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If you are good in Mathematics than you can easily became a programmer. My Programming Teacher always says one thing :
"Programming is a lot like counting. Somebody who is not capable of performing it becomes desperate while trying for this. Somebody who is capable of doing it cannot understand, how anybody may have difficulties with the item."
If you are best in Maths you will take a complete interest in Programming. For them it will not be hard to become a programmer.
Its all based on how passionate you are about programming.
Yes in reality. Read: http://norvig.com/21-days.html
Strong Math is a good point , because u understand the complicity very easily and according to that u will write the complex thing in a simple program , u should know what u r doing and what is the output u get ,so in that case u google the write option and get the desired result
No , not exactly, everything needs patience and continuity but it isn't hard.
Depends on basic knowledge and intellect.
No, but it require practice. More you practice more you become expert in programming.