The Essentials of Root Finding and Numerical Integration in MATLAB
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.
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.
Course Content
- Root Finding Methods –> 14 lectures • 2hr 3min.
- Numerical Integration –> 7 lectures • 1hr 52min.
Requirements
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