Department of Mathematics
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Math 461

Assignments

Lesson 1: Read from page 42 to top of page 50 -- due by lesson 2

Lesson 2: Homework: pp. 53-54 Problems 1,2,4,6,7 due by lesson 3

Lesson 3: Take Home Quiz due before Lesson 5. Find an example using the set of all people of a relation that is reflexive, symmetric and transitive. Then find one that if reflexive, symmetric and not transitive. Continue until you have found examples for all 8 combinations of affirming and denying the three propeties.

Lesson 4: Homework P.26 problems 49,50. Take Home Quiz P. 25 problem 48 (Due by lesson 6)

Lesson 6: Homework: Prove that the addition and multiplication on the rational numbers (using the equivalence classes) are well defined. Due on Lesson 7.Take home quiz due on Lesson 8 is to prove that multiplication on Z5 is well defined.

Lesson 9: Due lesson 11 Please click here for assignment (Quiz 4)

Lesson 10: Homework due Lesson 11 pp53-5 Problems 1,2,4,6,7,8,11,14,16,17

Lesson 11: Due Lesson 13 Please click here for assignment (Quiz 5)

Lesson 14: Please click here for a correction to the lecture

Lesson 15: Due Lesson 17 (Quiz 6) pp 67-8 Problems 6,14. Homework due Lesson 16 pp67-8 Problems 1,4,5,7-10,12,17

Lesson 16: Due Lesson 18 (Quiz 7) pp 70-1 Problems 46,52 Homework due Lesson 17 pp68-70 Problems 21-23,28,34,45,49

Lesson 17: Homework due Lesson 18 p. 82 Problems 1,2,7,8

Lesson 18: Due Lesson 20 (Quiz 8) p. 83 Problem 24. Homework due Lesson 19, pp 82-3 Problems 11,12,15,19,32,33,34

Lesson 19: Due lesson 1-C (Quiz 9) p.113 Problems 12,19. Homework due Lesson 20 p. 112 Problems 1-5

Lesson 1-A: Homework due Lesson 1-B p.132 Problems 1-6 and prove that the number of even permutations in Sn is equal to the number of odd permutations.

Lesson 1-B: Homework due Lesson 1-C p132 Problems 9,12-16

Lesson 23: Due lesson 25 (Quiz 10) Please click here for the assignment

Lesson 25: Homework due Lesson 26 p.148 Problems 1-3

Lesson 26: Due Lesson 28 (Quiz 11) p. 148-9 Problems 16, 24. Homework due Lesson 27 p.148 Problems 7,8,9,12-15.

Lesson 27: Homework due Lesson 28 p. 149 Problems 26, 31 Work with the group models and find the stabilizer and orbits in group 422 and 332.

Lesson 28: Make sure that you have read pp137-142. We are skipping the rest of this chapter for now.

Lesson 30 : Homework due Lesson 31 Read pp153 - middle of 157. Do Problems (on page 165) 1,2,3,4,7. Take Home Quiz 12 due Lesson 32 Problems 8, 20.

 

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