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MATH 221 FIRST SEMESTER CALCULUS

MATH 221 FIRST SEMESTERCALCULUS fall 2007 Typeset:December 11, 200712 Math 221 1st SEMESTER CalculusLecture notes version (Fall 2007)This is a self contained set of lecture notes for Math 221. The notes were written bySigurd Angenent, starting from an extensive collection of notes and problems compiled byJoel LATEX andPythonfiles which were used to produce these notes are available at thefollowing web angenent/Free-Lecture-NotesThey are meant to be freely available in the sense that free software is free.

6.4. Why use implicit functions? 17 6.5. Inverse functions 18 6.6. Examples 18 6.7. Inverse trigonometric functions 19 Exercises 19 II. Derivatives (1) 21 7. The tangent to a curve 21 8. An example – tangent to a parabola 22 9. Instantaneous velocity 23 10. Rates of change 24 Exercises 24 III. Limits and Continuous Functions 25 11. Informal ...

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