Welcome to the Math 647/8/9 web page!

Here are the course notes chapter by chapter. Please let me know of mistakes -- I will correct them on-line when you do! No starred sections will be on the qualifying examination.

  • Title page: title.pdf.
  • Table of contents: contents.pdf.
  • Chapter 0 - Categories: ch0.pdf.
  • Chapter 1 - Groups: ch1.pdf.
  • Chapter 2 - Rings: ch2.pdf.
  • Chapter 3 - Modules: ch3.pdf.
  • Chapter 4 - Algebras: ch4.pdf.
  • Chapter 5 - Fields: ch5.pdf.
  • Chapter 6 - Commutative algebra: ch6.pdf.
  • Here are exercise sets for each chapter.

  • Exercises from chapter 0: ch0ex.pdf and with solutions ch0exs.pdf.
  • Exercises from chapter 1: ch1ex.pdf and with solutions ch1exs.pdf.
  • Exercises from chapter 2: ch2ex.pdf and with solutions ch2exs.pdf.
  • Exercises from chapter 3: ch3ex.pdf and with solutions ch3exs.pdf.
  • Exercises from chapter 4: ch4ex.pdf and with solutions ch4exs.pdf.
  • Exercises from chapters 5 and 6: ch5ex.pdf and with solutions ch5exs.pdf.
  • Here are the solutions for the midterms and finals.

  • Fall midterm: midterm1.pdf and with solutions midterm1s.pdf.
  • Fall final: final1.pdf and with solutions final1s.pdf.
  • Winter midterm: midterm2.pdf and with solutions midterm2s.pdf.
  • Winter final: final2.pdf and with solutions final2s.pdf.
  • Spring midfinal: midfinal.pdf and with solutions midfinals.pdf.
  • Here are is an old qualifying exam from when I taught the course in 1999.

  • Qualifying exam from Fall 2000: qual.pdf.

  • CORRECTIONS. If people find mistakes, I'll post them here (and correct the on-line version of the notes).