Calculus of Variations

Calculus of Variations, available at $64.99, has an average rating of 4.35, with 65 lectures, based on 96 reviews, and has 813 subscribers.

You will learn about A thorough grounding in the Calculus of Variations. Covering the first variation Simulations using a graphical calculator to help your understanding Introduction to the subject using an intuitive geometric approach which you will not see anywhere else Euler Lagrange Equation derived both geometrically and analytically Derivation and simulation of double pendulum This course is ideal for individuals who are If you have been stuck with your understanding the calculus of variations or you are new to it then this is the course for you. It is particularly useful for If you have been stuck with your understanding the calculus of variations or you are new to it then this is the course for you.

Enroll now: Calculus of Variations

Summary

Title: Calculus of Variations

Price: $64.99

Average Rating: 4.35

Number of Lectures: 65

Number of Published Lectures: 40

Number of Curriculum Items: 65

Number of Published Curriculum Objects: 40

Original Price: $19.99

Quality Status: approved

Status: Live

What You Will Learn

A thorough grounding in the Calculus of Variations. Covering the first variation
Simulations using a graphical calculator to help your understanding
Introduction to the subject using an intuitive geometric approach which you will not see anywhere else
Euler Lagrange Equation derived both geometrically and analytically
Derivation and simulation of double pendulum

Who Should Attend

If you have been stuck with your understanding the calculus of variations or you are new to it then this is the course for you.

Target Audiences

If you have been stuck with your understanding the calculus of variations or you are new to it then this is the course for you.

This is not your average Udemy course. You will not see the calculus of variations taught as thoroughly and intuitively anywhere on the internet (I know because I looked for such a course and not having found one decided to create this course). You will not see this subject taught in this way anywhere else online. The most important point and value in this course is COMPREHENSION. I want you to understand the subject , I want you to be able to say at the end of this course, ‘I OWN THE CALCULUS OF VARIATIONS – IT BELONGS TO ME’.

If you want to understand the calculus of variations as opposed to just applying some random maths equations and wonder what is going on then this is the course for you. What matters is true comprehension. As such I have introduced this subject in a non standard way. I derive the basic building block of calculus of variations namely the Euler-Lagrange equation in the terms that Euler first derived it and leave the standard derivation to much later in the course. The course has many examples including some of the most famous but also some that you just won’t see in any textbook. The derivations are thorough and explained line per line equation to equation. You just won’t get this subject taught like this unless you pay to go to university (and even then you will probably get the standard formulaic version).

In this course you will get access to my original derivations , some of which are common derivations you will get in any book but some of the derivations you will not find in any books (I know I looked for them and in the end spent many hours deriving them myself). You can download a PDF copy of each lecture or a PDF of the entire lecture course.

This is NOT AN EASY COURSE and to cover all the maths in depth will take you a lot of time. It will be time well spent as you will learn lots of tips and mathematical tricks that you just won’t find anywhere else. I recommend you recreate the derivations and think about them as you walk to work or have coffee at lunch. Don’t get put off or dejected – remember I AM HERE if you need help.

Good luck with the course.

Course Curriculum

Chapter 1: The First Variation Geometric Derivation

Lecture 1: Introduction

Lecture 2: Course Slides

Lecture 3: Motivation

Lecture 4: Potential Energy of Hanging Rope

Lecture 5: Functional

Lecture 6: Road Map to Euler Lagrange

Lecture 7: Derivation of Euler Lagrange 1

Lecture 8: Derivation of Euler Lagrange 2

Lecture 9: Catenary

Lecture 10: Shortest Distance Between 2 Points

Lecture 11: Simple Pendulum

Lecture 12: Course Book

Chapter 2: The First Variation Examples

Lecture 1: Motion Under Force of Gravity

Lecture 2: Brachistochrone

Lecture 3: Derivation of Cycloid

Lecture 4: Shortest Distance Between 2 Points in Polar Form

Lecture 5: Geodesic on a Cylinder

Lecture 6: Geodesic on a Sphere

Lecture 7: Protectile Motion

Lecture 8: Minimum Surface of Revolution

Lecture 9: Inverse Square Law of Motion

Lecture 10: Direct Distance Law Motion

Lecture 11: Fluid Motion

Lecture 12: Newton's Solid of Minimum Resistance

Lecture 13: Snell's Law

Chapter 3: First Variation Analytic Derivation

Lecture 1: Beltrami Identity

Lecture 2: Partial Differentlon of a Functional

Lecture 3: Euler Lagrange in terms of a Total Derivative

Lecture 4: Zero Identity

Lecture 5: Analytic Derivation of Euler Lagrange Equation

Lecture 6: Fundamental Leema of Calculus of Variations

Chapter 4: Double Pendulum

Lecture 1: Double Pendulum 1

Lecture 2: Double Pendulum 2

Lecture 3: Double Pendulum 3

Lecture 4: Double Pendulum 4

Lecture 5: Double Pendulum 5

Lecture 6: Double Pendulum in Matlab

Lecture 7: Double Pendulum in Vpython

Lecture 8: Goodbye

Chapter 5: Bonus Video

Lecture 1: The Second Variation (next course)

Instructors

Ross McGowan
Applied Mathematics and Computer Science Educator

Rating Distribution

1 stars: 0 votes
2 stars: 3 votes
3 stars: 10 votes
4 stars: 27 votes
5 stars: 56 votes

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