Calculus II

Period 4

 

Exam #3
Thursday, Dec 21st
The Definite Integral

 

 

HW
Improper Integrals

[page 1]     [page 2]

Stewart 5.10
#2, 3, 6, 10, 14, 23, 25, 29.

 

 

ClassWork
Improper Integrals

[page 1]     [page 2]

Stewart 5.10
#7, 9, 13, 24, 26, 28, 49.

 

 

HW
Prove
Formula for Volume of a Cone
Formula for Area of a Circle

 

 

HW
Calculating Volumes
(Shells)

[page 1]     [page 2]

Stewart 6.2
#43, 44, 46, 47.

 

 

HW
Calculating Volumes
(Disks and Washers)

[page 1]     [page 2]

Stewart 6.2
#1, 2, 4, 7, 9, 10
#17, 18, 19.

 

 

HW
Calculating Areas

[page 1]

Stewart 6.1
#5, 6, 16, 9, 12, 13, 7, 11
#35, 37, 38.

 

 

HW
The Definite Integral
and
The Fundamental Theorem of Calculus

[page 1]

Stewart 5.3
#13, 21, 28, 31.
(also calculate a 4th Riemann Sum
for each of these)

 

 

HW
Riemann Sums, Velocity, and Areas

[page 1]

Stewart 5.1
#3, 4, 11, 12.

 

 

Some Solutions

Stewart Section 5.1

[page 1]    [page 2]    [page 3]

 

Stewart Section 5.3

[page 1]    [page 2]

 

Stewart Section 5.10

[page 1]    [page 2]    [page 3]     [page 4]

 

Stewart Section 6.1

[page 1]    [page 2]    [page 3]

[page 4]    [page 5]

 

Stewart Section 6.2

[page 1]    [page 2]    [page 3]

[page 4]    [page 5]     [page 6]

 

 

 

 

 

 

Exam #2
Tue, Nov 28th

Anti-differentiation
(an exam beyond words)

 

 

ClassWork/HW
Anti-differentiation Review

[page 1]     [page 2]

Stewart Review
#14, 17, 18, 21, 29,
#23, 25, 28, 30, 33,
#13, 20, 27, 31, 32.

Anton Review
#55, 56, 57, 71, 72.

 

 

HW
Completing the Square

[page 1]

Anton Section 8.4
#34, 39, 33, 38.

 

 

HW
Trig Sub

[page 1]

Anton Section 8.4
#8, 10, 13, 14, 18, 19, 20, 27.

 

 

HW
Trig Integrals

[page 1]

Anton Section 8.3
#1, 3, 8, 15, 26, 27, 32, 38, 50, 52.

 

 

ClassWork
Trig Integrals

[page 1]

Anton Section 8.3
#2, 4, 9, 14, 25,
28, 30, 34, 42, 51.

 

 

HW
Partial Fractions

[page 1]

Stewart Section 5.7
#25, 26.

Anton Section 8.5
#1, 2, 4, 8, 10, 13, 15, 19,
 23, 27, 29, 33, 34.

 

 

HW
Integration by Parts

[page 1]

Stewart Section 5.6
#3 thru 7, 22, 42.

 

 

ClassWork
Integration by Parts

[page 1]

Anton Section 8.2
#5, 3, 10, 11, 15, 27.

 

 

Some Solutions

Anton Section 8.2
[page 1]     [page 2]     [page 3]     [page 4]

 

Anton Section 8.3
[page 1]     [page 2]     [page 3]     [page 4]

 

Anton Section 8.4
[page 1]     [page 2]     [page 3]

 

Anton Section 8.5
[page 1]     [page 2]     [page 3]     [page 4]

 

Anton Review
[page 1]     [page 2]

 

Stewart Section 5.6
[page 1]     [page 2]

 

Stewart Section 5.7
[page 1]

 

Stewart Review
[page 1]     [page 2]

 

 

 

 

 

 

Quiz #3
Mon, Nov 6th
Differential Equations

 

 

HW
Applications of Differential Equations

[page 1]     [page 2]

Anton Section 9.1
#44, 46, 49, 56.

 

 

ClassWork
Applications of Differential Equations

Stewart Section 7.4
#8, 16(a)(vi), 4.

