MATH 150 - CALCULUS WITH ANALYTIC GEOMETRY I

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• NOTES FOR CHAPTER 5

(INTEGRALS)

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TABLE OF CONTENTS

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)

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

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.")

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)

Handout: Proof Without Words (Integral of Sine Squared)

Proof (pdf)

Applets on the FTC:

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

Section 5.7 (pdf)

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.")

Simpson's Rule: History and Possible Improvements (from Mathematics Magazine)

First page of article (pdf)

Chapter 5 Review

Chapter 5 Notes: 35 pages

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