Becoming a master from a newbie at Computer Science and Electronics I want to learn about Computers and Electronics and presently don't hold any kind of degree in the same. My urge to learn is entirely driven by my interest and curiosity for these subjects. I will be teaching my self at my own pace using materials available online.

But being a newbie to all this, and as these fields are very broad, I find it difficult to find where to start. I would like to do everything systematically and not just randomly picking up stuff, because all it does is to create loopholes and confusions. I would like to gain some insight regarding the same from your past experiences at learning.

So my only question is, from where should I start my learning process i.e. a kind of topic list which I must follow? For instance, what do university programs teach, in what order, and why do they prioritize the way they do?
I am glad to see your question, because 40 years ago, I was a child who was extremely interested in electronics, radio and computers, and the resources seemed much more limited then. 

I would say, because the field is so broad, it does not matter where you start. Pick something that interests you and go as far as you can with it. My first interest was in building an amplifier to use with a microphone so I could make loud noises (your personal goal does not have to make sense to anyone else) so I read books about transistor amplifiers in hopes of finding a simple design.

My suggeztions are:  


Find an Amateur Radio group and participate  
build some simple kits  
write some simple programs  
use the relevant Stack Exchange sites  
choose some specific goals or projects  
"Nevah, nevah, nevah give up!" (Winston Churchill)  


Don't worry if you don't get to your specific goals - I never built that amplifier - you will learn so much on the way, and become a specialist in something. I eventually became an expert in small transmitting loop antennas, C and data communications. Qapla'!