logo资料库

Cracking the AP Calculus BC Exam, 2015 Edition普林斯顿AP微积分教材.pdf

发布时间：2022-06-22 发布人：admin 分类：说明书 资料大小：53.85M 资料格式：pdf 举报 版权申诉
第1页 / 共954页
第2页 / 共954页
第3页 / 共954页
第4页 / 共954页
第5页 / 共954页
第6页 / 共954页
第7页 / 共954页
第8页 / 共954页
资料共954页，剩余部分请下载后查看
    Title Page
    Copyright
    Acknowledgments
    Contents
    Part I: Using This Book to Improve Your AP Score
    Preview: Your Knowledge, Your Expectations
    Your Guide to Using This Book
    How to Begin
    Part II: About the AP Calculus BC Exam
    AB Calculus vs BC Calculus
    Structure of the Exam
    Overview of Content Topics
    General Overview of This Book
    How AP Exams Are Used
    Other Resources
    Designing Your Study Plan
    Part III: Test-Taking Strategies for the AP Calculus BC Exam
    1. How to Approach Multiple-Choice Questions
    2. How to Approach Free-Response Questions
    Part IV: Content Review for the AP Calculus BC Exam
    3. Limits
    What is a Limit?
    Limits of Trigonometric Functions
    Practice Problem Set 1
    4. Continuity
    The Definition of Continuity
    Types of Discontinuities
    Practice Problem Set 2
    5. The Definition of the Derivative
    Deriving the Formula
    Differentiability
    Practice Problem Set 3
    6. Basic Differentiation
    Notation
    The Power Rule
    The Addition Rule
    Higher Order Derivatives
    Practice Problem Set 4
    The Product Rule
    The Quotient Rule
    The Chain Rule
    Practice Problem Set 5
    Derivatives of Trig Functions
    Graphical Derivatives
    Practice Problem Set 6
    7. Implicit Differentiation
    How to Do It
    Second Derivatives
    Practice Problem Set 7
    8. Basic Applications of the Derivative
    Equations of Tangent Lines and Normal Lines
    Practice Problem Set 8
    The Mean Value Theorem for Derivatives
    Rolle’s Theorem
    Practice Problem Set 9
    9. Maxima and Minima
    Applied Maxima and Minima Problems
    Practice Problem Set 10
    Curve Sketching
    Practice Problem Set 11
    10. Motion
    Related Rates
    Practice Problem Set 12
    Position, Velocity, and Acceleration
    Practice Problem Set 13
    11. Exponential and Logarithmic Functions, Part One
    The Derivative of ln x
    The Derivative of ex
    The Derivative of logax
    The Derivative of ax
    Practice Problem Set 14
    12. Other Topics in Differential Calculus
    The Derivative of an Inverse Function
    Practice Problem Set 15
    Derivatives of Parametric Functions
    Practice Problem Set 16
    L’Hôpital’s Rule
    Practice Problem Set 17
    Differentials
    Practice Problem Set 18
    Logarithmic Differentiation
    Practice Problem Set 19
    13. The Integral
    The Antiderivative
    Integrals of Trig Functions
    Addition and Subtraction
    Practice Problem Set 20
    u-Substitution
    Practice Problem Set 21
    14. Definite Integrals
    Area Under a Curve
    Tabular Riemann Sums
    Practice Problem Set 22
    The Mean Value Theorem for Integrals
    Practice Problem Set 23
    15. Exponential and Logarithmic Functions, Part Two
    More Integrals of Trig Functions
    Integrating ex and ax
    Practice Problem Set 24
    16. The Area Between Two Curves
    Vertical Slices
    Horizontal Slices
    Practice Problem Set 25
    17. The Volume of a Solid of Revolution
    Washers and Disks
    Cylindrical Shells
    Volumes of Solids with Known Cross-Sections
    Practice Problem Set 26
    18. Integration by Parts
    The Formula
    Practice Problem Set 27
    19. Trig Functions
    Inverse Trig Functions
    Practice Problem Set 28
    Advanced Integrals of Trig Functions
    Practice Problem Set 29
    20. Other Applications of the Integral
    Length of a Curve
    Parametric Functions
    Practice Problem Set 30
    The Method of Partial Fractions
    Practice Problem Set 31
