Master's Degree in Fundamental and Discrete Mathematics

Explore the programs and courses offered by Master's Degree in Fundamental and Discrete Mathematics

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Program Overview

Specialty: Fundamental and Discrete Mathematics

Level: Master's

Field: Mathematics and Computer Science

Department: Mathematics

Specialization: Fundamental and Discrete Mathematics

1- Training Location Faculty: Faculty of Exact Sciences and Computer Science

Department: Mathematics

References for the accreditation order for the diploma to be prepared:

Order No. 1294 of 09/08/2016

2- Other Partners:

Partners from Algerian universities: University of Guelma, Larbi Ben M'hidi Oum El Bouaghi University, Mohamed Cherif Messaadia Souk Ahras University.

Foreign Partners: University of Istanbul, Türkiye - University of Mulhouse, France.

3- General organization of the program:

The positioning of the Academic Master's (LMD) > Doctorate in Mathematics project.

4- Program content and context:

- The context of this program is embedded in numerous practical applications, such as algorithm design and analysis, communication network planning, computer system security, and database design and project management.

- Consequently, these applications are very important in many fields, including computer science, communications, life sciences, and economics.

5- Program objectives:

-         Training of mathematics teacher-researchers.

-         Providing a solid grounding in mathematics that ensures students in this specialty have the opportunity to conduct research projects in preparation for their doctoral degree.

-         Develop mathematical tools for analyzing, modeling, and solving problems in fields such as computer science, network theory, cryptography, coding theory, combinatorics, graph theory, and many others.

-         Discrete mathematics has many practical applications, such as algorithm design and analysis, communication network planning, computer system security, database design, and project management.

-         The goals of pure mathematics (Algebra, Topology, and Number Theory) are to develop a deep understanding of fundamental mathematical concepts and to study their abstract properties.

6- Skills Targeted by the Program: This Master's program aims to train doctoral students in fundamental mathematics in the fields of algebra and discrete mathematics and their applications (number theory, symbol theory, algorithm design and analysis, communication network planning, etc.).

7- Job Opportunities:

- Pursuing studies toward a doctorate in several specializations, including those related to information technology and others.

- Working in the higher education and scientific research sectors.

- Working in research centers.

- Working in the teaching field in national educational institutions, particularly secondary schools.

- Teaching pure and applied mathematics.

Teaching Language : French- English

Curriculum Highlights

Core Courses

This program is divided into four semesters:

First Semester:

- Algebraic Topology 1

- Commutative Algebra 1

- Arithmetic 1

- Introduction to Difference Equations

- Introduction to the Theory of Analytic Functions

- Scientific English

- Linear Programming

 

Second Semester:

- Algebraic Topology 2

- Commutative Algebra 2

- Arithmetic 2

- Number Theory 1

- Symmetric Functions and Maple

- Scientific English

- Coding Theory 1

 

Third Semester:

- Braid Group Theory

- Commutative Algebra 3

- Number Theory 2

- Topology of Function Space

- Writing in Latex

- Coding Theory 2

- Legislation and Work Ethics

 

Fourth Semester :

End-of-study dissertation.


Advanced Topics

This course covers the following areas:


1. Pure mathematics such as algebraic topology, commutative algebra, and function space topology, which aims to develop a deep understanding of basic mathematical concepts and study their abstract properties.


2. Discrete and applied mathematics such as number theory, arithmetic, symmetric functions, and coding theory allow for numerous practical applications, such as algorithm design and analysis, communication network planning, and computer system security.


3. Some auxiliary tools are also used, such as linear programming, Maple, Latex and scientific English.


Admissions Information

This Master's program is a continuation of the Bachelor's degree in Academic Mathematics currently taught at Mohamed Seddik Ben Yahia University.

It is open to all students holding:


- LMD Diploma in Mathematics


- Classical Bachelor's Degree in Mathematics


- For holders of a DES (Degree of Advanced Studies) certificate


- Other equivalent higher education diplomas.


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