Math 111: Math for Elementary Teachers I

MWF 1:30--2:20pm in Keller 401

Exam 1: Friday, Oct. 2 (practice problems are here).
Exam 2: Wednesday, Nov. 4 (practice problems are here).

Practice problems for the final exam (Fri., Dec. 18 @ 2:15pm) are here.

Here's the course syllabus. And here are three major objectives of this course:
• Learn how to learn on your own.
• Practice communicating with brevity and clarity.
• Develop rock-solid reasoning.

Our final exam will be Friday, December 18 from 2:15--4:15.  By enrolling in this course, you implicitly agree to take the exam at the scheduled time; if you have a conflict and can't make it, you should drop now.

Homework:
1. Questions 1.1 and 1.2 from the course notes, emailed to me by 6am on Wednesday Aug. 26.
2. Bring the answer to 1.6 to class on Friday, Aug. 28.  Also, read the rest of section 1.1.2 (up through "Joining Lists" on page 9).
3. Email me the answer to Question 1.9 by 6am on Monday, Aug. 31. Also, redo Question 1.1 and bring it to class on Monday (I'll grade it carefully this time).
4. You'll find HW4 here. Also, read section 1.2.1 (stop at the "Does Grouping Matter?" section).
5. Email me the answers to 1.15,1.16,1.17 and 1.18 by 6am on Friday, Sept. 4
6. Email me the answer to 1.19 by 6am on Wednesday, Sept. 9
7. Email me the answer to 1.20 by 6am on Friday, Sept. 11. Also, do the first sentence of 1.21 and bring the results to Friday's class so you can compare with others.
8. Write up the answers to 1.20 and 1.21 and bring them to class Monday, Sept. 14. (Warning: I will grade this one carefully.)
9. Email me the answers to 1.24 and 1.25 by 6am on Wednesday, Sept. 16
10. Email me the answer to 1.27 by 6am on Friday, Sept. 18 (you need not show me all the examples you looked at, just state what it would mean for joining to be associative, say whether or not it is, and explain your reasoning). Then, over the weekend, do questions 1.28 and 1.29 and email me the answers by 6am on Monday, Sept. 21
11. Read pages 30 and 31, then email me the answers to 1.31 and 1.32 (minus the "What are your answers based on?" part) by 6am on Wednesday, Sept. 23. (This one will be graded -- you should spend more than 30 minutes on it!)
12. HW12 is here, I'll collect it in class on Friday, Sept. 25.
13. First, look at enough examples to figure out what the identity elevator program is (under the operation of concatenation). Second, consider all the examples we've been looking at -- breeding, concatenation, joining, mixing, addition, etc. -- and answer parts 1,4,5 and 7 of question 1.38 (this will be graded). Bring your answers to class Monday, Sept. 28
14. HW 14 is here, I'll collect it in class on Friday, Oct. 9. Remember that you can define the operations however you like, so make your life easier and keep the definitions as simple as possible.
15. Do problems 2.5 and 2.6 out of your book and bring them to class on Monday, October 12. (For problem 2.6 remember that "amalgamation" in your book means "product" as we talked about in class. That is, question 2.6 is asking whether "product" defines an operation on the set of all lists.)
16. Let X be the set of all colors. Define three operations on this set: one that's not commutative; one that's associative; and one for which the color magenta is an identity. Also, tell me whether x#y = (x,y) for all x and y in X (i.e., # takes two colors and sends them to the corresponding ordered pair) defines an operation on X. Justify all your answers and bring them to class Wedesday, October 14
17. Read this.  Then ask yourself the following questions: (i) Which of the 10 points do I understand, and which ones are still unclear? (ii) Which of the 10 points am I already good at, and which ones do I need to work on? Write down your answers and bring them to class Friday, October 16. Also, answer these questions. (Graded.)
18. HW 18 is here. It's due Monday, October 19. (Graded.)
19. HW 19 is here. It's due Wednesday, Oct. 21. (Graded.)
20. HW 20 is here. It's due Friday, Oct. 23. (Graded.)
21. HW 21 is here. It's due Monday, Oct. 26. (Graded.)
22. HW 22 is here. It's due Wenesday, Oct. 28
23. HW 23 is here. It's due Friday, Oct. 30
24. HW 24 is here. It's due Friday, Nov. 13. (Graded.)
25. HW 25 is here. It's due Monday, Nov. 16. (Graded.)
26. HW 26 is here. It's due Wednesday, Nov. 18. (Graded.)
27. HW 27 is here. It's due Friday, Nov. 20. (Graded.)
28. On Monday, Nov. 23, turn in problems 3.33, 3.36 and the first part of 3.37 from pg. 74-75 in your book. (Graded.)
29. On Wednesday, Nov. 25, turn in problems 3.38, 3.39, 3.41 and 3.42 from your book. (Graded.)
30. On Monday, Nov. 30, turn in problems 3.45 and 3.46. (Graded.)
31. On Wednesday, Dec. 2, turn in problems 3.49 and 3.50. (Hint: the answer to part 1 of 3.49 is "A \union B".) (Graded.)
32. On Friday, Dec. 4, turn in problems 3.52 and 3.54. (Graded.)
33. Do problems 3.59, 3.60, 3.61 and 3.62.  I won't collect them, but if you have questions, we'll talk about them on Monday, Dec. 7. Also, start working on the review problems (link above); we'll spend most of Monday, and all of Wednesday reviewing -- so bring your questions!