Introduction
- Introduction
Mathematical Derivation
- Double Pendulum 1
- Double Pendulum 2
- Double Pendulum 3
- Double Pendulum 4
- Double Pendulum 5
Simulation
- Matlab
- Python
What you'll learn
- Derive the Equations of Motion of a Double Pendulum
- Gain an Understanding of the Applications of The Calculus of Variations
- Code the Equations of Motion into Matlab
- Code the Equations of Motion into Visual Python
Description
These videos are taken from my full course on the Calculus of Variations which is also available on Udemy. The videos were at the end of the full course so I decided to take them out and create this free course to showcase the power and the beauty of the Calculus of Variations to solve this historically important problem in mathematics and physics.
If you like this course and would like to understand more about this fascinating subject then I have two further courses on the Calculus of Variations on Udemy.
In this course I derive the equations of motion of a doulbe pendulum using the Calculus of Variations.
I have created this course in order to highlight how the Calculus of Variations is of fundamental importance to mathematical modelling of the physical sciences. This is a subject that is at the very heart of the physical world we see around us everyday.
The mathematics in this course is not easy but you will gain a great deal of knowledge by taking your time and just thinking about each of the equations in turn.
We will simulate the equations of motion in Matlab and in Visual Python. All the simulation files are available to you and you can run them on Matlab or Visual Python which is free to use. At the end of this course you should have a fully functioning simulation of the trajectory of a doulbe pendulum.
This is a small part of a full suite of courses that I have available covering the area of Applied Mathematics and Computer Science. If you want to run this model of the full double pendulum on a computer that you have designed yourself from scratch then I have courses available that will let you do just that.
If you want to see how beautiful and useful mathematics is then this is the course you need to take.
The University of Sheffield
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About the instructors
- 4.78 Calificación
- 9420 Estudiantes
- 21 Cursos
Ross McGowan
Applied Mathematics and Computer Science Educator
I am a graduate in Communications Engineering from Edinburgh University. I have spent my adult life working in the communications industry. First as an integrated circuit designer then in mobile telecomms. My first love is mathematics and the application of mathematics to engineering problems. I also have a love of learning and teaching. Mathematics should be fun and enjoyable and an intuitive understanding should be gained first and foremost. Comprehension is king.
Student feedback
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