The Algebra 1 course is an essential first-year module for students in Mathematical and Scientific disciplines. It introduces fundamental algebraic structures and reasoning tools that serve as a foundation for higher studies in mathematics, computer science, physics, and engineering. The course is divided into two main chapters:
🔹 Chapter 1: Logic, Sets, Relations, and Applications
This chapter develops formal reasoning skills through the study of propositional logic, quantifiers, and proof techniques. Students explore basic set theory (operations, Venn diagrams, Cartesian products), analyze relations (equivalence, order), and study the formal structure and properties of functions (injectivity, surjectivity, bijectivity). This builds a rigorous foundation for understanding abstract structures.
🔹 Chapter 2: Complex Numbers
This chapter extends the real number system to the complex field 𝐶 C, enabling students to solve equations such as 𝑥^2 + 1 = 0. Topics include algebraic and geometric representations of complex numbers, polar and exponential forms, the modulus and argument, conjugation, De Moivre’s Theorem, and the computation of powers and roots. The chapter also connects these tools to the resolution of equations and geometric interpretation.
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