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Academic Guidance Academic Guidance - Academic guidance for those pursuing a college degree... what college? Grad school? PhD help?


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October 4th, 2014, 07:02 AM   #1
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Learning math

Hi, I am in now starting my last year of high school, I like math and would like to study it further. However going to a university/college to study mathematics is not an option right now. I would like to get some ideas or resources that will help me learn mathematics. The subjects I know are: basic mathematics, set theory(never used it though so learning more is not bad), series(I do not know induction so that is one thing to learn),statistics and probability(not sure if the second one is a subject or part of statistics), algebra: variables,multiple variables,polynomials inequalities equations functions linear quadratic exponential functions,logarithms, can divide polynomials, calculus: derivative integrals limits, trigonometry geometry(high school level),vectors, imaginary numbers complex numbers. I am not sure if I divided the subjects correctly and maybe I have forgotten some things but that is basically it. What subjects would you suggest me to learn next, what books to read, websites, YouTube videos anything would be accepted. If you need more information in order to answer than ask and I will answer.
Thanks a lot for your help in advance

Last edited by NoNameY; October 4th, 2014 at 07:04 AM.
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October 4th, 2014, 07:34 AM   #2
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There are lots of courses online. Some you pay for, others are course notes from university courses. I would start with those and only buy books if you want more (although some of the online courses are pretty detailed).

The natural path from series is to study differential calculus which leads to series expansions. Once you have differential calculus you'll want to investigate the integral calculus, which can lead you on to orthogonal systems, complete systems and Fourier Series. Some of this you already have.

Further progression from calculus leads to differential equations (ordinary, then partial), vector calculus, double integrals, path integrals, complex residues, etc..

My main resource would be Lamar University. At home I use Tom Apostol's excellent volumes on Calculus.

I'll leave others to suggest paths on other branches of maths, except to say that I did find a beginner's course on Numbber Theory the other day.
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April 20th, 2015, 09:45 PM   #3
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Hi, you can try at some learning center and that will help you to improve your mathematics skills. You can also start tutoring, this will also clear your ideas.

Last edited by MarkFL; April 20th, 2015 at 09:58 PM. Reason: Remove unnecessary link
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