Syllabus for the qualifying exam:

You can expect questions about any material covered in an introductory physics text. You can expect questions on advanced undergraduate physics concerning the topics listed below.

- CLASSICAL MECHANICS
- Newton's Second Law of Motion
- Some Commonly Encountered Forces
- Impulsive Forces
- Conservation of Linear Momentum, Angular Momentum and Mechanical Energy
- Collisions Between Particles
- Problems in which the Motion is Specified and the Forces must be Determined
- Use of Non-inertial Reference Frames
- Principal Axes
- Lagrange's and Hamilton's Equations for a Conservative System
- Normal Mode Analysis of Small Oscillations about Equilibrium
- Motion of a Particle in a Central Potential
- Motion of a Particle in a 1/r Potential
- Relative and Center-of-Mass Coordinates
- Mechanical Waves

- SPECIAL RELATIVITY
- Lorentz Transformations in one Spatial Dimension
- Time Dilation
- Lorentz Contraction
- Lorentz Transformation of Velocity and Acceleration
- Momentum and Energy
- The Doppler Shift
- Collisions

- ELECTRICITY AND MAGNETISM
- Maxwell's Equations and the Boundary Conditions on
**E**and**B** - Electrostatics
- Solving Problems Using the Uniqueness Theorems of Electrostatics
- Maxwell's Equations in the Presence of Material Media
- Ohm's Law and DC Circuits
- AC Circuits with Harmonic Driving Voltage
- Power Consumption in AC Circuits
- Permanent Magnets
- Magnetic Fields Produced by Free, Time-Independent Currents
- The Lorentz Force
- Potentials in Time-Dependent Situations
- Lenz's Law
- Energy and Momentum Densities and Flux
- Inductance
- Lorentz Transformations of the
**E**and**B**Fields - Plane Wave Solutions of Maxwell's Equations in a Homogeneous Non-conducting Isotropic Medium
- Simple Microscopic Models of Electrical Conductivity and Index of Refraction
- Plane waves at interfaces
- Electromagnetic Waves in Cavities and Pipes Within Perfect Conductors
- Radiation by Non-relativistic Accelerating Charges

- Maxwell's Equations and the Boundary Conditions on

- QUANTUM MECHANICS
- Classical Mechanics vs. Quantum Mechanics
- The Formalism of Quantum Mechanics
- Angular Momentum
- Bound State Solutions of the One-Particle Schroedinger Equation
- Density of States
- Approximation Methods
- Non-relativistic Charged Particle in an Electromagnetic Field
- Time-Dependent Problems
- Scattering in One Dimension by a Localized Potential
- Scattering by a Three-Dimensional Localized Potential
- Born Approximation

The book, "A REVIEW OF UNDERGRADUATE PHYSICS", presents a clear summary of most of the material covered in an American undergraduate program in physics.

A REVIEW OF UNDERGRADUATE PHYSICS

BENJAMIN F. BAYMAN, University of Minnesota

MORTON HAMERMESH, University of Minnesota

JOHN WILEY & SONS

Links to solved problems: