MATH 4900 - Senior Seminar

Class Information:

  • The syllabus is here
  • Information on how the presentations and paper will be graded is here
  • Look at this paper or this paper to see how to organize your paper into sections, theorems, definitions, etc.  
    Or look at some of these papers.  
  • Our library has access to a digital copy of the textbook here (just log in using your GET account).

Groups:

  • Group 1 - Stephanie V, Jesus SM, Aide G
  • Group 2 - Tarek H, Monica MZ, Jacquelyn H, Nicole SA
  • Group 3 - Nhan N, Elizabeth C, Tania G, Joanna P
  • Group 4 - Gwen O, Manuel D, Jonathan S, Ernestina D
  • Group 5 - Martin N, Francisco A, Angel L, Mesinee T
  • Group 6 - Michael D, Ilnam J, Idalia M
  • Group 7 - Kevin H, Benjamin L, Jin Whan A
  • Group 8 - Joseph F, Angel A, Jonathan C, Andrew A

Exercises from book for final exam:

  • Problem set 1 (page 13) - 1(a,b,c,e), 2, 3, 4, 6
    My solutions are here.
  • Problem set 2 (page 19) - 1
    My solutions are here.
  • Problem set 3 (page 25) - 1, 2, 7
    My solutions are here.
  • Problem set 4 (page 28 ) - 1
    My solutions are here.
  • Problem set 6 (page 42) - 1
    My solutions are here.
  • Problem set 7 (page 44) - 1
    My solutions are here.
  • Problem set 8 (page 48) - 1,2
    My solutions are here.
  • Problem set 9 (page 59) - 1,2
    My solutions are here.
  • Problem set 10 (page 63) - 1
    My solutions are here.
  • Problem set 11 (page 76) - 1, 2, 3
    My solutions are here.
  • Problem set 14 (page 96) - 1, 2
    My solutions are here.
  • Problem set 15 (page 100) - 1, 2
    My solutions are here.
  • Problem set 16 (page 104) - 1, 2, 3
    My solutions are here.  

    [Note: There is a typo on problem 1.   In the sentence near the end it says "And alpha_1 = 4/7 - (1/7)*Sqrt(37)".  It should be alpha_1', that is the conjugate of alpha_1]
  • Problem set 17 (page 110) - 1, 2
    My solutions are here.
  • Problem set 18 (page 112) - 1
    My solutions are here.
  • Problem set 19 (page 118) - 1, 2
    (Note: Be able to find the solutions via the convergents as in my solutions.)
    My solutions are here.
  • Problem set 20 (page 121) - 1, 2
    My solutions are here.

TENTATIVE SCHEDULE
Week Tuesday Thursday
1

1/23

Intro to class

and start 1.2

Shaheen

1/25

1.2 and 1.3
and the division 
algorithm

Shaheen 

 

2

1/30

1.4 - Group 1
(skip the Euclidean
Algorithm stuff 
that starts on page 17,
that is, just cover up to
and including Theorem 1.2)

 

 

2/1

1.5 - Group 2

 

3

2/6

1.5 and with any
time remaining do
problem set 3 #1(a,c) and #2(a) 

- Group 2

 

2/8

1.6 and with any
time remaining
do problem set 4 #1  
- Group 3
 

4

2/13

2.3 - Group 4

 

2/15

2.3 and with
any time remaining
do some problems
from problem set #6
- Group 4

5

2/20

2.4 and some problems
from problem set 7 -

Group 5

 

2/22

2.5 and problem set 8 #1(a)

Note: In example 1
the book doesn't show 
where the solution
(x0,y0) = (4,3) comes from.
Show how this comes from
13/17 = [0,1,3,4]
 - 

Group 6

6

2/27

2.6 and problem set 8 #1(c,d).   
Also do 1(b) if time permits 

Note: Emphasize the summary
at the end of the section
which summarizes all of 
chapter 2
 - 

Group 7

3/1

2.7
Also do problem set 8 #2 if
time permits.

- Group 8

7

3/6

3.2 - Group 1

3/8

3.2 and with any
remaining time do
problem set 9 #1(a)
- Group 1

8

3/13

3.3 and problem set 9
#1(b,e) -
Group 2

3/15

3.4 and if any time is 
left you can
do problem set 10 #1 -

Group 3

9

3/20

3.5 - Group 4

 

ROUGH DRAFT OF

PAPER IS DUE

3/22

3.6 - Group 5

Spring

Break

3/27

HOLIDAY!

 

3/29

HOLIDAY!

 

10

4/3

3.7 - Group 6

4/5

3.7 - Group 6

11

4/10

3.11 - Group 7

4/12

Do the following exercises:
problem set 11 #1,2
problem set 9 #4

if there is time left do problem
set 9 #1c
-

Group 8

12

4/17

4.2 - Shaheen

 

4/19

4.3 - Shaheen

13

4/24

4.4 - Shaheen

 

4/26

4.5 - Shaheen

14

5/1

4.6 - Shaheen

5/3

4.7 - Shaheen

15

5/8

4.8 and 4.9 - Shaheen

5/10

4.9 - Shaheen
 

Finals
week

5/15

FINAL EXAM
12-2PM