Numerical Methods in MATLAB for Engineering Students Part 1
4.6 (12 ratings)
Course Ratings are calculated from individual students’ ratings and a variety of other signals, like age of rating and reliability, to ensure that they reflect course quality fairly and accurately.
169 students enrolled

Numerical Methods in MATLAB for Engineering Students Part 1

The Essentials of Root Finding and Numerical Integration in MATLAB
4.6 (12 ratings)
Course Ratings are calculated from individual students’ ratings and a variety of other signals, like age of rating and reliability, to ensure that they reflect course quality fairly and accurately.
169 students enrolled
Last updated 12/2019
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This course includes
  • 4 hours on-demand video
  • 16 downloadable resources
  • Full lifetime access
  • Access on mobile and TV
  • Certificate of Completion
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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 Method

  • Newtons Method (also known as Newton-Raphson)

  • Secant Method

  • MATLAB coding of all methods

Numerical Integration:

  • Rectangle Method

  • Midpoint Method

  • Trapezoidal Method

  • Simpson's Method

  • MATLAB coding of all methods

Downloadable resources that come with the course:

  • Outline of notes with all example problem statements

  • MATLAB codes needed to run all the examples


Who this course is for:
  • This course is intended for engineering students wanting to learn numerical methods in MATLAB
Course content
Expand all 21 lectures 03:55:48
+ Root Finding Methods
14 lectures 02:03:21
Error Calculations & Outline of Notes
14:43
MATLAB Bisection Method
09:05
Newton's Method
11:17
Newton's Algorithm and Example 2
12:53
MATLAB Example 2
05:26
MATLAB Example 3
07:33
Secant Method
08:11
Secant Method Algorithm and Example 4
12:24
MATLAB Example 4 Secant Method
04:01
MATLAB Example 5 Secant Method
05:51
+ Numerical Integration
7 lectures 01:52:27
Rectangle and Midpoint Methods
18:31
Example 22 Midpoint and Rectangle Methods
10:04
Example 22 MATLAB Midpoint and Rectangle Methods
08:12
Trapezoidal and Simpson's Methods
27:35
Example 23 Trapezoidal and Simpson's Methods
21:30
Example 23 MATLAB Simpsons
13:40
Examples 24 and 25 Composite Trapezoidal
12:55