Math 252 Calculus II

Spring 2018, UAF

Ed Bueler
 elbueler@alaska.edu

Office: Chapman 301C (hours)

Class times and room (all students):
  MWThF 8:00 am -- 9:00 am
  Gruening 409

Section F03 (CRN 33818)
  T 9:45 am -- 10:45 am
  Gruening 410

Section F04 (CRN 33819)
  T 8:00 am -- 9:00 am
  Gruening 409


Syllabus

Required text:
J. Stewart, Calculus, Early Transcendentals, 8th ed., Brooks-Cole 2015


Links:
  • Blackboard (use this for access to WebAssign and to see your grades)
  • Wolfram Alpha
  • Wikipedia page about calculus
  • Regarding section 7.7: Matlab/Octave codes from 15 February class:
  • Regarding section 8.5: Carabiner failure strength is reported by a "3-sigma" standard. That is, the manufacturer claims that the measured force which breaks such carabiners is a normally-distributed random variable with a mean value which is three standard deviations above the value the company reports. There are many failure modes for a carabiner:
  • Regarding the block-stacking problem, we saw that the maximum overhang of N single-stacked blocks is proportional to the Nth partial sum of the harmonic series. The overhang can grow logarithmically with N.
    • But see this 2007 mathematical paper which shows that one can make an even larger overhang by allowing multi-stacking.

Schedule: (version 30 April 2018)

Day Section Topic Assigned / Due
T 1/16 Please attend the recitation section (F03/F04), this Tuesday and every Tuesday! Pick up your copy of Written Homework (WH) #1 at recitation. WH #1 assigned
W 1/17 6.1 area between curves
Quiz #1: derivatives and integrals reminder		 Quiz #1
Th 1/18 6.2 volumes by integration (slicing into washers)
F 1/19 cont.
M 1/22 6.3 volumes by shells
worksheet: set up volume integrals
T 1/23 attend recitation WH #2 assigned
W 1/24 cont.
Quiz #2: 6.1, 6.2		 Quiz #2
WH #1 DUE
Th 1/25 6.4, 6.5 work (as in physics); average value
F 1/26 7.1 integration by parts add/drop deadline
WebAssign #1: 6.1, 6.2, 6.3
  NOT DUE!
M 1/29 cont. WH #2 DUE
T 1/30 attend recitation WH #3 assigned
W 1/31 7.2 integrals of trig. functions
Quiz #3: 6.3, 6.4, 6.5, 7.1		 Quiz #3
Th 2/1 cont.
worksheet: integrals of powers of tan and sec
F 2/2 7.3 integration by trig. substitution WebAssign #2: 6.4, 6.5, 7.1
  DUE at 5pm
M 2/5 cont.
18 integrals (solutions)		 WH #3 DUE
T 2/6 attend recitation WH #4 assigned
W 2/7 7.4 integration of rational functions (partial fractions)
Quiz #4: 7.2, 7.3		 Quiz #4
Th 2/8 cont.
F 2/9 cont. WebAssign #3: 7.2, 7.3
  DUE at 5pm
M 2/12 7.5 strategy for integration WH #4 DUE
T 2/13 attend recitation WH #5 assigned
W 2/14 MIDTERM I:
6.1, 6.2, 6.3, 6.4, 6.5, 7.1, 7.2, 7.3, 7.4, 7.5
1/2 sheet of notes allowed		 MIDTERM I
Th 2/15 7.7 approximate (numerical) integration
F 2/16 7.8 improper integrals WebAssign #4: 7.4, 7.5
  DUE at 5pm
M 2/19 cont.
10 improper integrals (solutions)		 WH #5 DUE
T 2/20 attend recitation WH #6 assigned
W 2/21 8.1 arc length
Quiz #5: 7.7, 7.8		 WH #5 DUE
Quiz #5
Th 2/22 8.2 areas of surfaces of revolution
F 2/23 cont.
worksheet on arclength and surface area
   solutions: problem 1, problem 2,
   problem 3, problem 4		 WebAssign #5 DUE at 5pm
M 2/26 8.3 pressure, force, moments, centroids WH #6 DUE
WebAssign #5: 7.7,7.8,8.1
  DUE at 5pm
T 2/27 attend recitation WH #7 assigned
W 2/28 8.5 probability
Quiz #6: 8.1, 8.2		 Quiz #6
Th 3/1 cont.
F 3/2 cont. WebAssign #6: 8.2, 8.3
  DUE at 5pm
M 3/5 9.1 differential equations WH #7 DUE
T 3/6 attend recitation WH #8 assigned
W 3/7 cont.
Quiz #7: 8.3, 8.5		 Quiz #7
Th 3/8 10.1 parametric curves
worksheet: x(t),y(t) --> curve in x-y plane
F 3/9 10.2 calculus on parametric curves WebAssign #7: 8.5, 9.1
  DUE at 5pm
M 3/12--F 3/16 no classes: Spring Break no classes
M 3/19 cont. WH #8 DUE
T 3/20 attend recitation WH #9 assigned
W 3/21 10.3 polar coordinates
Quiz #8: 10.1, 10.2		 Quiz #8
Th 3/22 cont.
worksheet on sketching polar curves
   and scanned solutions: page 1, page 2
F 3/23 10.4 areas and lengths in polar WebAssign #8: 10.1, 10.2
   DUE at 5pm
M 3/26 11.1 sequences WH #9 DUE
T 3/27 attend recitation WH #10 assigned
W 3/28 MIDTERM II:
7.8, 8.1, 8.2, 8.3, 8.5, 10.1, 10.2, 10.3, 10.4
1/2 sheet of notes allowed		 MIDTERM II
Th 3/29 cont.
F 3/30 11.2 series withdrawal deadline
WebAssign #9: 10.3, 10.4
  DUE at 5pm
M 4/2 cont. WH #10 DUE
T 4/3 attend recitation WH #10 DUE
WH #11 assigned
W 4/4 11.3 estimates and integral test
Quiz #9: 11.1, 11.2		 Quiz #9
Th 4/5 cont.
F 4/6 11.4 comparison tests
worksheet on convergence/divergence of series
solutions to worksheet		 WebAssign #10: 11.1,11.2,11.3
  DUE at 5pm
M 4/9 cont. WH #11 DUE
T 4/10 attend recitation WH #11 DUE
W 4/11 11.5 alternating series
Quiz #10: 11.3,11.4		 Quiz #10
WH #12 assigned
Th 4/12 11.6 absolute convergence, ratio and root tests
F 4/13 cont. WebAssign #11: 11.3,11.4,11.5
  DUE at 5pm
M 4/16 11.7 strategy for series
another worksheet on series
solutions to worksheet
T 4/17 attend recitation
W 4/18 11.8 power series
Quiz #11: 11.5,11.6		 WH #12 DUE
Quiz #11
Th 4/19 cont.
F 4/20 11.9 using power series WebAssign #12: 11.6,11.7,11.8
  DUE at 5pm
WH #13 assigned
M 4/23 cont.
worksheet on power series
solutions to worksheet
T 4/24 attend recitation
W 4/25 11.10 Taylor series
Quiz #12: 11.7,11.8,11.9		 WH #13 DUE
Quiz #12
WH #14 assigned
Th 4/26 cont.
F 4/27 cont. WebAssign #13 DUE
M 4/30 review
review board (photo of whiteboard)
Bueler's office hours for finals week
[last day of instruction]		 WebAssign #13: 11.8,11.9,11.10
  DUE at 5pm
T 5/1 [no class] WH #14 DUE at noon in my Chapman 101 box
W 5/2 1:00 pm -- 3:00 pm Final Exam Final Exam