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".

Day Date Topic Reading Problems Hand-In Day
1 F
1/4 introduction, functions 1.1, 1.2 1.1: #2, 10, 16, 20, 24, 26, 28, 36, 42, 46, 48, 52, 54, 64
1.2: #2, 4, 8, 10, 16, 20, 26* 4
2 M
1/7 more functions 1.5, 1.6 (omit Inverse Trig) 1.5: #16b, 18, 22*
1.6: #14, 18, 22, 26, 30, 36, 46, 50, 58 4
3 W
1/9 operations on functions, tangent lines, velocities 1.3, 2.1 1.3: #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
4 F
1/11 limits 2.2 2.2: #6, 10, 12, 16, 24*, 28*, 36*, 40 7
5 M
1/14 limit laws 2.3 2.3: #2, 4, 10, 20, 22, 26, 28, 36, 52, 58, 62 7
6 W
1/16 continuity, derivatives 2.5, 2.7 2.5: #6, 10, 22, 40, 42^, 44, 48, 64c, 65
2.7: #8, 12, 14, 20, 30, 32, 38, 42ab*, 46, 48, 50, 52 10
7 F
1/18 derivative as function 2.8, 3.7 (omit Ex. 6) 2.8: #2, 8, 12, 20, 32a, 34*, 44, 48a, 56
3.7: #6, 12a, 16ab 10
8 M
1/21 basic differentiation rules 3.1, 3.2 3.1: #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
9 W
1/23 exponential growth, decay, cooling 3.8 3.8: #4, 7, 16
3.4: #86* 13
10 F
1/25 trigonometry Appendix D, 3.3 3.3: #2, 10, 16, 20, 24, 28a, 34, 36, 38*, 40, 44, 48, 50 13
11 M
1/28 chain rule, related rates 3.4, 3.9 3.4 #8, 14, 20, 48, 62, 66, 76, 82*, 84
3.9 #2, 12, 24, 32, 34, 40 13
12 W
1/30 catch-up, review
13 F
2/1 exam 1
M
2/4 midterm break
14 W
2/6 implicit differentiation, inverse functions 3.5 (omit Inverse Trig), 3.6 3.5 #2, 22, 36
3.6 #4, 12, 20, 24, 26, 30, 34, 48, 50, 54 18
15 F
2/8 extrema 4.1 4.1 #8, 14, 28, 36, 40, 48, 62, 73 18
16 M
2/11 mean value theorem, asymptotes 4.2, 2.6 4.2 #4, 8, 22, 30, 34, 36
2.6 #6, 14, 18, 22, 38ac*, 48, 58 18
17 W
2/13 monotonicity, concavity, curve sketching 4.3, 4.5 4.3 #6, 16, 22, 26, 30ac, 32, 62, 64
4.5 #22, 38, 40, 54, 56 21
18 F
2/15 optimization 4.7 4.7 #8, 10, 38, 42, 58, 72 21
19 M
2/18 Newton's method 4.8 4.8 #4, 8*, 16*, 30*, 33, 42* 21
20 W
2/20 antiderivatives, substitution 4.9, 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
21 F
2/22 sigma notation, areas 5.1 5.1 #2*, 4, 14*, 16*, 18, 20, 22, 26 24
22 M
2/25 integrals 5.2 5.2 #4*, 8*, 12*, 18, 22, 30, 36, 44, 54, 70 24
23 W
2/27 catch-up, review
24 F
2/29 exam 2
25 M
3/3 fundamental theorem 5.3, 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
26 W
3/5 areas between curves 6.1 6.1 #2, 30, 32, 42*, 44, 50 never
27 F
3/7 volumes by washers 6.2 6.2 #2, 6, 16, 34, 44, 46*, 60 never
28 M
3/10 conclusion, evaluations
F
3/14 final exam, 7:00-9:30 PM

Day	Date	Topic	Reading	Problems	Hand-In Day
1	F 1/4	introduction, functions	1.1, 1.2	1.1: #2, 10, 16, 20, 24, 26, 28, 36, 42, 46, 48, 52, 54, 64 1.2: #2, 4, 8, 10, 16, 20, 26*	4
2	M 1/7	more functions	1.5, 1.6 (omit Inverse Trig)	1.5: #16b, 18, 22* 1.6: #14, 18, 22, 26, 30, 36, 46, 50, 58	4
3	W 1/9	operations on functions, tangent lines, velocities	1.3, 2.1	1.3: #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
4	F 1/11	limits	2.2	2.2: #6, 10, 12, 16, 24, 28, 36*, 40	7
5	M 1/14	limit laws	2.3	2.3: #2, 4, 10, 20, 22, 26, 28, 36, 52, 58, 62	7
6	W 1/16	continuity, derivatives	2.5, 2.7	2.5: #6, 10, 22, 40, 42^, 44, 48, 64c, 65 2.7: #8, 12, 14, 20, 30, 32, 38, 42ab*, 46, 48, 50, 52	10
7	F 1/18	derivative as function	2.8, 3.7 (omit Ex. 6)	2.8: #2, 8, 12, 20, 32a, 34*, 44, 48a, 56 3.7: #6, 12a, 16ab	10
8	M 1/21	basic differentiation rules	3.1, 3.2	3.1: #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
9	W 1/23	exponential growth, decay, cooling	3.8	3.8: #4, 7, 16 3.4: #86*	13
10	F 1/25	trigonometry	Appendix D, 3.3	3.3: #2, 10, 16, 20, 24, 28a, 34, 36, 38*, 40, 44, 48, 50	13
11	M 1/28	chain rule, related rates	3.4, 3.9	3.4 #8, 14, 20, 48, 62, 66, 76, 82*, 84 3.9 #2, 12, 24, 32, 34, 40	13
12	W 1/30	catch-up, review
13	F 2/1	exam 1
	M 2/4	midterm break
14	W 2/6	implicit differentiation, inverse functions	3.5 (omit Inverse Trig), 3.6	3.5 #2, 22, 36 3.6 #4, 12, 20, 24, 26, 30, 34, 48, 50, 54	18
15	F 2/8	extrema	4.1	4.1 #8, 14, 28, 36, 40, 48, 62, 73	18
16	M 2/11	mean value theorem, asymptotes	4.2, 2.6	4.2 #4, 8, 22, 30, 34, 36 2.6 #6, 14, 18, 22, 38ac*, 48, 58	18
17	W 2/13	monotonicity, concavity, curve sketching	4.3, 4.5	4.3 #6, 16, 22, 26, 30ac, 32, 62, 64 4.5 #22, 38, 40, 54, 56	21
18	F 2/15	optimization	4.7	4.7 #8, 10, 38, 42, 58, 72	21
19	M 2/18	Newton's method	4.8	4.8 #4, 8, 16, 30, 33, 42	21
20	W 2/20	antiderivatives, substitution	4.9, 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
21	F 2/22	sigma notation, areas	5.1	5.1 #2, 4, 14, 16*, 18, 20, 22, 26	24
22	M 2/25	integrals	5.2	5.2 #4, 8, 12*, 18, 22, 30, 36, 44, 54, 70	24
23	W 2/27	catch-up, review
24	F 2/29	exam 2
25	M 3/3	fundamental theorem	5.3, 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
26	W 3/5	areas between curves	6.1	6.1 #2, 30, 32, 42*, 44, 50	never
27	F 3/7	volumes by washers	6.2	6.2 #2, 6, 16, 34, 44, 46*, 60	never
28	M 3/10	conclusion, evaluations
	F 3/14	final exam, 7:00-9:30 PM