AJ Bu: Solutions to Written Qual Problems

This page is being updated as I find my old solutions.

This page includes my solutions to some problems on the Rutgers University written qualifying exams. These are from when I was studying for the written quals, so there may be some errors and incomplete solutions. I mainly focused on algebra and did not study real analysis very much. I passed all three exams in August of 2019, so there are no solutions after that point.

If you are studying for the quals, I highly recommend trying to do the problems yourself before viewing my solutions.

Algebra

• Spring 2019 (Solutions to problem 1, problem 2 (partial solution), problem 3, problem 4, problem 5)
• Fall 2018 (Solutions to problem 1, problem 2, problem 3, problem 4, problem 5)
• Spring 2018 (Solutions to problem 3, problem 5)
• Fall 2017 (Solutions to problem 1, problem 2, problem 3, problem 4, problem 5)
• Spring 2017 (Solutions to problem 1, problem 2 problem 3, problem 4, problem 5)
• Fall 2016 (Solutions to problem 1, problem 2, problem 3 )
• Spring 2016 (Solutions to problem 1, problem 2, problem 3, problem 5)
• Fall 2015 (Solutions to problem 1, problem 2, problem 3, problem 4, problem 5)
• Spring 2015 (Solutions to problem 1, problem 2, problem 3, problem 4, problem 5)
• Fall 2014 (Solutions to problem 1, problem 2, problem 3, problem 4, problem 5)
• Sample Exam in Curent Format (Solutions to problem 1, Problem 2, problem 3 )
• Various Problems from old format exams:
  • Fall 2013: Day 1 (Solutions to Problem 5)
  • Spring 2013: Day 1 (Solutions to Problem 3)
  • Spring 2012: Day 2 (Solutions to Problem 1)
  • Spring 2011: Day 1 (Solutions to Problem 6, Problem 8)
  • Fall 2010: Day 1 (Solutions to Problem 1)
  • Spring 2009: Day 1 (Solutions to Problem 3)
  • Spring 2008: Day 1 (Solutions to Problem 1, Problem 7) Day 2 (Solutions to Problem 7)
  • Fall 2006: Day 2 (Solutions to Problem 3)
  • Spring 2006: Day 1 (Solutions to Problem 1, Problem 4, Problem 5) Day 2 (Solutions to Problem 4)
  • Spring 2005: Day 1 (Solutions to Problem 8)

Complex Variables and Advanced Calculus

• Fall 2018 (Solutions to problem 4 )
• Spring 2018 (Solutions to problem 3 )
• Fall 2016 (Solutions to problem 1 )
• Spring 2016 (Solutions to problem 4 )
• Spring 2015 (Solutions to problem 2, problem 5 )
• Fall 2014 (Solutions to problem 4 )
• Sample Exam in Curent Format (Solutions to problem 2, problem 4 )
• Various Problems from old format exams:
  • Spring 2011: Day 1 (Solutions to problem 2)
  • Fall 2009: Day 1 (Solutions to problem 4)
  • Spring 2006: Day 1 (Solutions to problem 2)

Real Analysis and Elementary Point Set Topology

• Fall 2018 (Solutions to problem 3 )
• Spring 2018 (Solutions to problem 3 )
• Fall 2017 (Solutions to problem 1, problem 2, problem 3 )
• Spring 2017 (Solutions to problem 1, problem 2, problem 4 )
• Fall 2016 (Solutions to problem 1, problem 2 )
• Spring 2016 (Solutions to problem 1, problem 2 )
• Fall 2015 (Solutions to problem 4 )
• Fall 2014 (Solutions to problem 1 )
• Sample Exam in Curent Format (Solutions to problem 4)
• Various Problems from old format exams:
  • Spring 2008: Day 2 (Solutions to problem 4)