### Certificate in computer science and mathematics

Computer science and Mathematics is the scientific and practical approach to computation and its applications. It is the systematic study of the feasibility, structure, expression, and mechanization of the methodical procedures (or algorithms) that underlie the acquisition, representation, processing, storage, communication of, and access to information. An alternate, more succinct definition of computer science is the study of automating algorithmic processes that scale.

Math is one of the foundations of computer sciences. It’s also one of the more crucial elements in computer sciences. So how is mathematics really applied in computer science? Despite advanced mathematics not applied frequently, basic mathematics, most importantly algebra, is the main ingredient for a successful computer scientist.

Many of the functions and operators in all programming languages require some knowledge in mathematics. For example, these operators include arithmetic, comparison, logical, assignment and conditional operators. All of the aforementioned tasks need mathematics for them to be used and properly applied, specially the arithmetic and conditional operators.

Computer sciences heavily rely on algorithms, which the latter in turn heavily relies on mathematics. ‘Theoretical computer science’ strongly involves discrete mathematics. Discrete mathematics is basically the study of mathematical structures that are discrete rather than continuous, and so this ‘theoretical’ branch of computer sciences involves a lot of mathematics, in the form of graphs, algorithms, computational geometry, quantum computation, algebra, computational number theory. In fact, the use of mathematics in computer sciences depends on the latter’s department. A beginner in programming may not need mathematics, but as the programmer advances through the level of difficulty, he / she will have to use more advanced mathematics.

A computer scientist specializes in the theory of computation and the design of computational systems.

Its fields can be divided into a variety of theoretical and practical disciplines. Some fields, such as computational complexity theory (which explores the fundamental properties of computational and intractable problems), are highly abstract, while fields such as computer graphics emphasize real-world visual applications. Still other fields focus on challenges in implementing computation. For example, programming language theory considers various approaches to the description of computation, while the study of computer programming itself investigates various aspects of the use of programming language and complex systems. Human–computer interaction considers the challenges in making computers and computations useful, usable, and universally accessible to humans.