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 solutionNumerical solution with Python3Why 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)