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Numerical Methods

Solving Linear Systems
Gaussian elimination - Review of a direct method to solve linear equations
Jacobi method - Iterative methods to solve linear equations.
Gauss–Seidel method
Conjugate gradient method
Nonlinear Equations
Bisection method
Newton's method
Secant method
Polynomial Interpolation
Polynomial interpolation
Lagrange polynomial
Newton polynomial
Runge's phenomenon
Polynomial Interpolation
optional
Stone–Weierstrass theorem
Bernstein polynomial