Foundations of Mathematics
Spring 2006
Some advice
on writing from Ralph Boas. Some
departmental guidelines on written assignments.
The
Honor Code
The
Solutions Page View Your
Grade
An Assignment
Log
Download Late Homework Cover Sheet Here Last updated on
Thursday, May 04, 2006 09:13:37 AM
See assignments for
Week 1 Week
2 Week 3 Week
4 Week 5
Week 6 Week
7 Week 8 Week
9 Week 10
Week 11 Week
12 Week 13 Week 14
Finals
Week 1
2/1: These are due on 2/6, except as
noted. Problems in blue cannot be collected, but
are important and you should do them! Problems in black will be collected
at the beginning of class.
 Enroll in the Blackboard site for this course.
(Yes, this is part of your assignment!) If you have any trouble, view
this
page through Internet Explorer. Please do
this before our next class! I will
check to whether or not you have enrolled in the class.
 Read the course introduction handout carefully.
 Read Section 1.1 in MHH.
 Do problems 3, 4, 8, 15, 16, 20, 21, 31, 33, 38,
57 from Section 1.1 in MHH.
2/3: These are due on 2/8.
 Read Section 1.2 in MHH.
 Do problems 3, 5, 7, 11, 15, 21, 24, 25, 28 from Section
1.2 in MHH.
Week 2
Gateway Material for Week 2
Skim sections 6.16.4 in MHH, paying particular attention
to material that seems unfamiliar. To quiz yourself, see if you can do the
following problems. You do not need to turn them in. You may use a
calculator, but it would be most beneficial if you can do these problems without
using a calculator.
 From section 6.1: 29, 31, 33, 35, 41, 47, 45, 53, 55.
 From section 6.2: 735 odd
 From section 6.3: 1, 3, 1935 odd
 From section 6.4, 1723 odd
When you are comfortable with this material, take Gateway
Quiz 1 on the Blackboard site for
this course. Allow 20 minutes for the quiz. You should take the quiz
with your book and notes closed. You may use a calculator. You may
take the quizzes as many times as necessary to pass. Passing is 9 or more
correct out of the 10 questions.
You need to pass this quiz before
class on Monday, February 13.
2/6: Due 2/10.
 Read Section 2.1 in MHH.
 Do problems 18, 9, 11, 23, 25, 33, 4146,
5975, from Section 2.1 in MHH.
 Our last class led to a very
interesting question: when we are finding the next number in a sequence, what
assumptions do we make? To explore this idea, I added a threaded
discussion to our course Blackboard site. Check on "Discussion Board" to
participate. I've put four sequences on the board. Your job is to find the next
number in the sequence, and tell how you did it. For each good response you
post, I'll give you one bonus point on your homework score. The most you can get
on this assignment is two bonus points. I'll do an example in class. There is no
one right answer  that's the point!
2/8: Due 2/13. Today's
Discussion Problem
 Read Section 2.2 in MHH.
 Do problems 134 every third problem (that is, 1, 4,
7, ..., 34), 43, 46, 49, from Section 2.2 in MHH.
2/10: Due 2/15.
 Read Section 2.3 in MHH.
 For practice, all of the exercises
728 are good. I've picked a few to collect, but it wouldn't be a bad idea
to do all of them for practice. I'll post the answers to the evens if you
want me to do so.
 Do problems 14 all, 6, 7, 8, 13, 14, 15, 16, 19, 20,
23, 24, 81, 82, 83, 85, 86, 87, 99, 100 from Section 2.3 in MHH.
Week 3
2/13: Due 2/17.
Today's thought problem.
 Do problems 5, 7174 all from Section 2.3 in MHH.
2/15: Last day to add a class!
Today's handout.
We didn't get too far in section 2.4, so just
read the section before class on FRIDAY.
 Read Section 2.4 in MHH.
2/17: Due 2/22
 Reread Section 2.4 in MHH.
 Do exercises 17 odd, 17, 18, 19, 20, 23 from section
2.4.
Week 4
2/20: Due 2/24.
 Read Section 2.5 in MHH.
 Do exercises 16 all, 1122 all.
2/22: Due 3/3.
Today's thought problem.
 Read Section 3.1 in MHH.
 From Section 3.1, do exercises 113 odd, 3336 all, 5764 all, 75.
2/24: Due 3/6.
Today's thought problem
 Read Section 3.2 in MHH.
 From Section 3.2, do exercises 16 all, 717 odd, 21, 22, 25, 26, 3742
all (read the instructions!), 45, 46, 49, 50.
Week 5
2/27:
Study for
the exam. No additional assignment.
3/1: Exam 1 over the material covered on 2/12/22.
3/3: Last day to drop a class! Due 3/8.
