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Course Criteria
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3.00 Credits
When Offered: Fall and spring terms annually. Credit Hours: 3
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1.00 - 9.00 Credits
Active participation in a Master's-level project under the supervision of a faculty adviser, leading to a master's project report. Grades of IP are assigned until the master's project has been approved by the faculty adviser. If recommended by the adviser, the master's project may be accepted by the Office of Graduate Education to be archived in the librarGraded: Grades will then be listed as S. Credit Hours: 1 to 9
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1.00 - 9.00 Credits
Active participation in research, under the supervision of a faculty adviser, leading to a master's thesis. Grades of IP are assigned until the thesis has been approved by the faculty adviser and accepted by the Office of Graduate Education to be archived in a standard format in the library. Graded: Grades will then be listed as S. Credit Hours: 1 to 9
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3.00 Credits
A continuation of the advanced presentation of mathematical methods useful in engineering practice. The course covers the Frobenius method for the solution of boundary value problems; the representation of arbitrary functions by characteristic functions; calculus of functions of more than one variable including the study of extreme; overview of calculus of variations; principles of vector and tensor analysis; analytical and numerical techniques for the solution of initial and boundary value problems in partial differential equations. Symbolic manipulation and scientific computation software used extensively. Emphasis on reliable computing is made throughout. Credit Hours: 3
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3.00 Credits
A presentation of the most common physical and mathematical modes used in the description of the mechanical behavior of materials. The course covers the microstructural and thermodynamic foundations of constitutive material behavior of interest in mechanical engineering applications; overview of elasticity and plasticity and their relationship to microstructural features; principles of rheology; viscoelasticity and creep; failure mechanisms including fracture crack propagation and fatigue crack growth. Particular attention throughout is given to the development of the ability to utilize the mathematical models to assess the reliability and life of mechanical engineering components at the design state. Credit Hours: 3
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1.00 - 15.00 Credits
Active participation in research, under the supervision of a faculty adviser, leading to a doctoral dissertation. Grades of IP are assigned until the dissertation has been publicly defended, approved by the doctoral committee, and accepted by the Office of Graduate Education to be archived in a standard format in the library. Graded: Grades will then be listed as S. Credit Hours: 1 to 15
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4.00 Credits
Functions, limits, continuity, derivatives, implicit differentiation, related rates, maxima and minima, elementary transcendental functions, introduction to definite integral with applications to area and volumes of revolution. When Offered: Fall and spring terms annually. Credit Hours: 4
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4.00 Credits
Techniques and applications of integration, polar coordinates, parametric equations, infinite sequences and series, vector functions and curves in space, functions of several variables, and partial derivatives. Prerequisites/Corequisites: Prerequisite: MATH 1010. When Offered: Fall and spring terms annually. Credit Hours: 4
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4.00 Credits
Basic concepts in differential and integral calculus for functions of one variable. Topics will include functions, limits, continuity, derivatives, integration, exponential and logarithmic functions, and techniques of integration. Application areas will include topics in Management, Architecture, and Social Sciences with special emphasis on the role of calculus in introductory probability. Prerequisites/Corequisites: Prerequisite: major in Management, Architecture or H&SS. When Offered: Fall term annually. Credit Hours: 4
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4.00 Credits
Functions of several variables, introductory linear algebra, and other analytical techniques needed for further study in probability, statistics, and operations research. Topics covered include improper integrals, probability density functions, partial derivatives and optimization techniques for functions of several variables, matrix algebra, linear systems, lines and planes in 3-space, linear inequalities, introductory linear programming, introductory combinatorics, and some probability. Prerequisites/Corequisites: Prerequisites: MATH 1010 or MATH 1500 and major in Management or Economics, or permission of instructor. When Offered: Spring term annually . Credit Hours: 4
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