This course is about numerical methods. We are NOT going to discuss ALL the theory related to numerical methods (for example how to solve differential equations). We are just going to consider the concrete implementations and numerical principles.
The first section is about matrix algebra and linear systems: such as matrix multiplication, gaussian elimination and applications of these approaches, such as Google’s PageRank algorithm.
Then we will talk about numerical integration. How to use techniques like trapezoidal rule, Simpson formula and Monte–Carlo method – my personal favourite.
The last chapter is about solving differential equations with Euler’s–method and Runge–Kutta approach. We will consider examples such as the pendulum problem.
numerical methods basics
floating point representation
eigenvectors and eigenvalues
Google’s PageRank algorithm
solving non–linear equations
Newton’s method and bisection method
rectangle method and trapezoidal method
Thanks for joining my course, let’s get started!
Courses : 24
Specification: Introduction to Numerical Methods in Java
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