Theoretical Classical Mechanics: From Beginner to Expert
What you'll learn
- Kinematics: Position, velocity & acceleration are related by derivatives and integrals
- Dynamics: Forces, potentials, work, energy and momentum allow for a phenomenological description based on Newton's laws
- Circular motion: Angular velocity, acceleration, centripetal and centrifugal forces, torque and angular momentum
- Theoretical physics: Lagrangian and Hamiltonian approaches based on d'Alembert's principle and Hamilton's principle
- Solving differential equations analytically
- Programming & Numerical simulations: Solving differential equations in Python3
- Mathematical methods: Derivatives, integrals, Taylor expansions, coordinate systems, complex numbers & matrices
- Conservation laws based on Noether theorem and symmetries
- Nice examples like: Spinning top, Kepler's laws of planetary motion, coupled, damped and driven oscillators, pulleys, levers, Coriolis force and many more
Requirements
- Basic mathematics
- Recommended: What are derivatives, integrals and vectors?
Description
This course is for everyone who wants to learn about classical mechanic: Beginners to experts!
A bit of college mathematics (basic derivatives, integrals & vectors) is all you need to know!
Classical mechanics is the foundation of all disciplines in physics. It is typically at the very beginning of the university-level physics education. But that does not mean the classical physics is always super easy or even boring. Things become extremely complicated quickly and can lead to unexpected solutions. We can describe classical mechanics on different levels. I can guarantee that you will learn a lot no matter what your current skill level is.
You are kindly invited to join this carefully prepared course in which we derive the following concepts from scratch. I will present examples and have prepared quizzes and exercises for all topics.
[Level 1] Beginner: Kinematics (3 hours)
Overview & mathematical basics (derivatives, integrals, vectors)
Kinematics: Position, velocity & acceleration
[Level 2] Intermediate: Dynamics (9 hours)
Mathematics (Coordinate systems, multidimensional derivatives & integrals)
Dynamics: Forces & related quantities (work, potentials, energy, momentum)
Dynamics of the circular motion (torque, angular momentum)
[Level 3] Advanced: Theoretical mechanics (3.5 hours)
Lagrange’s approach (Constraints, action, Noether's theorem)
Hamilton’s approach & beyond (Legendre transformation, Hamilton's equations of motion)
[Level 4] Expert: Differential equations (8 hours)
Advanced mathematics (Complex numbers & matrices)
Differential equations: Analytical solution
Numerical solution with Python3
Why me?
My name is Börge Göbel and I am a postdoc working as a scientist in theoretical physics. Therefore, I use theoretical classical mechanics very often but I have not forgotten the time when I learned about it and still remember the problems that I and other students had.
I have refined my advisor skills as a tutor of Bachelor, Master and PhD students in theoretical physics and have other successful courses here on Udemy.
I hope you are excited and I kindly welcome you to our course!
Who this course is for:
- All skill levels: From beginners to experts
- [Level 1] Beginner: You know about derivatives and integrals and want to know how they are related to classical mechanics (kinematics)
- [Level 2] Intermediate: Your want to learn about forces and how they are related to work, potentials, energy and momenta (Dynamics)
- [Level 3] Advanced: You know about kinematics and dynamics and want to derive everything based on fundamental laws and principles (Theoretical physics approach)
- [Level 4] Expert: You want to know how to solve the equations of motion analytically and numerically (Differential equations)
Instructor
- 4.7 Instructor Rating
- 4,843 Reviews
- 36,966 Students
- 11 Courses
Hi, my name is Börge, I am a theoretical physicist working in the field for more than 10 years. I have been supervising several Bachelor, Master and PhD students and I am an experienced instructor on physics, mathematics and programming-related topics and want to spark your excitement for science. I will help you to become knowledgeable and successful in the STEM fields. Understanding Science, Technology, Engineering and Mathematics basically guarantees you to have a successful career and to be able to make the world a better place. However, getting into these extremely fascinating topics can be frustrating: They are often taught either too loosely or with a too strong focus on the mathematics.
My all-in-one courses are exactly the courses I wish I had when I was first getting into university-level mathematics, physics & programming!
You will benefit no matter what your skill level is: from ‘interested newcomer’ to ‘experienced university student’. Each beginner friendly course (mathematical basics included) condenses more than a whole semester of university to about 10h-20h of time-efficient videos, exercises, quizzes, and real-world examples.
Join 20,000+ happy students today in one of my comprehensive 5-star courses (most of them have been added to the Udemy Business collection). I am excited to go on this journey together with you :-)
Career as a scientist
Dr. Börge Göbel is a tutor and scientist working in theoretical physics. For his post-doctoral research position in quantum physics at a German university, he has to use and refine his programming (mostly Python and Mathematica), mathematics and physics skills on a daily basis. His 35+ original research publications in the most prestigious and renowned journals (including Nature & Science publishing groups) have been cited 1,500+ times and he has collaborated with outstanding researchers (including Nobel prize laureates) from all over the world.
The secret to do research successfully is not to hole up in complicated equations but to make the difficult concepts simple and accessible – to oneself and to others :-)