Number Theory (FA20)

Course Info:


Course Catalogue Description:

The great mathematician C. F. Gauss once wrote "Mathematics is the queen of sciences and number theory is the queen of mathematics." Number theory is that part of mathematics dealing with the integers and certain natural generalizations. Topics include modular arithmetic, unique factorization into primes, linear Diophantine equations, and Fermat's Little Theorem. Discretionary topics may include cryptography, primality testing, partition functions, multiplicative functions, the law of quadratic reciprocity, historically interesting problems.


Learning Outcomes:

By the end of this course, you should be able to:

  1. Understand of the basic structures of number theory: define terms, explain their significance, and apply them in context;
  2. Solve mathematical problems: utilize abstraction and think creatively; 
  3. Write clear mathematical proofs: recognize and construct mathematically rigorous arguments; and
  4. Modify and write programs in Python: solve cryptographic problems. 


Additional Pages:

  1. Academic Honor Principle
  2. Expectations
  3. Grading
  4. Written Homework
  5. Daily Homework
  6. Consent to Record
  7. Student Accessibility Needs
  8. Mental Health
  9. Title IX
  10. Religious Observances
  11. Additional Support for your Learning


Course Summary:

Date Details Due