Resource website with information designed for students taking a Numerical Methods course as part of an engineering major or computer science, chemistry, physics, geology or biology majors will often apply many of the topics covered in a traditional numerical methods course. The materials are offered with different versions based upon the student’s engineering course of study and the mathematics software that they use. A large team of professors, graduate students and undergraduates maintain this reference site.

## Numerical Methods Topics Covered

- Introduction
- Introduction
- Measuring Errors
- Sources of Error
- Binary Representation
- Floating Pt Representation
- Propagation of Errors
- Taylor Theorem Revisit
- Differentiation
- Primer on Differentiation
- Continuous Function
- Discrete Function
- Nonlinear Equations
- Quadratic Equations
- Cubic Equations
- Bisection Method
- Newton-Raphson Meth
- Secant Method
- False- Position Method
- Simultaneous Linear Equations
- Intro to Matrix Algebra
- Gaussian Elimination
- Gauss-Seidel Met
- LU Decomposition
- Cholesky and LDL
^{T}Decomposition - Interpolation
- Primer on Interpolation
- Direct Method
- Newton’s Dif Method
- Lagrange Method
- Spline Method
- Regression
- Primer on Regression
- Linear Regression
- Nonlinear Regression
- Adequacy of Regression
- Integration
- Integral Calc Primer
- Trapezoidal Rule
- Simpson’s 1/3rd Rule
- Romberg Integration
- Gauss-Quad Rule
- Discrete Data Integration
- Improper Integration
- Simpson’s 3/8 Rule
- Ordinary Differential Equations
- Primer on ODE
- Euler’s Method
- Runge-Kutta 2nd
- Runge-Kutta 4th
- Finite Diff Method
- Shooting Method
- Higher Order/Coupled
- Special Topics
- Partial Differential Equations
- Fast Fourier Transforms
- Optimization

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Holistic Numerical Methods