Resources for the Final Exam, Mathematics 54, Spring 2012


Old final exams for practice:

Practice Final Exam 1 (Ribet)     Answer Key

Practice Final Exam 2 (Vojta)     Answer Key

Practice Final Exam 3 (Bergman)     Answer Key

Practice Final Exam 4 (Holtz)     Answer Key

Practice Final Exam 5 (Tabrizian)     Answer Key

As far as complex numbers are involved, please see this guide. Complex numbers as such will NOT appear on the final.


List of proofs which may appear on the final exam:

Chapter 1 (Lay), Theorem 6 (proof was presented in class)

Chapter 1 (Lay), Theorem 7 (proof on p.72)

Chapter 1 (Lay), Theorem 10 (proof on p.85)

Chapter 1 (Lay), Theorem 11 (proof on p.90)

Chapter 2 (Lay), Theorem 6, part a and b (proof on p.124)

Chapter 2 (Lay), Theorem 12 (proof on p.156)

Chapter 4 (Lay), Theorem 7 (proof on p.234)

Chapter 4 (Lay), Theorem 8 (proof on p.238)

Chapter 4 (Lay), Theorems 9,10 (proofs on pp.244,245)

Chapter 4 (Lay), Theorem 14 (proof on 253 or a different presentation in lecture)

Chapter 5 (Lay), Theorem 2 (proof on p.275)

Chapter 5 (Lay), Theorem 4 (proof on p.283 or a different presentation in lecture)

Chapter 5 (Lay), Theorem 5 (proof on p.289)

Chapter 6 (Nagle et al), Theorem 4 (proof on p.543)

Chapter 9 (Nagle et al), Theorem 5 (proof on p.588)