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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)
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

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