Syllabus

Introduction to vectors: linear independence – completeness – basis – dimensionality – inner product – orthogonality – displacement – derivatives of a vector – velocity – acceleration – plane polar coordinates.

Angular momentum: angular momentum and torque on a single particle – angular momentum and torque on a system of particles – moment of inertia – angular momentum of a rigid body

Planetary motion:  central force motion of two bodies – relative coordinates – reduction to one dimensional problem – spherical symmetry and conservation of angular momentum, consequences – planetary motion and Kelpler’s laws

Oscillations: Simple pendulum – 1-D harmonic oscillator – damped and forced harmonic oscillators – resonance

Special Relativity: Einstein’s correction – Space-time interval – length contraction – time dilation - four vectors – displacement – velocity – acceleration – Lorentz transformation – conservation of 4-momentum – Mass energy relation

Modern Physics: Photo electric effect - blackbody radiation - wave matter duality - uncertainty principle - Compton scattering