Mathematics 1

Course objectives

The course aims to prepare the student to be able to deal with real numbers and their properties, simplify fractions, find a solution to equations, inequalities, and roots of second-degree equations in different ways, and study complex numbers and their properties. It also aims to prepare the student to be able to deal with functions, their properties, how to draw them and their different types, and to learn about trigonometric functions, their properties, their drawing and relationships between them, matrices and how to use them in solving a system of equations.

Course terms

1 groups

2 Algebra of sets

3 The set of rational and irrational numbers

4 Real numbers, their properties, and simplifying fractions

5 roots

6 Algebraic expressions and operations on them

7 equations

8 Solve equations

9 Some functions, their properties, and how to draw them

10 matrices

11 Matrix algebra

12 Determinants

13 Cramer's rule