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diff --git a/tutorials/module_3/numerical_methods.md b/tutorials/module_3/numerical_methods.md new file mode 100644 index 0000000..6791aff --- /dev/null +++ b/tutorials/module_3/numerical_methods.md @@ -0,0 +1,41 @@ +# Numerical Methods +Engineering + +## What is a numerical method? +Numerical methods are techniques that transform mathematical problems into forms that can be solved using arithmetic and logical operations. Because digital computers excel at these computations, numerical methods are often referred to as computer mathematics. + + +## Numerical Differentiation +Forwards difference +Backwards difference + +[Read More](https://pythonnumericalmethods.studentorg.berkeley.edu/notebooks/chapter20.00-Numerical-Differentiation.html) + +## Roots and Optimization +Incremental Search +Bisection +Modified Secant +Newton-Raphson + + +## Numerical Integration + +Trapezoidal + +Simpson's Rule + +[Read More](https://pythonnumericalmethods.studentorg.berkeley.edu/notebooks/chapter21.00-Numerical-Integration.html) + + +## Numerical Solutions of Ordinary Differential Equations + +Euler's Method +- Forward +- Backwards + +Runge-Kutta Method + +[Read More](https://pythonnumericalmethods.studentorg.berkeley.edu/notebooks/chapter22.00-ODE-Initial-Value-Problems.html) + + + |