Difference between revisions of "Algebra/Intermediate"

 
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An intermediate-level study of geometry involves familiarity with introductory topics to a high level and a multitude of new topics.
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An intermediate-level study of algebra involves familiarity with introductory topics to a high level and a multitude of new topics.
  
 
== Topics ==  
 
== Topics ==  
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** Substitution
 
** Substitution
 
** Elimination
 
** Elimination
* [[Complex Numbers]]
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* [[Complex number]]
* [[Conic Sections]]
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* [[Quadratic equation]]
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* [[Conic sections]]
 
* [[Polynomials]]
 
* [[Polynomials]]
 
** [[Division Algorithm]]
 
** [[Division Algorithm]]
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** [[Fundamental Theorem of Algebra]]
 
** [[Fundamental Theorem of Algebra]]
 
** [[Rational root theorem]]
 
** [[Rational root theorem]]
** [[Complex Conjugate root theorem]]
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** [[Complex conjugate root theorem]]
 
** [[Vieta's Formulas]]
 
** [[Vieta's Formulas]]
** [[Newton Sums]]  
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** [[Elementary symmetric polynomial]]
** [[Symmetric Polynomial]]
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** [[Newton's Sums]]  
 
** [[Descartes Rule of Signs]]
 
** [[Descartes Rule of Signs]]
 
* [[Factoring]]
 
* [[Factoring]]
 
** [[Simon's Favorite Factoring Trick]]
 
** [[Simon's Favorite Factoring Trick]]
** [[Differences of powers]]
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** [[Sum and difference of powers]]
** [[Sums of powers]]
 
 
** [[Sophie Germain Identity]]
 
** [[Sophie Germain Identity]]
* [[Sequences]] and [[Series]]
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* [[Sequence | Sequences]] and [[Series]]
 
** [[Arithmetic sequence]]
 
** [[Arithmetic sequence]]
 
** [[Geometric sequence]]
 
** [[Geometric sequence]]
** [[Harmonic sequence]]
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** [[Harmonic series | Harmonic sequence]]
** [[Arithmetic-Geometric sequence]]
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** [[Arithmetico-geometric series | Arithmetico-geometric sequence]]
 
** [[Telescoping]]
 
** [[Telescoping]]
 
** [[Recursion]]
 
** [[Recursion]]
 
* Miscellanous [[Functions]]
 
* Miscellanous [[Functions]]
** [[Logarithms]]
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** [[Logarithm]]
** [[Exponentials]]
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** [[Exponential function]]
** [[Radicals]]
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** [[Radical]]
 
** [[Absolute value]]
 
** [[Absolute value]]
 
** [[Greatest integer function]]
 
** [[Greatest integer function]]

Latest revision as of 17:47, 3 November 2021