Calculus Chapter 6 Applications of Integration

Date

Assigned

Activity

Assignment

Learning Objective

Date

Due

 5/8

6.1  Area of a Region Between Two Curves

Read pp 410-420

Prob: 2, 4, 10, 16, 20, 32, 38 p 418

Students will determine the area between two curves under a variety of circumstances.

 5/12

 5/13

6.2  Volume: The Disk Method

 

Read pp 421-431

Prob: pt #1:  2, 6, 8, 10, 12, 14, 20  p 428;

 

Prob: pt #2:  24, 26, 34, 46, 50 p 429

Students will determine the volume swept out by the rotation of a defined area using the disk or washer method.

 5/15

Skip

6.3  Volume : The Shell Method

 

Read pp 432-438

Prob: 4, 6, 8, 14, 18, 22

p 437

Students will determine the volume swept out by the rotation of a defined area using the shell method.

Skip

 5/14

6.4  Arc Length and Surfaces of Revolution

 

Read pp 439-449

Prob: 2, 4, 8, 14, 18, 34, 36 p 447-448

Students shall determine the length of a curve between two points.

Students shall determine the area of a surface formed by the rotation of a curve.

5/18

 5/19

6.5  Work

 

Read pp 450-457

Prob: 4, 10, 16, 23, 24, 28, 30 pp 456-457

Students shall determine the amount of work needed to be performed in a variety of circumstances.

5/21

 5/22

6.6  Moments, Centers of Mass and Centroids

 

Read pp 458-469

Prob: 2, 10, 14, 18, 22, 28 p 467

Students shall determine the moment and center of mass of an array of masses.

Students shall determine the moment and center of mass of a planar lamina.

5/26

 5/27

6.7  Fluid Pressure and Fluid Force

 

Read pp 470-475

Prob:  6, 8, 10, 12, 18, 24, 26 pp 474-475

Students shall determine the amount of fluid pressure and fluid force on a submerged surface.

 5/29

6/1

Ch 6 Review

6.1 #17, 19 p 418

6.2 #7, 13  p 428

6.3 #5   p 437

6.4 #5, 33 p 447-8

6.5 #11, 25, 37 pp  

          456-457

6.6 # 3, 17, 19

           p 467

6.7 # 17, 19 pp

           474-5

Students will review chapter concepts and objectives.

6/3

6/4

Ch 6 Test

 

Students will demonstrate proficiency in the above objectives at 70% or better.

6/4