Download BC Ch 4 Assignment Sheet 16-17

AP Calculus BC
Chapter 4 – Integration
DATE
W,
11-9
SCORE
LESSON/ASSESSMENT
Objectives


Th,
11-10
F,
11-11


Write the general solution
of a differential equation.
Use indefinite integral
notation for antiderivatives.
Use basic integration rules
to find antiderivatives.
Find a particular solution of
a differential equation.



Use sigma notation to write
and evaluate a sum.
Understand the concept of
area.
Approximate the area of a
plane region.
Find the area of a plane
region using limits.
Objectives

Tu,
11-15


W,
11-16



Th,
11-17


Page 255: 9-42
mo3
Page 255: 59, 64,
70, 78, 81-84, 90-97
How is the limit process used to find area under
a curve?
Page 267: 10, 11,
21, 27, 33
Page 267: 37, 57-69
mo3, 73, 81-88
4.3 Riemann Sums and Definite Integrals
Essential Question
Understand the definition of
a Riemann sum.
Evaluate a definite integral
using limits.
Evaluate a definite integral
using properties of definite
integrals.
Objectives
Why must an antiderivative include a constant
of integration?
4.2 Area
Essential Question
Objectives

M,
11-14
4.1 Antiderivatives and Indefinite Integration
Essential Question
HOMEWORK
What is the difference between a definite
integral and an indefinite integral?
Page 279: 3, 4, 1545 mo3, 47, 48, 52,
57, 65-70
4.4 The Fundamental Theorem of Calculus
Essential Question
Evaluate a definite integral
using the Fundamental
Theorem of Calculus.
Understand and use the
Mean Value Theorem for
Integrals.
Find the average value of a
function over a closed
interval.
Understand and use the
Second Fundamental
Theorem of Calculus.
Understand and use the Net
Change Theorem.
What are the guidelines for using the
Fundamental Theorem of Calculus?
Page 293: 6-39
mo3, 51, 53-60
Page 293: 66, 67,
73, 81-92, 94, 97109 odd, 113, 114
F,
11-18
M,
11-21
Tu,
11-22
Objectives
M,
11-28



Tu,
11-29


4.1-4.4 Test Review
Study for Test
4.1-4.4 Test Part I
Study for Test
4.1-4.4 Test Part II
None
4.5 Integration by Substitution
Essential Question
Use pattern recognition to
find an indefinite integral.
Use a change of variables to
find an indefinite integral.
Use the General Power
Rule for Integration to find
an indefinite integral.
Use a change of variables to
evaluate a definite integral.
Evaluate a definite integral
involving an even or odd
function.
W,
11-30



F,
12-2
M,
12-5
Tu,
12-6
Page 306: 12-39
mo3, 48-66 mo3,
67
Page 195: 37, 41,
61, 66, 68, 70, 9194
4.1-4.5 Stations
Objectives
Th,
12-1
What are the guidelines for making a change of
variables for indefinite integrals and definite
integrals?
Complete Stations
4.6 Numerical Integration
Essential Question
Approximate a definite
integral using the
Trapezoidal Rule.
Approximate a definite
integral using Simpson’s
Rule.
Analyze the approximate
errors in the Trapezoidal
Rule and Simpson’s Rule.
When would the Trapezoidal Rule be used?
Page 316: 3-18
mo3 (Trapezoidal
Rule only), 39(a),
46(a), 52
Chapter 4 Stations
Study for Test
4.5-4.5 Test I
Study for Test
4.5-4.6 Test II
None