MATH3080 - Number Theory - 2019/20

Course Name: 
Number Theory
Teacher: 
Dr. Charles Chun Che LI
Course Year: 
2019/20
Term: 
1

Announcement

General Information

Lecturer

  • LI, Charles
    • Office: 218
    • Email:

Teaching Assistant

  • Ng Ming Ho
    • Office: LSB228
    • Email:

Time and Venue

  • Lecture: Tue 10:30-12:15, Y.C Liang Hall 103, Wed 2:30-3:15 LSB LT4
  • Tutorial: Wed 3:30-4:15 LSB LT4

Course Description

  • 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, cryptocurrency
  • Primitive roots and indexes
  • The quadratic reciprocity law
  • Quadratic forms
  • (if time allowed) Number-theoretic functions.
  • (if time allowed) continued fraction, elliptic curve


Textbooks

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

References

  • Niven, Zuckermen, Montgomery, An Introduction to the Theory of Numbers 5th Edition

Lecture Notes


Assignments


Assessment Scheme

Tutorial Classwork, max 10pts. Classworks will be given during tutorial. Each classwork counts 1pt. There are about 12-13 tutorals and you need to attend at least 10 of the tutorials. 10%
Mid Oct 22 Tue During Lecture 30%
Final 60%
Please check the new assessment scheme %

Assessment Policy

Last updated: December 07, 2019 13:06:55