-

# MATH650

Resources for MATH650, Spring 2018

### Course information

MATH650 is an introductory course on elliptic curves.

• Prerequisites:Math 231AND Math 220 and one of: 333, 615, 619, or 702.
• Textbook: I will be lecturing out of the book "Rational Points on Elliptic Curves", by Joe Silverman and John Tate, 2nd edition.
• Quizzes: There will be one quiz every few weeks. Every class/week I will suggest some problems from the book to work on in preparation for the quiz.
• Grading: The final grades will be based around the following rubric: A range is 85-100, B range is 70-84, C range is 60-69, D range is 50-59, and anything below is an F.
• Weekly Problem Session: Mondays, possibly Wednesdays sometimes, 10:45-11:45 (note time), in Kiely 173.

### Announcements:

• Week 1: No quiz.
• Week 2: No quiz.
• Week 3: No quiz.
• Week 4: Quiz on February 21, on all of Appendix A.
• Week 5: No quiz.
• Weel 6: No class this week.
• Week 7: No quiz.
• Week 8: Quiz on Monday on Sections 1.1-1.4.
• Week 9: No quiz this week.
• Week 10: Spring break.
• Week 11: Quiz on Monday, April 9, on Chapter 2. We WILL have class on Wednesday, April 11.
• Week 12: No quiz this week.
• Week 13: Quiz on Wednesday, April 25.
• Week 14: No quiz this week
• Week 15: No quiz this week
• Week 16: Quiz on Wednesday, May 16.

Suggested problems from book: pages 305-309: 1, 2, 3, 4, 6, 8, 9, 12, 14 (a), 16. pages 28-34: 1, 3b, 3c, 4, 5, 7, 9, 13abc, 15, 17, 18abc, 19, 20. pages 58-63: 2, 4ab, 6, 10, 11b, 12 (pick a handful), 13. pages 111-115: 1a, 2a, 2c, 2d, 5 (for this problem, assume that P_1 is T or O, since the other cases are proved in the book), 7a, 7b. More problems from pages 111-115: 9abc, 10, 11, 14.