(remove advanced topics that appear in other list, Mathematics:Major areas) |
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<noinclude>|- |
<noinclude>|- |
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| * [[Pre-algebra]] |
| * [[Pre-algebra]] |
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| ⚫ | |||
| − | | <noinclude>* [[Fraction]]s and </noinclude>[[Percent]]s |
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| ⚫ | |||
| − | | * [[Chart]]s |
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| ⚫ | |||
| − | | * [[Table]]s |
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</noinclude>|- |
</noinclude>|- |
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! [[Secondary school mathematics]] (ages 11–17) |
! [[Secondary school mathematics]] (ages 11–17) |
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| Line 33: | Line 27: | ||
<noinclude>|- |
<noinclude>|- |
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| * [[Trigonometry]] |
| * [[Trigonometry]] |
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| − | </noinclude>|- |
+ | </noinclude><noinclude>|- |
| − | | [[Precalculus]] |
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| ⚫ | |||
| * [[Survey of mathematics]] |
| * [[Survey of mathematics]] |
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</noinclude><noinclude>|- |
</noinclude><noinclude>|- |
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| Line 62: | Line 54: | ||
| [[Calculus]] |
| [[Calculus]] |
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|- |
|- |
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| − | | [[Differential |
+ | | [[Differential equation]]s |
| ⚫ | |||
| ⚫ | |||
<noinclude>|- |
<noinclude>|- |
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| + | | * [[Partial differential equation]]s |
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| − | | * [[Multivariable calculus]] or * [[Vector calculus]] |
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| ⚫ | |||
| ⚫ | |||
</noinclude><noinclude>|- |
</noinclude><noinclude>|- |
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| * [[Advanced calculus]] or [[Introduction to real analysis]] |
| * [[Advanced calculus]] or [[Introduction to real analysis]] |
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| + | </noinclude><noinclude>|- |
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| + | | * [[Real and complex analysis|Real and complex analysis/variables]] |
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| + | </noinclude><noinclude>|- |
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| + | | * [[Measure theory]] |
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| ⚫ | |||
| + | | [[Linear algebra]] |
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| ⚫ | |||
| + | | * [[Vector and tensor analysis]] |
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| + | </noinclude><noinclude>|- |
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| + | | * [[Matrix theory]] |
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| + | </noinclude><noinclude>|- |
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| + | | * [[Numerical analysis|Numerical analysis/methods]] |
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| + | </noinclude><noinclude>|- |
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| + | | * [[Scientific computing]] |
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| + | </noinclude>|- |
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| + | | [[Abstract algebra]] or [[Algebraic structure]]s |
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| ⚫ | |||
| + | | * [[Group theory]] |
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| ⚫ | |||
| + | | * [[Mathematical modeling]] |
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</noinclude>|- |
</noinclude>|- |
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| [[Probability]] |
| [[Probability]] |
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<noinclude>|- |
<noinclude>|- |
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| + | | * [[Actuarial mathematics]] |
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| + | </noinclude><noinclude>|- |
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| + | | * [[Decision theory]] |
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| + | </noinclude><noinclude>|- |
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| + | | * [[Game theory]] |
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| + | </noinclude>|- |
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| + | | [[Optimization]]<noinclude> or * [[Mathematical programming]]</noinclude> |
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| + | <noinclude>|- |
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| + | | * [[Graph theory]] |
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| + | </noinclude>|- |
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| + | | [[Number theory]] |
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| + | <noinclude>|- |
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| + | | * [[Modern geometry]] |
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| + | </noinclude>|- |
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| + | | [[Topology]] |
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| ⚫ | |||
| [[Discrete mathematics]] |
| [[Discrete mathematics]] |
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| + | |- |
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| ⚫ | |||
| + | | [[Set theory]] |
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| + | |- |
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| + | | [[Abstract algebra]] |
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| + | <noinclude>|- |
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| + | | * [[Mathematical logic]] |
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| + | </noinclude>|}<noinclude> |
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[[Category:Main Page]] |
[[Category:Main Page]] |
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Revision as of 21:02, 28 September 2008
The entries below that are marked with an asterisk (*) are currently not being shown on the Main Page because the corresponding articles don't exist yet. If you notice that one of these entries actually has an existing article (a "bluelink" instead of a "redlink"), please edit the list to "unhide" the entry on the Main Page.
Topics are listed by the age at which serious study typically begins. This may vary by geographic location and educational institution. More advanced topics can be listed at Mathematics:Major areas.
| Primary school mathematics (ages 5–10) |
|---|
| Counting |
| Numbers |
| Shapes |
| Arithmetic |
| * Pre-algebra |
| Secondary school mathematics (ages 11–17) |
| Elementary algebra (symbolic arithmetic and equations) |
| Intermediate algebra (including functions and graphs) |
| Elementary geometry (plane figures, coordinate systems) |
| * Trigonometry |
| * Survey of mathematics |
| * Elementary probability |
| * Introduction to statistics |
| * Introduction to calculus |
| University level mathematics (ages 18–) |
| Introduction to mathematics (for non-majors) |
| * Mathematics education |
| * History of mathematics |
| * College mathematics |
| * Finite mathematics |
| * College algebra |
| Precalculus |
| Calculus |
| Differential equations |
| * Partial differential equations |
| * Integral equations |
| * Advanced calculus or Introduction to real analysis |
| * Real and complex analysis/variables |
| * Measure theory |
| Linear algebra |
| * Vector and tensor analysis |
| * Matrix theory |
| * Numerical analysis/methods |
| * Scientific computing |
| Abstract algebra or Algebraic structures |
| * Group theory |
| * Mathematical modeling |
| Probability |
| * Actuarial mathematics |
| * Decision theory |
| * Game theory |
| Optimization or * Mathematical programming |
| * Graph theory |
| Number theory |
| * Modern geometry |
| Topology |
| Discrete mathematics |
| Set theory |
| Abstract algebra |
| * Mathematical logic |