Scalar and vector products, triple and quadruple products.Scalar and vector fields, differentiation of a vector, gradient, divergence, curl and O operations and their meaning, Gauss and Stokes’ theorem (no derivations required).
Oscillations: Linearity and superposition principle, free oscillation with one and two degrees of freedom, simple pendulum, combination of two simple harmonic motions. Lissajous figures, free and damped vibrations, forced vibrations and resonance, Q factor, wave equation, travelling and standing waves, superposition of waves, phase and group velocity.
Interference, Young’s double slit, interference in thin films and wedged shaped films. Fresnel and Fraunhofer diffraction: plane transmission grating, resolving power of a telescope and a microscope, resolving and dispersive power of a plane diffraction grating. Polarization: Polarization by reflection and refraction, Brewster’s law, quarter and half-wave plates, Production and analysis of circularly and elliptically polarized light.
Half-wave, full-wave and bridge rectifiers, ripple factor, rectification efficiency, filters (series in inductor, shunt capacitator, LC and π sections), voltage regulations, Zener diode as voltage regulator. Characteristic curves of bipolar transistors, the black box idea of CE, CB and CC transistor circuits as two-port network, negative and positive feedback. Barkhausen’s criterion for self-sustaining oscillations.
Number systems (binary, BCD), Logic gates, AND, OR, NAND, NOR, XOR and NXOR. Boolean algebra (Boolean laws and simple expressions), binary adders, half adder, half subtractor, full adder and full subtractor.