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? Computer arithmetic, error and Taylor Series
? Regression analysis: linear and nonlinear regression analysis
? Numerical solution of large linear systems: Gaussian elimination, iterative methods and preconditioning, Jacobi and Gauss-Seidel methods, the conjugate gradient method
? Numerical solution of nonlinear equations: the bisection algorithm, fixed point iteration, Newton’s method and its relatives
? Optimization methods: constrained optimization, unconstrained optimization, regularized minimization
? Numerical differentiation and integration |