Instructor: Shaoyun Yi

Email: yishaoyun926@xmu.edu.cn

Office: 616

Office Hours: By appointment

Week No.	Date	Day	Topics	Homework	Due Date	Quiz
1	9/11	M	Division, Euclidean Algorithm	HW 1	9/18 (M)
2	9/18	M	Prime, Fundamental Theorem of Arithmetic	HW 2	9/25 (M)
3	9/25	M	Gaussian Function, The Equation of Degree One	HW 3	10/9 (M)
4	10/2	M	Mid-Autumn Festival, National Day
5	10/9	M	Pythagorean Theorem, The Method of Infinite Descent, Fermat's Last Theorem			Quiz 1 @ 10/16 (M)
6	10/16	M	Congruence, Complete Residue System	HW 4	10/23 (M)
7	10/23	M	Reduced Residue System, Euler's Theorem	HW 5	10/30 (M)
8	10/30	M	Linear Congruences, Chinese Remainder Theorem	HW 6	11/6 (M)
9	11/6	M	Congruence Equations of Higher Degree	HW 7	11/13 (M)	Quiz 2 @ 11/13 (M)
10	11/13	M	Quadratic Congruence Equations, Square Residue and Square Non-Residue	HW 8	11/20 (M)
11	11/20	M	Legendre Symbol and Jacobi Symbol	HW 9	11/27 (M)
12	11/27	M	Quadratic Residues for Arbitrary Moduli, Order	HW 10	12/4 (M)
13	12/4	M	Primitive Roots, Index	HW 11	12/18 (M)	Quiz 3 @ 12/11 (M)
14	12/11	M	n-th Residual, Presentations (Bonus projects) part I
15	12/18	M	Index for Arbitrary Moduli, Dirichlet Characters, Presentations (Bonus projects) part II	HW 12	12/25 (M)
16	12/25	M	Review, Presentations (Bonus projects) part III	Bonus projects: Write up (PDF)   due 12/31 (Su)
18	1/10	W	Final Exam (8:00-10:00) @ Teaching Building 204