I'm a senior physics student at UIC, and going to study condensed matter physics in graduate school.
I'm proficient at:
- Classical mechanics (Newtonian mech., Lagrangian mech., Dynamical systems, Moment of inertia tensor, General Coordinates, etc.)
- Quantum mechanics (1st Quantization, Solutions to Schrodinger Equation, Eigenstates of H.O., H-atom, Angular Momentum, Spin, Perturbation theory)
- Electromagnetism (Most things Involving Maxwell Equations, Induction, Flux, Lorentz forces)
- Special Relativity (Lorentz Transformations, Geometry of Minkowski Space, four-vectors)
- Waves and Vibrations
- Statics and Dynamics
- Differential Equations (ODEs and some PDEs)
- Linear Algebra
- Some Group Theory
- Some complex analysis
- Some Differential Geometry
Things I'm not very proficient at, but in the process of "mastering":
- Thermal and Statistical Mechanics
- Optics
- General Relativity
- 2nd Quantization and QFT