2008 February 15 / E-Mail Me

# Schedule

Introduction To Calculus, Carleton College Math 111, Winter 2008, Prof. Joshua R. Davis

We largely follow the textbook (Stewart, Calculus: Early Transcendentals, 6th edition), but we mix the content of the applications sections (3.7, 3.8, 3.9, 4.7, 8.4, 8.5, etc.) into the rest.

• * indicates a question that benefits from a calculator or computer; do the others by hand, if you can.
• ^ indicates a typographical error. In 2.5 #42, change "2 < x < 3" to "2 <= x < 3".

1F
1/4
introduction, functions1.1, 1.21.1: #2, 10, 16, 20, 24, 26, 28, 36, 42, 46, 48, 52, 54, 64
1.2: #2, 4, 8, 10, 16, 20, 26*
4
2M
1/7
more functions1.5, 1.6 (omit Inverse Trig)1.5: #16b, 18, 22*
1.6: #14, 18, 22, 26, 30, 36, 46, 50, 58
4
3W
1/9
operations on functions, tangent lines, velocities1.3, 2.11.3: #2, 4, 10, 12, 28, 34, 44, 54, 56, 66
1.5: #8, 12, 14
1.6: #46
2.1: #2, 4, 6, 8
7
4F
1/11
limits2.22.2: #6, 10, 12, 16, 24*, 28*, 36*, 407
5M
1/14
limit laws2.32.3: #2, 4, 10, 20, 22, 26, 28, 36, 52, 58, 627
6W
1/16
continuity, derivatives2.5, 2.72.5: #6, 10, 22, 40, 42^, 44, 48, 64c, 65
2.7: #8, 12, 14, 20, 30, 32, 38, 42ab*, 46, 48, 50, 52
10
7F
1/18
derivative as function2.8, 3.7 (omit Ex. 6)2.8: #2, 8, 12, 20, 32a, 34*, 44, 48a, 56
3.7: #6, 12a, 16ab
10
8M
1/21
basic differentiation rules3.1, 3.23.1: #4, 8, 12, 15, 24, 30, 36, 42*, 50*, 54, 64, 72, 76a
3.2: #2, 6, 10, 18, 26, 34, 46, 48a, 50a, 54, 56
10
9W
1/23
exponential growth, decay, cooling3.83.8: #4, 7, 16
3.4: #86*
13
10F
1/25
trigonometryAppendix D, 3.33.3: #2, 10, 16, 20, 24, 28a, 34, 36, 38*, 40, 44, 48, 5013
11M
1/28
chain rule, related rates3.4, 3.93.4 #8, 14, 20, 48, 62, 66, 76, 82*, 84
3.9 #2, 12, 24, 32, 34, 40
13
12W
1/30
catch-up, review
13F
2/1
exam 1
M
2/4
midterm break
14W
2/6
implicit differentiation, inverse functions3.5 (omit Inverse Trig), 3.63.5 #2, 22, 36
3.6 #4, 12, 20, 24, 26, 30, 34, 48, 50, 54
18
15F
2/8
extrema4.14.1 #8, 14, 28, 36, 40, 48, 62, 7318
16M
2/11
mean value theorem, asymptotes4.2, 2.64.2 #4, 8, 22, 30, 34, 36
2.6 #6, 14, 18, 22, 38ac*, 48, 58
18
17W
2/13
monotonicity, concavity, curve sketching4.3, 4.54.3 #6, 16, 22, 26, 30ac, 32, 62, 64
4.5 #22, 38, 40, 54, 56
21
18F
2/15
optimization4.74.7 #8, 10, 38, 42, 58, 7221
19M
2/18
Newton's method4.84.8 #4, 8*, 16*, 30*, 33, 42*21
20W
2/20
antiderivatives, substitution4.9, 5.5 (stop at
Def. Integrals)
4.9 #4, 10, 14, 24, 32, 44, 48, 50, 52, 62, 69, 72
5.5 #4, 6, 10, 12, 24, 30, 46
24
21F
2/22
sigma notation, areas5.15.1 #2*, 4, 14*, 16*, 18, 20, 22, 2624
22M
2/25
integrals5.25.2 #4*, 8*, 12*, 18, 22, 30, 36, 44, 54, 7024
23W
2/27
catch-up, review
24F
2/29
exam 2
25M
3/3
fundamental theorem5.3, 5.4, 5.5 (start at
Def. Integrals)
5.3 #2, 6, 14, 22, 26, 36, 40, 44, 58, 60, 64, 66
5.4 #32, 38, 48, 50, 52, 58, 60, 64
5.5 #54, 76, 78
27
26W
3/5
areas between curves6.16.1 #2, 30, 32, 42*, 44, 50never
27F
3/7
volumes by washers6.26.2 #2, 6, 16, 34, 44, 46*, 60never
28M
3/10
conclusion, evaluations
F
3/14
final exam, 7:00-9:30 PM