Computational-Science-and-Engineering

18.085 Gilbert Strang Computational Science and Engineering

Paper+pen solutions and Julia code

Chapter 1. Applied Linear Algebra

1. Four Special Matrices

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2. Differential Equations and Difference Equations

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3. Solving a linear system

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4. Delta Function

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5. Eigenvalues and Eigenvectors

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6. Positive Definite Matrices

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7. Numerical Linear Algebra

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Chapter 2. Framework for applied math

1. Equlibrium and the stiffness matrix

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3. Least squares for rectangular matrix

Notes + Solutions

4. Graph models and Kirchhoff's Laws

Notes + Solutions

Exam 1

Exam solutions

5. Networks and transfer function

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Chapter 3. Boundary value problem

1. Differential equations and finite elements

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2. Cubic Splines and Fourth Order Equations

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3. GradientAndDivergence

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4. LaplacesEquation

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Exam 2

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Chapter 4. Fourier Series and Integrals

1.FourierSeriesForPeriodicFunctions

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2.ChebyshevLegendreAndBessel

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3.DiscretFourierTransformAndTheFFT

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4.ConvolutionAndSignalProcessing

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5.FourierIntegrals

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Final Exam (2007 solutions)

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