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Wyatt's Notes — University

Physics

Physics

This section develops university-level physics from first principles, with emphasis on mathematical derivation and the explicit statement of assumptions. Each topic begins from the governing equations and proceeds by derivation, so that results are consequences of the underlying theory rather than empirical facts to be memorised.

The classical strand covers Newtonian mechanics, the Lagrangian and Hamiltonian formulations, electromagnetism from Maxwell”s equations, and thermodynamics. Where a phenomenon admits a quantitative model, the model is stated precisely, its domain of validity is identified, and its predictions are compared with the observed behaviour.

Readers should be fluent with vector calculus, ordinary and partial differential equations, and the methods of real analysis. Worked examples accompany each derivation, and cross-references connect the mathematics to the physical results that depend on it.

Overview

University-level physics notes covering mechanics, electromagnetism, quantum mechanics, and more.

Subjects Covered

  • Classical Mechanics: Newtonian, Lagrangian, Hamiltonian, rigid body dynamics
  • Electromagnetism: Maxwell’s equations, electrodynamics, relativity
  • Thermodynamics and Statistical Mechanics: Laws of thermodynamics, ensembles, phase transitions
  • Quantum Mechanics: Postulates, operators, approximation methods
  • Optics and Waves: Interference, diffraction, lasers
  • Solid State Physics: Crystal structures, band theory, superconductivity
  • Particle Physics and Cosmology: Standard Model, Big Bang, dark matter

Prerequisites

  • Vector calculus (divergence, curl, line integrals)
  • Ordinary and partial differential equations
  • Linear algebra (vectors, matrices, eigenvalues)
  • Basic quantum mechanics (helpful but not required)

How to Use These Notes

Start with classical mechanics to build foundational knowledge, then progress to electromagnetism and quantum mechanics. Each section includes worked examples and practice problems.

Use the sidebar to browse topics, or start with the introductory pages linked from the sidebar.

Additional Resources

Each section includes:

  • Detailed explanations of key concepts
  • Worked examples with step-by-step solutions
  • Practice problems with answers
  • Common pitfalls and how to avoid them
  • Connections to other areas of physics

Study Tips

  1. Master the foundations: Ensure you understand classical mechanics before moving to advanced topics
  2. Practise problems: Physics requires active problem solving, not just reading
  3. Derive results: Follow derivations step by step to build understanding
  4. Learn the experiments: Understand the experimental evidence for physical theories
  5. Connect to applications: Relate theoretical physics to real-world phenomena and technology