# Life of Fred: Numerical Analysis

Solving every equation that is in the form f(x) = 0. Bisection method. Solving f(x) = 5. Solve x to the x power equals 5. Solving f(x) = g(x). Finding the value of cos(cos(cos(cos(cos(cos(cos(cos(cos(cos(cos(cos(x)))))))))))). Secant method. Newton method. Finding the polynomial to interpolate five points. The Lagrange polynomial. Dealing with 900 points and no given f(x). Splines. Piecewise polynomial approximations. Numerical integration. Why Simpson’s rule is true. Numerical differentiation. Monte Carlo methods. First-order ordinary differential equations starting with y’ = g(x). Starting with y’ = g(x, y). Euler’s method. Runge-Kutta method. Second-order differential equations. Second-order boundary problems. Second-order initial value problems. Parabolic partial differential equations. Elliptic partial differential equations. Hyperbolic partial differential equations.

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## Description

• Solving every equation that is in the form f(x) = 0.
• Bisection method.
• Solving f(x) = 5.
• Solve x to the x power equals 5.
• Solving f(x) = g(x).
• Finding the value of cos(cos(cos(cos(cos(cos(cos(cos(cos(cos(cos(cos(x)))))))))))).
• Secant method.
• Newton method.
• Finding the polynomial to interpolate five points.
• The Lagrange polynomial.
• Dealing with 900 points and no given f(x).
• Splines.
• Piecewise polynomial approximations.
• Numerical integration.
• Why Simpson’s rule is true.
• Numerical differentiation.
• Monte Carlo methods.
• First-order ordinary differential equations starting with y’ = g(x).
• Starting with y’ = g(x, y).
• Euler’s method.
• Runge-Kutta method.
• Second-order differential equations.
• Second-order boundary problems.
• Second-order initial value problems.
• Parabolic partial differential equations.
• Elliptic partial differential equations.
• Hyperbolic partial differential equations.