Theoretical / proof-based
Mathematical physics · Graduate · Physics
Topics
Advanced analysis
- Measure theory and Lebesgue integration
- Hilbert spaces and unbounded operators
- Distribution theory for Green's functions
- Spectral theory and resolvents
- Sobolev spaces for PDEs (intro)
Geometry and topology
- Differential forms and Stokes' theorem
- Fiber bundles and connections
- Characteristic classes overview
- Index theorems sketch (Atiyah–Singer)
- Topology in condensed matter contexts
Group theory and representations
- Compact Lie groups and Haar measure
- Representations of SU(2) and SU(3)
- Clebsch–Gordan and Wigner–Eckart in depth
- Young diagrams and tensor products
- Applications to quantum field theory
What each unit includes
Open a unit below for full materials. Typical resources:
- Study guide
- Exam Strategy
- Common Mistakes
- Worksheets
- Word problems
- Mixed Practice
- Multi-Unit Problems
- Review
- Practice test
- Answer key
Study units
Each unit includes a study guide, worksheets, review, practice test, and answer key. One unit is free; subscribe for the full class.
- Advanced analysis
Measure theory and Lebesgue integration
Coming soon - Geometry and topology
Differential forms and Stokes' theorem
Coming soon - Group theory and representations
Compact Lie groups and Haar measure
Coming soon
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$1,162 · Mathematical physics · 18 tutoring hrs
Study guides, worksheets, reviews, practice tests, and answer keys for 1 class. 18 tutoring hours (1 hr / week · semester). Bundle discount applied vs buying separately. Pay in full via Zelle.