So here I go, I have enrolled myself in maths major this year but due to less marks in SSC I couldn't secure admission in a good university so I have to take admission wherever I could get with my marks. The problems is that teachers here are not qualified enough to teach mathematics properly and they teach horrible. I feel like studying on my would be much better than that. What makes the situation much worse is that most of the students are not at all interested in learning. They abhor it. But I'm interested in learning mathematics. In fact I love mathematics more than anything else in this world. But I don't know what is the best way to study higher level mathematics on my own.
So here are my doubts:
Is it possible to study university level mathematics on my own? If yes then how and what are resources that I will need? What are the best resources available on the web?
Will I be as proficient in mathematics as the students from top universities who are taught by great teachers?
What is the best piece of advice you will give me if I want to get into the field of coding/programming after completing my mathematics major?
How do I develop myself overall during these three years in order to become a top notch mathematics student?
I'm an average learner and love doing mathematics.
The syllabus that I have to cover is :
Calculus 2. Elementary Algebra 3. Analytical Geometry 4. Linear and abstract algebra 5. Differential calculus 6. Multivariate Calculus 7. Real and Numerical analysis 8. Probability and Statistics 8. Linear Programming 9. Discrete mathematics and 10. Mathematical modelling
Answering this question rigorously will help many out there who are seeking answer to similar question.