
Academic Year:  2012/3 
Owning Department/School:  Department of Mathematical Sciences 
Credits:  6 
Level:  Masters UG & PG (FHEQ level 7) 
Period: 
Semester 1 
Assessment:  EX 100% 
Supplementary Assessment:  Mandatory extra work (where allowed by programme regulations) 
Requisites:  Before taking this unit you must take MA20217 
Description:  NB. This unit is only available in academic years starting in an even year. Aims: To introduce the students to some of the main ideas of modern number theory. Learning Outcomes: After taking this unit, students will be able to solve problems involving elementary number theory and to demonstrate understanding in a range of more advanced topics in number theory. Skills: Numeracy T/F A Problem Solving T/F A Written and Spoken Communication F (in tutorials). Content: Elementary number theory: congruences, Chinese Remainder Theorem, Euler phi function, Mobius inversion, quadratic residues. The quadratic reciprocity theorem. Further topics to be taken from: quadratic fields, Pells's equation, quadratic forms, cyclotomic fields, rings of integers, failure of unique factorization, padic numbers, Hasse principle. 
Programme availability: 
MA40238 is Optional on the following programmes:Department of Computer Science
