|Artificial intelligence can also be considered as anything which is smarter than the person sitting in front of the computer.|
Not necessarily, otherwise Artificial Intelligence would be as common as chips, as it is it is a common as common scene.
Read up on the Turing Test, first proposed by Alan Turing in 1950. To date no computer has passed the test. Some have come close but you can be sure they were programmed with something a little more complex that batch files.
Computers can solve complex mathematical equations in the blink of an eye, with one or two exceptions, far quicker than any human can. Does that make such computers smarter than humans?