# Theory of mathematics from secondary to first courses of technical careers

## Syllabus

1. Algebra
It is the part of mathematics that uses letters and other symbols to represent numbers and quantities in formulas and equations. This block is about equations, polynomials, vectors, matrices and more.
2. Applied Mathematics
It studies methods and mathematical tools that can be useful in other areas, such as engineering or economics. You will learn about interpolation, a necessary concept for computing, and financial mathematics with some basic economic concepts.
3. Calculus and Analysis
It is one of the main branches of mathematics. First you study real numbers, functions and limits from which you then can develop the study of other concepts such as continuity, derivation or integration.
4. Discrete Mathematics
It is the basis of everything related with natural numbers or countable sets, and studies countable processes.You will find the concept of factorial and combinatorial number, required to study variations, permutations and combinations.
5. Foundations of Mathematics
It is the study of basic mathematical concepts and the fundamental complex structures that they form. In this block you will study the definition of a set and the operations and properties derived from it, the set of numbers and finally you will be introduced to intervals.
6. Geometry
It is the part of mathematics that displays and studies plane and solid shapes. You will learn to calculate perimeters, areas and volumes of the most important shapes.
7. Number theory
It is the branch of mathematics that studies the properties of numbers. In this block you will find everything from natural, integer, decimal to real numbers, as well as two basic concepts such as divisibility and proportionality.
8. Probability and Statistics
Statistics allow us to analyze the data we obtain from a sample that is representative and thus let us explain behaviors and decisions. Probability measures the likelihood of an occurrence. You will learn the basic concepts of these two disciplines.
9. Recreational Mathematics
It is the part of mathematics that applies mathematical knowledge in a playful way. Escape methodical practices and trust your logic. In this section you can encrypt and decrypt encoded messages and play with "phantom sums".