# Difference between revisions of "Algebra/Intermediate"

Etmetalakret (talk | contribs) |
|||

(7 intermediate revisions by 3 users not shown) | |||

Line 3: | Line 3: | ||

* [[Algebraic manipulation]]s | * [[Algebraic manipulation]]s | ||

** Working with expressions involving [[radical]]s | ** Working with expressions involving [[radical]]s | ||

+ | **[[Logarithms]] and [[Exponents]] | ||

* [[Equation | Equations]] | * [[Equation | Equations]] | ||

** [[System of equations | Systems of equations]] | ** [[System of equations | Systems of equations]] | ||

Line 18: | Line 19: | ||

** [[Polynomial | Polynomials]] | ** [[Polynomial | Polynomials]] | ||

*** [[Descartes Rule of Signs]] | *** [[Descartes Rule of Signs]] | ||

− | *** Multiplying | + | *** Multiplying Polynomials |

*** [[Division Algorithm]] | *** [[Division Algorithm]] | ||

+ | *** Coefficients and Roots of Polynomials | ||

+ | *** [[Newton's Sums]] | ||

*** [[Factor Theorem]] | *** [[Factor Theorem]] | ||

*** [[Remainder Theorem]] | *** [[Remainder Theorem]] | ||

*** [[Symmetric polynomial]]s | *** [[Symmetric polynomial]]s | ||

** [[Functional equation| Functional Equations]] | ** [[Functional equation| Functional Equations]] | ||

+ | ** Transforming Polynomials | ||

+ | |||

* [[Inequality | Inequalities]] | * [[Inequality | Inequalities]] | ||

** [[Trivial inequality]] | ** [[Trivial inequality]] | ||

Line 39: | Line 44: | ||

** [[Arithmetico-geometric series]] | ** [[Arithmetico-geometric series]] | ||

** [[Geometric series]] | ** [[Geometric series]] | ||

− | ** [[Telescoping]] series | + | ** [[Telescoping]] series and sums |

* [[Substitution]] methods | * [[Substitution]] methods | ||

* [[Trigonometry]] | * [[Trigonometry]] | ||

Line 49: | Line 54: | ||

== Resources == | == Resources == | ||

=== Books === | === Books === | ||

− | * [https://artofproblemsolving.com/store/item/aops-vol2| | + | * [https://artofproblemsolving.com/store/item/aops-vol2| AoPS Volume 2] |

=== Classes === | === Classes === | ||

Line 56: | Line 61: | ||

== See also == | == See also == | ||

− | |||

* [[Algebra/Introduction | Introductory Algebra]] | * [[Algebra/Introduction | Introductory Algebra]] | ||

* [[Algebra/Olympiad | Olympiad Algebra]] | * [[Algebra/Olympiad | Olympiad Algebra]] | ||

− | [[Category:Intermediate Mathematics Topics]] | + | [[Category:Algebra]] [[Category:Intermediate Mathematics Topics]] |

## Revision as of 15:24, 18 May 2021

The following topics provide a good study of intermediate algebra.

- Algebraic manipulations
- Working with expressions involving radicals
- Logarithms and Exponents

- Equations
- Factoring
- Functions
- Exponentials
- Greatest integer function
- Graphing
- Least integer function
- Logarithms
- Polynomials
- Descartes Rule of Signs
- Multiplying Polynomials
- Division Algorithm
- Coefficients and Roots of Polynomials
- Newton's Sums
- Factor Theorem
- Remainder Theorem
- Symmetric polynomials

- Functional Equations
- Transforming Polynomials

- Inequalities
- Newton sums
- Sequences
- Series
- Arithmetic series
- Arithmetico-geometric series
- Geometric series
- Telescoping series and sums

- Substitution methods
- Trigonometry
- Continued fractions

## Contents

## Resources

### Books

### Classes

- The Intermediate Algebra Class -- Intermediate Algebra Training.
- The Worldwide Online Olympiad Training (WOOT) Program -- Intermediate to Olympiad training in a variety of subjects, including algebra.