Week 1: Oscillations in physical systems, Time period and frequency, Harmonic oscillator in one-dimension and its solutions, Superposition of simple harmonic oscillations, Lissajous figures.
Week 2: Damped harmonic oscillations and its solutions. Driven and damped oscillator and its solutions. Applications to vibration isolation.
Week 3: Impedance, Displacement and velocity resonance, Q-factor of the oscillator.
Week 4: Coupled oscillations, Normal modes and frequencies.
Week 5: Coupled oscillations of loaded string, Solvable examples of coupled oscillations.
Week 6: Wave equation and the transverse waves, Solutions of wave equation, Velocities in wave motion.
Week 7: Standing waves, Reflection and transmission of waves at a boundary, Impedance matching.
Week 8: Longitudinal waves, Sound waves in gases, Longitudinal waves in a solid, Application to periodic structures and earthquakes. Experimental techniques to measure speed of sound.
Week 9: Fourier analysis, Wave pulses, Applications of Fourier analysis.
Week 10: Waves in optical systems, Laws of reflection and refraction, Rays and wavefronts.
Week 11: Interference and Diffraction, Newton's rings, Fabry-Perot Interferometer,Fraunhofer diffraction.
Week 12: Introduction to nonlinear oscillations, Waves and solitons.