Algebra 1 : Mathematical logic , Set theory ,Mappings ,Binary relations , Algebraic structures , Polynomial rings
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Date
2025
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Publisher
Faculty of Sciences
Abstract
This course is designed primarily for first-year students in Mathematics and Computer Science under the LMD system.
The primary goal is to develop a fundamental understanding
and skills necessary for working with mathematical expressions, equations, and functions.
This comprehensive course provides a solid foundation in key mathematical concepts,
covering logic, set theory, binary relations, mappings, algebraic structures, and rings of polynomials.
It starts with Chapter 1: Logic Concepts, where students learn
about logical operators, quantifiers, and proof methods.
Chapter 2: Sets introduces set theory, including set operations and
applications. Chapter 3 : Binary Relations explores
reflexive, symmetric, transitive, and equivalence relations. Chapter 4: Mappings delves
into injective, surjective, and bijective functions. Chapter 5: Algebraic Structures covers groups, rings, and fields, while
Chapter 6: Rings of Polynomials focuses on the structure
and applications of polynomial rings, particularly in algebraic geometry. This progression equips students with the foundational knowledge
required for advanced mathematical
studies.