Jan. 16 | Jan. 23 | Jan. 30 | Feb. 6 | Feb. 13 | Feb. 20 | Feb. 27 | Mar. 5 | Mar. 12 | Mar. 19 | Apr. 2 | Apr. 9 | Apr. 16 | Apr. 23 | Apr. 30

Final Exam

- Jan. 16:

- Get a three-ring binder for the class text handouts
- Get a journaling composition notebook (the cheap kind) in bookstore, size approx. 7.5" x 10": DO NOT get a 8.5"x11" notebook
- Read Introduction and Section 1.1 in the text
- Write a Strategy Guide to STIX II, due in class on Wednesday.

- The assignment details are on pp. vii-viii of the text.

- NOTE I'd like it typed and double-spaced, back-to-back printing preferred to save paper.
- For three (3) extra credit points, you can take the STIX EF
challenge:

- Come to my office on or before the afternoon of Monday, Jan. 23.
- We play STIX EF (rules in text).

- I will pick a number 50 or below for the starting number of sticks, you get to choose who plays first.
- You may use scratch paper, but no notes.
- Beat me in two games out of three to get the three points.

- Jan. 18:
- The Daily Journaling Assignment starts today
- Read the syllabus, and bring to class on Friday several (~5) things that YOU think a student would want to know from the syllabus (or, if you prefer, several things a student would regret not knowing). There will be some sort of quiz, with points.
- Read sections 1.2 and 1.3 in the text, and do problems from section 1.1, #1-6.
- Note the extra credit opportunity: be
the first to report typos in the text, and get points

- Jan. 20:
- Rewrite the STIX II Strategy Guide. Turn in the rewrite stapled to your first draft, on Wed. Jan. 25.
- Read chapter 1.4
- Do 1.2 #1b,d,e,f,g,j and 1.3 #1,2b-f, 3

- Jan. 23: Read 1.5; Do 1.3 #5adefg and 1.4 #1-3, 4abdfgj, 5,6,7

- Jan. 25: Read 1.6; Do 1.5 #1-4,6,8,9
**(Turn in STIX II rewrite)**

- Jan. 27: Read 1.7; Do 1.6 #1-5,7,9,10,11,13,14

- Jan. 30: Read 2.1; Do 1.7#1-5,8,9,10,11,14

- Feb. 1: Read 2.2; Do 2.1 #1-5,8ab,9,11

- Feb. 3: Read 3.1; Do 2.1 #13, 2.2 #1-3, 10,13-15,
18bc Extra Credit: Do either or both of 2.2 #8,9 and turn
in on Monday

- Feb. 6:
**Quiz 1;**Read 3.2, Do 3.1 #1-4,6-9,18

- Feb. 8: Read 3.3, Do 3.1 #10-12,14,17 and 3.2 #1,2,4

- Feb. 10: Re-read 3.3. Do 3.2 #5,7 and 3.3 #1,5,6

Extra Credit: Find two positive integers

(or with

algorithm used on

Describe how you found

generalized for other numbers in place of 100. If you want to

turn this in, do so at or before our exam.

- Feb. 13: Do 3.3 #1,4-7

- Feb. 15:
**Exam 1**

- Feb. 17:

- Read 3.4-3.5.
- 1) Prove: If
*a,b,q*are integers,*a*|*bq*and gcd(*a,b*)=1 then*a*|*q*. - 2) Prove: If
*a,b,n*are integers,*a*|*n*,*b*|*n*, and gcd(*a,b*)=1 then*ab*|*n*. - Do 3.4 #1,2,4ad

- Feb. 20: Do 3.5 #1-4.

- Feb. 22:
**Turn in: Journals (if it's your turn) and homework from chapters 3.3-3.4** - Do: Chapter 4 #1,2,3,6,7

- Feb. 24: Do Chapter 4 #4,10abcel (that last one is an
"ell"). Hint for Binet's formula: Compute
^{2}and show^{2}=+1, same for capitol .

- Feb. 27: Read 5.1, 5.2. Do 5.1 #1-5,7,10,11,16

- Feb. 29: Do 5.1 #12,17,18 and 5.2 #1,2,4a,8,9,10

- Mar. 2:
**Quiz 2**.**Turn in: Homework assigned 2/20-2/27, inclusive**

Download and install LaTeX software on your computer, and get it running (see handouts page.)

(Note WinEdt is installed on all the Ford computers; you can use that if you wish).

- Mar. 5: Read 5.3; do 5.2 #5,6,11,16 and 5.3 #3
**Turn in***one*of these, your choice, in LaTeX, on Wednesday.

