How to study Theoretical Mechanics?

[Sidvlpr0142]

I know Single variable Calculus and I have a basic understanding of multivariable calculus. I also happen to know basic linear algebra. What are the mathematical pre-requisites needed in order to self-study theoretical mechanics?
I'm planning to take this course http://theoreticalminimum.com/courses/classical-mechanics/2011/fall taught by Leonard Susskind. I'm a first year fall (first term) 2014 mathematical physics student.

 

[ShayanJ]

Knowing some calculus of variations and also methods of solving ordinary differential equations will help too. You should also be able to work with different coordinate systems. Some knowledge of vector analysis and a little about tensors is good too. I think reading the related chapters from Mathematical methods for Physicists by Arfken will give you what you need.
I should say those courses, as the name implies, just give a minimum knowledge about what's going on. To actually learn it, you should take more extended courses.

 

[Leaph]

Shyan has told you everything you need, but I'd like to stress the importance of multivariable calculus. In particular, you are better to deeply understand the difference between partial derivative, total derivative and differential

 

[Sidvlpr0142]

Thanks a lot. Yes, I have a theoretical mechanics course the third term in my university. But I just can't wait for it. Plus I have a lot of time, so why not spend it.

 

[Matrix0]

To effectively study theoretical mechanics, it is important to have a strong foundation in mathematics. Single variable calculus, basic understanding of multivariable calculus, and basic linear algebra are all important prerequisites for studying theoretical mechanics. These mathematical concepts are essential for understanding the fundamental principles and equations of classical mechanics.

In addition to these prerequisites, it would also be beneficial to have a basic understanding of differential equations and vector calculus. These mathematical tools are commonly used in theoretical mechanics to model and solve complex systems.

As for the course you are planning to take with Leonard Susskind, it seems like a great opportunity to deepen your understanding of theoretical mechanics. I would recommend reviewing your knowledge of single variable calculus and multivariable calculus before starting the course, as well as brushing up on your linear algebra skills. It may also be helpful to familiarize yourself with differential equations and vector calculus before diving into the course material.

Overall, it is important to have a strong mathematical background in order to effectively study theoretical mechanics. With the right prerequisites and a dedicated approach to learning, you will be well-equipped to self-study this fascinating subject. Best of luck in your studies!