Abstract:
In Mathematics 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, operators and 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 look in
detail at functions, their limits, differentiation, and continuity. In
the fourth chapter, he will apply what he learned in the previous
chapter to some famous functions. The final chapter will introduce us to
series expansion and Taylor series.
Prerequisites
The basic notions of mathematics in the final year of high school.
Contents
Chapter1: Methodes of mathematical reasoning.
Chapter 4: Applications on elementary functions
Chapter 5: Series expansion
Chapter 6: Linear algebra
