Ce  cours est une introduction à  la théorie  des  disributions et ses divers applications à la théorie des  équations aux dérivées partielles  avec  des exemples et dess exercices  corrigés.


Abstract.
My current Lecture-Notes is intended especially for students of mathematics and computer science at the university. This is the course of English I and II that I taught at University of 08 Mai 1945 Guelma for both Master and PHD students of the first year. Of course, we state phrases used in pure mathematics and number theory as well as applied mathematics. Some basic mathematical arguments and the correct pronunciation of certain mathematical expressions are also discussed. Before launching to this, we have to look at the topic of phonetic symbols and grammar series.

Acknowledgments.
We thank all my teachers: Profs. Nadir Trabelsi and Abdelkrim Keraghel at University of Ferhat Abbas Setif for giving me the desire to learn English with phonetic symbols. I am delighted to thank, infinitely often, Professor Abdelatif Bencherif Madani because he taught us the module of English very well in the fourth year DES 2000-2001 at University of Ferhat Abbas, and gave us the necessary pronunciation concepts with grammar series and Mathematical expressions. We also thank my nearest colleagues Dr. Abderafik Benrabeh and Dr. Azzedine Kheniche at University of 08 Mai 1945 Guelma for discussing on the language and for their interest with English pronunciation.