The objectives of the module Algebra 1:

• Develop an understanding of logical concepts: Students will learn about the fundamentals of logic, including propositions, logical connectives, truth tables, and the process of logical reasoning.

• Understand sets and set operations: Students will study sets, including set notation, types of sets, and how to perform operations on sets such as union, intersection, difference, and complement.

• Explore functions: Students will learn the definition of functions, including domain and range, types of functions (e.g., one-to-one, onto), function notation, and how to perform operations with functions like composition and inversion.

• Analyze binary relations: Students will explore the concept of binary relations, including properties such as reflexivity, symmetry, transitivity, and equivalence relations, as well as their applications.

• Investigate algebraic structures: Students will examine algebraic structures such as groups, rings, and fields, understanding their basic properties and how they are used in various mathematical contexts.

• Enhance problem-solving skills: Through practice with logical reasoning, set operations, functions, and algebraic structures, students will improve their ability to solve a wide range of mathematical problems.

• Strengthen mathematical reasoning and communication: Students will develop the ability to reason logically, communicate mathematical ideas clearly, and present solutions to problems in a structured and coherent manner.

This approach helps students gain a deeper understanding of the concepts while developing important skills for higher-level mathematics.