MATH 2602 Homework #1-#2
Due Wednesday Aug 21 - Sep 24, covering the material of Exam 1 on Jan 28
- Homework 1 - Due Jan 14
- Core : Book problems: Section 0.1 on page 8-10 problems 3b, 4b, 5b, 6b, 7d.
Section 0.2 on page 16 problems 3d, 6, 7, 13.
Section 1.1 on page 23 problems 1b, 2a, 4.
Section 1.3 on page 34-35 problems 3b, 5j.
Section 2.1 on page 42-43 problems 1a, 1e, 5b, 5c, 5e, 9.
Section 2.2 on page 49-50 problems 8, 20.
Also,
- A1: Write down the negation of the following statements. Do not write "it is not the case that" and be clear and concise in your answer.
- If we live at the same house, then we will take the same bus from school.
- Either the sum of three numbers is zero or one of the numbers is not zero.
- The sum of positive numbers is positive and zero is positive.
- A2: Write the implication in "if-then" form. Give an assignment of T=true or F=false to each of the supposition and conclusion of the implication and say whether the implication is true or false in this case. Now find an assignment of T or F which makes the implication the other truth-value (so that you have one assignment which makes the implication true and one that makes it false).
- We rode on the same bus because we live at the same house.
- I didn't break the law because I'm not childish and stupid.
- Supplementary
1) Construct a truth table for the following compound statements and conclude whether or not they are logically equivalent.
2) Give a proof that the two statements are equivalent.
- Homework 2 - Due Jan 21
- Core : Book problems: Section 2.3 on page 56 problems 3a, 3b, 3d, 5b, 5f, 10a, 10b.
Section 2.4 on page 63 problems 2b, 5a, 5b, 7.
Section 3.1 on page 78-79 problems 4, 13, 28.
Section 3.2 on page 86 problems 2, 5, 22, 23.
- Supplementary
- Homework 3 - Due Jan 28
- Core : Book problems: Section 4.1 on page 104 problem 4a.
Section 4.2 on page 113 problem 12d. (Section 4.2 NOT covered on Exam 1)
Chapter 0 review on page 17-18 problems 1, 2b, 3a, 4ac, 13.
Chapter 1 review on page 36-37 problems 3ab, 4, 6a, 8c.
Chapter 2 review on page 70-71 problems 2b, 4, 6bi, 13, 16a, 17.
Chapter 3 review on page 96-97 problem 14.
- Supplementary