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2015
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Courseware
Math 679 is a graduate level mathematics course whose purpose is to prove Mazur's theorem (link is external). Mazur's theorem is a well-known and important result, however it is not often taught in classroom settings. The course is divided into three parts: elliptic curves and abelian varieties, moduli of elliptic curves, and proof of Mazur’s theorem.
- Keywords:
- Abelian varieties Curves Algebraic Curves Elliptic
- Resource Type:
- Courseware
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Courseware
This is an intermediate algorithms course with an emphasis on teaching techniques for the design and analysis of efficient algorithms, emphasizing methods of application. Topics include divide-and-conquer, randomization, dynamic programming, greedy algorithms, incremental improvement, complexity, and cryptography.
- Subjects:
- Computing
- Keywords:
- Algorithms
- Resource Type:
- Courseware
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Courseware
This course develops and applies scaling laws and the methods of continuum and statistical mechanics to biomechanical phenomena over a range of length scales, from molecular to cellular to tissue or organ level.
- Subjects:
- Biomedical Engineering and Biology
- Keywords:
- Biomedical engineering Biomechanics
- Resource Type:
- Courseware
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Courseware
This course is an introduction to numerical methods and MATLAB®: Errors, condition numbers and roots of equations. Topics covered include Navier-Stokes; direct and iterative methods for linear systems; finite differences for elliptic, parabolic and hyperbolic equations; Fourier decomposition, error analysis and stability; high-order and compact finite-differences; finite volume methods; time marching methods; Navier-Stokes solvers; grid generation; finite volumes on complex geometries; finite element methods; spectral methods; boundary element and panel methods; turbulent flows; boundary layers; and Lagrangian coherent structures (LCSs).
- Subjects:
- Mechanical Engineering
- Keywords:
- Fluid mechanics
- Resource Type:
- Courseware
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Courseware
A full package of course contents with syllabus, course contents and review. There are 6 modules with lecture presentations (PPT), student handouts, quizzes, facilitator guides, and more. Designed for all healthcare professionals in America.
- Subjects:
- Medical and Professional Ethics
- Keywords:
- Medical laws legislation Medical care -- Law legislation Medical ethics
- Resource Type:
- Courseware
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Courseware
訓練學生日本漢文訓讀法,並了解中國明清文學對日本文學的影響。
- Subjects:
- Japanese Language, Comparative Literature, and Chinese Studies
- Keywords:
- Qing Dynasty (China) Japanese literature Comparative literature -- Japanese Chinese Chinese literature -- Ming dynasty
- Resource Type:
- Courseware