Mathematics

• Calculus is the mathematical study of change. [1]

Include Analysis...

• Algebra is the study of operations and their application to solving equations.

Include Fields, Rings, Equations...

• Number theory is the study of integers

Include prime numbers,rational numbers, algebraic numbers...

• Arithmetic is the older term for number theory, and now refers to the study of elementary operations.[2]
• Geometry is the study of shape,

References

• Wikipedia
• Khan Academy