MATH 150 - CALCULUS WITH ANALYTIC GEOMETRY I

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• NOTES FOR CHAPTER 5

(INTEGRALS)

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TABLE OF CONTENTS (relevant from Ch.3 on)

BIG FILE: Chapter 5 notes (handwritten).

SMALLER FILES (if you can’t get the big file):

Mathematica Does Integrals!: http://integrals.wolfram.com/

Section 5.1 (pdf)

Section 5.2 (pdf)

• CORRECTIONS

Section 5.2, last example: In the line with the last integral sign, replace “+ C” with “du.”

Section 5.4 (pdf) (fusion of Sections 5.4 and 5.3)

Animation for numerical approximations of definite integrals (Riemann sums):

https://en.wikipedia.org/wiki/Riemann_integral

Applet:

http://www.math.ucla.edu/~ronmiech/Java_Applets/index.html

(Click on "Introduction to Integration: Riemann Sums, Simpson's Rule.")

Section 5.5 (pdf)

Section 5.5: For more on average value, see my Math 121 notes for 5.4.1 to 5.4.2.

Click here: M1210504.pdf

Section 5.6 (pdf)

Applets on the FTC:

http://ugrad.math.ubc.ca/coursedoc/math101/notes/integration/ftc.html

Section 5.7 (pdf)

See also Section 5.4 above for Riemann approximations.

Applet for numerical approximations of definite integrals:

http://www.math.ucla.edu/~ronmiech/Java_Applets/index.html

(Click on "Introduction to Integration: Riemann Sums, Simpson's Rule.")

Animation for numerical approximations of definite integrals (Trapezoidal Rule):

http://en.wikipedia.org/wiki/Trapezoidal_rule

Animation for numerical approximations of definite integrals (Simpson’s Rule):

https://en.wikipedia.org/wiki/Simpson%27s_rule

 

Chapter 5 Review

Chapter 5 Notes: 35 pages

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