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GATE 2019 syllabus for EC-

Engineering Mathematics

Linear Algebra

Calculus

Differential Equations

Vector Analysis

Networks, Signals and Systems

Network solution methods

Continuous-time signals

Electronic Devices

Energy bands in intrinsic and extrinsic silicon

Carrier transport current

Analog Circuits

Small signal equivalent circuits of diodes

Simple diode circuits

To know the detailed syllabus of  Electronics & Communication Engineering for GATE 2019, Kindly go through the folloiwnig Link-

https://engineering.careers360.com/articles/gate-syllabus-for-electronics-communication-engineering

All the best.