Doctoral Program in Mathematics

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Program Overview

Field: Mathematics and Computer Science (MI)

Program: Mathematics

Specialization 1: Partial Differential Equations (PDE)

Specialization 2: Ordinary Differential Equations (ODE)

Specialization 3: Operator Theory


The doctoral program in Mathematics aims to train researchers with a high level of scientific expertise in various areas of mathematical research. In particular, the program enables doctoral students to acquire strong skills in both pure and applied mathematics, with a focus on functional analysis, partial differential equations, and optimization.

This doctoral training, supervised by several professors, is built upon two main pillars. On the one hand, it is supported by the research activities of three laboratories:

• the Mathematical Analysis and Applications Laboratory at the University of Algiers 1,

• the Laboratory of Partial Differential Equations and History of Mathematics, and

• the Fixed Point Theory and Applications Laboratory at the National Higher School of Kouba.

On the other hand, the program benefits from partnerships with key stakeholders in the socio-economic sector, including the CREAD research center.

The collaboration with this research center enriches the program by offering doctoral students opportunities to apply their mathematical knowledge in real-world contexts, thereby anchoring academic research in concrete societal issues. This partnership promotes the development of innovative solutions to current economic challenges.

These collaborations allow doctoral students to explore the applications of mathematics across various sectors. Working closely with such partners gives them the opportunity to contribute to the development of advanced mathematical models aimed at solving specific problems encountered in diverse fields of application.


Teaching Language : French

Curriculum Highlights

Core Courses

Semester 1

  • Numerical Methods (30 hours)
  • Introduction to the Spectral Theory of Linear Operators (30 hours)
  • Study of Abstract Differential Equations (30 hours)
  • Fixed Point Theory and Applications (30 hours)
  • Nonlinear Elliptic Problem with LmL^{m}Lm Data (30 hours)
  • Stochastic Partial Differential Equations (P.D.E.) (30 hours)
  • Research Methodology Course (20 hours)
  • Introductory Course in Didactics and Pedagogy (20 hours)
  • Information and Communication Technologies (ICT) Course (20 hours)
  • Foreign Language Skills Enhancement Course (20 hours)


Semester 2

  • Introduction to Fractional Differential Equations (30 hours)
  • Analytic Function Spaces and Their Operators (30 hours)
  • Variational Methods and Applications (30 hours)
  • Nonlinear Parabolic Problem with LmL^{m}Lm Data (30 hours)
  • Semigroup Theory and Interpolation (30 hours)
  • Research Methodology Course (20 hours)
  • Introductory Course in Didactics and Pedagogy (20 hours)
  • Information and Communication Technologies (ICT) Course (20 hours)
  • Foreign Language Skills Enhancement Course (20 hours)


Advanced Topics

• Stochastic Partial Differential Equations (P.D.E.)

• Nonlinear Elliptic Problem with LmL^mLm Data

• Nonlinear Parabolic Problem with LmL^mLm Data

• Introduction to Fractional Differential Equations

• Analytic Function Spaces and Their Operators

• Variational Methods and Applications

• Semigroup Theory and Interpolation

• Introduction to the Spectral Theory of Linear Operators

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Admissions Information


• Admission is based on a competitive entrance examination (for Algerian students).

• Eligible academic background for participation in the entrance exam: all specializations within the Mathematics track.

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