| Algebra | Analysis | Dynamical System |
|---|---|---|
| Linear Algebra | Mathematical Analysis | Ordinary Differential Equations |
| Abstract Algebra | Real Analysis | Partial Differential Equations |
| Matrix Theory | Complex Analysis | Governing Equations |
| Functional Analysis |
| Probability | Statistics | Information theory |
|---|---|---|
| Axiomatic Probability | Statistical Inference | |
| Random Variable | Classification and regression | |
| Random Process | Clustering | |
| Dimensionality reduction |
modeling (applied math)
Optimization (coming)
| Mechanics | Thermodynamics | Electromagnetism | Optics |
|---|---|---|---|
| Classical Mechanics | Thermodynamics | Electrical network | Physical optics |
| Fluid Mechanics | Statistical Thermodynamics | Electrostatics and Magnetostatics | |
| Material Mechanics | Electrodynamics | ||
| Solid Mechanics | |||
| Structural Mechanics |
Topics: