08-401/Homework Assignment 5

08-401/Navigation Panel   # Week of... Links 1 Jan 9 About, Notes, HW1 2 Jan 16 HW2, Notes 3 Jan 23 HW3, Photo, Notes 4 Jan 30 HW4, Notes 5 Feb 6 HW5, Notes 6 Feb 13 On TT, Notes R Feb 20 Reading week 7 Feb 27 Term Test (and solution) 8 Mar 5 HW6, Notes 9 Mar 12 HW7, Notes 10 Mar 19 HW8, Notes, RC (PDF) 11 Mar 26 HW9, Notes 12 Apr 2 FT, HW10, Notes 13 Apr 9 Notes S Apr 14-25 Study Period: blackboards F Apr 28 Final Add your name / see who's in! Register of Good Deeds

Announcements go here

Reading

Read chapters 16 and 17 (to page 306) of Gallian's book (6th edition) three times:

• First time as if you were reading a novel - quickly and without too much attention to detail, just to learn what the main keywords and concepts and goals are.
• Second time like you were studying for an exam on the subject - slowly and not skipping anything, verifying every little detail.
• And then a third time, again at a quicker pace, to remind yourself of the bigger picture all those little details are there to paint.

Doing

Solve problems S20, 22, 24, S27, S31, 32, 38, S39, 40, S45, 49 in Chapter 16 of Gallian's book (6th edition) and problems 2, S4, 5 in Chapter 17 of the same book, but submit only the solutions of the problems marked with the letter "S".

Due Date

This assignment is due in class on Wednesday February 13, 2008.

The notes below are by the students and for the students. Hopefully they are useful, but they come with no guarantee of any kind.

Corresponding Questions for Gallian's 5th Edition

Chapter 16 - S20, 22, 24, S27, S31, 32, 38, S39, 40
S45: Let F be a field. Show that there exists a,b in F with property (x^2 + x + 1) divides (x^43 + ax + b)
49: Show that 1 is the only solution of x^25 - 1 = 0 in Z/37
Chapter 17 - 2, S4, 5