#### Numerical Methods In Matlab For Engineering Students Part 1

4 Sep 2022

Last updated 12/2019
MP4 | Video: h264, 1280x720 | Audio: AAC, 44.1 KHz
Language: English | Size: 3.72 GB | Duration: 3h 55m

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
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