# Keywords: Numerical Eigensolver Methods (2)

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# Computational Science and Engineering I, Fall 2008

This course provides a review of linear algebra, including applications to networks, ... (more)

This course provides a review of linear algebra, including applications to networks, structures, and estimation, Lagrange multipliers. Also covered are: differential equations of equilibrium; Laplace's equation and potential flow; boundary-value problems; minimum principles and calculus of variations; Fourier series; discrete Fourier transform; convolution; and applications. Note: This course was previously called "Mathematical Methods for Engineers I". (less)

Subject:
Education
Engineering
Mathematics
Mathematics and Statistics
Material Type:
Activities and Labs
Assessments
Data
Full Course
Homework and Assignments
Instructional Material
Interactive
Lesson Plans
Reference
Syllabi
Video Lectures
Provider:
AMSER: Applied Math and Science Education Repository
M.I.T.
Provider Set:
AMSER: Applied Math and Science Education Repository
MIT OpenCourseWare
Author:
Strang, Gilbert
Strang, Gilbert
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# Mathematical Methods in Nanophotonics, Spring 2008

Topics vary from year to year. Topic for Fall: Eigenvalues of random ... (more)

Topics vary from year to year. Topic for Fall: Eigenvalues of random matrices. How many are real? Why are the spacings so important? Subject covers the mathematics and applications in physics, engineering, computation, and computer science. This course covers algebraic approaches to electromagnetism and nano-photonics. Topics include photonic crystals, waveguides, perturbation theory, diffraction, computational methods, applications to integrated optical devices, and fiber-optic systems. Emphasis is placed on abstract algebraic approaches rather than detailed solutions of partial differential equations, the latter being done by computers. (less)

Subject:
Mathematics and Statistics
Material Type:
Activities and Labs
Assessments
Full Course
Homework and Assignments
Syllabi
Provider:
M.I.T.
Provider Set:
MIT OpenCourseWare
Author:
Johnson, Steven

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