Competencies: Mathematics

Mathematics

Overview

Mathematical competency underpins cryptography, machine learning, algorithm design, network engineering, and analytical reasoning. This domain covers algebra through topology, differential geometry, analysis, and cryptographic foundations.

Industry Frameworks

  • Khan Academy / MIT OpenCourseWare — foundational through advanced

  • 3Blue1Brown — visual intuition for linear algebra and calculus

  • Discrete Mathematics (Rosen) — CS mathematical foundations

  • Introduction to Algorithms (CLRS) — algorithmic mathematics

Subdomains (13)

Subdomain Topics Personal Coverage Avg Level

Discrete Mathematics

13

Moderate

Intermediate

Probability & Statistics

12

Low

Beginner

Applied Mathematics

10

Moderate

Intermediate

Cryptographic Mathematics

10

Moderate

Intermediate

Linear Algebra

11

None

Algebra

8

Low

Beginner

Calculus

9

None

Logic & Proof

9

Moderate

Intermediate

Topology

11

None

Differential Geometry

10

None

Number Theory

11

None

Analysis

13

None

Differential Equations

11

None