By the way, in my experience, graduate program in computer science is not for web page development as a software development but it is more on INDEPTH knowledge of advanced algorithm design, operating system principles, computer architectre, descrete and concrete mathmatics, compiler design, software engineerng principles, database system design and so on. 

Problems involving in graduate program of computer science can be as challanging as something like the following. Finding an algorithm to generate a prime number in polynominal time ( solved by two MIT students after 50 years of research)