- Discrete (digital)
- Continuous (analogue)

Types of Structures in Math

Algebra

A set that has additional features (e.g. operations, relations, metrics, topology)

University of Michigan - Ann Arbor

Pure:
- Quantity (number theory)
- Space (geometry)
- Structure (Algebra)
- Change (mathematical analysis)
- Combinatorics
- Topology

Applied:
- Probability Theory
- Computational Science
- Mathematical Physics
- Operational Research

Focuses of Math

Wikipedia

Study of financial risk and uncertainty. Combines elements of Business, Data Science, Statistics, and Computer Science to help quantify financial risk. Actuaries are mostly hired into the Financial or Insurance industries to model various economic uncertainties.

Actuarial Mathematics

The branch of "pure" math that studies integers and integer-value functions

Quantity (number theory)

Probability is the branch of math concerned with the likelihood of an event occuring, or the likelihood that an event is true. 

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