AP Calculus AB
Chapter 1 Syllabus*
Day
1
Date
Section
Topic
Welcome/ “Math Fact or
Wishful Thinking”
Assignment
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•
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Print:
o Class Syllabus
o Ch 1 HW Syllabus
Study the LOF!
AP Contract
Parent Information Google Form
Pg. 72: (1, 3, 17 – 29 odd, 65, 80)
Pg. 84: (11 – 43 eoo)
Pg. 84: (55 – 81 odd, 94, 95, 122)
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Pg. 96: (7-27 odd, 128)
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1.5-1.6 Worksheet
SET A
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Pg. 96: (43, 45, 49, 51, 57, 65, 67,
91, 99, 125-127)
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Ch 1 Review Worksheet
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2
1.2
3
1.3
4
Evaluating Limits Numerically
and Graphically
Evaluating Limits Analytically
Quiz 1.2 & 1.3
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1967 AB7/BC6
1.4
Continuity and One Sided
Limits – One Sided Limits, Limits
with Piecewise Functions, Absolute
Value Functions and Greatest Integer
Functions
5
1.5/1.6
Infinite Limits & Limits at
Infinity
1982 AB 2
6
1.4
Continuity and One Sided
Limits – Continuity & Intermediate
Value Theorem
7
1976 AB 2
Quiz 1.4, 1.5 & 3.5
8
Ch 1 Review
Chapter 1 Test
* This syllabus is subject to change
*eoo – “Every Other Odd”
*Odd Answers can be found at: www.CalcChat.com
Set A
Find the vertical and horizontal
asymptotes (if any). Justify your answers
using limits.
1
a) f ( x ) = 2
x
x 2 −1
b) f ( x ) = 2
x + 3x − 4
2x
c) f ( x ) =
x 2 +1
Ch 1 Free Response Questions
a)
• Horizontal: y = 0 since
1
lim 2 = 0
x→∞ x
• Vertical: x = 0 since
1
lim+ 2 = ∞
x→0 x
SET A Answers
b)
• Horizontal: y = 1 since
x 2 −1
lim 2
=1
x→∞ x + 3x − 4
• Vertical: x = −4 since
x 2 −1
lim
= −∞
x→−4+ x 2 + 3x − 4
c)
• Horizontal: y = 2 since
2x
lim
= 2 and y = −2
x→∞
x 2 +1
2x
since lim
= −2
x→−∞
x 2 +1
• Vertical: none!