1. Oscillations and waves across the world of physics. Introduction to differential equations and methods of their solution.
2. Free vibrations in physics - Harmonic motion and its mathematical description
3. Damped and forced oscillations - Steady states, superposition and resonance in physics
4. Coupled oscillators and their modes
5. Mechanical waves - Progressive and standing waves, wave equation, Fourier series and decomposition, Doppler effect.
6. Mechanical waves in nature - sound transmission, supersonic speeds and shock waves, waves on water, musical instruments
7. Fourier transform - mathematical properties and applications
8. Scalar wave theory and its implications - Principle of superposition, interference and diffraction, coherence properties of light
9. Electromagnetic waves - wave equation, Helmholtz equation, monochromatic plane waves
10. Absorption and dispersion - phase and group velocity, physics of rainbows and other atmospheric phenomena - Hall and twilight phenomena
11. Photons and wave-particle dualism - Young's experiment, photoelectric effect
12. Electrons and De Broglie waves - particle wave function, electron microscopy and lithography
13. Schrödinger's equation and its implications, Heisenberg's uncertainty principle, electron in a quantum well, tunneling phenomenon and its applications in microscopy
2. Free vibrations in physics - Harmonic motion and its mathematical description
3. Damped and forced oscillations - Steady states, superposition and resonance in physics
4. Coupled oscillators and their modes
5. Mechanical waves - Progressive and standing waves, wave equation, Fourier series and decomposition, Doppler effect.
6. Mechanical waves in nature - sound transmission, supersonic speeds and shock waves, waves on water, musical instruments
7. Fourier transform - mathematical properties and applications
8. Scalar wave theory and its implications - Principle of superposition, interference and diffraction, coherence properties of light
9. Electromagnetic waves - wave equation, Helmholtz equation, monochromatic plane waves
10. Absorption and dispersion - phase and group velocity, physics of rainbows and other atmospheric phenomena - Hall and twilight phenomena
11. Photons and wave-particle dualism - Young's experiment, photoelectric effect
12. Electrons and De Broglie waves - particle wave function, electron microscopy and lithography
13. Schrödinger's equation and its implications, Heisenberg's uncertainty principle, electron in a quantum well, tunneling phenomenon and its applications in microscopy