Principles and Applications
Surface chemistry, topographical measurement and description, contact mechanics, wear mechanisms, lubrication and film formation, application to friction and wear situations in machine elements.
Prerequisites & Corequisites: Prerequisites: ME 3560, ME 3650.
Credits: 3 hours
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ME 5770 - Fuel Cell and Alternative Energy
Fundamentals of fuel cells, working principles and types. Function of main components, basic chemistry and thermodynamics, electrochemistry. Alternative fuels and emerging energy technologies. Fuel cell and hydrogen era.
Prerequisites & Corequisites: Prerequisites: (ME 3670 or ME 4320) and ME 3560.
Credits: 3 hours
Lecture Hours - Laboratory Hours: (2-3)
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ME 5800 - System Modeling and Simulation
This is a first course in the principles of mathematical modeling of stochastic and deterministic systems. It will focus on analytical models, mathematical rigor and computer simulation of problems. Students will simulate a number of systems using appropriate stochastic and deterministic models using a computer. This course is cross-listed as ECE 5800.
Prerequisites & Corequisites: Prerequisites: (ECE 3710 or ME 3600) and ECE 3800 or equivalents.
Credits: 3 hours
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ME 5850 - Mechatronics
A course in fundamentals of motion control, primarily as it is applied to robotics. Students will learn the basics of control systems as applied to multiaxis servo systems. Appropriate time will be devoted to develop a sound basis in the electro-mechanical discipline. This course is cross-listed as ECE 5850.
Prerequisites & Corequisites: Prerequisites: ECE 2100, ME 2580 and (ECE 3710 or ME 3600).
Credits: 3 hours
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ME 5860 - System Identification
This is a course in model determination. Students will learn the basics of defining system structure and techniques for finding parametric values. The emphasis will be placed on the application of modeling to practical problems in the student’s specific discipline. This course is cross-listed as ECE 5860.
Prerequisites & Corequisites: Prerequisite: ECE 5800 or ME 5800.
Credits: 3 hours
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