 

 

HW
Applications of Differential Equations

[page 1]     [page 2]

Stewart Section 7.4
#3, 7, 9, 14, 15, 18a.

 

 

ClassWork
Intro to Differential Equations

[page 1]     [page 2]

Anton Section 9.1
#9, 11, 14, 28, 29.

 

 

HW
Intro to Differential Equations

[page 1]     [page 2]

Stewart Section 7.3
#2, 4, 9, 12, 13, 15.

 

 

Some Solutions

Stewart Section 7.3
[page 1]     [page 2]

 

Anton Section 9.1
[page 1]     [page 2]     [page 3]

[page 4]     [page 5]

 

Stewart Section 7.4
[page 1]     [page 2]     [page 3]

 

 

 

 

Exam #1
Fri, Oct 20th

Intro to Anti-Differentiation
Reversing the Chain Rule
Related Rates
Optimization

scientific calculator required
graphing calculators not allowed

 

 

ClassWork
Anti-Differentiation Review

[page 1]     [page 2]

Stewart Section 5.5
#10, 13, 19, 25, 28, 31, .
Just Anti-Differentiate:  #47, 49.

Stewart Section 4.9
#7, 11, 13, 22, 36, 44.

 

 

ClassWork
Reversing the Chain Rule

[page 1]

Stewart Section 5.5
#8, 9, 14, 20, 22, 29, 30.
Just Anti-Differentiate:  #40, 43, 44, 51, 52.

 

 

HW
Reversing the Chain Rule

[page 1]

Anton Section 5.3
#8, 15, 18, 21, 26, 39, 44.
Additional Questions:  #17, 20, 27, 32, 40, 43.

 

 

HW
Intro to Anti-Differentiation

[page 1]

Stewart Section 4.9
#1, 9, 14, 19, 20, 21, 24, 35, 36, 43, 44.
Additional Questions:  #37, 38, 45.
 

 

ClassWork
Intro  to Anti-Differentiaton

Stewart Section 4.9
#10, 12, 13, 46.

 

 

Some Solutions

Stewart Section 4.9
[page 1]     [page 2]     [page 3]

 

Anton Section 5.3
[page 1]     [page 2]     [page 3]

 

Stewart Section 5.5
[page 1]     [page 2]     [page 3]

 

 

 

 

Quiz #2
Wed, Oct 4th
Related Rates
Optimization
 

scientific calculator required
graphing calculators not allowed

 

 

Review
Optimization

[page 1]

Anton Section 4.5
#5, 14, 19, 20, 26, 29.

solutions
[page 1]

 

 

Review
Related Rates

Section 4.1
#5, 24.

solutions
[page 1]

 

 

HW
Optimization

[page 1]     [page 2]

Section 4.6
#9, 12,
#17 (modeling only),
#19, 20, 21, 29, 38.

 

 

 

HW
Related Rates

[page 1]

Section 4.1
#9, 14, 15, 21, 31, 33.
 

 

 

ClassWork
Related Rates

Section 4.1
#12, 22, 34.

 

 

 

Some Solutions

Section 4.1
[page 1]     [page 2]     [page 3]     [page 4]

 

Section 4.6
[page 1]     [page 2]     [page 3]     [page 4]

 

 

 

 

Quiz #1
Wed, Sept 20th
 

 

HW #1
Review of Differentiation

[Section 3.1]     [Chap 3 Review]

Section 3.1
#4, 6, 9, 14, 21.

Chapter 3 Review
#6, 7, 13, 18, 24.

 

 

HW #2
Implicit Differentiation

[Section 3.6]

Section 3.6
#3, 6, 10, 13, 15
#27, 29, 31.

 

 

Challenge Problems

Section 3.1
#41, 44, 45, 47.

Chapter 3 Review
#51, 53, 56a,b,c.

Section 3.6
#49, 54.

 

 

Some Solutions

Section 3.1
[page 1]     [page 2]     [page 3]

 

Chapter 3 Review
[page 1]     [page 2]     [page 3]

 

Section 3.6
[page 1]     [page 2]     [page 3]     [page 4]

 

 

 

 

The End