Difference between revisions of "Algebra/Intermediate"

 
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== Intermediate Topics ==
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The following topics provide a good study of intermediate [[algebra]].
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* [[Algebraic manipulation]]s
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** Working with expressions involving [[radical]]s
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**[[Logarithms]] and [[Exponents]]
 
* [[Equation | Equations]]
 
* [[Equation | Equations]]
 
** [[System of equations | Systems of equations]]
 
** [[System of equations | Systems of equations]]
 
* [[Factoring]]
 
* [[Factoring]]
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** [[Differences of powers]]
 
** [[Simon's Favorite Factoring Trick]]
 
** [[Simon's Favorite Factoring Trick]]
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** [[Sophie Germain Identity]]
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** [[Sums of powers]]
 
* [[Function | Functions]]
 
* [[Function | Functions]]
 
** [[Exponential function | Exponentials]]
 
** [[Exponential function | Exponentials]]
 
** [[Greatest integer function]]
 
** [[Greatest integer function]]
** [[Graph | Graphing]]
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** [[Graph of a function| Graphing]]
 
** [[Least integer function]]
 
** [[Least integer function]]
 
** [[Logarithm | Logarithms]]
 
** [[Logarithm | Logarithms]]
 
** [[Polynomial | Polynomials]]
 
** [[Polynomial | Polynomials]]
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*** [[Descartes Rule of Signs]]
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*** Multiplying Polynomials
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*** [[Division Algorithm]]
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*** Coefficients and Roots of Polynomials
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*** [[Newton's Sums]]
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*** [[Factor Theorem]]
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*** [[Remainder Theorem]]
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*** [[Symmetric polynomial]]s
 
** [[Functional equation| Functional Equations]]
 
** [[Functional equation| Functional Equations]]
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** Transforming Polynomials
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* [[Inequality | Inequalities]]
 
* [[Inequality | Inequalities]]
 
** [[Trivial inequality]]
 
** [[Trivial inequality]]
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** [[Triangle Inequality]]
 
** [[Triangle Inequality]]
 
* [[Newton sums]]
 
* [[Newton sums]]
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* [[Sequence]]s
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** [[Arithmetic sequence]]s
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** [[Geometric sequence]]s
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** [[Harmonic sequence]]s
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** [[Recursion]]
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* [[Series]]
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** [[Arithmetic series]]
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** [[Arithmetico-geometric series]]
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** [[Geometric series]]
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** [[Telescoping]] series and sums
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* [[Substitution]] methods
 
* [[Trigonometry]]
 
* [[Trigonometry]]
** [[DeMoivre's Theorem]]
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** [[De Moivre's Theorem]]
 
** [[Roots of unity]]
 
** [[Roots of unity]]
 
* [[Continued expressions|Continued fractions]]
 
* [[Continued expressions|Continued fractions]]
  
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== Resources ==
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=== Books ===
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* [https://artofproblemsolving.com/store/item/aops-vol2| AoPS Volume 2]
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=== Classes ===
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* The [http://www.artofproblemsolving.com/Classes/classdetails.php?course_id=4 Intermediate Algebra Class] -- Intermediate Algebra Training.
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* The [http://www.artofproblemsolving.com/Classes/AoPS_C_WOOT.php Worldwide Online Olympiad Training (WOOT) Program] -- Intermediate to Olympiad training in a variety of subjects, including algebra.
  
 
== See also ==
 
== See also ==
* [[Algebra/Introduction | Introductory algebra]]
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* [[Algebra/Introduction | Introductory Algebra]]
* [[Algebra/Olympiad | Olympiad algebra]]
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* [[Algebra/Olympiad | Olympiad Algebra]]
* [[Inequalities]]
 
 
 
  
[[Category:Intermediate Mathematics Topics]]
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[[Category:Algebra]] [[Category:Intermediate Mathematics Topics]]

Revision as of 15:24, 18 May 2021

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