https://online.maryville.edu/blog/actuary-vs-data-scientist/
Actuary:
An actuary’s job is based on the premise that, given enough data, the right calculations will yield actionable insights that businesses can take to mitigate risk.

Data Scientist:
Like actuaries, data scientists spend their time analyzing data and making statistical predictions. However, unlike actuaries, who work primarily in insurance and deal chiefly with numbers, data scientists use a wide range of data to make predictions about a broader range of topics.

Actuary vs Data Scientist

https://online.maryville.edu/blog/actuary-vs-data-scientist/

Actuary and Data Science career differences article

Actuarial Mathematics (2nd Edition) by Newton L. Bowers, Hans U. Gerber, James C. Hickman, Donald A. Jones, and Cecil J. Nesbitt. Additional undergraduate program resources: https://lsa.umich.edu/math/undergraduates/major-and-minor-programs/actuarial-mathematics.html

Actuarial Mathematics Textbook by Bowers et al.

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.

University of Michigan - Ann Arbor

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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

Science is a systematic effort to build and organize knowledge as testable statements and predictions. Data science, as an interdisciplinary field, involves data and, by extension, statistics, or the systematic study of the organization, properties, and analysis of data and its role in inference, including our confidence in the inference. It uses scientific methods, processes, and algorithms to extract knowledge and infer insights from structured and unstructured data.

Data Science

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

Structure in math

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. 

Probability Theory

The list of helpful broad references about data science is categorized as follows:
1. Data science books
2. Data science online courses
3. Data science research papers
4. Images
5. Data science videos

Data science references

The marriage of Statistics, Computer Science, and Domin knowledge built Data Science.

Data science is interdisciplinary

A dataset is collections of data, which can be in the form of a table, network, text, image, video, sound, ...

Dataset

Data science in sports involves the application of statistical analysis, predictive modeling, and machine learning to sports-related data. It enables sports organizations to evaluate athletic performance, formulate game strategies, predict and prevent injuries, optimize scouting, and improve business operations such as fan engagement and ticket sales.

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