Engineering Mathematics | Linear Algebra: Vector space, basis, linear dependence/independence, matrix algebra, eigenvalues/eigenvectors, rank, linear equations. |
Calculus: Mean value theorems, integral calculus, definite/improper integrals, partial derivatives, maxima/minima, multiple integrals. |
Differential Equations: First order (Linear/Nonlinear), higher order linear equations, initial/boundary value problems, PDEs. |
Complex Variables: Analytic functions, Cauchy's integral formula/theorem, Taylor's and Laurent's series, residue theorem. |
Probability and Statistics: Joint/conditional probability, discrete/continuous variables, distribution functions (Exponential, Poisson). |
Numerical Methods: Solutions of nonlinear equations, single/multi-step methods for differential equations. |
Networks | Laplace transform, nodal/mesh analysis, network theorems (Superposition, Thevenin, Norton), Steady-state analysis, RLC circuits, 2-port networks. |
Signals and Systems | Continuous/discrete-time Fourier series/transform, DFT, FFT, Z-Transform, sampling theorem, LTI systems, impulse response, frequency response. |
Electronic Devices | Energy bands, diffusion/drift current, P-N junction, Zener, Tunnel diodes, BJT, JFET, MOSFET, LED, Avalanche PhotoDiode, IC fabrication. |
Analog Circuits | Diode circuits, BJT/FET amplifier biasing, amplifier circuits, op-amp circuits, oscillators, power supplies, 555 timers. |
Digital Circuits | Boolean algebra, logic gates, combinational circuits, sequential circuits, ADC/DAC, memories (ROM, SRAM, DRAM), Microprocessor (8086). |
Control Systems | Feedback, transfer function, block diagrams, stability criteria (Routh-Hurwitz, Nyquist), Bode/root-locus plots, compensation, state variables. |
Communications | Noise, analog communication (AM, FM), information theory, digital modulation (ASK, PSK, FSK, QAM), error correction, TDMA, FDMA, CDMA. |
Electromagnetics | Maxwell's equations, boundary conditions, plane waves, polarization, transmission lines, impedance matching, S-parameters, waveguides, antennas. |