MA 315                             GAlOIS THEORY                                 JAN -- APRIL 2013

Professor D. P. Patil
E-mails :

 This course is open to all students/faculty who are interested in learning the basics of  Galois Theory. The main aims of this Course are to make students think, stimulate them into active learning and show them the excitement of doing mathematics on their own, enthuse them into learning more advanced topics with confidence, assist them to realize their potential, nurture their Mathematical talent and appreciate the deep effects on the application world.

Special efforts will be made to encourage the participants to ask questions, raise doubts and seek clarifications in the class-room. The emphasis will be given to motivate the development of important concepts using as many examples as possible. These examples will range from routine to fairly sophisticated theoretical ones.

Efforts will be made to keep the required prerequisites as low as possible. Some exposure to Linear Algebra/Algebra will be helpful.

Starting with a short recapitulation of the basic facts of Groups, Rings and Fields (with proofs), some classical as well as modern material will be covered. The focus of the lectures will be on examples and constructions of Galois extensions and on methods to compute Galois groups.

Time Table 

Day Time 
Monday 11:00 -- 12:30 
Department of Mathematics,  Lecture Hall I 
Wednesday 11:00 -- 12:30 
 Department of Mathematics,  Lecture Hall I