Homework 1, C&D

Due monday July 11

I'm really sorry Alejandro! This is a long homework, but also an easy one.

Exercise 1

limits: Solve exercises 6, 10, 24 and 32 of section 2.2 in E&P, pp. 73. Solve problems 4, 10, 18, 26 and 28 of E&P section 2.3 pp. 85.

Exercise 2

Continuity: Solve exercises 38, 40, 48 and 50 of E&P section 2.4 pp. 97. Try with exercise 66 on the next page.

Exercise 3

Differentiation: Solve exercises 38 and 40 of E&P section 3.1 pp 113. Solve ex. 46 in page 114. Solve ex. 56 in page 124.

Exercise 4

Chain Rule. Solve exercises 50 and 52 in page 133, section 3.3

Exercise 5

Solve exercise 66 and 70 in page 141, section 3.4

Exercise 6

Maxima and Minima: Solve exercises 12, 14 and 36 in section 3.6 of E&P, pages 160-162

Exercise 7

Solve problems 74 and 76 of section 3.7 pages 173 and 174. Try also exercise 82.

Exercise 8

Epistemology: The notion of "Area" came much before in history than the notion of "Tangent" or "Slope" (about two thousand years, the greeks knew the former, whereas Newton and Leibniz invented the later), why do we study derivatives before integrals?.

Well guys, this should cover the first week of class, hopefully we'll do some examples of implicit differentiation and related rates.... I guess you'll have those exercises next week. For those of you who feel the need for more chalenging problems or have problems sleeping at night: send me an e-mail and I guarantee that I'll send you a couple of exercises that'll make you sleep like a baby (you may have nightmares though!).

Reimundo Heluani