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Computational Science and Engineering - MIT (16.0002)

Complete lecture notes from 2020's session of Computational Science and Engineering at Massachusetts Institute of Technology by Mr Richard Zhang. The course is comprised of 10 additional guest lectures from guest lecturers that are excluded from this course. The 9 mainstream lectures delivered dur...

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3rd Week's Lecture - Computational Science and Engineering - MIT (16.0002)

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Introduction to matrices and the computational behaviours associated with matrices.

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2nd Week's Lecture - Computational Science and Engineering - MIT (16.0002)

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Differential Equations, Eigenvalues and functions that can be operated on matrices.

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1st Week's Lecture - Computational Science and Engineering - MIT (16.0002)

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Introduction to matrices, their properties and vectors.

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4th Week's Lecture - Computational Science and Engineering - MIT (16.0002)

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Oscillations, complex vectors, complex oscillatory methods, and applications of Newton's laws on vectors.

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9th Week's Lecture - Computational Science and Engineering - MIT (16.0002)

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Applications of Fourier Transform, Heat Equation, Discrete Transform, and Course Summary.

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8th Week's Lecture - Computational Science and Engineering - MIT (16.0002)

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Finite Element Method, 1D, 2D, Triangulation, Fourier Transform, and Examples.

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7th Week's Lecture - Computational Science and Engineering - MIT (16.0002)

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Laplace Equation, Separation of Variables, Indices, and Finite Difference.

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6th Week's Lecture - Computational Science and Engineering - MIT (16.0002)

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Multi-Dimensional Differentiation, Multi-Dimensional Integration, Divergence Theorem, Stokes' Theorem, and Fourier Series.

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5th Week's Lecture - Computational Science and Engineering - MIT (16.0002)

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Second-Order Differential Equations, Damped Oscillations, RLC Circuit, and Laplace Transform.

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