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: Monday 3:00-5:00 pm, or by appointment

No.	Date	Day	Topics	Homework	HW Due	Quiz
1	9/7	M	Division, and Euclidean Algorithm	HW 1	9/14 (M)
2	9/14	M	Primes, and Fundamental Theorem of Arithmetic	HW 2	9/21 (M)
3	9/21	M	Floor Function, Legendre's Formula, and Linear Diophantine Equations	HW 3	9/28 (M)
4	9/28	M	Pythagorean Theorem, The Method of Infinite Descent, and Fermat's Last Theorem	HW 4	10/12 (M)
5	10/12	M	Congruence, and Complete Residue System	HW 5	10/19 (M)
6	10/19	M	Reduced Residue System, and Euler's Theorem	HW 6	10/26 (M)
7	10/26	M	Linear Congruences, and Chinese Remainder Theorem	HW 7	11/2 (M)	Quiz 1 @ 10/26 (M)
8	11/2	M	Congruence Equations of Higher Degree	HW 8	11/9 (M)
9	11/9	M	Quadratic Congruence Equations, Square Residue, and Square Non-Residue	HW 9	11/16 (M)
10	11/16	M	Legendre Symbol, and Jacobi Symbol	HW 10	11/23 (M)
11	11/23	M	Quadratic Residues for Arbitrary Moduli	HW 11	11/30 (M)
12	11/30	M	Order, and Primitive Roots I			Quiz 2 @ 11/30 (M)
13	12/7	M	Primitive Roots II, and Index, Presentations	HW 12	(M)
14	12/14	M	n-th Residual, Presentations
15	12/21	M	Index for Arbitrary Moduli, Presentations	HW 13	(M)
16		M	Dirichlet Characters, Review, Presentations
			Final Exam ?? @ Teaching Building Rooms ???