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If you want to design software that interacts with people, then you'll be designing processes that implement that interaction. A process is a sequence of steps that alter some part of the world. You model a process with an algorithm.
The richer the algorithms you can design, the richer the processes you can model in your interaction, and the richer the interaction will be. Ergo, you want to be able to design rich, complex algorithms that express interesting ideas. The language of algorithms in mathematics. For example, suppose you'd like to have some characters whose interactions involve something more than shooting each other.
Let's take an extremely simple interaction: Mary watches Tom do something to Joe. The niceness or nastiness of Tom's action is represented by the variable nice nasty. Mary's affection for Joe is represented by the variable affection [Mary] [Joe].
Can you devise an algorithm that will calculate the degree to which Mary's affection for Tom will be altered by his action toward Joe?
It really is quite trivial, if you can't come up with something good, perhaps you need to bolster your understanding of mathematics.
Hint: we're not talking high-powered math. The first year high school algebra is sufficient.

Computer science deals with the theoretical foundations of information and computation, together with practical techniques for the implementation and application of these foundations. Computer science is the scientific and practical approach to computation and its applications.
While in information technology, students will deal with the business and communication purpose technology. In this trade, you will have fewer amounts of calculation means less involvement of maths.
In short, the major difference is the CS guys solve the problem and the IT guys implements that solution. To be more precise, the CS guys build, design and develop computer, software and stuff and the IT guys use and troubleshoot those programmes, application, etc.