Unit 4 Integration Concepts & Techniques
This unit marks the midpoint of calculus one. As the former units discussed differentiation, this unit will establish its antithesis, antidifferentiation or integration. Students will discover that as differentiation involves velocity at a given point, integration involves area in a given boundary. The Fundamental Theorem of Calculus will be introduced to convey the basic connections between differentiation and integration. In addition, students will discover, prove and learn rules to integrate compositions, products and other types of functions. These integration rules will help to analyze particular graphical features of functions in the upcoming units.
DATES |
THE LECTURES |
HELPFUL VIDEOS |
ASSIGNMENTS |
October 5
|
page 270: 1-6, 16-18, 26, page 312: 7, 8
|
October 6
|
4.1 QUIZ
|
October 6 - October 12
|
page 316: 15-24, page 302: 5- 5 (odd)
|
October 13
|
page 338: 17-44
|
October 16
|
4.3 QUIZ
|
October 16 - October 17
|
October 18
|
4.4-4.5 QUIZ
|
October 18 - October 19
|
4.6 integration by parts.
*BC TOPIC ONLY |
page 346: 1-10
|
October 20 - October 23
|
4.7 partial fraction integration.
*BC TOPIC ONLY |
October 24
|
|
October 24 - October 25
|
4.8 improper integrals.
*BC TOPIC ONLY |
page 467: 5-24
|
October 26
UNIT 4 REVIEW BEFORE EXAMINATION* |
October 27
EXAMINATION DAY* |
UNIT 4 EXAMINATION
|
Sources
Textbook Finney, L., Waits, B., Demana, F., Kennedy, D. (2007). Calculus: Graphical, Numerical, Algebraic (3rd ed.). New Jersey: Prentice Hall.
Videos www.patrickjmt.com
Textbook Finney, L., Waits, B., Demana, F., Kennedy, D. (2007). Calculus: Graphical, Numerical, Algebraic (3rd ed.). New Jersey: Prentice Hall.
Videos www.patrickjmt.com