Number Theory II

This week, we'll continue discussing topics related to Number Theory, diving deep into Modular Arithmetic and solving Linear Congruences.

Readings

Chapter 2.3 Chapter 4 Chapter 5 Chapter 8.5

By the end of the week, you should be able to:

  • Identify problems that may be related to modular arithmetic.
  • Solve one-variable linear congruences.
  • Solve simple multi-variable linear congruences.
  • Apply the Euclidean Algorithm and the Extended Euclidean Algorithm.
  • Remember useful theorems regarding modular arithmetic and prime numbers.