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Published by: Massachusetts Institute of Technology | Language: English
Published by: Massachusetts Institute of Technology | Language: English
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This is a basic subject on matrix theory and linear algebra. Emphasis is given to topics that will be useful in other disciplines, including systems of equations, vector spaces, determinants, eigenvalues, similarity, and positive definite matrices.
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Tag(s):
- mathematics
- matrix theory
- linear algebra
- systems of equations
- vector spaces
- determinants
- eigenvalues
- similarity
- positive definite matrices
- least-squares approximations
- stability of differential equations
- networks
- fourier transforms
- markov processes
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Published by: Massachusetts Institute of Technology | Language: English
Published by: Massachusetts Institute of Technology | Language: English
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This course covers matrix theory and linear algebra, emphasizing topics useful in other disciplines such as physics, economics and social sciences, natural sciences, and engineering.
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Published by: Massachusetts Institute of Technology | Language: English
Published by: Massachusetts Institute of Technology | Language: English
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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 transf
Author(s):
Tag(s):
- mathematics
- linear algebra
- networks
- lagrange multipliers
- differential equations of equilibrium
- laplace's equation
- potential flow
- boundary-value problems
- fourier series
- discrete fourier transform
- convolution
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Published by: Massachusetts Institute of Technology | Language: English
Published by: Massachusetts Institute of Technology | Language: English
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This graduate-level course is a continuation of Mathematical Methods for Engineers I (18.085). Topics include numerical methods; initial-value problems; network flows; and optimization.
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Tag(s):
- mathematics
- scientific computing: fast fourier transform
- finite differences
- finite elements
- spectral method
- numerical linear algebra
- complex variables and applications
- initial-value problems: stability or chaos in ordinary differential equations
- wave equation versus heat equation
- conservation laws and shocks
- dissipation and dispersion
- optimiz
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Published by: Massachusetts Institute of Technology | Language: English
Published by: Massachusetts Institute of Technology | Language: English
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Wavelets are localized basis functions, good for representing short-time events. The coefficients at each scale are filtered and subsampled to give coefficients at the next scale. This is Mallat's pyramid algorithm for multiresolution, connecting wavelets to filter banks. Wavelets and multiscale algorithms for compression and signal/image p
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Tag(s):
- mathematics
- discrete-time filters
- convolution
- fourier transform
- owpass and highpass filters
- sampling rate change operations
- upsampling and downsampling
- ractional sampling
- interpolation
- filter banks
- time domain (haar example) and frequency domain
- conditions for alias cancellation and no distortion
- perfect reconstruction
- halfband filters and
File: 18-086-spring-2006.zip
This OER is part of OCW: Mathematical Methods for Engineers II
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Inherited Tag(s):
- mathematics
- scientific computing: fast fourier transform
- finite differences
- finite elements
- spectral method
- numerical linear algebra
- complex variables and applications
- initial-value problems: stability or chaos in ordinary differential equations
- wave equation versus heat equation
- conservation laws and shocks
- dissipation and dispersion
- optimiz
File: 18-085-fall-2008.zip
This OER is part of OCW: Computational Science and Engineering I
Published under: /Download Course Materials
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Inherited Tag(s):
- mathematics
- linear algebra
- networks
- lagrange multipliers
- differential equations of equilibrium
- laplace's equation
- potential flow
- boundary-value problems
- fourier series
- discrete fourier transform
- convolution
File: 18-06-spring-2010.zip
This OER is part of OCW: Linear Algebra
Published under: /Download Course Materials
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Used by:
Inherited Tag(s):
- mathematics
- matrix theory
- linear algebra
- systems of equations
- vector spaces
- determinants
- eigenvalues
- similarity
- positive definite matrices
- least-squares approximations
- stability of differential equations
- networks
- fourier transforms
- markov processes
File: 18-327-spring-2003.zip
This OER is part of OCW: Wavelets, Filter Banks and Applications
Published under: /Download Course Materials
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Used by:
Inherited Tag(s):
- mathematics
- discrete-time filters
- convolution
- fourier transform
- owpass and highpass filters
- sampling rate change operations
- upsampling and downsampling
- ractional sampling
- interpolation
- filter banks
- time domain (haar example) and frequency domain
- conditions for alias cancellation and no distortion
- perfect reconstruction
- halfband filters and
File: mtp_18085_f07.pdf
This OER is part of OCW: Computational Science and Engineering I
Published under: /Assignments
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OCW Authors:
Inherited Tag(s):
- mathematics
- linear algebra
- networks
- lagrange multipliers
- differential equations of equilibrium
- laplace's equation
- potential flow
- boundary-value problems
- fourier series
- discrete fourier transform
- convolution
File: pset5.pdf
This OER is part of OCW: Computational Science and Engineering I
Published under: /Assignments
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OCW Authors:
Inherited Tag(s):
- mathematics
- linear algebra
- networks
- lagrange multipliers
- differential equations of equilibrium
- laplace's equation
- potential flow
- boundary-value problems
- fourier series
- discrete fourier transform
- convolution
File: pset4.pdf
This OER is part of OCW: Computational Science and Engineering I
Published under: /Assignments
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OCW Authors:
Inherited Tag(s):
- mathematics
- linear algebra
- networks
- lagrange multipliers
- differential equations of equilibrium
- laplace's equation
- potential flow
- boundary-value problems
- fourier series
- discrete fourier transform
- convolution
File: pset2.pdf
This OER is part of OCW: Computational Science and Engineering I
Published under: /Assignments
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OCW Authors:
Inherited Tag(s):
- mathematics
- linear algebra
- networks
- lagrange multipliers
- differential equations of equilibrium
- laplace's equation
- potential flow
- boundary-value problems
- fourier series
- discrete fourier transform
- convolution
File: pset7.pdf
This OER is part of OCW: Computational Science and Engineering I
Published under: /Assignments
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OCW Authors:
Inherited Tag(s):
- mathematics
- linear algebra
- networks
- lagrange multipliers
- differential equations of equilibrium
- laplace's equation
- potential flow
- boundary-value problems
- fourier series
- discrete fourier transform
- convolution
File: mt4_18085_solf07.pdf
This OER is part of OCW: Computational Science and Engineering I
Published under: /Assignments
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OCW Authors:
Inherited Tag(s):
- mathematics
- linear algebra
- networks
- lagrange multipliers
- differential equations of equilibrium
- laplace's equation
- potential flow
- boundary-value problems
- fourier series
- discrete fourier transform
- convolution
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Pages: 10
This OER is part of OCW: Linear Algebra
Published under: /Assignments
This OER is part of OCW: Linear Algebra
Published under: /Assignments
Share in:
OCW Authors:
Inherited Tag(s):
- mathematics
- matrix theory
- linear algebra
- systems of equations
- vector spaces
- determinants
- eigenvalues
- similarity
- positive definite matrices
- least-squares approximations
- stability of differential equations
- networks
- fourier transforms
- markov processes
128 results found.
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