Math141HW1A

# Math141HW1A - MATH 141 HW INSTRUCTIONS: FALL 2011 KUNIYUKI...

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MATH 141 HW INSTRUCTIONS: FALL 2011 – KUNIYUKI • You do not have to do any problems indicated as “ ADDITIONAL PROBLEMS .” Write your name and Math 141 in the upper right-hand corner of the first sheet (or on a cover sheet). If you turn in more than one packet, put your name on each one. Clearly separate sections! • The sections are keyed to my online notes , not to a textbook. Show work where appropriate, and use “good form and procedure,” as in class! Each HW assignment is due at the corresponding exam. • Remember that you learn by thinking about problems, not by just going straight to the answers! You do not have to rewrite the questions , though copy down expressions, equations, etc. that you are “working on.” This will help you when you study. • You may want to (neatly) write comments and mark problems you have trouble with. The HW is a tool to help you! • The HW will be scanned for completeness and for honest effort. It will not be graded rigorously. Again, the HW is a tool to help you! It may inspire exam problems . Also, … • Feel free to ask me questions about the HW (or anything else) – in office hours, by email (or phone), or during the in-class HW sessions we will have; I usually take questions during part of the class session before an exam. Tell me your thought process! Don’t just give me a list of numbers. • Feel free to email / tell me about corrections and suggestions . I’m always trying to improve these materials.

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(Exercises for Chapter 0: Preliminary Topics) E.0.1 CHAPTER 0: Preliminary Topics (A) means “refer to Part A,” (B) means “refer to Part B,” etc. (Calculator) means “use a calculator.” Otherwise, do not use a calculator. SECTION 0.1: SETS OF NUMBERS 1) Which of the following numbers are integers? Rational numbers? Real numbers? (B) ± ± 12 5 7 7.13 2) Rewrite ± 12 ² ± in plain English. Is this statement true or false? (B, C) 3) Rewrite ² ± in plain English. Is this statement true or false? (B, C) 4) What do the symbols ± , ± , and ± denote? (C) 5) Fill out the table below so that each row describes a particular set of real numbers. (E) Set-builder Form Graphical Form Interval Form ± 1, 2 ( ² ³ x ± ± x < 0 {} 6) The set ± \ ± 2 is written in set-difference form. Write the set in set-builder form, graphical form, and interval form. (E) 7) Simplify: a) ±² ,4 ( ³ ´ µ 2, ² () . b) 3, 7 [ ) ± 4, 9 ( ] . (E) 8) ADDITIONAL PROBLEM. (Russell’s Paradox). Let T = sets SS ± S . We say that T is not a well-defined set. Explain why the definition of T is paradoxical.
(Exercises for Chapter 0: Preliminary Topics) E.0.2 SECTION 0.2: LOGIC 1) Consider the following (true) “if-then” statement: If Arnold is a Californian, then Arnold is an American. (B, D) a) Write the converse of this statement. Is it true or false? If it is false, give a counterexample.

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## This note was uploaded on 09/08/2011 for the course MATH 141 taught by Professor Staff during the Fall '11 term at Mesa CC.

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Math141HW1A - MATH 141 HW INSTRUCTIONS: FALL 2011 KUNIYUKI...

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