2008 May 29 / E-Mail Me

# Schedule

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.

• Questions in bold should be handed in. Do not hand in the other questions, but still do them; that is the minimum amount of work that I recommend, to pass this course.
• Questions marked * benefit from a calculator or computer; do the others by hand, if you can.
• Questions marked ^ have typographical errors. In 2.5 #42, change "2 < x < 3" to "2 <= x < 3".

01 M 3/31functions1.11.1 #01, 10, 16, 20, 24, 26, 28, 36, 42, 46, 48, 52, 54, 6403
tangent lines, velocities2.12.1 #01, 04, 06, 803
02 W 4/2sigma notation, areas5.15.1 #01*, 04, 14*, 16*, 20, 2206
03 F 4/4common functions1.21.2 #1, 04, 08, 10, 16, 20, 26*06
exponential functions1.51.5 #16b, 22*06
04 M 4/7inverse functions, logarithms1.6 (omit Inverse Trig)1.6 #13, 14, 18, 22, 26, 30, 36, 50, 58
5.1 #18
06
operations on functions1.31.3 #03, 04, 10, 12, 28, 34, 44, 54, 56, 66
1.5 #08, 12, 14, 18
1.6 #46
06
05 W 4/9limits2.22.2 #06, 10, 12, 16, 24*, 28*, 36*, 4009
06 F 4/11limit laws2.32.3 #01, 07, 10, 22, 28, 36, 52, 58, 6209
07 M 4/14continuity2.52.5 #06, 10, 22, 40, 42^, 44, 48, 64c, 6509
derivatives2.72.7 #07, 12, 14, 20, 30, 32, 38, 42ab*, 46, 48, 50, 51, 5209
08 W 4/16derivative as function2.82.8 #05, 09, 12, 20, 32a, 34*, 44, 48a, 5612
derivatives in practice3.7 (omit Ex. 6)3.7 #05, 12a, 16ab12
09 F 4/18basic differentiation rules3.13.1 #03, 07, 12, 15, 24, 30, 36, 42*, 50*, 54, 64, 72, 76a12
product rule3.23.2 #02, 05, 11, 18, 26, 33, 46, 48a, 50a, 54, 5612
10 M 4/21exponential growth, decay, cooling3.83.8 #04, 07, 16
3.4: #86*
12
11 W 4/23trigonometryAppendix D, 3.33.3 #02, 10, 15, 20, 24, 28a, 34, 35, 38*, 41, 44, 48, 50
5.1 #26
14
12 F 4/25chain rule3.43.4 #08, 13, 20, 48, 61, 66, 76, 82*, 8414
13 M 4/28related rates3.93.9 #02, 13, 25, 32, 34, 4017
14 W 4/30catch-up, review
15 F 5/2EXAM 1 (DAYS 01-12)
-- M 5/5midterm break
16 W 5/7implicit differentiation3.5 (omit Inverse Trig)3.5 #03, 22, 3620
inverse functions3.63.6 #05, 12, 19, 24, 26, 30, 33, 48, 50, 5420
17 F 5/9optimization4.14.1 #08, 13, 28, 35, 40, 48, 62, 7320
18 M 5/12mean value theorem4.24.2 #04, 07, 22, 30, 34, 3620
horizontal asymptotes2.62.6 #07, 14, 17, 22, 38ac*, 48, 5820
19 W 5/14monotonicity, concavity4.34.3 #06, 16, 22, 27, 30ac, 31, 62, 6423
curve sketching4.54.5 #37, 40, 54, 5623
20 F 5/16optimization in practice4.74.7 #08, 11, 37, 42, 58, 7223
21 M 5/19Newton's method4.84.8 #04, 07*, 15*, 30*, 33, 42*23
22 W 5/21antiderivatives4.94.9 #03, 10, 14, 23, 32, 44, 48, 49, 52, 62, 69, 7224
substitution5.5 (stop at
Def. Integrals)
5.5 #03, 06, 10, 12, 24, 30, 4624
23 F 5/23integrals5.25.2 #04*, 08*, 12*, 17, 22, 29, 36, 44, 54, 7026
24 M 5/26catch-up, review
25 W 5/28EXAM 2 (DAYS 13-22)
26 F 5/30fundamental theorem5.35.3 #02, 05, 14, 22, 32, 36, 40, 43, 58, 60, 64, 65
5.5 #54, 76, 78
28
27 M 6/2integral as net change5.45.4 #31, 38, 48, 50, 53, 58, 59, 64never
areas between curves6.16.1 #02, 30, 32, 42*, 44, 50never
28 W 6/4volumes by washers6.26.2 #02, 06, 16, 34, 44, 46*, 60never ever
-- M 6/9FINAL EXAM (7:00-9:30 PM)