AP Calculus BC
Day
Unit 1 Assignments
L’Hospital’s Rule -- Improper Integrals --Direction Fields and Euler’s Method
Topic: Essential Question
Assignment
1&2
3&4
5 Sec. 4.7
Monday
Jan 14th
Review of Differentiation and Integration
EQ: What are some important concepts that need to be used
in BC?
AP Free Response Questions and Group Work on
challenging questions
EQ: What are some of the thought processes that will need
to be used in BC?
4.7 L’Hopital’s Rule and Indeterminate Form
EQ: How can L’Hopital’s Rule help find limits of functions
in indeterminate form?
BC Calculus Review
BC Quick Graphs
AP: 1996 #1, 3, 4, 6 (Due next
Tuesday)
BC Miscellaneous Problems (Group
work: 8 problems)
p. 277 #27-41 every other odd,4348,54,57
L’Hospital’s Rule WS
M.Calc.1.17 Applying Calculus Concepts:
The learner will be able to apply L’Hospital’s Rule
6 Sec. 7.7
Tuesday
Jan 15th
7.7 Improper Integrals
EQ: How do you find the definite integral of functions with
unbounded regions?
p. 474 #5-45 every other odd
Use Calculator to get integral for #29
M. Calc.1.12 Integration: Substitution
The learner will be able to integrate using substitution, by
changing variables, etc.
M.Calc. 1.13 Limits: Infinity
The learner will be able to describe asymptotic behavior in terms
of limits involving infinity
7 Sec.7.7
Wed Jan
18th
Thursday
8 &9
Sec.9.3
Friday &
Tuesday
Jan18/Jan22
7.7 Improper Integrals (cont.)
EQ: How do you find the definite integral of functions with
unbounded regions?
Station Activity in small groups
9.3 Directions Fields, Euler’s method, and
Differential Equations
EQ: How can you find an antiderivative graphically,
algebraically and numerically?
9 Wed
Jan 23
Continued/Review
10 Friday
Jan 24th
Test
M.Calc.1.10 Integration:Define/Use/Properties
The learner will be able to define the antiderivative and apply its
properties to problems
1
n
54)
e
m

dx
p>1, p=1. 66) converges by comparison to  3
2
1 x
p. 537 8) i)c ii) b iii) f iv) d v) a vi) e
Even Answers: p. 277 #44) e 46) 1 48)
p.474: 51,53,56,65-67,71,73
Best Book Assignment
p. 537: 8,9,11,13 (Find y(0.5) instead
of y(1)—answer will be 0.097),
15-19 odd
Separable Differential Equations
Euler Approximation
Review
2002B #5
Calculus by Dick and Patton, Chapter
8 Lab (Group)
Create a summary of all the diverse
topics in this unit
p. 474 #56) Prove each case individually: p<1,