Spring 2017

Professor: Erika L.C. King

Email:eking@hws.edu

Office: Lansing 304

Phone: (315)781-3355

**Our final exam is Sunday (May 7th) 1:30PM-4:30PM in Gulick 223. You will turn in your journal at the beginning of the exam. I will
randomly grade three to five of the entries
completely. Then I will count to see how many total entries you have. Note that it is highly likely that
the graded entries will be those things we did not specifically go over in class. Remember to follow the
journal guidelines (hightlighting exercise/problem numbers or the start of a question, etc.).**

- Vocabulary List
- One Question you had followed by an answer for each journal assignment for a total of 6 questions with answers.
- Carefully reread the uniqueness proof of Theorem 1.14. What are the main steps that are used in this proof (and in uniqueness proofs in general)? That is, for each style of proof in the past, we gave an outline (for example, for proof by contraposition we (1) assume the conclusion is false and (2) show that the hypothesis must then be false as well), what is the outline for this one? (The headline you highlight in your journal for this could be "Uniqueness Proof Outline".)
- You Try It problems 1.16, 1.17, 1.18, 1.21 and 1.23 from the Relations handout
- You Try It problems problems 1.25 (the second lattice only since we did the first one in class), 1.26, 1.27, 1.29, 1.30, 1.31 and 1.32 from the Relations handout
- You Try It problems 1.33, 1.35 and 1.36 from the Relations handout
- Problems 3 and 6 from Section 1.3 (Problems) on page 13 of your Relations handout
- UNIQUENESS: Complete this for your journal. Assume that 4x3-53 has a real root. Prove that it has only one. (This is a uniqueness proof!)
- Problems 4 and 11 on pages 113-114 of your textbook
- You Try It problems 1.37 from the Relations handout
- Problems 4 from Section 15.8 on page 455 of your textbook
- Problems 12, 15 and 24 on pages 113-114 of your textbook
- Problems 3 and 9 in Section 15.8 on pages 455-456 of your textbook
- Problem 11 from Section 1.3 (Problems) on page 14 of your Relations handout
- Problems 16 and 22 on page 114 of your textbook
- Check Yourself problems 1-2 at the end of Section 15.5 on page 453 of your textbook