Competencies: Mathematics > Algebra
Algebra
Body of Knowledge
| Topic | Description | Relevance | Career Tracks |
|---|---|---|---|
College Algebra |
Foundational algebraic concepts including functions, polynomials, rational expressions, logarithms, systems of equations, and mathematical notation. Prerequisite for calculus and advanced mathematics. |
Medium |
Data Science, Engineering, Quantitative Analysis |
Abstract Algebra |
Groups, rings, fields, homomorphisms, isomorphisms, applications to cryptography |
Low |
Cryptographer, Security Researcher, ML Researcher |
Polynomial Algebra |
Polynomial operations, factoring, roots, fundamental theorem of algebra |
Medium |
Data Scientist, Engineer, Quantitative Analyst |
Matrices & Determinants |
Matrix operations, determinants, inverse matrices, systems of linear equations |
High |
ML Engineer, Data Scientist, Graphics Developer |
Exponentials & Logarithms |
Exponential functions, logarithmic scales, growth/decay models, complexity analysis |
High |
Data Scientist, Software Engineer, Quantitative Analyst |
Personal Status
| Topic | Level | Evidence | Active Projects | Gaps |
|---|---|---|---|---|
College Algebra |
Intermediate |
Active study — functions, polynomials, rational expressions, logarithms, systems of equations; foundation for CISSP cryptography and general mathematical literacy |
PRJ-domus-math: Mathematics for Infrastructure Professionals, Mathematics Learning Path |
Not yet complete — inequalities, sequences/series still in progress |