Numerical Methods In Matlab For Engineering Students Part 1

The Essentials of Root Finding and Numerical Integration in MATLAB

What you'll learn
Root finding techniques: Bisection Method, Newton's Method, Secant Method
Numerical integration techniques: Rectangle & Midpoint Methods, Trapezoidal & Simpsons Methods
MATLAB coding skills: Algortihms and example MATLAB codes are reviewed to enhance knowledge of MATLAB and the numerical techniques
Requirements
Coding: You should know MATLAB basics like matrices, looping, if statements, plotting
Math requirements: Calculus
MATLAB should be installed on your computer in order to run the provided MATLAB files
Description
Numerical Methods (also known as Numerical Analysis) is required in many Engineering degree programs.  This course will focus on the  root finding and numerical integration techniques most frequently covered at the undergraduate level. MATLAB is widely used in undergraduate engineering programs as well as in industry.  Because of this, MATLAB is used in this course to demonstrate how to successfully code each of the methods presented.  In addition, it should be noted that this course can be used to enhance your coding skills.You will learn the theory behind the techniques as well as the coding aspects.  We will work examples by hand and then follow those with MATLAB examples. This course covers the following topics:Root Finding:Bisection MethodNewtons Method (also known as Newton-Raphson)Secant MethodMATLAB coding of all methodsNumerical Integration:Rectangle MethodMidpoint MethodTrapezoidal MethodSimpson's MethodMATLAB coding of all methodsDownloadable resources that come with the course:Outline of notes with all example problem statementsMATLAB codes needed to run all the examples

Overview

Section 1: Root Finding Methods

Lecture 1 Intro Video

Lecture 2 Error Calculations & Outline of Notes

Lecture 3 Bisection Method

Lecture 4 Bisection Method Algorithm

Lecture 5 Example 1 Bisection Method

Lecture 6 MATLAB Bisection Method

Lecture 7 Newton's Method

Lecture 8 Newton's Algorithm and Example 2

Lecture 9 MATLAB Example 2

Lecture 10 MATLAB Example 3

Lecture 11 Secant Method

Lecture 12 Secant Method Algorithm and Example 4

Lecture 13 MATLAB Example 4 Secant Method

Lecture 14 MATLAB Example 5 Secant Method

Section 2: Numerical Integration

Lecture 15 Rectangle and Midpoint Methods

Lecture 16 Example 22 Midpoint and Rectangle Methods

Lecture 17 Example 22 MATLAB Midpoint and Rectangle Methods

Lecture 18 Trapezoidal and Simpson's Methods

Lecture 19 Example 23 Trapezoidal and Simpson's Methods

Lecture 20 Example 23 MATLAB Simpsons

Lecture 21 Examples 24 and 25 Composite Trapezoidal

This course is intended for engineering students wanting to learn numerical methods in MATLAB