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MATH 221 FIRST SEMESTER CALCULUS

MATH 221 FIRST SEMESTERCALCULUS fall 2009 Typeset:June 8, 20101 MATH 221 1st SEMESTER CALCULUSLECTURE NOTES VERSION (fall 2009)This is a self contained set of lecture notes for Math 221. The notes were written by Sigurd Angenent, startingfrom an extensive collection of notes and problems compiled by Joel Robbin. The LATEX andPythonfileswhich were used to produce these notes are available at the following web ~angenent/Free-Lecture-NotesThey are meant to be freely available in the sense that free software is free. More precisely:Copyright (c) 2006 Sigurd B. Angenent. Permission is granted to copy, distribute and/ormodify this document under the terms of the GNU Free Documentation License, or any later version published by the Free Software Foundation; with no InvariantSections, no Front-Cover Texts, and no Back-Cover Texts.

8. Exponential growth and decay86 9. Exercises87 Chapter 7. The Integral91 1. Area under a Graph91 2. When fchanges its sign92 3. The Fundamental Theorem of Calculus93 4. Exercises94 5. The inde nite integral95 6. Properties of the Integral97 7. The de nite integral as a function of its integration bounds98 8. Method of substitution99 9 ...

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