Difference between revisions of "Algebra/Intermediate"
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| − | + | The following topics provide a good study of intermediate [[algebra]]. | |
| + | |||
* [[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 7: | Line 9: | ||
** [[Differences of powers]] | ** [[Differences of powers]] | ||
** [[Simon's Favorite Factoring Trick]] | ** [[Simon's Favorite Factoring Trick]] | ||
| + | ** [[Sophie Germain Identity]] | ||
** [[Sums of powers]] | ** [[Sums of powers]] | ||
* [[Function | Functions]] | * [[Function | Functions]] | ||
** [[Exponential function | Exponentials]] | ** [[Exponential function | Exponentials]] | ||
** [[Greatest integer function]] | ** [[Greatest integer function]] | ||
| − | ** [[Graph | Graphing]] | + | ** [[Graph of a function| Graphing]] |
** [[Least integer function]] | ** [[Least integer function]] | ||
** [[Logarithm | Logarithms]] | ** [[Logarithm | Logarithms]] | ||
** [[Polynomial | Polynomials]] | ** [[Polynomial | Polynomials]] | ||
*** [[Descartes Rule of Signs]] | *** [[Descartes Rule of Signs]] | ||
| + | *** 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]] | ||
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** [[Triangle Inequality]] | ** [[Triangle Inequality]] | ||
* [[Newton sums]] | * [[Newton sums]] | ||
| + | * [[Sequence]]s | ||
| + | ** [[Arithmetic sequence]]s | ||
| + | ** [[Geometric sequence]]s | ||
| + | ** [[Harmonic sequence]]s | ||
| + | ** [[Recursion]] | ||
| + | * [[Series]] | ||
| + | ** [[Arithmetic series]] | ||
| + | ** [[Arithmetico-geometric series]] | ||
| + | ** [[Geometric series]] | ||
| + | ** [[Telescoping]] series and sums | ||
* [[Substitution]] methods | * [[Substitution]] methods | ||
* [[Trigonometry]] | * [[Trigonometry]] | ||
| − | ** [[ | + | ** [[De Moivre's Theorem]] |
** [[Roots of unity]] | ** [[Roots of unity]] | ||
* [[Continued expressions|Continued fractions]] | * [[Continued expressions|Continued fractions]] | ||
| + | |||
| + | == Resources == | ||
| + | === Books === | ||
| + | * [https://artofproblemsolving.com/store/item/aops-vol2| AoPS Volume 2] | ||
| + | |||
| + | === Classes === | ||
| + | * The [http://www.artofproblemsolving.com/Classes/classdetails.php?course_id=4 Intermediate Algebra Class] -- Intermediate Algebra Training. | ||
| + | * 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]] |
| − | * [[Algebra/Olympiad | Olympiad | + | * [[Algebra/Introduction | Introductory Algebra]] |
| − | + | * [[Algebra/Olympiad | Olympiad Algebra]] | |
| − | |||
[[Category:Intermediate Mathematics Topics]] | [[Category:Intermediate Mathematics Topics]] | ||
Revision as of 03:28, 21 June 2020
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.
