In
Algebra 1, we will learn the foundations of mathematics, where we will
consolidate and correct some of the concepts that the student has
acquired in his/her high school career. The student will also learn some
math tools and tricks to solve equations and make mathematical proofs.
In the first chapter, the student will be introduced to mathematical
logic and mathematical proof methods, where he will gain confidence and
ability to prove the truth and falsehood of statements, as well as
familiarize himself with some logical tools and operators as well as
with methods of using them. In the second chapter, the student will gain
a new understanding of set theory, as he will realize that concepts in
mathematics can be treated as sets. He will also apply what he learned
in the first chapter to sets, and he will learn about the types of
relations between sets as well as applications in sets. In the third
chapter, We will discuss the set of complex numbers and their
different representations. The final chapter, entitled Vector Spaces,
plays a crucial role in linear algebra. In this chapter, students learn
to work with linear equations in a systematic way and are introduced to
the concept of linear applications (linear transformations).
- Dr.: Abdelmadjid Djehiche