Wednesday, May 7, 2008

Assignments related to Test 1

Assignment 1

Section 1.1/ from your notes besure you can answer the questions 1-8

Seperately under the Label "Assignment 1" do the following problems/ 11-14 (special instructions below:

on #13 how are they getting the next row? Describe.
What patternes are readily apparent in the triangle?
Add up each individual line of the triangle and tell me what pattern you observe.
Add up the sum of all the numbers for the 1 layer triangle, the two layer triangle, the three and the four layered trinagles and tell me about your observations.

continuing... 15, 18, 19-28 (additionally tell me what kind of sequence is represented), 30, 31, 32, 36, 39 (see example 6), 40, 50 (if you can find a protacter this weekend), 51

Additionally try to show two of the following:
1. The square of an even number is an even also even
2. The product of an odd with an even is an even ( a product mathematically is result of multiplying)
3. The difference between and odd and an odd is always even.
4. An odd times itself is also odd.


Assignment 2

Section 2.1/ be sure you can answer the following from your notes: questions 1-12

Seperately on a sheet labeled "Assignment 2" Answer the following:

13-24 (also on 19-24 which of the sets described are well defined?), 26, 27 (use an ellipsis), 28-30, 33, 39-42, 43-47, 50, 51-55 (pick three), 56, 59-62 (pick two), 67-74, 75, 79, 84, 85 and 86

Assignment 3

In your notes prepare all the definitions and related examples in sections 2.2 and 2.3
In Section 2.2 be sure you can answer questions 1-6 from your notes and 1-14 from section 2.3.
We will discuss these on Monday and credit will be from the evidence of your notes and the partcipation in the discussion.

Assignment 4

Section 2.2/ 7-24 (all), 26-36(evens), 37-51(all), 56,58

Assignment 5

Section 2.3/ 6-14, 15, 21-31(odd),49-58(all),69-75(odd),77, 79, 97, 98, 102

Assignment 6

Section 2.3/113-126
Section 2.4/1-6, 8, 10, 13, 47-59(odd), 61-77(every fourth)
Read the section on page 74-75 subheading "Verification of Equalities of Sets" Answer my question: How does one go about showing with deductive reasoning that two set statements are equivalent for all sets?

Assignments 7

Section 2.5/ 2-14 even and 16 for you crazies

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