Math 250: Number Theory (Spring 2025)
An introduction to the theory of rational integers; divisibility, the unique factorization theorem; congruences, quadratic residues. Selections from the following topics: cryptology; Diophantine equations; asymptotic prime number estimates; continued fractions; algebraic integers.
Help hours
- My office hours in SMUD 401:
- Tuesday 9:15-10:45
- Wednesday 2:30-4:00
- Friday 1:30-2:30
Handouts
Links
- Boardwork notes from when I teach from a tablet.
- Zoom link for any online office hours, classes, etc.
Homework
- Gradescope instructions. Our course code is XGZ78R.
- Please fill out the course survey on Gradescope by Friday 1/31.
- Problem Set 1 (due Wednesday 2/5 at 10pm)
- Problem Set 2 (due Friday 2/14 at 10pm)
- Problem Set 3 (due Wednesday 2/19 at 10pm)
- Problem Set 4 (due Wednesday 2/26 at 10pm)
- Problem Set 5 (due Wednesday 3/5 at 10pm)
- Problem Set 6 (due Wednesday 3/12 at 10pm)
- Problem Set 7 (due Wednesday 3/26 at 10pm)
- Problem Set 8 (due Wednesday 4/2 at 10pm)
- Problem Set 9 (due Wednesday 4/9 at 10pm)
- Problem Set 10 (due Wednesday 4/23 at 10pm)
- Problem Set 11 (due Wednesday 4/30 at 10pm)
Exams
- Midterm 1: Friday 2/28, in class.
- Remember to make a one-page note-sheet (front and back)!
- The exam will cover all material in class up to Friday 2/21, and problem sets 1 through 4.
- Practice exam / compact version / Solutions
- Exam / Solutions
- Midterm 2: Friday 4/11, in class.
- Remember to make a one-page note-sheet (front and back)!
- The exam will cover all material in class from Monday 2/24 to Friday 4/4, and problem sets 5 through 9.
- Practice problems / Solutions
- Exam / Solutions
- Final Exam: Tuesday 5/13, 9am-noon in SCCE C101.
- Remember to make a one-page note-sheet (front and back)!
- The final exam will be cumulative, but will place larger emphasis on topics covered after the second midterm.