Course: MIT 18.085 Computational Science & Engineering I, Fall 2007 Dnatube

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Lec 1 - MIT 18.085 Computational Scienc ...

"Lec 1 - MIT 18.085 Computational Science and Engineering I" Positive definite matrices K = A'CA A more recent version of this course is available at: http://ocw.mit.edu/18-085f08 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
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Lec 2 - MIT 18.085 Computational Science ...

"Lec 2 - MIT 18.085 Computational Science and Engineering I" One-dimensional applications: A = difference matrix A more recent version of this course is available at: http://ocw.mit.edu/18-085f08 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
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Lec 3 - MIT 18.085 Computational Science ...

"Lec 3 - MIT 18.085 Computational Science and Engineering I" Network applications: A = incidence matrix A more recent version of this course is available at: http://ocw.mit.edu/18-085f08 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
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Lec 4 - MIT 18.085 Computational Science ...

"Lec 4 - MIT 18.085 Computational Science and Engineering I" Applications to linear estimation: least squares A more recent version of this course is available at: http://ocw.mit.edu/18-085f08 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
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Lec 5 - MIT 18.085 Computational Science ...

"Lec 5 - MIT 18.085 Computational Science and Engineering I" Applications to dynamics: eigenvalues of K, solution of Mu'' + Ku = F(t) A more recent version of this course is available at: http://ocw.mit.edu/18-085f08 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
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Lec 6 - MIT 18.085 Computational Science ...

"Lec 6 - MIT 18.085 Computational Science and Engineering I" Underlying theory: applied linear algebra A more recent version of this course is available at: http://ocw.mit.edu/18-085f08 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
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Lec 7 - MIT 18.085 Computational Science ...

"Lec 7 - MIT 18.085 Computational Science and Engineering I" Discrete vs. continuous: differences and derivatives A more recent version of this course is available at: http://ocw.mit.edu/18-085f08 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
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Lec 8 - MIT 18.085 Computational Science ...

"Lec 8 - MIT 18.085 Computational Science and Engineering I" Applications to boundary value problems: Laplace equation A more recent version of this course is available at: http://ocw.mit.edu/18-085f08 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
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Lec 9 - MIT 18.085 Computational Science ...

"Lec 9 - MIT 18.085 Computational Science and Engineering I" Solutions of Laplace equation: complex variables A more recent version of this course is available at: http://ocw.mit.edu/18-085f08 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
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Lec 10 - MIT 18.085 Computational Scienc ...

"Lec 10 - MIT 18.085 Computational Science and Engineering I" Delta function and Green's function A more recent version of this course is available at: http://ocw.mit.edu/18-085f08 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
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Lec 11 - MIT 18.085 Computational Scienc ...

"Lec 11 - MIT 18.085 Computational Science and Engineering I" Initial value problems: wave equation and heat equation A more recent version of this course is available at: http://ocw.mit.edu/18-085f08 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
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Lec 12 - MIT 18.085 Computational Scienc ...

"Lec 12 - MIT 18.085 Computational Science and Engineering I" Solutions of initial value problems: eigenfunctions A more recent version of this course is available at: http://ocw.mit.edu/18-085f08 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
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Lec 13 - MIT 18.085 Computational Scienc ...

"Lec 13 - MIT 18.085 Computational Science and Engineering I" Numerical linear algebra: orthogonalization and A = QR A more recent version of this course is available at: http://ocw.mit.edu/18-085f08 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
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Lec 14 - MIT 18.085 Computational Scien ...

"Lec 14 - MIT 18.085 Computational Science and Engineering I" Numerical linear algebra: SVD and applications A more recent version of this course is available at: http://ocw.mit.edu/18-085f08 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
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Lec 15 - MIT 18.085 Computational Scien ...

"Lec 15 - MIT 18.085 Computational Science and Engineering " Numerical methods in estimation: recursive least squares and covariance matrix A more recent version of this course is available at: http://ocw.mit.edu/18-085f08 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
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Lec 16 - MIT 18.085 Computational Scienc ...

"Lec 16 - MIT 18.085 Computational Science and Engineering I" Dynamic estimation: Kalman filter and square root filter A more recent version of this course is available at: http://ocw.mit.edu/18-085f08 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
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Lec 17 - MIT 18.085 Computational Scienc ...

