Difference between revisions of "Algebra/Intermediate"
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| − | An intermediate-level study of | + | An intermediate-level study of algebra involves familiarity with introductory topics to a high level and a multitude of new topics. |
== Topics == | == Topics == | ||
* Techniques for Solving Equations | * Techniques for Solving Equations | ||
** [[System of equations]] | ** [[System of equations]] | ||
| − | ** Substitution | + | *** Substitution |
| − | ** Elimination | + | *** Elimination |
| − | * [[Complex | + | * [[Complex number]] |
| + | * [[Quadratic equation]] | ||
* [[Conic sections]] | * [[Conic sections]] | ||
* [[Polynomials]] | * [[Polynomials]] | ||
| Line 16: | Line 17: | ||
** [[Complex conjugate root theorem]] | ** [[Complex conjugate root theorem]] | ||
** [[Vieta's Formulas]] | ** [[Vieta's Formulas]] | ||
| + | ** [[Elementary symmetric polynomial]] | ||
** [[Newton's Sums]] | ** [[Newton's Sums]] | ||
| − | |||
** [[Descartes Rule of Signs]] | ** [[Descartes Rule of Signs]] | ||
* [[Factoring]] | * [[Factoring]] | ||
** [[Simon's Favorite Factoring Trick]] | ** [[Simon's Favorite Factoring Trick]] | ||
| − | ** [[ | + | ** [[Sum and difference of powers]] |
| − | |||
** [[Sophie Germain Identity]] | ** [[Sophie Germain Identity]] | ||
* [[Sequence | Sequences]] and [[Series]] | * [[Sequence | Sequences]] and [[Series]] | ||
Latest revision as of 16:06, 7 December 2024
An intermediate-level study of algebra involves familiarity with introductory topics to a high level and a multitude of new topics.
Contents
Topics
- Techniques for Solving Equations
- System of equations
- Substitution
- Elimination
- System of equations
- Complex number
- Quadratic equation
- Conic sections
- Polynomials
- Factoring
- Sequences and Series
- Miscellanous Functions
- Inequalities
- Functional equations
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.
