Hello, I have a question about learning advanced topics in physics. To start, I am currently working through introductory calculus and physics (calculus-based), and I will eventually get into linear algrebra. However, I do not know what to do in order to learn, say, introductory quantum physics or the next level of physics that is available for me. This is a hobby more or less so I have no curriculum to follow. In other words, what mathematical material (vector calculus, differential calculus, etc.) is required for learning advanced topics in physics? And, can this be explained in a step-by-step manner or do I need to choose several topics in different subjects (random)? Thank you.