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- Catalog Description
- 547 Engineering Analysis I. (Crosslisted with EMA 547.) I; 3 cr (P-I). Methods of higher
mathematics; stress on problem solving rather than rigorous proofs; linear algebra, calculus of
variations, Green's function. P: Yr adv calc such as Math 321 & 322.
- Course Prerequisite(s)
- Two of Math 319, 321, 322, 340 or equivalents
- Prerequisite knowledge and/or skills
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Differential and integral calculus of one variable
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Elements of vector calculus, complex variables, linear analysis and matrix algebra
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Basics of solving ordinary differential equations
- Textbook(s) and/or other required material
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M.D. Greenberg, "Foundations of Applied Mathematics," Prentice-Hall, 1978.
Reference Books:
M.A. Abramowitz and I.A. Stegun, Eds., "Handbook of Mathematical Functions," Dover, 1965 or abridged versions.
I.S. Gradshteyn and I.M. Ryzhik, "Tables of Integrals, Series, and Products," Academic Press, 1965.
- Course objectives
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The primary objectives of this applications-oriented course are to:
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Expose engineering students to the most important analytical areas of applied mathematics that are useful in graduate level engineering problem solving.
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Show how contemporary applied mathematics is used to solve key physical problems from Newtonian mechanics, fluid mechanics and heat diffusion.
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Whet graduate students appetite for taking advanced mathematics courses in key specialty areas relevant to their thesis research.
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Desired student outcomes are:
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Basic competence in all the important areas of applied mathematics for graduate level engineering applications.
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An understanding of how contemporary applied mathematics is used in conjunction with physical principles to develop detailed models for describing the key physical processes governing engineering applications.
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Graduate students appreciate areas where they need additional backgound in applied mathematics and they take relevant Mathematics Department courses.
- Topics covered
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Real variable theory -- limits, series, generalized functions, Fourier and Laplace transforms, vector field theory, calculus of variations
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Complex variable theory -- contour integration, residue theorem, conformal mapping
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Linear analysis -- linear operators, matrices, eigenvalue problems
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Ordinary differential equations -- first and higher order, Green's function solutions, qualitative and quantitative methods
- Class/laboratory schedule
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EMA/NEEP 547 meets twice a week in conventional 75-minute class periods.
- Contribution of course to meeting the professional component
- This course contributes primarily to the students' knowledge of engineering topics, but does not provide design experience.
The following statement indicates which of the following considerations are included in this course: economic, environmental, ethical, political, societal, health and safety, manufacturability, sustainability.
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This optional course contributes only indirectly to meeting the professional component in that it provides an opportunity for exposure to graduate level mathematical techniques for engineering analysis.
- Relationship of course to undergraduate degree program objectives and outcomes
- This course primarily serves students in the department. The information below describes how the course contributes to the undergraduate program objectives.
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This optional course supports the program objectives of the undergraduate EMA and NE degrees in that it provides an intellectual challenge and broadening for mathematically inclined undergraduate students, and an introduction to graduate level thinking and coursework for students planning to go on to graduate school.
- Assessment of student progress toward course objectives
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50% Homework (10 sets)
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20% Mid-term exam
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30% Final exam
- Person(s) who prepared this description
