Teaching

Physics notes designed for clarity, intuition, and mathematical depth.

From high school classrooms to master's-level courses, teaching has always been central to Darsh's work. The notes below are structured to help students build first-principles understanding rather than memorizing formulas.

Teaching philosophy

Start with concepts, move to structure, then reinforce through worked examples and mathematical formalism.

Range

Topics span foundational mechanics to advanced field theory, with both intuition-first and mathematically rigorous pathways.

8Core note sets across theoretical and mathematical physics
Multi-levelMaterial suitable from early university to advanced learners
ApproachConceptual narrative + equations + structured progression
Course Notes

Browse by topic

Quantum Field Theory

Quantum Field Theory

Advanced Theoretical Physics

QFT is the framework describing fundamental interactions (except gravity). These notes were built during deep self-study and focus on conceptual structure alongside formal derivations.

Open QFT Notes
General Relativity

General Relativity

Geometry and Gravity

Comprehensive GR notes connecting geometric ideas with physical interpretation, designed to make tensor methods and curved spacetime reasoning more approachable.

Open GR Notes
Classical Mechanics

Classical Mechanics

Lagrangian and Hamiltonian Methods

Mathematical classical mechanics notes emphasizing variational principles, generalized coordinates, canonical transformations, and problem-solving structure.

Open Classical Mechanics Notes
Foundations of Mathematics

Foundations of Mathematics

Logic, Set Theory, Group Theory

A foundations-first route through mathematical logic and structure, designed to strengthen rigor and proof-oriented thinking for physics and data science learners.

Open Foundations Notes
Quantum Theory

Quantum Theory

Bra-Ket / Vector Space Formulation

Third-year undergraduate level notes based on the Hilbert-space viewpoint of quantum theory, with focus on operators, states, and formalism fluency.

Open Quantum Theory Notes
Quantum Mechanics

Quantum Mechanics

Wavefunction Formulation

Wavefunction-based quantum mechanics notes that complement the vector-space treatment, useful for learners transitioning from intuition to formal operator methods.

Open Quantum Mechanics Notes
Statistical Mechanics

Statistical Mechanics

Thermodynamics and Ensembles

Introductory-to-intermediate notes on ensembles, entropy, partition functions, and the bridge between microscopic statistics and macroscopic thermodynamic laws.

Open Statistical Mechanics Notes
Magic of Physics

Magic of Physics

Science for Non-Majors

Summary notes for a University of Toronto course built for non-physics students, designed to make core physical ideas engaging and accessible.

Open Magic of Physics Notes