Abstract:

In our daily life we all carry out a series of actions according to a clearly defined way of solving various problems. The total of these actions is called an algorithm. Depending on the things we do to solve a specific problem, the algorithms can be logical or numeric. The first are the logical conclusions of our experiences, our actions are repeated continuously until they are imprinted into our consciousness, and we use them as readily available.

They are also the beginnings of a reasoning that , as years go on, opens the way for the creation of numerical algorithms that are widely used in school mathematics and beyond in computer science.

In this paper, we will discuss what algorithms are and how many places they occupy in the undergraduate mathematics education, how often we encounter algorithmic elements in our textbooks, ranging from simple logical ones up to the linear, branched, or cyclic ones, depending on the way actions are organized.

Keywords:

Logical algorithm, mathematical algorithm, linear algorithm, branched algorithm, cyclic algorithm.