Lecture 1: Four Special Matrices

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Recitation 1: Key Ideas of Linear Algebra

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Lecture 2: Differential Eqns and Difference Eqns

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Lecture 3: Solving a Linear System

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Lecture 4: Delta Function Day

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Recitation 2

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Lecture 5: Eigenvalues (Part 1)

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Lecture 6: Eigen Values (part 2) and Positive Definite (part 1)

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Lecture 7: Positive Definite Day

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Recitation 3

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Lecture 8: Springs and Masses

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Lecture 9: Oscillation

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Recitation 4

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Lecture 10: Finite Differences in Time

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Lecture 11: Least Squares (part 2)

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Lecture 12: Graphs and Networks

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Recitation 5

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Lecture 13: Kirchhoff's Current Law

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Lecture 14: Exam Review

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Recitation 6

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Lecture 15: Trusses and A^(T)CA

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Lecture 16: Trusses (part 2)

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Lecture 17: Finite Elements in 1D (part 1)

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Recitation 7

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Lecture 18: Finite Elements in 1D (part 2)

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Lecture 19: Quadratic/Cubic Elements

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Lecture 20: Element Matrices; 4th Order Bending Equations

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Recitation 8

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Lecture 21: Boundary Conditions, Splines, Gradient, Divergence

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Lecture 22: Gradient and Divergence

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Lecture 23: Laplace's Equation

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Recitation 9

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Lecture 24: Laplace's Equation (part 2)

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Lecture 25: Fast Poisson Solver (part 1)

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Lecture 26: Fast Poisson Solver (part 2); Finite Elements in 2D

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Recitation 10

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Lecture 27: Finite Elements in 2D (part 2)

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Lecture 28: Fourier Series (part 1)

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Recitation 11

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Lecture 29: Fourier Series (part 2)

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Lecture 30: Discrete Fourier Series

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Lecture 31: Fast Fourier Transform, Convolution

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Recitation 12

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Lecture 32: Convolution (part 2), Filtering

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Lecture 33: Filters, Fourier Integral Transform

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Lecture 34: Fourier Integral Transform (part 2)

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Recitation 13

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Lecture 35: Convolution Equations: Deconvolution

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Lecture 36: Sampling Theorem

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