Instructor: Shaoyun Yi

Time: Monday (7:10-9:45 pm)

Location: Room 101 at Teaching Building

Email: yishaoyun926@xmu.edu.cn

Office: B515

Office Hours: Wednesday 3:30-5:30, Friday 3:30-5:30, or by appointment

No.	Date	Day	Topics	Homework	HW Due	Quiz
1	9/1	M	Division, Euclidean Algorithm	HW 1	9/8 (M)
2	9/8	M	Prime, Fundamental Theorem of Arithmetic	HW 2	9/15 (M)
3	9/15	M	Gaussian Function, The Equation of Degree One	HW 3	9/22 (M)
4	9/22	M	Pythagorean Theorem, The Method of Infinite Descent, Fermat's Last Theorem	HW 4	9/29 (M)
5	9/29	M	Congruence, Complete Residue System	HW 5	10/13 (M)
6	10/13	M	Reduced Residue System, Euler's Theorem	HW 6	10/20 (M)	Quiz 1 @ 10/13 (M)
7	10/20	M	Linear Congruences, Chinese Remainder Theorem	HW 7	10/27 (M)
8	10/27	M	Congruence Equations of Higher Degree	HW 8	11/3 (M)
9	11/3	M	Quadratic Congruence Equations, Square Residue and Square Non-Residue	HW 9	11/10 (M)
10	11/10	M	Legendre Symbol and Jacobi Symbol	HW 10	11/17 (M)	Quiz 2 @ 11/10 (M) [postpone]
11	11/17	M	Quadratic Residues for Arbitrary Moduli, Presentations (Bonus projects)	HW 11	12/1 (M)
12	11/24	M	Order, Primitive Roots I, Presentations (Bonus projects)			Quiz 2 @ 11/24 (M)
13	12/1	M	Primitive Roots II, Index, Presentations (Bonus projects)	HW 12	12/8 (M)
14	12/8	M	n-th Residual, Presentations (Bonus projects)
15	12/15	M	Index for Arbitrary Moduli, Presentations (Bonus projects)	HW 13	12/22 (M)
16	12/22	M	Dirichlet Characters, Review, Presentations (Bonus projects)	Bonus projects: Write up (LaTex PDF)   due 12/31 (W)
	12/31	W	Final Exam (8:00-10:00) @ Teaching Building Rooms 306, 307