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2007
Applications
and Extensions of the Integral
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Tues., February 27 WEB Review Intro -
Getting your account and start taking the diagnostics
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Wed., Feb.
28 7.1 Using Definite Integrals to
Measure Area
Objectives: -to realize that the definite integral gives net
area under a curve
-to set up integrals to find total area
“under” a curve
-to use both/either dx and/or dy to find
total area
Homework: Read pp. 457 – 462. Do p. 462 #1-9 odds. |
Hand-In Homework –due Wednesday,
March 7
p. 462 #2, 10, 12, 14, 27, 28 |
Thurs., March 1
7.1 Using Definite Integrals to Measure Area
Objectives: -to realize that the definite integral gives net
area under a curve
-to set up integrals to find total area
“under” a curve
-to use both/either dx and/or dy to find
total area
Activities: Spring has Sprung I,
Sign
up to bring food for the food labs!!!
Homework: Read pp. 457 – 462. Do p. 462 #11-19 odds and 21-26
and study
for the quiz
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Hand-In Homework – due Tuesday, March 13
p. 466 #29 and
p. 475 #6 and 16
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Friday,
March 2 - Quiz 7.1
Homework:
and do Hand-In Homework due Monday
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Monday, March 5 No school – Casmir Pulaski Day! |
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Tues.,
March 6 7.2 Definite Integrals to
Measure Volume
LAB: Volume by known Cross Sections - LAB
Objectives: -to visualize the solid of volume with a known
cross section
-to find the volume of a solid with a known cross section
Homework: Read pp. 466-469. Do p. 474 #1-5
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Wednesday, March 7
7.2 (Volume by known Cross Sections)
Objectives: -to find the volume of a solid with a known cross
section
Homework: Worksheet 1
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FOOD
day |
Thursday,
March 8 Finish Volume by known Cross Sections
Objectives: -to find the volume of a solid with a known cross
section
Homework:
Finish Worksheet #1 |
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FOOD
day |
Friday,
March 9 7.2 Definite Integrals to Measure Volume
- (Disks and Washers)
Objectives: -to find the volume of a solid of revolution by
disk and washer method revolved about the x-axis
Activities:
Spring has Sprung II
Homework:
- Read pp. 469-472. Do Worksheet 2. |
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Monday, March 12
7.2 Definite Integrals to Measure Volume (Disks and
Washers)
Objectives:
-to find the volume of a solid of revolution by disk and washer
method revolved about the y-axis
-to find the volume of a solid of revolution by disk and washer
method revolved about a line other than an axis.
Homework: -
Read pp. 469-472. Do Worksheet 3.
Do Hand-In Homework due Tuesday |
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FOOD
day |
Tuesday, March 13
7.2 Definite Integrals to Measure Volume (Cylindrical Shells)
Objectives:
-to find the volume of a solid of revolution around an axis by
cylindrical shells method
-to find the volume of a solid of revolution by cylindrical shells
method revolved about a line other than an axis.Complet
Homework:
Read pp. 473-474. Worksheet #4 and do Hand-In Homework (due
Tuesday). |
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Wednesday, March
14 Complete Pi Day Activities!
Extra Credit opportunities TODAY!!! |
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Thursday, March 15
7.2 Definite Integrals to Measure Volume (Cylindrical
Shells)
Objectives:
- to find the volume of a solid of revolution, choose a good method
for solving for its volume, and finding the volume of the solid
Homework:
Read pp. 473-474. Worksheet #4 and do Hand-In Homework (due
Thursday).
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Friday, March 16 7.2
(continued) Review Worksheets 3 and 4 |
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Saturday, March 17
Happy St. Patrick’s Day
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Monday, March 19
Homework:
Flashlight Reflector Problem
- due before you leave for Spring Break! |
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Tuesday, March 20
– Friday, March 23
AP Web Review –
Computer Lab #41
Homework: Use the AP Web
Review and finish the Flashlight Reflector Problem BEFORE BREAK…. I
will not accept any after break! |
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Monday, April 2
7.3 Using Definite Integrals to Measure Averages
Objectives:
-to find the average or means of continuously varying quantities
-to understand and
use the Mean value theorem for integrals
Homework: Read pp. 477-479. Do P. 483 # 1-3,
5-9, 11 and start do Hand-in Homework that is due Wednesday!
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Hand-In Homework – due Thurs.,
April 5
p. 483 # 4, 10, 12
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Tuesday,
April 3 7.4 Applications to Particle Motion
Objectives:
-to find net distance traveled – the change in position of the
object over a time interval and represent them with integral
notation
-to find total distance traveled and
represent them with integral notation
-to understand that the antiderivative of
velocity is distance and that the antiderivative of acceleration is
velocity.
Homework:
Read pp. 486-489. Do P. 490 # 1-12 and FINISH Hand-in Homework that
is due tomorrow |
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| Wednesday, April
4 Take Home Test over 7.1 – 7.4 – Due on Friday-
HIH Due today! |
| Thursday, April 5
– Review 7.1 – 7.4 Homework: Finish the Take-home test |
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Friday, April 6 – In class over 7.1 – 7.4
Create 4 notecards
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area between two curves
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one problem done two ways - washers or disks and shells
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averages
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particle motion
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