As you want to get the Tamil Nadu Common Entrance Test ECE stream syllabus so here is the information of the same for you:

Part I
Engineering Mathematics
• Applied Probability
• Calculus and Differential Equations
• Determinants and Matrices
• Functions of Complex Variables and Complex Integration
• Numerical Methods
• Transforms: Laplace Transform – Inverse transforms
• Vector Calculus

PART – II
Basic Engineering and Sciences
• Applied Mechanics
• Chemistry
• Civil Engineering
• Computers
• Electrical Engineering
• Material Science
• Mechanical Engineering
• Physics

Part III
Electronics and Communication Engineering

Circuit Analysis
• DC Circuit analysis
• Sinusoidal steady state analysis
• Thevenin’s and Norton’s equivalent circuits
• Transient and resonance in RLC circuits

Electronic Devices
• Diodes
• Bipolar Junction Transistors

Electronic Circuits
• Feed back amplifiers
• Large signal amplifiers
• Oscillators
• Power supplies
• Pulse shaping circuits
• Small signal amplifiers using BJT and FET devices

Digital Electronics
• Combinational circuits
• Logic gates
• Sequential circuits

Linear Integrated Circuits
• A/D and D/A converters
• Operational amplifiers and its applications
• PLL
• Voltage regulators

Measurements and Instrumentation
• Digital Instruments
• Display and Recording systems
• Transducers

Microprocessor and its applications:
• Microprocessors-8085 and 8086 architectures and interfaces
• Micro-controller and applications

Electromagnetic Fields
• Time varying Electric and Magnetic fields
• Static Electric and Magnetic fields
• Maxwell equations

EM waves and waveguides
• Rectangular and cylindrical waveguides
• Guided waves

Transmission Lines and Networks
• Impedance matching
• Transmission line equations
• Filters

Antennas and Propagation
• Arrays
• Propagation of radio waves
• Aperture antennas

Communication Theory and Systems
• Amplitude Modulation, Frequency Modulation and Pulse Modulation
• Multiplexing
• PCM, DM, ADM
• Sampling and Quantization

Microwave Engineering
• Microwave measurements
• Microwave tubes
• Passive components
• Semiconductor devices

Digital Communication
• Band pass signaling
• Base band signaling
• Error control coding
• Spread spectrum techniques

Computer Communication Networks
• Data link protocols
• Definition of layers
• End-End protocols
• Message routing technologies
• Network interconnection

Optical Communication
• Optical Fibers
• Optical transmitters and receivers

Signals and Systems
• Continuous time signals and systems
• Fourier Transform
• Discrete time signals and systems-DTFT, DFT, Z-Transform
• Laplace transform

Digital Signal Processing
• IIR and FIR filters
• Quantization effects
• Realization and implementation

Control Systems
• Transfer function
• Time and frequency response analysis
• Stability analysis
• State variable analysis