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18.085 | Fall 2008 | Graduate
Computational Science and Engineering I

Lecture Videos

Course Introduction
Lecture 1: Four Special Matrices
Recitation 1: Key Ideas of Linear Algebra
Transcript – Lecture 1
Transcript – Recitation 1
Lecture 2: Differential Eqns and Difference Eqns
Recitation 2
Transcript – Lecture 2
Transcript – Recitation 2
Lecture 3: Solving a Linear System
Recitation 3
Transcript – Lecture 3
Transcript – Recitation 3
Lecture 4: Delta Function Day
Recitation 4
Transcript – Lecture 4
Transcript – Recitation 4
Lecture 5: Eigenvalues (Part 1)
Recitation 5
Transcript – Lecture 5
Transcript – Recitation 5
Lecture 6: Eigen Values (part 2) and Positive Definite (part 1)
Recitation 6
Transcript – Lecture 6
Transcript – Recitation 6
Lecture 7: Positive Definite Day
Recitation 7
Transcript – Lecture 7
Transcript – Recitation 7
Lecture 8: Springs and Masses
Recitation 8
Transcript – Lecture 8
Transcript – Recitation 8
Lecture 9: Oscillation
Recitation 9
Transcript – Lecture 9
Transcript – Recitation 9
Lecture 10: Finite Differences in Time
Recitation 10
Transcript – Lecture 10
Transcript – Recitation 10
Lecture 11: Least Squares (part 2)
Recitation 11
Transcript – Lecture 11
Transcript – Recitation 11
Lecture 12: Graphs and Networks
Recitation 12
Transcript – Lecture 12
Transcript – Recitation 12
Lecture 13: Kirchhoff's Current Law
Recitation 13
Transcript – Lecture 13
Transcript – Recitation 13
Lecture 14: Exam Review
Transcript – Lecture 14
Lecture 15: Trusses and A^(T)CA
Transcript – Lecture 15
Lecture 16: Trusses (part 2)
Transcript – Lecture 16
Lecture 17: Finite Elements in 1D (part 1)
Transcript – Lecture 17
Lecture 18: Finite Elements in 1D (part 2)
Transcript – Lecture 18
Lecture 19: Quadratic/Cubic Elements
Transcript – Lecture 19
Lecture 20: Element Matrices; 4th Order Bending Equations
Transcript – Lecture 20
Lecture 21: Boundary Conditions, Splines, Gradient, Divergence
Transcript – Lecture 21
Lecture 22: Gradient and Divergence
Transcript – Lecture 22
Lecture 23: Laplace's Equation
Transcript – Lecture 23
Lecture 24: Laplace's Equation (part 2)
Transcript – Lecture 24
Lecture 25: Fast Poisson Solver (part 1)
Transcript – Lecture 25
Lecture 26: Fast Poisson Solver (part 2); Finite Elements in 2D
Transcript – Lecture 26
Lecture 27: Finite Elements in 2D (part 2)
Transcript – Lecture 27
Lecture 28: Fourier Series (part 1)
Transcript – Lecture 28
Lecture 29: Fourier Series (part 2)
Transcript – Lecture 29
Lecture 30: Discrete Fourier Series
Transcript – Lecture 30
Lecture 31: Fast Fourier Transform, Convolution
Transcript – Lecture 31
Lecture 32: Convolution (part 2), Filtering
Transcript – Lecture 32
Lecture 33: Filters, Fourier Integral Transform
Transcript – Lecture 33
Lecture 34: Fourier Integral Transform (part 2)
Transcript – Lecture 34
Lecture 35: Convolution Equations: Deconvolution
Transcript – Lecture 35
Lecture 36: Sampling Theorem
Transcript – Lecture 36
Course Info
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As Taught In
Fall 2008
Level
Graduate
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