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Course Queries Syllabus Queries 2 years ago
Posted on 16 Aug 2022, this text provides information on Syllabus Queries related to Course Queries. Please note that while accuracy is prioritized, the data presented might not be entirely correct or up-to-date. This information is offered for general knowledge and informational purposes only, and should not be considered as a substitute for professional advice.
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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 :
Answering this question rigorously will help many out there who are seeking answer to similar question.
1) Yes, it is possible. I know several bright high school students who self-taught analysis, algebra and number theory. It is also very, very, very hard. Concerning resources, there are a lot to mention, but one resource is an absolute requirement: a complete, utter mastery of high school material, including those hard problems at the end of the section nobody looks at. You could get away with gaps in your knowledge if you were attending a competent school, but otherwise, without a solid basis in all things high-school, you will be completely lost.
2) Who can tell? But my bet is a resounding no. Not because you are not smart. Because the odds are overwhelming that somebody as smart as you is attending one of those schools. They have the founding and they have the great teachers. And great teachers do make a difference: that is why they are great teachers. This gives those students a huge heads up. You may be able to cover the lost ground, but definitely at the expense of time.
3) Best piece of advice: do not start coding after completing a math major. Start before or concurrently with that. There is no need for huge commitment: learn how to implement known algorithms efficiently, some basic managerial skills for application/system communications, and above all, some basic best practice principles in programming (please!). Some programming mindset can help you enormously with your mathematics education.
4) I cannot answer that, because I do not know what a 'top notch mathematics student' is, and I am willing to bet you meant to ask a different question there.
Final piece of advice: although from second-hand experience with Indian education I am willing to accept your story, before rejecting your educational environment, make sure you have really investigated all the options it offers, and you are not blinding yourself to a good mentoring opportunity with faraway visions of grandeur.
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