Ruda's Personal Wiki

• Academic Disciplines
• Categories of Methodology

Mathematics

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)

Topics

• Development of Common Mathematic Structures
• Math vs. Formal Sciences

Physics

Classical Physics

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

Modern Physics

• Special relativity
• Quantum physics
• Atomic physics
• Nuclear physics

Topics:

• Variational principles in mechanics
• GeneralScience

Engineering

| Computation | Geographic Information System | Petroleum | | :------------- | :------------- | | Introduction to Computation: C | | Poromechanics | | Algorithms and Data Structure | | Reservoir Numerical Simulation | | Numerical Analysis | | | Scientific Computing | | | Lattice Boltzmann Method | |

Economics

经济解释

Game Theory

Econometrics

• Econometrics
• Applied Econometrics