Numerical Root-Finding with Python and MATLAB

Solving mathematical equations analytically is not always possible, but numerical methods allow you to find precise solutions using computational power. This text-based course guides you through the core concepts of root-finding algorithms, showing you how to translate mathematical theory into working code. You will start with the foundational definitions of equations and convergence before diving into hands-on algorithm design. What you'll learn: - Understand the mathematical foundations of root-finding and bracket methods - Implement the Bisection and Regula Falsi methods from scratch - Apply open methods including Newton-Raphson and Secant algorithms - Write clean, structured code in Python using modern scientific programming practices - Develop efficient MATLAB scripts to solve equations and track convergence - Analyze algorithm efficiency, error limits, and potential failure points You will begin with key terminology and error analysis principles, gradually progressing through the logic of each major algorithm. By studying side-by-side implementations in both Python and MATLAB, you will gain a versatile toolkit for scientific computing. This course is designed for beginners in numerical analysis, engineering students, and programmers wanting to build their mathematical computing skills. No advanced programming experience is required. Start reading today to master the core computational techniques used to solve complex equations.