- Mar. 7: Prove: If
*AB*and*C**D*, then*AC**B**D*, and do 5.3 #4,5,6 Read 5.4, and start looking at 5.4 #2a

- Mar. 9:

- Mar. 12:

- Read 6.1, 6.2.

- Do 5.4 #1,2a,b,c,e
- Do 6.1 #1-4,6,7abc
- Do 6.2 #1-3

- Mar. 14:
**Quiz 3**;

- Read 6.3
- Do 6.2 #4-7,12
**For Friday: Turn in the following problems; at least three must be TeX'ed.**- 5.2 #2,6 5.3#3, 5.4#2a, 6.1#7c, 6.2#1

- Mar. 16: Read 6.3, 6.4 (you can skim in 6.3 about ordered pairs, roughly mid p. 196 to p. 199)
- Do 6.2 #10, 6.3 #2,3,4,5a,6 (see def.s 6.27 and 6.29)

- Mar. 19:

- Homework: 6.3 #9,10abc
- Optional: Turn in on Wednesday, in TeX; (these are both
old HW problems)

(These are good problems to study in any case)

- Prove if
*f*:*AB*and*g*:*BC*are both injective, then*gf*is injective. - Prove if
*f*:*AB*and*g*:*BC*are both surjective, then*gf*is surjective. - Optional:
Rewrite up to two (more) problems from the HW set returned today, and
turn them in on Wed. along with the original (so I can see how much
credit you got the first time).

- Mar. 21:
**Exam 2**

- Mar. 23:
**Film viewing (with paper assignment)**

Spring Break Mar. 26 - 30

- Apr. 2: Work on your paper, due Thursday.
- Also, consider the relation ~ on -{1}
[That's with
"1" removed] given by:
*m*~*n*if the smallest prime factor of*m*equals the smallest prime factor of*n*. - Show that this is an equivalence relation
- List at least four elements of [35], the equivalence class of
35 (the equivalence class is with respect to the relation above).

- Find the four smallest elements of [7].
- Prove that if
*p*is prime, the least element of [*p*] is*p*, and the next-least element of [*p*] is*p*^{2}. - Apr. 4: Do 6.4 #1-6,8,9 and read 7.1

- Apr. 6: Do 6.4 #10,13. Note: It is critically
important in these problems that you recognize that the
*f*and*f*^{-1}refer to images and inverse images, not functions and function inverses.

- Apr. 9: Read 7.1, do 7.1 #1-5,8 PS - I guess I owe Sébastien Turgot an apology. Here's the photo finish for second place; Sébastien is in green. The picture (spokes) look odd because of the way the photo is taken.

- Apr. 11:

- Read 7.2.

- Do: Prove that if
*A*is a countable set and*x*_{o}*A*, then*A*{*x*_{o}} is countable. Hint: The hotel is full, and someone arrives at the desk. - Do: 7.2 #2
**Turn in on Friday: 6.2 #4,6, The problem assigned on April 2, parts 1&4, 6.4 # 6,9a,10, and 7.1 #4 (all previously assigned) PS - at least five (preferably all) in LaTeX.**

- For fun: Welcome to the Hotel Infinity! (Here's a slide illustrating the room assignments of all those tour-bus passengers near the end)
- Apr. 13:

- Read 7.3.

- Do 7.2 #4 (Use prior exercises as noted, but you don't have to
*do*the prior exercises),

- Do 7.3 #1-4,7

- Apr. 16:

- Read 8.1, do 8.1 #1a-i,2,6,8a-d,10a,c,d
- By Tuesday, pick up 8.2 at my office door, then read it
- Do 8.2 #1a-f,2,10,11a,c,e

- Apr. 18:
**Student Scholarship Recognition Day (class does not meet)**

- Apr. 20:

- Read 8.3 & 8.4 (The idea we'll use in 8.3 is the definition of a
*tail end*, we won't be discussing*subsequences*in general. However, examples 8.18-8.21 really pertain to 8.4, so read 'em) - Do 8.2 #5abc (see example 8.11) and 7abc (see example 8.12)
- Do 8.3 #2,3 (definitely read ex 8.21 first!) 4,5

- Apr. 23: Read 8.5, Do 8.4 #4a-e, 5ab, 2,6 (in that order)

- Apr. 25: Do 8.4 #7,8 8.5 #4,5,8,10,

- Apr. 27:
**Quiz 4; Turn in today: 7.2 #4, 7.3 #3, 8.1 #2, 8.2 #1d,f, 10 8.4 #4c,5b, 8.5 #8**

- Apr. 30 (Last day of class)

- Monday, May 7, 8-11 a.m..
**Final Exam**

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