AP Calculus, Chapter 2: Limits and Derivatives
Homework Assignments
It is my expectation that you will complete all homework assignments on time. I will
verify and give credit for completion of homework, but it is your responsibility to check
answers and be sure you understand the concepts. If you begin having trouble with a
problem, leave space, skip ahead, and see if there are other problems in the assignment you are
able to complete. Never leave a problem completely blank. Asterisk* problems are optional.
Write the problem and show steps for full credit. Notes must be included for a
homework assignment to be considered for full credit. If I am sometimes beneficent in my
grading, do not presume that such beneficence is the norm.
As usual, the notation refers to Chapter.Section.Day, so homework assignment 2.5.2
represents homework for Chapter 2, section 5, second day of homework.
N.B. (Nota bene – Latin for "note well," or "pay attention"!): Although I have not
included reading in the assignments, you will get the most out of instruction if you "read [or
skim] ahead" the section we will be covering next.
Assign#
2.1
2.1.1
Title/Content
The Tangent and Velocity Problems
Read the section. Do #1, 3, 7, 9.
2.2
2.2.1
The Limit of a Function
#1, 2, 3, 6, 9, 12, 13, 15, 23-25, 31, 39, 41.
2.3
2.3.1
2.3.2
Calculating the Limits Using Limit Laws
#2-4, 7, 9-12, 15, 18, 19.
#21-29 odd, 34, 36, 40, 46, 50, 51, 54.
2.4
2.4.1
2.4.2
2.4.3
The Precise [Epsilon-Delta] Definition of a Limit
Read section 2.4.
#3, 4, 7, 11, 14, 19, 23, 24, 29, 30.
Fix or redo 2.4.2 if necessary and add: #5, 15, 18, 21, 37*.
2.5
2.5.1
2.5.2
Continuity
#3-7 odd, 11, 15-19 odd, 23, 25, 29-37 odd.
Fix or redo 2.5.1 as necessary and add: #2-8 even, 10, 16, 32, 36, 40, 42-43, 47,
49, 52, 61*, and 63.
2.6
2.6.1
2.6.2
2.6.3
2.6.4
Limits at Infinity; Horizontal Asymptotes
Read section 2.6.
#3, 4, 7, 15-25 odd, 39, 41, 45, 55.
#2, 9, 10, 12, 18-24 even, 30, 33-34, 43, 46, 50, 57, 63.
Limits and Continuity Worksheet
2.7
2.7.1
2.7.2
2.7.3
2.8
2.8.1
2.8.2
Derivatives and Rates of Change
𝑠𝑖𝑛𝑥
Watch the Khan Academy proof of lim 𝑥 = 1.
𝑥→0
#1-3, 6, 9; 13-21 odd.
#11, 14, 22, 25; 33-37 all; 39; 42, 44, 48, 49.
The Derivative as a Function
#1-11 odd; 15, 16; 21-27 odd; 35; 37-40 all.
#4-10 even; 17, 26, 29; 43-46 all (and, yes, explain), 47, 53.
Review
 Concept Check
 True/False
 Sample Practice Exam
 Selected Exercises (YS – minimum 12).