STATEN ISLAND. Larson 7th and 8th eds. Spring 2006 JC s. Note: Each lesson =
1 hour class. Text: Larson,Hostetler,Edward Calculus, 7th or 8th ed. Lesson.
MTH 232 CALCULUS II
Note:
Each lesson =1 hour class
Lesson Topic 1 Review:Inverse Functions
2 Inverse Trig Functions: Differentiation
3 Inverse Trig Functions: Integration
4 MATLAB PROJECT 1 5 Hyperbolic Functions
6 Area of Region bet 2 curves
COLLEGE OF STATEN ISLAND
Larson 7th and 8th eds Spring 2006 JC
Text: Larson,Hostetler,Edwards Calculus, 7th or 8th ed section/page/exercise 7th ed 5.3/p.338/8 16 19 36 43 51 63 73 101 5.8/p.386/5 7 9 17a 33 37 41 45 49 64 5.9/p.393/1 7 10 11 17 19 21 51 55 62 Intro to Symbolic Math 5.10/p.403/1 17 19 23 39 41 43 53 6.1/p.418/1 3 8 19 23 28 29 37 79
section/page/exercise 8th ed 5.3/p.347/8 16 19 36 43 51 63 73 101 5.6/p.377/5 7 9 17a 33 37 41 45 49 72 5.7/p.385/1 23 6 7 25 27 13 55 59 74 5.8/p.396/1 17 19 23 39 41 43 49 7.1/p.452/1 3 8 21 25 30 31 39 90
MTH 232 CALCULUS II
Lesson Topic 7 Volume: Disk Method
COLLEGE OF STATEN ISLAND
Larson 7th and 8th eds Spring 2006 JC
section/page/exercise 7th ed 6.2/p.428/1 4 5 7 9 11 23 27 43 51
8&9
MATLAB proj 2 Volume: Shell Method
Applications of Integration 6.3/p.437/1 3 7 11 15 17 21 22
10 Arc Length
6.4/p.447/1 3 12 17 29
11 Moments, Centers of Mass
6.6/p.467/1 9 13 16 19 25 28
12 Review for EXAM # 1 13 & 14 EXAM # 1 15 Basic Integration Rules
7.1/p.486/1
section/page/exercise 8th ed 7.2/p.463/1 4 5 7 9 11 23 27 45 51 Due by Lesson 12 7.3/p.472/1 3 7 11 15 21 27 28 7.4/p.483/1 3 17 21 35 7.6/p.504/1 9 13 16 19 25 28
8.1/p.522/1 2 8 11 19 21 25 29 33 49 61
2 8 11 18 19 23 27 31 45 59
MTH 232 CALCULUS II
Lesson Topic 16 & 17 Integration by Parts
18 Trig Integrals: sinx & cosx
19 Trig Substitution sinx & tanx
20 & 21 Partial Fractions
22 Summary: Techniques of 23 Integration by Tables
24 MATLAB Project 3
COLLEGE OF STATEN ISLAND section/page/exercise 7th ed 7.2/p.494/1 11 15 17 19 27 33 37 38 50 52 53 7.3/p.503/3 4 6 11 39 61 83 7.4/p.512/5 6 13 23 24 7.5/522/7 13 15 23 29 31 58 61 Integration 7.6/p.528/5 7 13 23 25 47 71 72 76 84 Integration
Larson 7th and 8th eds Spring 2006 JC
section/page/exercise 8th ed 8.2/p.531/1 11 15 17 19 27 33 37 38 50 52 53 8.3/p.540/5 6 8 13 43 65 88 8.4/p.549/5 6 13 25 26 8.5/p.559/7 13 15 23 29 31 60 63 8.6/p.565/5 7 13 45 21 39 71 72 76 86
MTH 232 CALCULUS II
Lesson Topic 25 Indeterminate Forms L'Hopital's Rule
26 Improper Integrals
27 Review for EXAM # 2 28 & 29 EXAM # 2 30 Sequences
COLLEGE OF STATEN ISLAND
Larson 7th and 8th eds Spring 2006 JC
section/page/exercise 7th ed section/page/exercise 8th ed 7.7/p.537/5 8.7/p.574/5 10 10 11 11 15 15 21 21 33 33 39 39 45 45 54 54 63 65 65 67 69 63 73 73 75 75 89 91 90 92 7.8/p.547/1 8.8/p.585/5 3 3 5 9 9 15 15 21 21 27 27 33 31 37 33 39 75 79
8.1/p.564/1
9.1/p.602/1 3 29 33 80 81 85 88 90 91 92
31 & 32 Series and Convergence
104(extra) 8.2/p.573/1
3 29 33 80 83 87 90 93 95 96 110(extra) 9.2/p.621/1
5 11 21 23 34 37 39 55 61
5 11 23 25 36 39 41 61 67
MTH 232 CALCULUS II
Lesson Topic 33 Integral Test & p-series
COLLEGE OF STATEN ISLAND
Larson 7th and 8th eds Spring 2006 JC
section/page/exercise 7th ed 8.3/p.580/1 4 7 11 12 59 61 63
34 Comparison of Series
8.4/p.587/3 5 7 11 15 23 27 35
35 Alternating Series
8.5/p.595/9 11 13 41 43 47 66
36 Ratio Tests
8.6/p.603/13 14 17 25 29 31 43 46
37 Summary: Convergence Tests
p.601/Example 5 p.604/44 45 53
38 Taylor Polynomials and Approximations
8.7/p.613/1
39 Power Series
8.8/p.623/5
3 13 17 29 30 35 62 7 11 13 15 48 49
section/page/exercise 8th ed 9.3/p.620/1 4 7 25 26 85 87 89 9.4/p.628/3 5 7 11 15 23 27 35 9.5/p.636/11 13 15 47 49 53 76 9.6/p.645/13 14 17 25 29 31 51 54 p.643/Example 5 p.646/52 53 61 9.7/p.656/1 3 13 17 29 30 35 68 9.8/p.666/5 7 11 13 15 64 69
MTH 232 CALCULUS II
Lesson Topic 40 Representation of Functions by Power Series
41 & 42 Taylor and Maclaurin Series
COLLEGE OF STATEN ISLAND
Larson 7th and 8th eds Spring 2006 JC
section/page/exercise 7th ed 8.9/p.630/1 5 15 21 8.10/p.641/3 5 6 7 19 23 52 53 59
43 44 45 & 46 47
MATLAB Project 4: Taylor Review for EXAM # 3 EXAM # 3 Plane Curves & Parametric Equations
48 Parametric Equations and Calculus
section/page/exercise 8th ed 9.9/p.674/1 5 15 21 9.10/p.685/3 5 6 7 21 25 54 55 61
Polynomials & Approximations
9.2/p.672/1
10.2/p.716/1 2 5 7 17 33 40 41
9.3/p.681/5,7,9,15,17
2 5 7 17 33 40 41 10.3/p.725/5,7,9,15,17
27 37
49 & 50 Polar Coordinates & Polar Graphs 9.4/p.691/1,3,11,13
29 49 10.4/p.736/1,3,11,13
21 23 25 29 53 55 67 51 MATLAB Project 5: Polar Graphs 52 & 53 Area and Arc Length in 9.5/p.700/1 Polar Coordinates
54,55,56 Review for FINAL
27 29 31 35 59 61 73 10.5/p.745/5
3 7 9 11 13 17 27 41 43
7 11 13 15 17 21 31 45 47