Well some of the major topics are following:
Principles of Electronics Engineering
Basics of Electrical Engineering
Digital Electronics
Semiconductor Devices
Measuring Instruments and Measurements
Network Theory
Electromagnetic Field Theory
Signal Processing
VLSI Design
Microwave Engineering
Microprocessor and Microcontrollers
Antennas
Computer Networks
Control Theory
Intelligent Instruments
Communication Systems
and few more...
-cheers :)

Electronic engineering has many topics.
Some of them are:
Signal Processing
Telecommunications Engineering
Control Engineering
Instrumentation Engineering
Computer Engineering
Design engineering

Yes there is programming in it. There is digital circuits where programming is a part.

Good Luck!