## Department of Mathematics, Rutgers

- Due in class on Tuesday, February 6, 2016: do Exercise 16.1.16, and use it to write up a careful proof of Lemma 16.2.18.
- The second homework set will not be collected.
- Due in class on
**February 23, **please do all six parts of Exercise 19.3.22 from your book (page 343). This will be graded as the first exam.
- Algebra HW 3
- Do problems 26.4.13, 26.4.14, 26.4.15 in your text. Read the proof of Theorem 26.4.18 (The Going Down Theorem), and give 2 examples illustrating the result. Read the remainder of the chapter. This assignment is due in class on Tuesday April 10
- Problems assigned in class, due Tue April 24.
- Final HW set (Take home final). Do Problems 29.2.3, 29.2.5, 29.2.8, and 29.2.9. Turn them in when you can, before the semester ends.