Math 100C: Abstract Algebra (Spring 2013)

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This is last quarter in the MATH 100ABC sequence, the rigorous introduction to abstract algebra in which concepts and proofs are emphasized more than techniques. Our main goal is to understand Galois theory, but we will also cover some parts of Chapter 7.

Meeting times:

• Lecture (by Alina Bucur) MWF 10-10:50pm, HSS 1305
• Discussion section (by Michael Kasa) Tu 8-9am, AP&M B412

Instructor: Alina Bucur Office: AP&M 7131 Email: alina@math.ucsd.edu Office hours: Tu 2:30-3:30pm                      and by appointment

TA: Michael Kasa Office: AP&M 6452 Email: mkasa@math.ucsd.edu Office hours: M 1-2pm                      W 11am-12pm

Required text: Abstract Algebra by John Beachy and William Blair, Third Edition

Homework: Assigned weekly, due Wednesday by 5pm in the relevant homework box located in the basement of AP&M.

Quiz: Wednesday, April 24, in class

Midterm exam: Friday, May 10, in class

Final exam: Monday, June 10, 8-11am, HSS 1305. Please note that by signing up for this course, you are agreeing to sit for the final examination at this date and time.

Grading: 25% homework, 10% quiz, 25% midterm, 40% final exam.

Announcements:

• WELCOME! Please note the change to hw policy.
• Please not the change for the date of the quiz: it will be on W 4/24 (same day HW3 is due). It will cover sections 8.1-8.3 of the textbook and HW1-3.
• Special office hours before the quiz: Tu 4/23 5:30-7pm (Alina) instead of the usual 2:30-3:30pm.
• You might find the first few sections of James Milne's notes on Galois theory useful.
• Special office hours before the midterm: Th 5/9 2-3pm (Michael) and 6:30-8pm (Alina)
• Alina's office hours on Tu 5/14 are rescheduled for W 5/15 2:30-3:30pm.
• Michael wrote solutions for the midterm.
• Alina's office hours on Tu 5/21 are rescheduled for 2-3pm.
• No class on Monday 5/27 (Memorial Day)
• Tuesday 5/28 section will be led by Franklin Kettner, filling in for Michael.
• The final exam will take place in HSS 1305, same location as the lectures.
• Schedule for office hours before the final exam:
  • Thursday 6/6 2-3:30pm, AP&M 7131 (Alina)
  • Saturday 6/8 5-7pm, AP&M 7131 (Alina)
  • Sunday 6/9 5-7pm, AP&M 6452 (Michael)
• Review problems in pdf form - updated Sat 6/8

Homework: You are encouraged to work on these problem sets with a small group of other students in the class, but every student should write up his or her own solutions.

• HW 1 (due W 4/10)
  • Section 8.1: 1, 4, 5, 7
  • Section 8.2: 1, 2, 3, 7, 8, 9
  Solutions (courtesy of Michael)


• HW 2 (due W 4/17) pdf | sol (courtesy of Michael)


• HW 3 (due W 4/24) pdf | sol (courtesy of Michael)


• HW 4 (due W 5/1) pdf | sol (courtesy of Michael)


• HW 5 (due W 5/8)
  • Section 7.3: 2, 5, 7 (these are repeats from 100A), 11, 13
  • Section 7.4: 1, 3, 4, 5, 6
  Solutions (courtesy of Michael)


• HW 6 (due W 5/15)
  • Section 7.4: 8, 9, 11, 13; extracredit: 14
  • Section 7.5: 1, 2, 3, 5
  Solutions (courtesy of Michael)


• HW 7 (due W 5/22)
  • Section 7.5: 6, 7, 8, 10
  • Section 7.6: 1, 2, 9, 10
  Solutions (courtesy of Michael)


• HW 8 (due W 5/29)
  • Section 7.7: 1, 2, 10, 11, 12
  • Section 8.4: 2, 3, 4
  Solutions (courtesy of Michael)


• HW 9 (due FRIDAY 6/7)
  • Section 8.4: 1, 5, 6, 8; extracredit: 7
  • Section 8.5: 1, 2, 3, 7, 9, 10
  • Section 8.6: 1, 2, 3, 4, 5, 12
  Solutions (courtesy of Michael)