Office Hours: MWF 10-11am or by appointment. Homework help session every Thursday 2:30-3:30pm at Jones 131.
Text: Elements of Number Theory, by John Stillwell, ISBN: 0-387-95587-9. You can find this book in W&M bookstore for ~$40.
Course goal: This is an introduction course on number theory and some related algebra, with an emphasis on solving equations in integers. Some main topics will include division theorem and Euclidean algorithm, unique prime factorization, congruence arithmetic, linear Diophantine equations, Pell equation, Gaussian integers and quadratic integers, quadratic reciprocity. If time permits, we may cover a little of ideals and prime ideals.
Tests: There will be two mid-semester tests: the tentative dates are Oct 6 and Nov 17. Make-up tests are only given in extreme circumstances such as documented serious illness or personal circumstance. I must review such cases prior to the start of the test.
Final Exam: final exam will be offered on Thursday Dec 9. Location TBD.
Homework:
There will be weekly homework assignments. We cannot emphasize the importance of homework enough. Although understanding material while you read the text or listen to lecture is certainly important, your most important studying will be in completing the homework assignments.
Start homework early and work steadily!
Help Session: A weekly homework help session will be offer every Thursday at Jones Hall 131. Tentative time: 2:30-3:30pm
Attendance: Regular attendance is critical for your success in this course. I expect your presence at every lecture.
Grading: Your final grade is calculated as follows:
Mid-semester Tests 20% each
Homework 30%
Final Exam: 30%
The letter grade is assigned using the scale:
A > 93 > A- > 90 > B+ > 87 > B > 83 > B- > 80> C+ > 77 > C > 73 > C- > 70 > D+ > 67 > D > 63 > D- > 60 > F
Honor Code: Students will uphold William and Mary's stated honor code as it is written, any infractions will be referred to the Honor Council.