Unit 1 Limits, Continuity & Derivative Concepts
In this introductory unit, students will explore the foundational aspects of calculus by learning the elementary concept of limits and discovering how limits relate to the continuity of functions. Students will be able to flow between the different representations of mathematics (i.e. analytic, graphic, algebraic, and verbal) at any given time to express solutions. Students will also connect the calculus ideas of a limit with how it relates to velocity by investigating how average velocity relates to instantaneous velocity and discover the practical applications of these newly formed ideas. In addition, students will learn how derivatives can be used as instruments to determine instantaneous velocity.
DATES |
THE LECTURES |
HELPFUL VIDEOS |
ASSIGNMENTS |
August 7
|
none
|
August 8 - August 9
|
page 66: 29-30, 37-44, 45-48
|
August 10
|
1.1 QUIZ
|
August 10 - August 11
|
page 66: 19-23
|
August 14
|
page 76: 39-44
|
August 15
|
|
August 16
|
1.2-1.3 QUIZ
|
August 16
|
page 84: 1-5, 11-18, 19-22 (odd), 23, 24, 41-44
|
August 17
|
page 92: 1, 2, 7, 8, 9-13, 23, 24
|
August 18
|
1.4-1.5 QUIZ
|
August 18
|
page 105: 1-3, 5-8
(find the slope of tangent lines at the indicated a value by using algebra) |
August 22
|
page 114: 1-4, 5-10, 40, 41,
11-16 (use graphing calculator to help) |
August 23
UNIT 1 REVIEW BEFORE EXAMINATION* |
August 24
EXAMINATION DAY* |
UNIT 1 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