# Syllabi

A teaching philosophy: http://columbiaspectator.com/2012/11/08/imparting-scientific-appreciation

Astr1000K: Introduction to the Universe

• Galileo, Kepler, the laws of motion
• the electromagnetic spectrum, light, luminosity, flux, distance and velocity
• the expansion of the Universe and the Hubble law
• Dark matter, dark energy, the Cosmic Microwave Background, exoplanets and life elsewhere in the Universe
• The relativistic multiverse

Phys 2211: Principles of Physics I(course link)

Basics of dynamics

• motion in one and two dimensions
• Newton’s  laws
• work and kinetic energy

Conservation laws

• conservation of energy
• conservation of linear momentum
• conservation of angular momentum

Applications

• gravity
• static equilibrium
• waves

Elements of modern physics

• relativity

Phys 2212: Principles of Physics II

The electric field

• Coulomb’s law
• Gauss’ law
• Electric potential

The magnetic field

• Biot-Savart law
• Gauss’ and Ampere’s law
• Induction

Circuits

• Ohm’s law
• LC, RL and RC circuits
• RLC circuits

Maxwell’s equations

• Displacement current
• Wave equation
• Interference, diffraction, optics

Elements of Modern Physics

• the quantum world

Phys 3220: Electromagnetism I

Electric fields

• Gauss' law for electric fields
• Divergence and curl of electric field
• Electric potential

Magnetic fields

• Ampere's law
• Divergence and curl of magnetic fields
• Magnetic induction
• Vector potential

Electromagnetic waves

• Displacement current
• Magnetic monopoles
• E and B waves

Special Relativity

• Spacetime diagrams
• Invariant interval
• Relativity of simultaneity

Phys 3730: Relativity

Special Relativity

• Spacetime diagrams
• The Invariant interval
• Relative simultaneity
• E = mc2
• Energy-momentum 4-vector
• Collisions and 4-momentum conservation

General Relativity

• Acceleration, event horizons, and the Principle of Equivalence
• The metric, curved space and curved spacetime
• Connections and local vs. global coordinate transformations
• Geodesic equation
• Newtonian gravity as the curvature of time
• Tensors
• Maxwell equations in curved spacetime
• The field equations
• The Schwarzschild solution and black holes

Phys 4210: Quantum Physics

• Double slit experiments
• Schrodinger's Equation
• Statistical interpretation
• Uncertainty Principle
• Free particle
• Square wells
• Harmonic oscillator
• Hydrogen atom
• Formalism