18.014 | Fall 2010 | Undergraduate

# Calculus with Theory

## Recitations

The Recitations are from the course textbook:

Apostol, Tom M. Calculus, Volume 1: One-Variable Calculus, with An Introduction to Linear Algebra. Waltham, Mass: Blaisdell, 1967. ISBN: 9780471000051.

REC # ASSIGNMENTS
1 Pg 16: 10, 15, 18
2 Pg 18: prove Th’m I.9, I.10; pg 19: 4
3 Prove Th’m I.24; pp 35-36: 1a,11; pg 40: 6, 11
4 A.9:3; pg 28: 3; pg 43: 1achi
5 Pg 57: 9abc, 11; pg 63:1ab, 4a
6 Pg 70: 1bcde, 2,3; prove theorem 1.2
7 Pg 70: 4,10; prove theorem 1.5
8 Pg 83: 24; prove theorem 1.6
9 Pg 84: 25; course notes: E.3:1
10

(1) Using an argument involving ε, δ, show that f(x) = 1/x is continuous at x = 2. (For any ε, find a δ that will suffice. You can expect that δ will depend on both ε and the fact that you are doing this near x = 2.)

(2) Be prepared to present problems from the practice exam.

11 Page 138: 1-7 (they’re short!); notes F.2:2
12 Page 138: 5,12; page 142:12; page 145:1
13 Page 149: 6,8; course notes H.9:5
14 Course notes H.9:6,7
15 Page 167: 2,10,38; page 174:15
16 Page 179:2, 11, 16, 20
17 Page 186:2,7; page 191:3
18 Notes K.8:3, page 209:21,22
19 Page 208:16, notes L.6:1,4
20 Page 236:3,7,14; page 248:9,28
21 Take the practice exam
22 Page 216: 3, 11; page 220:1; integrate ∫xn log x dx for each n ϵ Z using IBP or substitution.
23 Page 256:1,2,26
24 Page 267: 12, 13, 34
25 Page 268:6, 7; page 270:27
26 Note O.10:1
27 Page 291:14; page 295:5, 12; page 303:6,22
28 Page 382:16-18; page 391:1-4
29 Complete practice exam 3
30 Page 399:9, 18
31 Page 398:7,8; page 402:4,6

## Course Info

Fall 2010
##### Learning Resource Types
Problem Sets with Solutions
Exams with Solutions
Lecture Notes