Integral  Calculus

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Introduction to Integration

Green Dots indicate items that must be handed in.

Lessons:

Due: May 6th
Before we try to add up some rectangles let's learn about the mathematics of adding a series (Summation)
Read the notes and Try the problems
Hand in a picture or screen shot of 
your quiz completed (must get 3/4)

Assignments:

Due: May 11th
Please go through ALL the lessons in the left column before attempting this assignment.
Very important Examples

Other Resources:

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Integration

Lessons:

Due: May 12th
  • Read Walzl Examples.
  • Complete the examples that have not been solved.
  • Answers at end of examples.

Assignments:

Due: May 13th
Think you got the hang of it?
​Try the Self TEST (ONLY #7-22)​ 
Solutions Provided at end of TEST
Workbook problems:
page 254  #1-7, 10-13, 14, 17
Page 256  #1,4,6
Page 257  #1, 4

The Fundamental Theorem of Calculus (Calculating Area)

Lessons:

Due: May 14th
Workbook problems:
page 293#1-7

Assignments:

Due: May 15th
Workbook problems:
page 302 #1-8 (They are looking 
for GROSS area)

Other Resources:

Finding The Area Between TWO Curves:

Lessons:

Due: May 21st
More Finding Area!...This time the finding the area bound between 2 curves.
Before we start, let's remind ourselves why we are so interested in finding area?
Because it's actually a super practical thing! Click on the application below to remind yourself of how awesome area is.

Assignments:

Assignments:

Workbook problems:
page 322:              
# 1-4 
page 324:
[EX2] #1
 
For the next batch of problems only do:
#1 a,b,c
#2 a,b
You can (and should) use your graphing calculator or an online graphing utility to graph the functions and bounded area before you begin

Other Resources:

Integration With Respect to  y

Assignments:

Workbook problems:
page 327 (good notes)             
page 328:
#1,2,5,6
 

Other Resources:

More Advanced integration techniques: Integration by parts.

Lessons:

Due: May 26th
So far our ability to integrate functions
is very limited.  we can integrate simple polynomials, trig functions, and not much else. 
Here we will take a look at a techique to integrate functions that are multiplied together like:
 

Assignments:

Due: May 26th
Please do the following questions on the worksheet below:
Sample Problems 1-4,10
Practice Problems 1,2,7,9,10,12,14 
 
Workbook problems:
page 273: #1-9
Use the integral table to assist you
(In the other resources section) 
 

Other Resources:

Print off and use this Integral Table.
Handy to have when you're working
on stuff.
 

Integration by U-Substitution

Lessons:

Due: May 29th
Excellent Videos.
Now try the examples below without looking at the solutions first.
 

Assignments:

Due: May 29th
Important!
  • only do 1-3 of By-Parts section
  • only do 1-12, 15-22 of U-Sub section
  • the rest are bonus
Workbook problems:
page 266:
#1-9,11,12
Bonus: 13,14
 

Other Resources:

Volume - Disk Method

Assignments:

Due: June 2nd
Workbook problems:
page 331:
#1-6
 
Workbook problems:
page 333
#1-4
 

Other Resources:

Volume - Washer Method

Assignments:

Due: June 3rd
Workbook
Read page 337 (excellent presentation of this method)
Problems:
page 338 #1-5
page 339 Example-great!
page 240 #1-3
 

Other Resources:

Differential Equations - The last section of new material! Yeah!

Assignments:

Due: June 8th
Workbook
Page 354 #1-5, 7
 

Differential Equations - Applications 

Assignments:

Due: June 8th
Workbook
Page 359 #1-4
That's it! we're done almost done
the  course!
Look for a"Self-Exam" posted
June 8th 
 

Other Resources:

Calculus 12 Course - Self Exam 

Lessons:

Avoid the following on the Limits Exam: #17,34,42, and second#11
 

Other Resources: