Homework02

Homework

Homework 1, due April 4

1. Read 1.1 and 1.2 in the textbook.

2. Hand in a description (at least one page) of your previous experiences in mathematics, including courses you have taken or are taking at DePaul or other colleges, what you have especially liked and especially disliked (if anything), and your reaction to "proofs". Include also why you are taking this course, and what your career plans are.

Homework 2, due April 11

1. Read Sections 1.1, 1.2, 1.5, p. 41-49, and 2.1-2.4.

2. Hand in the following exercises:

p. 14-17 1.2.1; 1.2.2; 1.2.4; 1.2.6; 1.2.8; 1.2.12 1-3; 1.2.13 1-4.

p. 51-53 1.5.2; 1.5.3; 1.5.5; 1.5.6 1,2,3,6,8,9; 1.5.8.

Homework 3, due April 18

Hand in the following exercises. Please do Part I and Part II on different pages so they can be handed in separately.

Part I

p. 29-30 1.3.10, 1-5; 1.3.11, 1-4, 6; p. 63 2.1.1, 1-2; p 67 2.2.5, 1

Part II

p. 67 2.2.2, 2.2.4, 2.2.6

Homework 4, due April 25

Read sections 2.5 and 2.6 in the book.

Hand in the following exercises. Please do Part I and Part II on different pages so they can be handed in separately.

Part I

p. 29 1.3.8, 1-2; 1.3.9; p. 91, 2.5.4

Part II

p. 74 2.3.2, 2.3.3; 2.3.7; p. 79-80 2.4.3 1, 2 (i) and (ii)

Homework 5, due May 9

Read Sections 3.1-3.3 in the book.

Hand in the following exercises. Please do Part I and Part II on different pages so they can be handed in separately.

Part I

p. 116-119 3.2.1, 3.2.2, 3.2.4, 3.2.7, 3.2.15; p. 127-128 3.3.1, 3.3.3, 3.3.4

Part II

p. 118 3.2.13; p. 127-128 3.3.6 (Prove only part v., the second part: the second distributive law), 3.3.7, only part vi, 3.3.13, 3.3.17

Homework 6, due May 16

Read the handout on functions.

Hand in the following exercises. Please do Part I and Part II on different pages so they can be handed in separately.

Part I

7.2, 7.4, 7.16, 7.17

Part II

7.8, 7.9, 7.13

Next Test: Thursday, May 23

Last homework, due June 4

Read 6.3, 6.1, 6.2, pages 218-221

Hand in the proofs by mathematical induction on the handout sheet.