Look ahead to next week for your second Gateway Quiz.
 Read Sections 3.3 and 3.4 in MHH. You may skip the
section on circuits in 3.3 if you wish.
 Do exercises 2125 odd, 4151 odd 55, 59,
79, 81, 82, 85 from section 3.3.
 Do exercise 9 from section 3.4.
 After you have done the exercises above, on the
other side of the paper or on a separate piece of paper, do exercises 24, 48,
56, 60, 80, 86 from section 3.3, and exercise 10 from section 3.4.
These should be viewed as a takehome quiz.
Week 6
Gateway Material for Week 6
Skim section 6.5 in MHH, paying particular attention
to material that seems unfamiliar. To quiz yourself, see if you can do the
following problems. You do not need to turn them in. You may use a
calculator, but it would be most beneficial if you can do these problems without
using a calculator.
 From section 6.5: 2553 odd, 57, 6169 odd.
When you are comfortable with this material, take Gateway
Quiz 2 on the Blackboard site for
this course. Allow 30 minutes for the quiz. You should take the quiz
with your book and notes closed. You may use a calculator. You may
take the quizzes as many times as necessary to pass. Passing is 9 or more
correct out of the 10 questions.
You need to pass this quiz before
5:00 pm on Friday, March 10.
3/6: Due 3/10
 Read Section 3.6 in MHH. (Note
that we skipped 3.5.)
 Do exercises 13, 15, 17, 19 from Section 3.6.
(These are your homework exercises.)
 After you have done the exercises above, on the other
side of the paper or on a separate piece of paper, do exercises 14, 16, 18, and
20. These should be viewed as a takehome quiz.
3/8: Due 3/20
 Read Section 4.3 in MHH. (Note
that we skipped 4.1 and 4.2.)
 Do exercises 1, 5, 7, 9, 1539 every fourth (15, 19,
..., 39) from Section 4.3. (These are your homework exercises.)
 After you have done the exercises above, on the other
side of the paper or on a separate piece of paper, do exercises 6, 16, 26, 34,
38. These should be viewed as a takehome quiz.
3/10: Due 3/22
 Read Section 4.4 in MHH.
For all of the homework for this section,
check for commutativity, an identity element, and inverses. You do not
need to check for associativity.
 Do exercises 19 odd from Section 4.4. (These are
your homework exercises.)
 After you have done the exercises above, on the other
side of the paper or on a separate piece of paper, do exercises 2, 4, and 8.
These should be viewed as a takehome quiz.
Have a Great Break!
Week 7
3/20: Due 3/24
Today's handout on groups (same as 3/10 handout)
 Read Section 4.5 in MHH.
 Do exercises 117 odd from section 4.5. For
each of these, do not check the associative property. If any of these
fails to be associative, it also fails something else.
 After you have done the exercises above, on the other
side of the paper or on a separate piece of paper, do exercises 6, 10, and 18.
These should be viewed as a takehome quiz.
3/22: Due 3/27 NOTE THAT TODAY'S ASSIGNMENT IS FROM
SECTION 4.5.
 Reread Section 4.5 in MHH.
 Do exercises 2133 odd from section 4.5. For each
of these, do not check the associative property. If any of these fails to
be associative, it also fails something else.
 After you have done the exercises above, on the other
side of the paper or on a separate piece of paper, do exercises 22, 24, 26, 30,
34.
These should be viewed as a takehome quiz.
 NOTE THAT THE MATERIAL FROM 5.1 HAS BEEN MOVED!
IT IS NOW DUE ON 3/29!
3/24: Due 3/29
 Read Section 5.1 in MHH.
 Do exercises 123 odd, 27, 29, 3135 odd, 4753
odd, from section 5.1.
 After you have done the exercises above, on the other
side of the paper or on a separate piece of paper, do exercises 16, 24, 32, 48.
These should be viewed as a takehome quiz.
 Skim Section 5.2. It is full of
interesting number theory questions. There is no written assignment from
this section, but it tells you a bit about some interesting questions in number
theory.
A few notes:
 Way too many of you seem to be having trouble organizing your
homework assignments. To help you, I have included
an assignment log. When I make as assignment, write it in the log,
along with the due date.
 Also, start homework assignments when they are assigned, not the
night before they are due. If you do this, you have time to stop by my
office for help on any questions you couldn't get from your class notes and the
reading. You can also stop by for help on the evens that you couldn't get,
even though you were able to do the odd numbered equivalent exercise.
Week 8
3/27: Due 3/31
 Read Section 5.3 in MHH.
 Do exercises 11, 13, 15, 23, 25, 27, 43, 45, 47,
57, 59 from section 5.3.
