Mathematics: A Diverse Academic Discipline

Differential equations, linear algebra, topology, and combinatorics

Logic, set theory, abstract algebra, and discrete mathematics

Calculus, trigonometry, statistics, and probability

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

Application of statistical methods to validate mathematical principles

Development of mathematical models based on real-world phenomena

Discovery of properties of abstract objects and the use of pure reason to prove them (correct)

Experimental testing of mathematical theories

A process of applying statistical tests to confirm mathematical hypotheses

A series of experimental trials to validate mathematical conjectures

A combination of trial and error methods to derive mathematical conclusions

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

<p>Natural sciences, engineering, medicine, finance, computer science, and social sciences</p> Signup and view all the answers

<p>Statistics and game theory</p> Signup and view all the answers