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This is the homepage for MA 413: Abstract Algebra I.



  • First-day handout available here



    Assignment for Monday, August 17

    Read Chapter 1. Do problems 1--9, 11, 12, 16, 22.

    Assignment for Wednesday, August 19

    Read Chapter 2. Do problems 1--4, 6--8, 10, 16, 20, 25, 28



    To the right is a watercolor graduation portrait of Arthur Cayley (1842). He had just earned the rank of "Senior Wrangler" by scoring highest in Cambridge University's grueling Tripos Examination.



    Assignment for Monday, August 24

    Turn in problems 16, 23 and 28 in Chapter 2 this Wednesday. Remember that MA 413 is a W course. Please write careful, complete sentences.

    Do problems 17 -- 19, 26 in Chapter 2.

    Assignment for Wednesday, August 26

    Do problems 1, 2, 7, 8, 10, 11, 12, 14 in Chapter 3.

    Assignment for Monday, August 31

    Do problems 15, 17, 19, 20, 21, 22, 23, 30, 31, 34 in Chapter 3.

    Assignment for Wednesday, September 2

    Do problems 1, 5, 8, 9, 11, 14, 15, 16, 18, 21, 24, 26, 28, 30 in Chapter 4.

    Turn in problems 20, 26, 28, 34 in Chapter 3, and problems 4, 8 in Chapter 4. Solutions are due Wednesday, September 9 (our next class). Please write careful, complete sentences.

    Assignment for Monday, September 14

    Do problems 2, 3, 5, 6, 10, 16, 30 and 39 on pages 90 -- 93 (Supplemental Exercises).

    Assignment for Monday, September 21

    Do problems 1--9, 12, 15, 17, 18, 19 in Chapter 5.

    Assignment for Wednesday, September 23

    Hand in problems 8, 18, 19 on pages 112--113 on Monday.

    Assignment for Monday, October 12

    Do problems 3, 5, 6, 10, 12, 14, 20, 23, 24 and 27 on pages 132--133.

    Assignment for Wednesday, October 14

    Turn in problems 10, 20, 23 and 27 on Monday.

    Assignment for Wednesday, October 21

    Turn in ANY FOUR problems selected from 8, 10, 12, 14, 16, 20, 24, 26, 30 on pages 148--149. Problems are due next Wednesday.

    Assignment for Wednesday, October 28

    Turn problems 5, 12, 14, 20, 40 on pages 191--193 next Wednesday. Start your solution of Problem 5 by showing that H is indeed a subgroup of G. Review properties of determinants as needed.

    Assignment for Wednesday, November 4

    Turn in problems 6, 8, 22, 24 on pages 211--213 next Wednesday.

    Assignment for Wednesday, November 17

    Turn in problems 44 and 46 on page 213; problem 14 on page 231 (Hint: see problem 11 on page 230, if you have trouble); problems 2, 18 on page 241; problems 22, 24 on page 255.

    BONUS PROBLEM (worth extra 5 points): problem 50 on page 243 (Hint: Start by considering the element a+b.)

    This assignment is due on the last day of class. However, you may turn it in earlier, if you wish.