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 == | ||
| Line 6: | Line 6: | ||
** Substitution | ** Substitution | ||
** Elimination | ** Elimination | ||
| − | * [[Complex | + | * [[Complex number]] |
| − | * [[Conic | + | * [[Quadratic equation]] |
| + | * [[Conic sections]] | ||
* [[Polynomials]] | * [[Polynomials]] | ||
** [[Division Algorithm]] | ** [[Division Algorithm]] | ||
| Line 14: | Line 15: | ||
** [[Fundamental Theorem of Algebra]] | ** [[Fundamental Theorem of Algebra]] | ||
** [[Rational root theorem]] | ** [[Rational root theorem]] | ||
| − | ** [[Complex | + | ** [[Complex conjugate root theorem]] |
** [[Vieta's Formulas]] | ** [[Vieta's Formulas]] | ||
| − | ** [[ | + | ** [[Elementary symmetric polynomial]] |
| − | ** [[ | + | ** [[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]] | ||
| − | * [[Sequences]] and [[Series]] | + | * [[Sequence | Sequences]] and [[Series]] |
** [[Arithmetic sequence]] | ** [[Arithmetic sequence]] | ||
** [[Geometric sequence]] | ** [[Geometric sequence]] | ||
| − | ** [[Harmonic sequence]] | + | ** [[Harmonic series | Harmonic sequence]] |
| − | ** [[ | + | ** [[Arithmetico-geometric series | Arithmetico-geometric sequence]] |
** [[Telescoping]] | ** [[Telescoping]] | ||
** [[Recursion]] | ** [[Recursion]] | ||
* Miscellanous [[Functions]] | * Miscellanous [[Functions]] | ||
| − | ** [[ | + | ** [[Logarithm]] |
| − | ** [[ | + | ** [[Exponential function]] |
| − | ** [[ | + | ** [[Radical]] |
** [[Absolute value]] | ** [[Absolute value]] | ||
** [[Greatest integer function]] | ** [[Greatest integer function]] | ||
Latest revision as of 16:47, 3 November 2021
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
- 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.
