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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 Math Wiki:Major areas.
Primary school mathematics (ages 5–10) |
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Counting |
Numbers |
Shapes |
Arithmetic |
Pre-algebra |
Fractions and percents |
* Charts |
* Tables |
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 |
Precalculus |
Survey of mathematics |
* Introduction to probability and statistics |
Calculus |
University level mathematics (ages 18–) |
Introduction to mathematics (for non-majors) |
* Mathematics education |
* College algebra |
* College mathematics |
* Finite mathematics |
Differential and integral calculus |
Multivariable calculus or vector calculus |
* Advanced calculus or * Introduction to real analysis |
Differential equations |
Linear algebra |
* Multilinear algebra |