Competencies: Mathematics > Calculus
Calculus
Body of Knowledge
| Topic | Description | Relevance | Career Tracks |
|---|---|---|---|
Differential Calculus |
Limits, derivatives, rates of change, optimization, chain rule |
High |
ML Engineer, Data Scientist, Quantitative Analyst |
Integral Calculus |
Antiderivatives, definite integrals, area under curves, integration techniques |
Medium |
ML Engineer, Data Scientist, Quantitative Analyst |
Multivariable Calculus |
Partial derivatives, gradients, multiple integrals, vector calculus |
High |
ML Engineer, Data Scientist, Graphics Developer |
Gradient Descent |
Optimization for ML, learning rates, convergence, local minima |
Critical |
ML Engineer, Data Scientist, AI Engineer |
Taylor Series |
Series expansions, approximations, numerical methods applications |
Medium |
ML Engineer, Quantitative Analyst |
Differential Equations |
ODEs, PDEs, numerical solutions, applications in modeling |
Medium |
Data Scientist, Quantitative Analyst, Engineer |
Personal Status
| Topic | Level | Evidence | Active Projects | Gaps |
|---|---|---|---|---|
To be populated |
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