Instructors: Avi Kulkarni
Course on canvas.dartmouth.edu.⇗
Syllabus
Course Summary: Date Details Tue Sep 13, 2022 0: Introduction Thu Sep 15, 2022 1.1-1.2: Division Algorithm and GCD Fri Sep 16, 2022 Midterm 0 Tue Sep 20, 2022 2.1-2.2: Primes Thu Sep 22, 2022 1.2-1.4: The Extended Euclidian Algorithm and Applications Fri Sep 23, 2022 X-hour: Sage installation workshop Tue Sep 27, 2022 3.1-3.3: Congruences Thu Sep 29, 2022 4.1-4.3: The integers mod p Tue Oct 4, 2022 Mini Abstract Algebra: Groups, Rings, and Fields Thu Oct 6, 2022 5.1-5.2, 6.1: Units and Euler's phi function Tue Oct 11, 2022 6.1-6.4: Multiplicative groups of residue rings Thu Oct 13, 2022 6.5-6.7: Existence of Primitive Roots, and return of the Chinese Remainder Theorem Fri Oct 14, 2022 Midterm 1 Tue Oct 18, 2022 Abstract Problem Solving Skills Thu Oct 20, 2022 Cryptography Fri Oct 21, 2022 Day of Caring. X-hour is cancelled. Tue Oct 25, 2022 Abstract Problem Solving II Thu Oct 27, 2022 7.3: Quadratic Reciprocity Tue Nov 1, 2022 Abstract Problem Solving III Wed Nov 2, 2022 Extra office hour #1 Thu Nov 3, 2022 7.4-7.6: More Quadratic Reciprocity Extra office hour #2 Fri Nov 4, 2022 X-hour: Midterm 1 (return of the midterm) Tue Nov 8, 2022 Abstract Problem Solving IV Thu Nov 10, 2022 Exploration topics I: Analogies between ZZ and Fp[x] Tue Nov 15, 2022 Last day Sun Nov 20, 2022 Final Exam