"Lec 17 - MIT 18.085 Computational Science and Engineering I" Finite difference methods: equilibrium problems A more recent version of this course is available at: http://ocw.mit.edu/18-085f08 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
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Lec 18 - MIT 18.085 Computational Scienc ...

"Lec 18 - MIT 18.085 Computational Science and Engineering I" Finite difference methods: stability and convergence A more recent version of this course is available at: http://ocw.mit.edu/18-085f08 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
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Lec 19 - MIT 18.085 Computational Scienc ...

"Lec 19 - MIT 18.085 Computational Science and Engineering I" Optimization and minimum principles: Euler equation A more recent version of this course is available at: http://ocw.mit.edu/18-085f08 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
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Lec 20 - MIT 18.085 Computational Scienc ...

"Lec 20 - MIT 18.085 Computational Science and Engineering I" Finite element method: equilibrium equations A more recent version of this course is available at: http://ocw.mit.edu/18-085f08 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
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Lec 21 - MIT 18.085 Computational Scienc ...

"Lec 21 - MIT 18.085 Computational Science and Engineering I" Spectral method: dynamic equations A more recent version of this course is available at: http://ocw.mit.edu/18-085f08 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
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Lec 22 - MIT 18.085 Computational Scienc ...

"Lec 22 - MIT 18.085 Computational Science and Engineering I" Fourier expansions and convolution A more recent version of this course is available at: http://ocw.mit.edu/18-085f08 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
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Lec 23 - MIT 18.085 Computational Scienc ...

"Lec 23 - MIT 18.085 Computational Science and Engineering I" Fast fourier transform and circulant matrices A more recent version of this course is available at: http://ocw.mit.edu/18-085f08 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
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Lec 24 - MIT 18.085 Computational Scienc ...

"Lec 24 - MIT 18.085 Computational Science and Engineering I" Discrete filters: lowpass and highpass A more recent version of this course is available at: http://ocw.mit.edu/18-085f08 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
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Lec 25 - MIT 18.085 Computational Scienc ...

"Lec 25 - MIT 18.085 Computational Science and Engineering I" Filters in the time and frequency domain A more recent version of this course is available at: http://ocw.mit.edu/18-085f08 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
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Lec 26 - MIT 18.085 Computational Scienc ...

"Lec 26 - MIT 18.085 Computational Science and Engineering I" Filter banks and perfect reconstruction A more recent version of this course is available at: http://ocw.mit.edu/18-085f08 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
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Lec 27 - MIT 18.085 Computational Scienc ...

"Lec 27 - MIT 18.085 Computational Science and Engineering I" Multiresolution, wavelet transform and scaling function A more recent version of this course is available at: http://ocw.mit.edu/18-085f08 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
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Lec 28 - MIT 18.085 Computational Scienc ...

"Lec 28 - MIT 18.085 Computational Science and Engineering I Splines and orthogonal wavelets: Daubechies construction A more recent version of this course is available at: http://ocw.mit.edu/18-085f08 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
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Lec 29 - MIT 18.085 Computational Scienc ...

"Lec 29 - MIT 18.085 Computational Science and Engineering I Applications in signal and image processing: compression A more recent version of this course is available at: http://ocw.mit.edu/18-085f08 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
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Lec 30 - MIT 18.085 Computational Scienc ...

"Lec 30 - MIT 18.085 Computational Science and Engineering I" Network flows and combinatorics: max flow = min cut A more recent version of this course is available at: http://ocw.mit.edu/18-085f08 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
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Lec 31 - MIT 18.085 Computational Scienc ...

"Lec 31 - MIT 18.085 Computational Science and Engineering I Simplex method in linear programming A more recent version of this course is available at: http://ocw.mit.edu/18-085f08 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
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Lec Last - MIT 18.085 Computational Scie ...

"Lec Last - MIT 18.085 Computational Science and Engineering I" Nonlinear optimization: algorithms and theory A more recent version of this course is available at: http://ocw.mit.edu/18-085f08 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

MIT 18.085 Computational Science & Engineering I, Fall 2007


Source of these courses is MIT 
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. A more recent version of this course is available at: http://ocw.mit.edu/18-085f08 Note:
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COURSE NAME: MIT 18.085 Computational Science & Engineering I, Fall 2007

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