Homework


Homework Grading Rubrics.
Homework assignments that you turn in will be graded according to the Homework Rubric and Proof Rubric.

Homework 1 - Due: Aug 27
  • Read the syllabus and complete the intro sheet.
  • Read pp. 3-12.
  • Chapter 0 - 1,3,5,6,7,12,15,16,18,19,Challenge: 20.

    • Homework 2 - Due: Aug 28
  • Read pp. 13-23.
  • Chapter 0 - 27,34,59,60.
  • Notation: If \(R\) is a relation, the book uses \(aRb \) to mean that \(a\) is related to \(b\); that is, \( (a,b)\in R\). The book also mentions other notations, such as \(a \sim b\) instead of \(aRb \).
  • Complete these two additional problems.

    • Graded Problem Set 1 - Due: Aug 30
  • Chapter 0 - 28.
  • Complete these two additional problems.

    • Homework 3 - Due: Aug 30
  • Read pp. 31-37.

    • Homework 4 - Due: Sept 2.
  • Read pp. 31-37.
  • Ch 1 - 6,7,8,10,21,24(Row 1).

    • Homework 5 - Due: Sept 3.
  • Read pp. 42-53.

    • Homework 6 - Due: Sept 4.
  • Read pp. 42-53.
  • Note: Many of the following problems are very short, so please be prepared to present at least 2 problems.
  • Chapter 2 - 7,8,9,18 (use the pp.32-33 to help), 20,25,26,27,28,30,31,33,35,47,49.

    • Graded Problem Set 2 - Due: Sept 6
  • Chapter 2 - 34,46.
  • Complete problem 1. Problem 2 is really cool and you should try it (but you do not need to turn it in).

    • Homework 7 - Due: Sept 6.
  • Finish Homework 6, and start reading Chapter 3 (pp.60-68).

    • Homework 8 - Due: Sept 9.
  • Read pp. 60-68.

    • Homework 9 - Due: Sept 10. (We may need two days for this problem set)
  • Chapter 3 - 1,2,3,4,6,18,22,23,33,37,38,50,53,58,67,73,79.
  • Note: we may need two days for this problem set, but please be prepared to fully present at least 2 problems each day. You should always complete as much of the problem set as possible.

    • Graded Problem Set 3 - Due: Sept 13
  • Chapter 3 - 26,32.
  • Complete these two additional problems.

    • Homework 10 - Due: Sept 13.
  • Chapter 3 - 41.
  • Read pp. 77-86.

    • Homework 11 - Due: Sept 16.
  • Read pp. 77-86.
  • Chapter 4 - 1,2,8,9,11,14,18,21,24,32,33,34,35,37.

    • Homework 12 - Due: Sept 17.
  • Read pp. 99-117.

    • Homework 13 - Due: Sept 18.
  • Chapter 5 - 1,3,4,5,6,7,8,10,11,17,39,43,44,45,65.

    • Graded Problem Set 4 - Due: Sept 20
  • Chapter 4 - 22,40,64.
  • Chapter 5 - 2,42

    • Homework 14 - Due: Sept 20.
  • Chapter 5 - 16,22,27,30,38.

    • Homework 15 - Due: Sept 23.
  • Read pp. 127-138.

    • Homework 16- Due: Sept 24.
  • Chapter 6 - 1,3,4,5,8,9,32,33,37.
  • Once you finish all of the above here are some additional problems: Chapter 6 - 6,7,31,2.

    • Homework 17- Due: Sept 25.
  • Finish HW16 problems. Then do Chapter 6 - 2,6,7,31,40,57.

    • Graded Problem Set 5 - Due: Sept 27
  • Chapter 6 - 34.
  • Complete these three additional problems.

    • Homework 18- Due: Sept 27.
  • Read pp. 144-156.

    • Homework 19- Due: Sept 30.
  • Chapter 7 - 1,2,3,4,5,6,7,8,15,17,18,25,26,27,28,29,31.

    • Homework 20- Due: Oct 1.
  • Chapter 7 - 14,48.

    • Homework 21- Due: Oct 2.
  • Read pp. 162-173.

    • Graded Problem Set 6 - Due: Oct 4
  • Chapter 7 - 46.
  • Complete these three additional problems.

    • Homework 22- Due: Oct 4.
  • Chapter 8 - 1-8,15,17,18,25,26,27,28,29,31.

    • Homework 23- Due: Oct 18.
  • Read pp. 185-200.
  • Chapter 9 - 1,6,9,11,14,18,21,37,67.

    • Homework 24- Due: Oct 21.
  • Finish the rest of the above and Read pp. 208-219.

    • Homework 25- Due: Oct 22.
  • Read pp. 208-219.
  • Let \(\varphi:G\rightarrow \overline{G}\) be a group homomorphism. Prove that \(\text{ker}\varphi \lhd G\)

    • Homework 25- Due: Oct 23.
  • Chapter 10 - 2,3,4,5,6,8,9,19,21,27,41

    • Homework 26- Due: Oct 25.
  • Finish the above and Chapter 10 - 52,54,56

    • Graded Problem Set 7 - Due: Oct 28
  • Chapter 10 - 24,40.
  • Complete these two additional problems.

    • Homework 27- Due: Oct 29.
  • Chapter 12 - 2,4,5,12,14,16,18,22,29,38,42,50

    • Graded Problem Set 8 - Due: Nov 5
  • Chapter 12 - 6.
  • Complete these three additional problems.

    • Homework 28- Due: Nov 5.
  • Chapter 13 - 2,4,5,6,7,11,38,39,46,57

    • Graded Problem Set 9 - Due: Nov 8
  • Chapter 13 - 10,18,32,36.

    • Homework 29- Due: Nov 11.
  • Chapter 14 - 1,4,6,8,9,(15,17 together counts as one problem),27,28,39,46

    • Homework 30- Due: Nov 11.
  • Chapter 14 - 12, 34, 41, 45.

    • Graded Problem Set 10 - Due: Nov 15
  • Chapter 14 - 2,10,12.

    • Homework 31- Due: Nov 15.
  • Chapter 15 - 6,13,14,16,18,26,66.

    • Homework 32- Due: Nov 19.
  • Chapter 16 - 2,5,6,9,16,17,19,20,28,47.

    • Homework 33- Due: Nov 20.
  • Chapter 16 - 13,20,31,42.
  • Complete these additional problems.

    • Graded Problem Set 11 - Due: Nov 22
  • Complete these problems.

    • Homework 34- Due: Nov 25.
  • Chapter 17 - 3,6,7,9,10,11,15,16,24,27,30,36.