IB Math ASL

Chapter 17: Introduction to Calculus

Introduction to Calculus and Average rates

from curved graphs and Instantaneous Rates of Change

(Video Only)

Section17A:  Limits

HMWK:

Exercise 17A:  

C-type:  1- 3 ace; 4

A-type:  5 acegi  and generate

graphical examples for which limit

as x → a of f(x) does not equal f(a)

Section 17B:  Limits at Infinity

HMWK:

Exercise 17B.1

C-type:  2 ace

A-type:  Write definitions of HA

Exercise 17B.2

C-type:  1 ace; 2

A-type:  5 ac.  Write Definitions of VA and ObliqueA

 

Section 17E-F – The Derivative Function &

the Derivative from 1st principles

HMWK:

Exercise 17E:

C-type:  1 - 3

A-type:  NA

Exercise 17F:

C-type:  1, 2b, 4a, 6

A-type:  8bc  

Be able to explain graphically

and in words why

f’(a) = limit as h → 0

of ( f(a+h) - f(a) ) / h is true.