Ementorhub

What you'll learn

MATLAB and the foundations of scientific computing

Root finding methods such as Newton's method, and numerical linear algebra using the LU decomposition

Integration methods such as adaptive quadrature, and interpolation algorithms using a cubic spline

Numerical methods for solving ODEs, such as Runge-Kutta, and the finite difference method for solving PDEs

Skills you'll gain

Linear Algebra

Scientific Visualization

Scripting

Matlab

Programming Principles

Integral Calculus

Applied Mathematics

Mathematical Modeling

Computational Thinking

Plot (Graphics)

Simulations

Calculus

Numerical Analysis

Engineering Calculations

Differential Equations

Mathematical Software

Engineering Analysis

Simulation and Simulation Software

Estimation

Algorithms

There are 6 modules in this course

We assume students are already familiar with the basics of matrix algebra, differential equations, and vector calculus. They should have a working knowledge of a programming language, and be willing to learn MATLAB. The course contains 74 short lecture videos and MATLAB demonstrations. After each lecture or demonstration, there are problems to solve or programs to write. The course is organized into six weeks, and at the end of each week, there is an assessed quiz and a longer programming project. Download the lecture notes from the link https://www.math.hkust.edu.hk/~machas/numerical-methods-for-engineers.pdf And watch the promotional video from the link https://youtu.be/qFJGMBDfFMY

Root Finding

Matrix Algebra

Quadrature and Interpolation

Ordinary Differential Equations

Partial Differential Equations