MMAT5110 - Topics in Number Theory - 2014/15

Course Name: 
Topics in Number Theory
Teacher: 
Dr. Charles Chun Che LI
Course Year: 
2014/15
Term: 
2

Announcement

  • Past HW solution: contains the textbook exercies and most of the solutions from the textbook
  • Review notes and sample questions are posted.
  • HW5 has been posted, it is due on April 13 [Download file]
  • Final review [Download file]
  • Final review printable version (same as the above version) [Download file]
  • Final sample (extra exercises) [Download file]

General Information

Lecturer

  • Charles Li
    • Office: LSB218
    • Tel: 3943-7974
    • Email:

Teaching Assistant

  • Dai Lipeng
    • Office: LSB 222C
    • Tel: 3943 8570
    • Email:

Time and Venue

  • Lecture: Wu Ho Man Yuen Bldg 408 Mon 6:30 - 9:30

Course Description

Introduction to basic number theory. Topics include: Divisibility of integers, the division algorithm, gcd, the Euclidean algorithm The fundamental theorem of arithmetic, primes, factorization. modular arithmetic, Fermat's little theorem, Euler's theorem, Euler-phi function, Wilson's theorem, Fermat's theorem of sum of squares. Fast modular exponentiation algorithm, primality test, pseudoprimes. Basic cryptography


Textbooks

  • Burton, Elementary Number Theory, 7th edition, Mcgraw-Hill international edition

References

  • Niven, Zuckerman, Montgomery, An Introduction to the theory of numbers, 5th edition

Lecture Notes


Assignments


Quizzes and Exams


Solutions


Assessment Scheme

CW+HW  20%
Midterm, Mar 2 Monday usual lecture time 30%
Final, April 20 Monday usual lecture time  50%

Last updated: April 21, 2015 20:00:45