Additional prerequisites for General Relativity

[Alok Shah]

I am thinking of taking a course on General Theory of Relativity in the next semester of college. My major is in aerospace engineering. I have already completed courses on Calculus, Differential equations, Linear Algebra, and also have a fair bit of idea about tensor calculus.
What other prior knowledge would help me understand the course better ?

 

[Greg Bernhardt]

Have you covered any Special Relativity?

 

[Alok Shah]

Have you covered any Special Relativity?

No I haven't. How much time should it normally take to learn Special Relativity if I devote about 3-4 hours every day ?

 

[Catria]

Differential geometry should also be a consideration...

 

[Matrix0]

As an aerospace engineer, taking a course on General Theory of Relativity is a great way to expand your knowledge and understanding of the fundamental principles of space and time. In addition to the courses you have already completed in Calculus, Differential Equations, Linear Algebra, and tensor calculus, there are a few other prerequisites that can help you better understand General Relativity.

Firstly, a strong background in classical mechanics and electromagnetism would be beneficial. General Relativity builds upon these theories and understanding their principles will provide a solid foundation for learning about gravity and spacetime.

Secondly, knowledge of special relativity is crucial for understanding General Relativity. Special relativity deals with the behavior of objects moving at high speeds, while General Relativity extends this to include the effects of gravity.

Lastly, a basic understanding of geometry and differential geometry would also be helpful. General Relativity utilizes mathematical concepts such as curved spacetime and geodesics, which are best understood within the context of geometry.

In summary, a strong background in classical mechanics, electromagnetism, special relativity, and geometry will greatly enhance your understanding of General Relativity. I wish you all the best in your studies and hope you find the course both challenging and rewarding.