PRJ-domus-math: Mathematics for Infrastructure Professionals

1. Project Summary

Field Value

PRJ ID

PRJ-2025-EDU-001

Date Created

~2025

Owner

Evan Rosado

Priority

P1 (Active Education Track)

Category

Education / Mathematics

Status

Active (College Algebra foundations)

Commits

13

Repository

github.com/EvanusModestus/domus-math (private)

Local Path

~/atelier/_bibliotheca/domus-math

Build System

Quarto (HTML, PDF, EPUB) with Python computation

2. Purpose

domus-math is a structured mathematics learning path connecting theory to professional practice in infrastructure, security, and research computing. Built with Quarto for interactive Python computation, it provides a self-paced curriculum from college algebra through applied cryptography and ML foundations.

This is a standalone repository (not part of the Antora aggregation) because it uses Quarto instead of Antora for rendering, taking advantage of Jupyter notebooks and interactive computation.

3. Scope

3.1. Learning Roadmap

College Algebra --> Linear Algebra --> ML / Network Analysis
               --> Trigonometry --> Precalculus --> Calculus
               --> Statistics / Discrete Math --> Cryptography

3.2. Structure

Directory Content

foundations/

College Algebra (current focus), Trigonometry, Precalculus

core/

Linear Algebra, Statistics, Discrete Math

applied/

Cryptography, Network Analysis, ML Foundations, Research Computing

explorations/

Mathematical curiosities and side projects

3.3. Progress (College Algebra)

Primary textbook: Miller & Gerken, College Algebra 2e

  • R.1 Sets and Real Numbers — Complete

  • R.2 Exponents and Scientific Notation — Complete

  • R.3 Radicals and Rational Exponents — Complete

  • R.4 Polynomials — Complete

  • R.5 Factoring — Complete

  • R.6 Rational Expressions — Complete

  • Ch 1-8 Equations through Sequences — Pending

3.4. Domain Applications

Domain Math Required

Security

Number theory (crypto), probability (risk), statistics (anomaly detection)

Network

Graph theory (topology), linear algebra (adjacency matrices)

Cloud/Systems

Statistics (autoscaling), optimization, queuing theory

AI/ML

Linear algebra, calculus, probability, statistics

3.5. Tooling

  • Quarto for rendering (HTML, PDF, EPUB)

  • Python: SymPy (symbolic), NumPy/SciPy (numerical), Matplotlib (plots)

  • uv for Python environment management

4. Status

Aspect Status

Active Use

Active — college algebra review sections complete

Commits

13

Current Focus

College Algebra (R.1-R.6 complete, Ch 1-8 pending)

Build System

Quarto (standalone, not Antora-aggregated)

Maintenance

Active as study progresses

5. Related

6. Metadata

Field Value

PRJ ID

PRJ-2025-EDU-001

Author

Evan Rosado

Date Created

~2025

Last Updated

2026-03-30

Status

Active

Next Review

2026-04-15