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Beginning Scientific Computing

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Lecture: Least-Squares Fitting Methods

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Lecture: Polynomial Fits and Splines

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Lecture: Data Fitting with Matlab

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Lecture: Eigenvalues and Eigenvectors

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Lecture: Iteration Methods for Ax-b

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Lecture: Eigen-decompositions and Iterations

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Lecture: Unconstrained Optimization (Derivative-Free Methods)

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Lecture: Linear Programming and Genetic Algorithms

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Lecture: Unconstrained Optimization (Derivative Methods)

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Lecture: Higher-order Integration Schemes

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Lecture: Ordinary Differential Equations and Time-stepping

Lecture: Numerical Differentiation Methods

Lecture: Higher-order Accuracy Schemes for Differentiation and Integration

Supplement: Using ODE45 & Runge-Kutta methods

Lecture: PCA for Face Recognition