Basic English Grammar, Tenses, Articles and Adjectives, Prepositions, Conjunctions, Verb-Subject Agreement, Vocabulary: Idioms and Words in Context, Reading Comprehension, Sequencing of Ideas, Critical Reasoning and Verbal Deduction

Data Interpretation: Tables, Graphs and Charts, Numerical Computation and Estimation, Ratios, Percentages, Powers and Exponents, Logarithms, Permutations and Combinations, Mensuration, Geometry and Elementary Statistics, Probability

Logic: Deduction and Induction, Analogy, Numerical Relations and Reasoning

Transformation of Shapes: Translation, Rotation, Scaling, Mirroring, Assembling and Grouping, Paper Folding, Cutting and Inking, Patterns in 2 and 3 Dimensions

Matrix Algebra and Rank, Systems of Linear Equations, Eigenvalues and Eigenvectors, Cayley-Hamilton Theorem

Mean Value Theorems, Maxima and Minima, Partial Derivatives and Multiple Integrals, Gradient, Divergence and Curl, Line, Surface and Volume Integrals, Stokes', Gauss' and Green's Theorems

First Order Equations: Linear and Nonlinear, Higher Order Linear Equations with Constant Coefficients, Cauchy's and Euler's Equations, Initial and Boundary Value Problems, Laplace Transforms

Analytic Functions, Cauchy-Riemann Equations, Cauchy's Integral Theorem and Integral Formula, Taylor and Laurent Series, Residue Theorem

Sampling Theorems and Conditional Probability, Mean, Median, Mode and Standard Deviation, Random Variables and Distributions, Binomial, Poisson and Normal Distributions, Correlation and Regression Analysis

Numerical Solutions of Linear and Nonlinear Algebraic Equations, Iterative Methods and Convergence, Numerical Integration and Differentiation, Single and Multi-step Methods for ODEs

Node and Mesh Analysis, Thevenin's and Norton's Theorems, Superposition and Maximum Power Transfer, Transient Response of RC, RL and RLC Circuits, Sinusoidal Steady-State Analysis and Resonance

Z, Y, H and ABCD Parameters, Network Synthesis Basics

LTI Systems and Convolution, Impulse Response, Periodic Signals and Fourier Series, Fourier Transform and its Properties, Laplace Transform, Z-Transform and Discrete-Time Fourier Transform, Sampling Theorem

Energy Bands in Intrinsic and Extrinsic Silicon, Carrier Transport: Diffusion and Drift Currents, Generation and Recombination, Poisson and Continuity Equations

Diode Equation and I-V Characteristics, Depletion Region and Junction Capacitance, Zener Diode and LED, Photodiode, Solar Cell

MOS Capacitor: Accumulation, Depletion, Inversion, CMOS Fabrication Basics, MOSFET Characteristics and Threshold Voltage, Small-Signal Model

BJT Characteristics and Operating Regions, Small-Signal Models, JFET and MESFET

Clipping and Clamping, Rectifiers and Voltage Multipliers, Small-Signal Analysis

Biasing and Stability, CE, CB and CC Configurations, Frequency Response and Miller Effect, Differential Amplifiers and Current Mirrors

Ideal Op-Amp Characteristics, Inverting and Non-Inverting Amplifiers, Integrators and Differentiators, Active Filters, Oscillators and Waveform Generation, 555 Timer

Feedback Topologies, Gain and Bandwidth Trade-offs, Barkhausen Criterion

Minimisation: K-Maps, Logic Gates and Families: TTL, CMOS

Adders, Subtractors, Comparators, Multiplexers, Flip-Flops, Counters, Registers, Finite State Machines

Sample and Hold Circuits, ADC and DAC Types, ROM, SRAM, DRAM

Architecture and Instruction Set, Timing Diagrams, Interrupts and Interfacing

Open-Loop and Closed-Loop Systems, Feedback Principles and Applications

Transient and Steady-State Response, Routh-Hurwitz Stability Criterion, Steady-State Error

Root Locus, Bode and Nyquist Plots, Gain and Phase Margins

State Transition Matrix, Controllability and Observability

Autocorrelation and Power Spectral Density, White and Coloured Noise, Gaussian Processes

Amplitude Modulation: DSB, SSB, VSB, Angle Modulation: FM and PM, Superheterodyne Receivers, Noise Performance

Pulse Code Modulation and Delta Modulation, Digital Modulation: ASK, PSK, FSK, QAM, Matched Filter and Intersymbol Interference, Error Probability Calculations

Entropy and Mutual Information, Channel Capacity: Shannon Theorem, Error Control Coding: Linear Block Codes, Convolutional Codes, Huffman Coding

Coulomb's Law and Gauss' Law, Electric Field and Potential, Biot-Savart and Ampere's Laws, Boundary Conditions, Capacitance and Inductance

Time-Varying Fields and Faraday's Law, Wave Equation and Uniform Plane Waves, Reflection and Refraction, Poynting Vector

Characteristic Impedance and VSWR, Impedance Matching: Smith Chart, Voltage and Current Distribution

Rectangular Waveguides and Cutoff Frequencies, Basics of Radar Systems, Radiation Patterns: Dipole and Monopole, Antenna Gain and Aperture