University: Massachusetts Institute of Technology
Instructors: Prof. Martin Olsson
Course Number: 18.781
This course provides an elementary introduction to number theory with no algebraic prerequisites. Topics include primes, congruences, quadratic reciprocity, diophantine equations, irrational numbers, continued fractions and elliptic curves.
I will not assume any results from abstract algebra, and so there are no formal prerequisites beyond basic linear algebra and calculus. However, familiarity with reading, writing, and understanding proofs will be assumed.
The lecture notes are courtesy of one of the students, Anna Marie Bohmann. Used with permission.
8: Review for Midterm
9: Midterm 1
24: Midterm 2