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I want to create and develop a complete syllabus for mathematics Olympiad topics for my students. Would anyone help me to shape and create it?

As you know its main topics are Geometry, Number Theory, Combinatorics, Algebra and Inequalities.

ok i started to make a syllabus. so if anyone has any knowledge on this issue it would be a pleasure for me to hear from him/her.

Algebra

Pre-calculus

elementary calculus (up to integrals)

functional equations

Polynomials

Sequences and recursive relations

summing and multiplication techniques

To be Continued...

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closed as too broad by Benjamin Dickman, Chris C, DavidButlerUofA, Brendan W. Sullivan, celeriko Jun 27 '15 at 17:51

Please edit the question to limit it to a specific problem with enough detail to identify an adequate answer. Avoid asking multiple distinct questions at once. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.

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    $\begingroup$ See MESE 4551 and maybe MESE 2597. $\endgroup$ – Benjamin Dickman Jun 10 '15 at 23:02
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    $\begingroup$ The questions seems to be very broad. Can it be focused to make it more answerable? $\endgroup$ – Tommi Brander Jun 11 '15 at 6:44
  • $\begingroup$ Have a look at the bibliography in The Mathematical Olympiad Handbook. books.google.ca/… $\endgroup$ – Keith Jun 12 '15 at 5:42
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Any math olympiad is about more than its topics. You will definitely want to include books that help students learn to problem solve. One book I highly recommend is The Art and Craft of Problem Solving, by Paul Zeitz.

I might have ideas on the particular topics, but I'll edit later for those. I'm hoping others will give you more than I can.

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    $\begingroup$ I should think resources like the Art of Problem Solving site are easily found with a web search. While the question is reasonable, I would like to see more of what the poster has, so that I avoid unnecessary efforts. Gerhard "Knows Less Than A Websearch" Paseman, 2015.06.10 $\endgroup$ – Gerhard Paseman Jun 10 '15 at 22:27

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