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I'm the second-year college student in the Mathematics Faculty. I'm having difficulty in finding orientation for self-study. Can anyone show me the course of Mathematics in some universities in the world, from the first-year to the the final year as well? I'm following Rudin for analysis and J. Kelly for general topology, and I'm going to learn Complex Analysis, Euclidean Geometry, and Differential Equations. But I want some courses for self-study. And of course, textbooks for it. It's my first time to have question and my English is not so good. Thanks for your answer.

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Did you mean Kelley's general topology? (You wrote Kelly.) –  Martin Sleziak Dec 5 '12 at 13:57
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There seemes to be a multi-factorial within the title. –  FrenzY DT. Dec 5 '12 at 15:26

1 Answer 1

You want to understand the term OpenCourseWare. Here are schools that partake (and you can search their websites for courses on your needs).

http://en.wikipedia.org/wiki/OpenCourseWare

From this site, these are some of the large universities that partake, with this listing being roughly in the order of adoption of OCW principles.

Massachusetts Institute of Technology (MIT)

University of California, Berkeley

Stanford University

Princeton University

University of Pennsylvania

University of Michigan

Harvard University

Yale University

Caltech

For example:

Complex Analysis http://ocw.mit.edu/courses/mathematics/18-112-functions-of-a-complex-variable-fall-2008/syllabus/

Euclidean Geometry http://www.core.org.cn/OcwWeb/Mathematics/18-022Fall-2005/LectureNotes/index.htm

Differential Equations http://ocw.mit.edu/courses/mathematics/18-03-differential-equations-spring-2010/index.htm

As another example, at Princeton, you have: http://www.virtualprofessors.com/category/mathematics

This effort has also gone global, for example Oxford: http://www.maths.ox.ac.uk/notices/opencourseware

You could also look at the Khan Academy for some of these items: http://www.khanacademy.org/

There is also this site and it claims to also have math, but I have not spent enough time there yet: http://www.open.edu/openlearn/science-maths-technology?seeall=1

There are many wonderful books in these areas too, so you might want to peruse your closest library. There are probably free books online in these areas too that you can search out.

Remember, patience, practice, persistence! Enjoy!

Regards -A

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Do you anything about Mathematics Course in some famous universities like Priceton, Oxford??? So sad but I don't have enough time to follow one full course in OCW. Just a list of Subjects, like the first year I learned Classical Analysis, Linear Algebra, General Algebra. the 2nd is Real Analysis, General Topology, Elemetary Number Theory, and so on. what about another universities. Anyway, OCW is great opportunity^^. Thank you so much!! –  Le Van Tu Dec 5 '12 at 14:09
    
I added Princeton and Oxford as another example and the list of BIG universities that offer open course ware. There are also projects in open book ware that you can look up. Have a great day! -A –  Amzoti Dec 5 '12 at 15:24
    
Ahhhh, the aforementioned link (two posts ahead of this one!)+1+1 –  amWhy May 16 '13 at 1:00

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