2008 Summer school
                                                    OPENING SESSIONS
The School started July, 26th. A large number of students, including post-graduate students and teachers in high schools, attended the first-day lectures. The first two courses were delivered by:

• Ismail Djebali: First courses on Analysis and Algebra intended to first-year University students.
• Abdelghani Zeghib: Some lectures on geometric curves for second-year University students.

Since S. Djebali only delivered courses during the first week 26-30, July, Professors Abbdelwahab Mansour (Analysis) and Hamza Khelif (Algebra) continued delivering courses during the following two weeks for first-year University students. Further details may be found below.

                                                       PARTCIPANTS

Most of participants belong to either one of the following classes:
• Students from C.U.E.O. These are mainly students graduating in Mathematics or Physics Bachelor and willing to improve and enhance their knowledge (over 30 students).
• Students from C.U.E.O. who are especially involved in the preparation of September exams (around 40 students).
• Post-Graduate Students and even high-school Mathematics teachers (5 to 8 people).

Regarding the participation of students and their assiduity, lectures’ comments can be found below.

                                                   OTHER ACTIVITIES

• During tea-breaks, lecturers and students have enlivened scientific conversations on Master studies in Algeria as well as on the scientific research in Mathematics and Physics in general.
• Students from ELK bureau and founding members of this association have met three times to discuss future activities of ELK including the preparation of its web site and have share suggestions and propositions.
• Meeting with local authorities:
- Meeting with Wali (Governor) of El-Oued City.
- Meeting with head and deputy-heads of C.U.E.O. (University Center of El-Oued).
- Meeting with some newly elected members of El-Oued A.P.C. (local council), including the Mayor.
- Meeting with members of another local cultural association: Al Amine Al Amoudi Association.
• Meeting with Olympiad Competition winners. Indeed, these students need a particular attention from C.U.E.O. teachers who should use every endeavor to follow their progression within the university.
• Visit of Ammouri Coranic School in Taksebt, El-Oued.

                                                 MEDIA COVERAGE

This first Summer School event has benefited from an exceptional and large coverage by local  Radio Channel. Some of lecturers were interviewed while some students have expressed their opinions on the school organization and its impacts on their scientific and cultural activities in El-Oued City and in C.U.E.O.

                                     SCIENTIFIC POGRAM OF THE SCHOOL

1. Analysis and Algebra:
 A first year course delivered by Ismail Djebali, E.N.S.-Kouba (Algiers).
Content: Overview of the official curricula in Analysis and Algebra through solving problems from exam subjects proposed in E.N.S.-Kouba during the period 1992-2002.
However, morning sessions always start with a short reminder of the main tools needed to master specific topics and to fill up gaps. Ten short textbooks with a large number of exam problems have been given by  Djebali to  A. Mansour, head of the Institute of Exact Sciences and Technology in C.U.E.O. who made copies for students to help them preparing for September final (and decisive) exams.
2. Curves: This second-year course was delivered by Abdelghani Zeghib, E.N.S., Lyon (France)
Content:
Introduction to the theory of curves in metric spaces. The lectures were focused on metric spaces where the distance between two points is defined to be the length of the arc joining these points. This notion allowed the lecturer to introduce participants to the notion of Riemann spaces, of great importance in Geometry.

3. Algebra: This is a follow-up of the first-year course given S. Djebali.  Hamza Khelif (C.U.E.O.) has dealt with the following topics :
Properties of set maps ; relations of order and equivalence ; partition ; canonical decomposition; isomorphism between two algebraic structures; groups and sub-groups; isomorphism between independent vector families; independent families; bases; matrices associated with isomorphism; matrix of passage.
For each course, a remainder of the main tools has been given and all of these notions have been illustrated by means of examples of applications.

4. Analysis: this second-year course was delivered by Pr Abdelwahab Mansour, C.U.E.O.
Content:
Introduction to differential equations; first-order differential equations; second-order differential equations with constant coefficients.

5. Introduction to the geometry of surfaces: this second-year course was delivered by Pr Mohammed Guediri, King Saud University, Ryad (Saudi Arabia).
Content:
-Definition of a surface; examples ; tangent planes (4 hours)
-First and second fundamental forms; Weingarten operator; principal curvature; mean curvature; Gauss curvature; minimal surfaces (06 hours).

6. Complex Analysis: this second-year course was delivered by Pr Mohammed-Larbi Labbi, University of Bahrain (Bahrain).
Content:
-History of complex numbers
-Transformations of the complex plane; Euclidian Geometry
-Geometry according to F. Klein (Erlangen Program)
-Transformations preserving distances
- The three-reflection theorem
-Transformations preserving distance ratios
-Holomorphic applications
-Transformations preserving angles.
-Mobius transformations and introduction to non-Euclidean geometry .

7. Differential Calculus: this second-year course was delivered by Pr Khaled Saâdallah, E.N.S.-Kouba (Algiers).
Content:
-Introduction to normed vector spaces (4 hours)
-Definitions and main properties of first-order differentiation with examples and solved exercises (6 hours)

                                                 SCHOOL CLOSING SESSION

 The closing ceremony took place at the Youth Center of El-Oued on August, 13th from 09:30 to 11:30. A Public lecture was presented by Djamel Dou, from C.U.E.O. and K.S.U., Riyadh (Saudi Arabia); the lecture was entitled « Our view to the world in the shade of modern physics»; the lecture was followed by a 15-minute debate. Then, some of the school organizers had their turn to speak; the closing ceremony ended with the distribution of acknowledgment certificates to lecturers and certificates of participation to students who attended the entire school.



                                                    ACKNOWLEDGMENTS

The organizers of this Summer School are particularly thankful and indebted to the following members who were not initially involved in the organizing committee but who provided great help:
Larabi Heriez : He set up and prepared the certificates of participation; he also contributed in the success of the tea-break.
Rachid Lakhdir: He played a central role as a permanent contact person between the school organizers and the local radio channel.
Anouar Elaîb: Through his personal  plog “souf info” (http://soufinfo.maktoobblog.com) he covered the different activities of the association during  the school. He contributed in arranging meetings with local authorities; the latter meetings and work sessions were concluded with a dinner offered by Mayor of El-Oued city.

        THE ASSOCIATION ACTIVITIES

        THE SITE

        LINKS