Calculus: Chapter 5
Name____________________________________
The Definite Integral
Period___________________________________
Day
1
Topic
5.1 Estimating with finite sums
Distance traveled, rectangular approximation method (RAM), which RAM is biggest
(LRAM, MRAM, RRAM)? volume of a sphere, cardiac output.
Objective: To learn how to estimate area under the curve as a foundation for
understanding integral calculus.
2
5.2 Definite Integrals.
Riemann sums, terminology and notation of integration, definite integral and area,
constant functions, integrals on a calculator, discontinuous integrable functions.
Objective: To use the definite integral to find the area under the curve.
3
5.3 Definite integrals and antiderivatives.
Properties of definite integrals, average value of a function, mean value theorem for
definite integrals, connecting differential and integral calculus.
Objective: To be able to work with the properties of the definite integral as the
spring board for using the Fundamental Theorem of Calculus.
4
5.4 Fundamental theorem of calculus.
𝑥
function∫𝑎 𝑓(𝑡)𝑑𝑡,
Fundamental theorem part 1, graphing the
fundamental
theorem part 2, area connection, analyzing antiderivatives graphically.
Objective: To use the Fundamental Theorem of Calculus in analyzing graphs.
5
5.5 Trapezoid rule.
Trapezoid approximations, other algorithms, error analysis.
Objective: To estimate the area under the curve using the trapezoid rule or
Simpson’s rule.
6
Chapter 5 Review
7
Chapter 5 Test
I still have questions about:
Assignment
pp. 269-70 Quick Review 1-10
pp. 270-3; 1-29 odd;
31-36 all
pp. 282 Quick Review 1-10
pp. 282-3; 1-39 odd;
41-49 all
pp. 290 Quick Review 1-10
pp. 290-2; 1-35 odd; 45-50 all
pp. 293 Quick Quiz 1-4 all
pp. 302 Quick Review 1-10
pp. 302-4; 1-61 odd;
65-70 all
pp. 311 Quick Review 1-10
pp. 312-4; 1-27 odd; 31-36 all
pp. 315 Quick Quiz 1-4 all
pp. 315-8; 1-51 odd; 46, 54
Score
Homework Rubric
Score: 0
Score: 1
Score: 2
Score: 3
Score: 4
I didn’t do the assignment. I did 25% of the
homework.
I did 50% of the
homework.
I did 75% of the
homework on the day it
was due. I completed it by
the end of the unit exam.
I did 100% of the
homework on the day
it was due.
I copied the answers from
the back of the book.
I showed all of my work.
I showed all of my work.
I showed all of my work.
I showed all of my
work.
I checked all my answers
in the back of the
textbook.
I checked all my answers
in the back of the
textbook.
I checked all my answers
in the back of the
textbook.
I checked all my
answers in the back of
the textbook.
If I had questions, I
sought help, i.e. I
worked backwards by
knowing what the
answer in the back of
the book.
Where can I get help?
My classmates. Form a study group! Get phone numbers or
My parents or other adults. They are smarter than you think!
emails so that you can phone a friend when you are in the hot seat. Besides, it creates good bonding time.
My teacher. I’m usually in the Math Department Office (E200)
from 7:00-7:30am and 1:50-2:30 pm. every day. I have 4th period
planning so I can help you. My advisory is in F203 and you are
encouraged to get help from me during travel days.
The textbook and its tutorial website, www.interactmath.com.
Select Finney: Calculus: Graphical, Numerical, Algebraic (3e), then
select the current chapter and section. There are lots of practice
problems here. Try the Help Me Solve This button.
Free Tutoring. Let me know if you need a tutor.
The World Wide Web. Check out the documents and links at
http://teacher.edmonds.wednet.edu/edmondswoodway/wahbehs