First Semester.
Target Audience: Engineering Students.
This course provides a foundational understanding of algebraic structures and concepts essential for advanced studies in mahematics. The topics covered include:
Chapter 1: Logic and Sets
- Propositional logic and logical connectives
- Quantifiers and proof techniques
- Set theory: operations, relations, and functions
- Cardinality and countability
Chapter 2: Complex Numbers
- Algebraic properties of complex numbers
- Polar form and Euler’s formula
- Roots of complex numbers.
Chapter 3: Vector Spaces and Linear Transformations
- Definitions and examples of vector spaces
- Subspaces, bases, and dimension
- Linear transformations and their properties.
- Enseignant: sbenoumhani Safia benoumhani