Math 132 - Calculus II - Course Outline (Fall, 2017)

This is a tentative outline for the course and will be updated weekly.

 

Date

Topics

 

Aug 25

Review on integration: (5.3), (5.4)
(1) basic antidifferentiation formulas

     - Table of Indefinite Integral on Page 403
(2) the fundamental theorem of calculus: Part II

Lecture on Substitution: (5.5)

(3) substitution technique

Lecture Notes    

 

Worksheet 1

Homework 1:
 
Online: - due Sept 15
Section 5.5: 
Page 418: 
3, 5, 13, 17, 21, 23, 25, 28, 34, 35, 

38, 39, 40, 41, 44, 45, 53, 60, 62, 67

 

Turn in – due Aug 29
Page 418:  8, 14, 28 
Solutions
 

 

 

 

Aug 28

Lecture on Substitution: (5.5)

 

Homework 2:
 
Online: - due Sept 15
Section 5.5: 
Page 418:

3, 5, 13, 17, 21, 23, 25, 28, 34, 35,

38, 39, 40, 41, 44, 45, 53, 60, 62, 67

 

Turn in – due Aug 30
Page 418:  18, 34, 42, 44 
Solutions
 

Aug 29

Areas between curves (6.1)

Lecture Notes  

 

 

Homework 3:
 
Online: - due Sept 15
Section 6.1: 
Page 434:

1, 2, 3, 4, 9, 11, 12, 19, 21,

24, 27, 41

 

Turn in – due Sept 1
Page 434:  8, 12, 28
Solutions  

 

Aug 30

Quiz 1 on Section 5.5 Substitution
Solutions
 
Areas between curves (6.1)

Lecture Notes

 

Sept 1

 

Volumes (6.2)

(1) volumes: slicing method

(2) disc and washer 

Lecture Notes (get a copy here)

 

Homework 4:
 
Online: - due Sept 15
Section 6.2: - Page 446 
3, 5, 7, 9, 11, 13, 14, 15, 
23, 25, 28,
54, 55, 56, 57, 58 

 

Turn in – due Sept 5
Page 446: 8, 12, 14, 24, 28
For each problem, 
(1) sketch the region,
(2) sketch one cross-section,
(3) give the area of the cross-section in terms of x or y, and
(4) set up a definite integral that gives the volume.
Solutions  
 
 
Turn in – due Sept 15

Page 446: 56, 58

For each problem, 
(1) sketch the region of the base,
(2) sketch one cross-section,
(3) give the area of the cross-section in terms of x or y, and
(4) set up a definite integral that gives the volume.

Solutions

 

 

 

Sept 4

Quiz 2 on 5.5 Substitution

Solutions

 

Volumes (6.2)

(1) volumes: slicing method

(2) disc and washer 

Lecture Notes (get a copy here)

 

 

Sept 5

Volumes by Cylindrical Shells (6.3)

Lecture Notes (get a copy here )

Homework 5:
 
Online: - due Sept 18
Section 6.3: - Page 453 
2, 5, 7, 8, 15, 17, 19, 23, 25

 

Turn in – due Sept 15
Page 453: 6, 10
For each problem, 
(1) sketch the region,
(2) sketch one cross-section,
(3) give the area of the cross-section in terms of x or y, and
(4) set up a definite integral that gives the volume.
Solutions
 
Turn in – due Sept 18

Page 453: 14, 18

For each problem, 
(1) sketch the region of the base,
(2) sketch one cross-section,
(3) give the area of the cross-section in terms of x or y, and
(4) set up a definite integral that gives the volume.

Solutions

Sept 6

Quiz 3 on Section 6.1

Solutions

 

Volumes by Cylindrical Shells (6.3)

 

Sept 8-

13

Evacuation for Irma

 

Sept 15

Average Value of a Function (6.5)

Lecture Notes  (get a copy here)

Homework 6:
 
Online: - due Sept 22
Section 6.5: - Page 463 
4, 5, 6, 7, 8, 9, 11, 14, 16, 17

 

Turn in – due Sept 20
Page 463: 6, 10, 20

Solutions

 

 

 

Sept 18

Quiz 4 on Section 6.2

Solutions

 

Review for Hour Exam 1: Section 5.5, 6.1, 6.2, 6.3, 6.5

 

 

Sept 19

Quiz 5 on Section 6.3

Solutions

 

Integration by parts (7.1)

Lecture Notes  (get a copy here)

 

Sept 20

Integration by parts (7.1)

Homework 7:
 
Online: - due Sept 28
Section 7.1: - Page 476
1,3, 5 ,7,9,11,15,17,19,26,28,39 

 

Turn in – due Sept 26

Page 476: 4, 6, 20, 26

For each problem, specify first u, du, dv and v.

