Difference between revisions of "User:Temperal/The Problem Solver's Resource"

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{| style='background:lime;border-width: 5px;border-color: limegreen;border-style: outset;opacity: 0.8;width:840px;height:300px;position:relative;top:10px;'
 
|+ <span style="background:aqua; border:1px solid black; opacity: 0.6;font-size:30px;position:relative;bottom:8px;border-width: 5px;border-color:blue;border-style: groove;position:absolute;top:50px;right:155px;width:820px;height:40px;padding:5px;">The Problem Solver's Resource</span>
 
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==<span style="font-size:20px; color: blue;">Introduction</span>==
 
==<span style="font-size:20px; color: blue;">Introduction</span>==
This is a collection of theorems, formulas, and other such things that are useful for competitions ranging from the AMC tests to the USAMO, from Mathcounts to the ARML. I've always thought that the things you actually need to know for such competitions were much too spread out, so that it was hard to find them when you needed them. Thus, I decided to create this index of useful information. It starts out with basic trigonometric formulas, and ends with theorems from calculus and advanced number theory. If there is anything incorrect or missing here, then feel free to add it in. Note that the project is incomplete as of now, and additional material is welcome.
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This is a collection of theorems, formulas, and other such things that are useful for competitions ranging from the AMC tests to the IMO, from Mathcounts to the ARML, from the iTest to Putnam. I've always thought that the things you actually need to know for such competitions were much too spread out, so that it was hard to find them when you needed them. Thus, I decided to create this index of useful information. It starts out with basic trigonometric formulas, and ends with theorems from calculus and advanced number theory. If there is anything incorrect or missing here, then feel free to add it in.  
  
'''Current number of pages completed: Introduction and 10 pages, templates for all 11 pages laid out.'''
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Note that these are just formula sheets with no explanation. This is '''not''' a good place to learn these topics; just a place to refresh your memory on the specific formulas.
  
*[[User:Temperal/The Problem Solver's Resource1|Trigonometry]]
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'''Current status: Algebra page needs to be completed, geometry page not started yet.'''
*[[User:Temperal/The Problem Solver's Resource2|Exponentials and Logarithms]]
 
*[[User:Temperal/The Problem Solver's Resource3|Summations and Products]]
 
*[[User:Temperal/The Problem Solver's Resource4|Simple Number Theory]]
 
*[[User:Temperal/The Problem Solver's Resource5|Combinatorics]]
 
*[[User:Temperal/The Problem Solver's Resource6|Modulos]]
 
*[[User:Temperal/The Problem Solver's Resource7|Limits]]
 
*[[User:Temperal/The Problem Solver's Resource8|Intermediate Number Theory (Inequalities)]]
 
*[[User:Temperal/The Problem Solver's Resource9|Derivatives]]
 
*[[User:Temperal/The Problem Solver's Resource10|Integrals]]
 
*[[User:Temperal/The Problem Solver's Resource11|Advanced Number Theory]]
 
  
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Pages on analysis and other advanced calculus topics may be added in the future.
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==<span style="font-size:20px; color: blue;">Table of Contents</span>==
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*[[User:Temperal/The Problem Solver's Resource|Introduction]]
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#[[User:Temperal/The Problem Solver's Resource1|Trigonometry]]
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#[[User:Temperal/The Problem Solver's Resource2|Exponentials and Logarithms]]
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#[[User:Temperal/The Problem Solver's Resource3|Summations and Products]]
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#[[User:Temperal/The Problem Solver's Resource4|Algebra]]
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#[[User:Temperal/The Problem Solver's Resource5|Combinatorics]]
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#[[User:Temperal/The Problem Solver's Resource6|Beginner/Intermediate Number Theory]]
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#[[User:Temperal/The Problem Solver's Resource7|Limits]]
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#[[User:Temperal/The Problem Solver's Resource8|Geometry]]
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#[[User:Temperal/The Problem Solver's Resource9|Advanced Number Theory]]
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#[[User:Temperal/The Problem Solver's Resource10|Complex Numbers]]
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#[[User:Temperal/The Problem Solver's Resource11|Inequalities]]
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*[[User:Temperal/The Problem Solver's Resource Tips and Tricks|Other Tips and Tricks]]
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*[[User:Temperal/The Problem Solver's Resource Proofs|Methods of Proof]]
 
[[User:Temperal/The Problem Solver's Resource1|Continue to page 1]]
 
[[User:Temperal/The Problem Solver's Resource1|Continue to page 1]]
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Latest revision as of 11:13, 11 January 2009


Introduction | Other Tips and Tricks | Methods of Proof | You are currently viewing the introduction.

Introduction

This is a collection of theorems, formulas, and other such things that are useful for competitions ranging from the AMC tests to the IMO, from Mathcounts to the ARML, from the iTest to Putnam. I've always thought that the things you actually need to know for such competitions were much too spread out, so that it was hard to find them when you needed them. Thus, I decided to create this index of useful information. It starts out with basic trigonometric formulas, and ends with theorems from calculus and advanced number theory. If there is anything incorrect or missing here, then feel free to add it in.

Note that these are just formula sheets with no explanation. This is not a good place to learn these topics; just a place to refresh your memory on the specific formulas.

Current status: Algebra page needs to be completed, geometry page not started yet.

Pages on analysis and other advanced calculus topics may be added in the future.

Table of Contents

  1. Trigonometry
  2. Exponentials and Logarithms
  3. Summations and Products
  4. Algebra
  5. Combinatorics
  6. Beginner/Intermediate Number Theory
  7. Limits
  8. Geometry
  9. Advanced Number Theory
  10. Complex Numbers
  11. Inequalities

Continue to page 1