Mathematics: Subdisciplines and Concepts

Calculus, trigonometry, statistics, and probability

Number theory, algebra, geometry, and analysis (correct)

Arithmetic, calculus, topology, and logic

Algebra, calculus, statistics, and geometry

A collection of assumptions and their implications

A set of random mathematical equations

A succession of applications of deductive rules to already established results (correct)

A series of experimental observations and their outcomes

Properties that are constantly changing

Properties based on experimental evidence

Random properties without any specific definition

Certain properties called axioms (correct)

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