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Number Theory
Last updated May 31, 2008 12:24:21 EDT

General Information Syllabus Homework Assignments


Weekly Homework Assignments

Sept 25 - 27, 2002 Sept 30 - Oct 4, 2002 Oct 7 - 11, 2002 Oct 14 - 18, 2002
Oct 21 - 25, 2002 Oct 28 - Nov 1, 2002 Nov 4 - Nov 8, 2002 Nov 11 - Nov 15, 2002
Nov 18 - Nov 22, 2002 Nov 25 - End of Term, 2002    


Week of Nov 25 - End of Term, 2002
Assignments Made on:
Monday (Nov 25)
  • Study: 9.1, 9.4
  • Do:
Monday (Dec 2)
  • Study: 9.4
  • Do:
Wednesday (Dec 4)
  • Study: 9.4, 9.5
  • Do: Final Exam distributed (due 9 December, noon)


Week of Nov 18 - 22, 2002
(Due by Monday, Dec 2)
Assignments Made on:
Monday
  • Study: 7.2, 7.3
  • Do: pp 235--238: 11, 22, 23, 24 (sigma_k defined before problem 20)
    p249: 30cd, 37
Wednesday
  • Study: 7.4
  • Do: pp 256--257: 10, 30, 31
Friday
  • Study: 9.1
  • Do: 3a, 5, 19


Week of Nov 11 - 15, 2002
(Due Wednesday, Nov 20)
Assignments Made on:
Monday
  • Study: 6.2
  • Do: p 213: 12, 13, 14
    Reminder: Math 25 exam will go out on Wednesday, November 13 to be turned in on Friday, November 15.

Wednesday
  • Study: 6.2
  • Do: Take-home exam
Friday
  • Study: 7.1, 7.2
  • Do: pp 229 -230: 33, 40, 41 (the function lambda is defined above problem 39)


Week of Nov 4 - Nov 8, 2002
(Due Wednesday, Nov 13)
Assignments Made on:
Monday
  • Study: 6.3, 7.1
  • Do: Do: pp 218 - 219: 6, 12, 17
    pp 227 - 229: 1, 15, 28
    Reminder: Math 25 exam next week!
    The exam will go out on Wednesday, November 13 to be turned in on Friday, November 15.

Wednesday
  • Study: 8.4
  • Do: pp 290 - 291: 2, 6
Friday
  • Study: 8.4
  • Do: none


Week of Oct 28 - Nov 1, 2002
(Due Wednesday, Nov 6)
Assignments Made on:
Monday
  • Study: 8.1
  • Do: p 267: 6, 8
Wednesday
  • Study: 4.5, 8.2
  • Do: p 168: 9a, 10a
    pp 278 - 279: 2, 8, 15, 16
Thursday (x-hour)
  • Study: 8.2
  • Do: none


Week of Oct 21 - 25, 2002
(Due Wednesday, Oct 30)
Assignments Made on:
Monday
  • Study: 5.2, 5.5
  • Do: The fiftieth anniversary of the Apollo moon landing will be on July 20, 2019. What day of the week will that be?
Wednesday
  • Study: 6.1
  • Do: pp 203 -- 204: 7, 11, 43
    On #7, you should derive this starting from Wilson's theorem
Friday
  • Study: 8.1
  • Do: none


Week of Oct 14 - 18, 2002
(Due Wednesday, Oct 23)
Assignments Made on:
Monday
  • Study: 4.2
  • Do: pp 141 - 143: 1f, 5, 15, 18
Wednesday
  • Study: 4.3, 4.6
  • Do: p 150: 12
Friday
  • Study: 4.6, 5.2
  • Do: p 172: 2b


Week of Oct 7 - 11, 2002
(Due Wednesday, Oct 16)
Assignments Made on:
Monday
  • Study: 3.4
  • Do: p 104: 9, 10, 14, 16a ([x] is defined on p33)
Wednesday
  • Study: 4.1
  • pp 135 -- 137: 5, 7c, 19, 28c
Friday
  • Study: 4.1
  • p 138: 38


Week of Sept 30 - Oct 4, 2002
(Due Wednesday, Oct 9)
Assignments Made on:
Monday
  • Study: 3.1
  • Do: p 77: 8, 11, 13
Wednesday
  • Study: 3.2, 1.2
  • Do: pp 22 - 24: 5, 14, 24, 34, plus the following problem:
  • Blue Eyes and Logic

    On an island live seventeen natives all of whom have blue eyes, and who worship the sun as god. They are capable of perfect logic, and live by the two rules:

    • No native reveals the color of a person's eyes to that person.
    • If a native learns that their eyes are blue, they must jump off a cliff at 11:59:59 pm of the day they discover this fact.

    A missionary comes to the island with the intent to convert the natives to the ``true faith'', but after months of effort fails to persuade even a single native. Discouraged, the missionary leaves, but just as he departs he tells the natives (all of whom have gathered to see him off) that ``at least one of you has blue eyes''.

    1. Describe what happens over the course of the next year.
    2. The far more interesting question is what (if anything) did the missionary tell the natives that they didn't already know?
Friday
  • Study: 1.2, 3.3
  • Do: p93 1cd


Week of Sept 23 - 27, 2002
(Due Wednesday, Oct 2)
Assignments Made on:
Monday No classes yet
Wednesday
  • Study: Intro day
  • Do:
Friday
  • Study: 1.4, 3.1(start)
  • Do: p 14: 1
    pp 34 -- 37: 6, 8 and
    pp 76 -- 78: 20, 21 (You don't have to use the hint on 21)


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