Instructor: Shaoyun Yi

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

Location: Room 104 at Teaching Building

Email: yishaoyun926@xmu.edu.cn

Office: B515

Office Hours: By appointment

No.	Date	Day	Topics	Homework	HW Due	Quiz
1	9/2	M	Division, Euclidean Algorithm	HW 1	9/9 (M)
2	9/9	M	Prime, Fundamental Theorem of Arithmetic	HW 2	9/14 (Sa)
3	9/14	Sa	Gaussian Function, The Equation of Degree One	HW 3	9/23 (M)
4	9/23	M	Pythagorean Theorem, The Method of Infinite Descent, Fermat's Last Theorem	HW 4	9/30 (M)
5	9/30	M	Congruence, Complete Residue System	HW 5	10/12 (Sa)
6	10/12	Sa	Reduced Residue System, Euler's Theorem	HW 6	10/21 (M)
7	10/14	M	Linear Congruences, Chinese Remainder Theorem	HW 7	10/28 (M)	Quiz 1 @ 10/14 (M)
8	10/21	M	Congruence Equations of Higher Degree	HW 8	11/4 (M)
9	10/28	M	Quadratic Congruence Equations, Square Residue and Square Non-Residue	HW 9	11/11 (M)
10	11/4	M	Legendre Symbol and Jacobi Symbol	HW 10	11/18 (M)
11	11/11	M	Quadratic Residues for Arbitrary Moduli, Order	HW 11	11/25 (M)
12	11/18	M	Primitive Roots, Index			Quiz 2 @ 11/18 (M)
13	11/25	M	n-th Residual, Presentations (Bonus projects)	HW 12	12/9 (M)
14	12/2	M	Index for Arbitrary Moduli, Dirichlet Characters, Presentations (Bonus projects)	HW 13	12/23 (M)
15	12/9	M	Some Topics in Number Theory 1, Presentations (Bonus projects)	HW 13	12/23 (M)
16	12/16	M	Some Topics in Number Theory 2, Presentations (Bonus projects)	HW 13	12/23 (M)
17	12/23	M	Review, Presentations (Bonus projects)	Bonus projects: Write up (LaTex PDF)   due 12/31 (T)
	1/7	T	Final Exam (8:00-10:00) @ Teaching Building Room TBC