Solutions

 

 

Turn in – due Sept 27

Page 476: 12, 22, 32, 18

For each problem, specify first u, du, dv and v.

Solutions

 

Sept 22

Hour Exam 1: Section 5.5, 6.1, 6.2, 6.3, 6.5

 

 

 

 

Sept 25

Integration by parts (7.1)

 

Sept 26

Trigonometric Techniques of Integration (7.2)

  (1) Integrals involving sinm(x)cosn(x)
  (2) Integrals involving tanm(x)secn(x)

Lecture Notes 

 

Homework 8:
 
Online: - due Oct 3
Section 7.2: - Page 484
1, 2, 3,7, 10, 11, 21,23, 25,27, 
29, 31, 41, 43 

 

Turn in – due Sept 29

Page 484: 2, 6, 10, 22

For each problem, specify first u, du

Solutions

 

 

Turn in – due Oct 3

Page 484 : 14. 18, 42, 28, 32 

For each problem, specify first u, du

Solutions

 

Sept 27

Trigonometric Techniques of Integration (7.2)

 

Sept 29

Quiz on Section 7.1

Solutions

 

Trigonometric Substitute (7.3)

Lecture Notes

Homework 9:
 
Online: - due Oct 10
Section 7.3: - Page 491
2, 3, 4, 9, 12, 13, 19, 21, 22, 37

 

Turn in – due Oct 4

Page 491: 4, 8, 12

For each problem, specify first the substitution for x.

Solutions

 

 

Turn in – due Oct 6

Page 491: 5, 22, 38 

For each problem, specify first the substitution for x.

Solutions

 

 

 

 

Oct 2

Trigonometric Substitute (7.3)

 

 

Oct 3

Trigonometric Substitute (7.3)

 

 

Oct 4

Integration of rational functions  (7.4)
(1) partial fractions decomposition
(2) integration of rational functions

Lecture Notes

Homework 10:
 
Online: - due Oct 12
Section 7.4: - Page 501
2, 4, 9, 12, 19, 23, 24, 26, 31, 32

 

Turn in – due Oct 9

Page 501: 12, 16

 

 

Turn in – due Oct 11

Page 501: 24, 28, 32

 

Oct 6

Quiz on Section 7.2

Solutions

 

Integration of rational functions  (7.4)

 

 

 

 

Oct 9

Integration of rational functions  (7.4)

 

Oct 10

Quiz on Section 7.3

Solutions

 

Indeterminate Forms (4.4)

Homework 11:
 
Online: - due Oct 17
Section 4.4: - Page 311
13, 19, 20, 25, 27, 31, 32, 33, 

 

Turn in – due Oct 9

Page 501: 12, 16

 

 

Turn in – due Oct 11

Page 501: 24, 28, 32

 

Oct 11

Integration of rational functions  (7.4)

 

 

Oct 13

 

Indeterminate Forms and L’Hospital

 

Lecture Notes 

Homework 12:
 
Online: - due Oct 20
Section 4.4: - Page 311
13, 19, 20, 25, 27, 31, 
32, 33, 41, 47, 51, 52, 56, 58, 
59, 63, 69

 

Turn in – due Oct 16

Page 311: 18, 22, 25 (show your work)

 

 

Turn in – due Oct 20

Page 311: 32, 40

 

 

Turn in – due Oct 23

Page 311 : 54, 56, 58, 64 

 

 

 

 

Oct 16

Quiz on Section 7.4

Solutions

 

 

Review for Hour Exam 2:

Section 7.1-7.4, 4.4 (part 1, 0/0, inf/inf)

 

 

Oct 17

Hour Exam 2: Section 7.1-7.4, 4.4 (part 1)

 

 

Oct 18

Indeterminate Forms and L’Hospital

(0^0. 1^inf,  inf^0)

 

Oct 20

Improper Integrals (7.8)

 

 

 

 

 

Nov 10

10am

 

5pm

 

 

 

 

 

 

 

 

 

 

 

 

 

Dec 1

10am

 

5pm

 

 

 

 

Dec 8

5:30pm-8:30pm:  Final Exam

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