As you want to get the Electronics Corporation of India Limited entrance exam of Information Technology syllabus so here is the information of the same for you:

Networks
• Network graphs
• Fundamental circuit matrices
• Solution methods: nodal and mesh analysis
• Network theorems
• Thevenin and Norton’s maximum power transfer
• Superposition
• Wye-Delta transformation
• Steady state sinusoidal analysis
• Linear constant coefficient differential equations
• RLC circuits
• Time domain analysis
• Frequency domain analysis
• Solution of network equations using Laplace transforms
• State equations for networks

Electronic Devices
• Energy bands in silicon (Intrinsic and extrinsic silicon)
• Carrier transport in silicon
• Diffusion Current
• Drift Current
• Mobility
• Resistance
• Generation and recombination of carriers
• Diodes
• P-N Junction Diode
• Zener Diode
• Tunnel Diode
• LED
• Avalanche Photo Diode
• Transistor
• BJT
• JFET
• MOSFET
• Basics of Lasers
• MOS Capacitor
• Industrial Electronics
• Integrated circuits fabrication process
• Oxidation
• Diffusion
• Ion implantation
• Photolithography
• n-tub process
• p-tub process
• Twin-tub CMOS process.

Analog Circuits
• Small Signal Analysis
• Diode Circuits
• Clipping
• Clamping
• Rectifier
• Biasing
• Amplifiers
• Single-And Multi-Stage
• Simple op-amp circuits
• Differential and Operational
• Feedback Amplifier
• Power Amplifier
• Frequency response of amplifiers
• Sinusoidal oscillators
• Filters
• Function generators and wave-shaping circuits
• 555 Timers
• Power supplies

Digital circuits
• Boolean Algebra
• Digital IC Families (DTL TTL ECL MOS CMOS)
• Minimization of Boolean Functions
• Logic Gates
• Combinatorial circuits
• Code Converters
• Multiplexers
• Arithmetic Circuits
• Decoders
• PROM
• Sequential circuits
• Latches and Flip-Flops
• Counters
• Shift-Registers
• Semiconductor memories
• Microprocessor (8085)
• Architecture
• Programming
• Memory
• I/O Interfacing

Signals and Systems
• Fourier series
• Fourier Transform
• DFT and FFT
• Z-transform
• Sampling theorem
• Linear Time-Invariant (LTI) Systems
• Signal transmission through LTI systems

Control Systems
• Open loop and closed loop (feedback) systems
• Signal flow graphs
• Transient and steady state analysis of LTI control systems and frequency response
• Tools and techniques for LTI control system analysis
• Bode and Nyquist plots
• Root loci
• Routh-Hurwitz criterion
• Control system compensators

Communications
• Random signals and noise
• Probability Random Variables
• Probability Density Function
• Autocorrelation
• Power Spectral Density
• Analog communication systems
• Elements of hardware
• Signal-To-Noise Ratio (SNR)
• Calculations for Amplitude Modulation (AM)
• Calculations for Frequency Modulation (FM)
• Information theory
• Channel capacity theorem
• Digital communication systems
• Pulse Code Modulation (PCM)
• Differential Pulse Code Modulation (DPCM)
• Digital Modulation Schemes
• Amplitude Shift Keying
• Phase Shift Keying
• Frequency Shift Keying
• Basics of TDMA FDMA, CDMA, and GSM

Electro-magnetics
• Elements of vector calculus- Divergence, Curl
• Gauss and Stokes’ theorems
• Maxwell’s equations- Differential, Integral Forms
• Wave equation Poynting vector
• Plane waves
• Propagation through Various Media
• Reflection
• Refraction
• Phase and Group Velocity
• Skin Depth
• Transmission Lines
• Characteristic Impedance
• Impedance Transformation
• Smith Chart
• Impedance Matching
• S Parameters Pulse Excitation
• Waveguides
• Modes in Rectangular Waveguides
• Boundary Conditions
• Cut-Off Frequencies
• Dispersion Relations
• Basics of Propagation in Dielectric Waveguide and Optical Fibers
• Basics of Antennas
• Dipole Antennas
• Radiation Pattern
• Antenna Gain