calculus c notes - chapter 10

12
Chapter 10 Parametric Equations and Polar Coordinates 10-1 Curves Defined by Parametric Equations 10-2 Calculus with Parametric Curves 10-3 Polar Coordinates 10-4 Areas and Arc Lengths in Polar Coordinates 10-6 Conic Sections in Polar Coordinates The following notes are for the Calculus C (SDSU Math 151) classes I teach at Torrey Pines High School. I wrote and modified these notes over several semesters. The explanations are my own; however, I borrowed several examples and diagrams from the textbooks* my classes used while I taught the course. Over time, I have changed some examples and have forgotten which ones came from which sources. Also, I have chosen to keep the notes in my own handwriting rather than type to maintain their informality and to avoid the tedious task of typing so many formulas, equations, and diagrams. These notes are free for use by my current and former students. If other calculus students and teachers find these notes useful, I would be happy to know that my work was helpful. - Abby Brown * , 6th & 4th editions, James Stewart, ©2007 & 1999 Brooks/Cole Publishing Company, ISBN 0-495-01166-5 & 0-534-36298-2. (Chapter, section, page, and formula numbers refer to the 6th edition of this text.) , 5th edition, Roland E. Larson, Robert P. Hostetler, & Bruce H. Edwards, Calculus: Early Transcendentals *Calculus ©1994 D. C. Heath and Company, ISBN 0-669-35335-3. SDUHSD Abby Brown Calculus II/C SDSU Math 151 www.abbymath.com San Diego, CA Name: ___________________________________ www.abbymath.com - Ch. 10 Page 1 of 12

Upload: vudan

Post on 02-Jan-2017

233 views

Category:

Documents


0 download

TRANSCRIPT

Page 1: Calculus C Notes - Chapter 10

Chapter 10Parametric Equations andPolar Coordinates

10-1 Curves Defined by Parametric Equations10-2 Calculus with Parametric Curves10-3 Polar Coordinates10-4 Areas and Arc Lengths in Polar Coordinates10-6 Conic Sections in Polar Coordinates

The following notes are for the Calculus C (SDSU Math 151)classes I teach at Torrey Pines High School. I wrote andmodified these notes over several semesters. Theexplanations are my own; however, I borrowed severalexamples and diagrams from the textbooks* my classes usedwhile I taught the course. Over time, I have changed someexamples and have forgotten which ones came from whichsources. Also, I have chosen to keep the notes in my ownhandwriting rather than type to maintain their informalityand to avoid the tedious task of typing so many formulas,equations, and diagrams. These notes are free for use by mycurrent and former students. If other calculus students andteachers find these notes useful, I would be happy to knowthat my work was helpful. - Abby Brown

* , 6th & 4th editions, James Stewart, ©2007 & 1999Brooks/Cole Publishing Company, ISBN 0-495-01166-5 & 0-534-36298-2.(Chapter, section, page, and formula numbers refer to the 6th edition of this text.)

, 5th edition, Roland E. Larson, Robert P. Hostetler, & Bruce H. Edwards,

Calculus: Early Transcendentals

*Calculus ©1994D. C. Heath and Company, ISBN 0-669-35335-3.

SDUHSD

Abby Brown

Calculus II/CSDSU Math 151

www.abbymath.comSan Diego, CA

Name: ___________________________________ www.abbymath.com - Ch. 10

Page 1 of 12

Page 2: Calculus C Notes - Chapter 10

Name: ___________________________________ www.abbymath.com - Ch. 10

Page 2 of 12

Page 3: Calculus C Notes - Chapter 10

Name: ___________________________________ www.abbymath.com - Ch. 10

Page 3 of 12

Page 4: Calculus C Notes - Chapter 10

Name: ___________________________________ www.abbymath.com - Ch. 10

Page 4 of 12

Page 5: Calculus C Notes - Chapter 10

1 1

1

1

Name: ___________________________________ www.abbymath.com - Ch. 10

Page 5 of 12

Page 6: Calculus C Notes - Chapter 10

Name: ___________________________________ www.abbymath.com - Ch. 10

Page 6 of 12

Page 7: Calculus C Notes - Chapter 10

Name: ___________________________________ www.abbymath.com - Ch. 10

Page 7 of 12

Page 8: Calculus C Notes - Chapter 10

3 3

3

3

0.1 0.2

0.1

0.2

0.32 2

4

Name: ___________________________________ www.abbymath.com - Ch. 10

Page 8 of 12

Page 9: Calculus C Notes - Chapter 10

Name: ___________________________________ www.abbymath.com - Ch. 10

Page 9 of 12

Page 10: Calculus C Notes - Chapter 10

Name: ___________________________________ www.abbymath.com - Ch. 10

Page 10 of 12

Page 11: Calculus C Notes - Chapter 10

Name: ___________________________________ www.abbymath.com - Ch. 10

Page 11 of 12

Page 12: Calculus C Notes - Chapter 10

Name: ___________________________________ www.abbymath.com - Ch. 10

Page 12 of 12