📘 Course Description

Number theory is one of the oldest and most beautiful areas of mathematics.
It studies the properties of integers and reveals deep structures hidden within simple numerical patterns.

This course develops the classical theory of numbers — divisibility, prime numbers, modular arithmetic, and quadratic residues — and culminates in modern applications to cryptography.

🎯 By the end of the course, students will understand:

• The structure of the integers
  
  

• The Fundamental Theorem of Arithmetic
  
  

• Modular arithmetic and congruences
  
  

• Fermat’s and Euler’s Theorems
  
  

• Quadratic Reciprocity
  
  

• The mathematical foundation of RSA cryptography
  
  

📚 Course Information

📖 Textbooks (Recommended)

• David M. Burton, Elementary Number Theory
  
  

• Ivan Niven, Herbert Zuckerman, Hugh Montgomery, An Introduction to the Theory of Numbers
  
  

• Joseph H. Silverman, A Friendly Introduction to Number Theory
  
  

📊 Grading Scheme

• Assignments: 20%
  
  

• Midterm Exam: 20%
  
  

• Final Exam: 40%
  
  

• Quizzes: 20%
  
  

📖 Lecture Notes

Lecture notes will be updated soon.

📝 Quizzes

• Quiz 1
  
  

• Quiz 2