Mathematics
- 18.01 Single Variable Calculus
- 18.02 Multivariable Calculus
- 18.03 Differential Equations
- 18.06 Linear Algebra (18.06)
Physics
- 8.01 Physics I: Classical Mechanics
- 8.02 Physics II: Electricity And Magnetism
- 8.03 Physics III: Vibrations And Waves
- 8.07 Electromagnetism II
Quantum Physics
PRIMARY MATHEMATICS
- Dave E. Joyce's trigonometry course
- Beginning Algebra (West Texas A&M)
- Intermediate Algebra (West Texas A&M)
- Prof. James Binney's course on complex numbers (PDF)
- (nearly) complete overview of primary mathematics (K.Kubota, Kentucky)
- Chris Pope's lecture notes
- The complex plane. Cauchy theorems and contour integration (G. Cain, Atlanta)
CLASSICAL MECHANICS
- Static mechanics (forces, tension); hydrostatics. Newton's Laws.
- The elliptical orbits of planets. The many-body system.
- The action principle. Hamilton's equations. The Lagrangean. (Don't skip - extremely important!)
- The harmonic oscillator. The pendulum.
- Poisson's brackets.
- Wave equations. Liquids and gases. The Navier-Stokes equations. Viscosity and friction
- An intermediate level course on Analytical Classical Dynamics by R. Fitzpatrick, Univ. of Texas, Austin.
- A good set of Lecture notes from Harvard.
- A short course on Classical Mechanics by Prof. J. J. Binney
STATISTICAL MECHANICS & THERMODYNAMICS
- The first, second and third laws of thermodynamics.
- The Boltzmann distribution.
- The Carnot cycle. Entropy. Heat engines.
- Phase transitions. Thermodynamical models.
- The Ising Model (postpone techniques to solve the 2-dimensional Ising Model to later).
- Planck's radiation law (as a prelude to Quantum Mechanics)
ELECTRONICS
- Ohm's law, capacitors, inductors, using complex numbers to calculate their effects.
- Transistors, diodes (how these actually work comes later).
ELECTROMAGNETISM
- Maxwell's Theory for electromagnetism: homogeneous and inhomogeneous
- Maxwell's laws in a medium. Boundaries.
- W.J.Spence, Electromagnetism
COMPUTATIONAL PHYSICS
- Mathematica for Students of Science by James Kelly
- Angus MacKinnon, Computational Physics
- Prof. Mathews' projects on Numerical Analysis