 After you have done the exercises above, on the other
side of the paper or on a separate piece of paper, do exercises 12, 26, 46, 58.
These should be viewed as a takehome quiz.
Your first writing assignment
is given today.
3/29: Today's thought problem
Today's other thought problem: Can a parent be twice
as old as his or her child for a second time? Why or why not?
No additional problems assigned today.
3/31: Due 4/5
 Read Section 5.4 in MHH.
 Do exercises 917 all, 2539 odd, 47 from section
5.4.
 After you have done the exercises above, on the other
side of the paper or on a separate piece of paper, do exercises 34, 38, 46.
These should be viewed as a takehome quiz.
Week 9
4/3: Due 4/7 Today's Thought Problem
 Read Section 11.1 in MHH.
 Do exercises 1, 3, 5, 923 odd, 49, 53,
59, 61, 67 from section 11.1.
 After you have done the exercises above, on the other
side of the paper or on a separate piece of paper, do exercises 2, 6, 14, 24,
58.
These should be viewed as a takehome quiz.
4/5: Due 4/19
 Read Section 11.2 in MHH.
 Do exercises 523 odd, 25, 29, 31, 33, 3947
odd, 53, 55 from section 11.2.
 After you have done the exercises above, on the other
side of the paper or on a separate piece of paper, do exercises 12, 22, 34, 46,
54, 56.
These should be viewed as a takehome quiz.
4/7: Due 4/24
 Read Section 12.1 in MHH.
 Do exercises 113 odd from section 12.1.
 After you have done the exercises above, on the other
side of the paper or on a separate piece of paper, do exercises 2, 6, 8, 12.
These should be viewed as a takehome quiz.
Week 10
4/10: Study for the exam.
4/12: Exam
2 over the material from 2/224/7.
4/14: Easter Recess  No class
Week 11
4/17:
Easter Recess  No Class
4/19: Due 4/26
 Revise your writing assignments.
Final copies are due on 4/26.
 Read Section 11.3 in MHH.
 Do exercises 19 odd, 15, 17, 19, 25, 27, 31,
33, 37, 45, 49 from section 11.3.
 After you have done the exercises above, on the other
side of the paper or on a separate piece of paper, do exercises 4, 6, 8, 16,
24, 42.
These should be viewed as a takehome quiz.
4/21: Class cancelled due to a conference.
Week 12
4/24: Due 4/28
Beginning today, no late homework will be accepted
unless you have excused yourself before class starts, or if you had an
emergency. Exceptions will be evaluated on a casebycase bases.
To review for the final: This week, begin
reviewing Chapters 1 and 2. Scroll up to see the assignments from those
chapters. Rework the homework and ask any questions you have, either in
office hours or at the beginning of class.
 Read Section 11.4 in MHH.
 Do exercises 1, 3, 5, 9, 11, 13, 15, 29 (for
some reason, part c is listed twice) from section 11.4.
 After you have done the exercises above, on the other
side of the paper or on a separate piece of paper, do exercises 4, 10, 12, 14.
These should be viewed as a takehome quiz.
4/26: Due 5/1
 Read Section 12.2 in MHH.
 Do exercises 1, 519 odd, 23, 27, 33 from section 12.2.
 After you have done the exercises above, on the other
side of the paper or on a separate piece of paper, do exercises 6, 12, 14, 18,
28.
These should be viewed as a takehome quiz.
4/28: Due 5/3
 Read Section 12.3 in MHH.
 Do exercises 1, 521 odd, 29 (we did exercise 28
in class, so use either the exercise or your notes), 31, 37, 39 from section 12.3.
 After you have done the exercises above, on the other
side of the paper or on a separate piece of paper, do exercises 2, 12, 16, 22,
30.
These should be viewed as a takehome quiz.
Week 13
5/1: This homework will not be collected.
To review for the final: This week, begin reviewing
Chapters 3 and 4. Scroll up to see the assignments from those chapters.
Rework the homework, review the first exam, and ask any questions you have.
 Read Section 12.4 in MHH.
 Do exercises 19 odd, 21, 23, 25, 27, 33, 35 from section 12.4.
5/3: No additional assignment today.
5/5: This homework will not be collected.
 Read Section 12.5 in MHH.
 Do exercises 311 odd from section 12.5.
Week 14
5/8: This homework will not be collected.
To review for the final: This week, begin reviewing
Chapters 5 and 11. Scroll up to see the assignments from those chapters.
Rework the homework, review the second exam, and ask any questions you have.
5/10: Review for Exam 3.
5/12: Exam 3 over the material covered from 4/195/8.
Finals
Our third exam is Monday, May 15, at 8 am.
It is a cumulative final, meaning that it covers the entire course.
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