    Improper Integrals
    Practice Problem Set 32
    Calculus of Polar Curves
    Practice Problem Set 33
    21. Differential Equations
    Separation of Variables
    Euler’s Method
    Slope Fields
    Practice Problem Set 34
    22. Infinite Series
    Sequences and Series
    Geometric Series
    The Ratio Test
    Alternating Series
    Integral Test
    Comparison Test
    Power Series
    Taylor Series and Polynomials
    Practice Problem Set 35
    23. Answers to Practice Problem Sets
    Part V: Practice Tests
    24. Practice Test 1
    25. Practice Test 1 Answers and Explanations
    26. Practice Test 2
    27. Practice Test 2 Answers and Explanations
    Appendix
    About the Author
    Editorial Rob Franek, Senior VP, Publisher Casey Cornelius, VP Content Development Mary Beth Garrick, Director of Production Selena Coppock, Managing Editor Calvin Cato, Editor Colleen Day, Editor Aaron Riccio, Editor Meave Shelton, Editor Alyssa Wolff, Editorial Assistant Random House Publishing Team Tom Russell, Publisher Alison Stoltzfus, Publishing Manager Melinda Ackell, Associate Managing Editor Ellen Reed, Production Manager Kristin Lindner, Production Supervisor Andrea Lau, Designer The Princeton Review 24 Prime Parkway, Suite 201 Natick, MA 01760 E-mail: editorialsupport@review.com Copyright © 2014 by TPR Education IP Holdings, LLC. All rights reserved. Cover art © milos luzanin / Alamy Published in the United States by Random House LLC, New York, and simultaneously in Canada by Random House of Canada Limited, Toronto. A Penguin Random House Company. eBook ISBN: 978-0-8041-2483-6 Trade Paperback ISBN: 978-0-8041-2482-9 AP and Advanced Placement Program are registered trademarks of the College Board, which does not sponsor or endorse this product. The Princeton Review is not affiliated with Princeton University. Editors: Calvin S. Cato and Aaron Riccio Production Editor: Liz Rutzel Production Artist: Deborah A. Silvestrini 2015 Edition v3.1
    Acknowledgments First of all, I would like to thank Arnold Feingold and Peter B. Kahn for once again doing every problem, reading every word, and otherwise lending their invaluable assistance. I also want to thank Calvin Cato and Aaron Riccio for being terrific editors; Gary King for his first-rate reading, analysis, and contributions; and the production team of Liz Rutzel and Deborah Silvestrini. Thanks to Frank, without whose advice I never would have taken this path. Thanks to Jeffrey, Miriam, and Vicki for moral support. Thanks Mom. Finally, I would like to thank the people who really made all of this effort worthwhile—my students. I hope that I haven’t omitted anyone, but if I have, the fault is entirely mine. Aaron and Sasha, Aaron, Abby B., Abby F., Abby H., Abby L., Abbye, Abigail H., Aidan, Alec G, Alan M., Alec M., Alec R., Alex and Claire, Alex A., Alex B., Alex F., Alex D., Alex G., Alex H., Alex I., Alex S., Alex and Gabe, Alexa, Alexandra, Natalie and Jason, Alexes, Alexis and Brittany, Ali and Jon, Ali and Amy Z., Ali H., Alice, Alice C., Alicia, Alisha, Allie and Lauren, Allison and Andrew, Allison and Matt S., Allison R., Ally, Ally T., Aly and Lauren, Alyssa and Courtney, Amanda, Brittany, and Nick A., Amanda and Pamela B., Amanda C., Amanda H., Amanda M., Amanda R., Amanda S., Amber and Teal, Amparo, Andrea T., Andrea V., Andrew A., Andrew B., Andrew C., Andrew D., Andrew E., Andrew H., Andrew M., Andrew S., Andy and Sarah R., Andy and Allison, Angela, Angela F., Anisha, Ann, Anna C-S., Anna D., Anna and Jon, Anna and Max, Anna L., Anna M., Anna W., Annie, Annie W., Antonio, Anu, April, Ares, Ariadne, Ariane, Ariel, Arielle and Gabrielle, Arthur and Annie, Arya, Asheley and Freddy, Ashley A., Ashley K., Ashley and Sarah, Ashley and Lauren, Avra, Becca A., Becky B., Becky S., Becky H., Ben S., Ben and Andrew Y., Ben D., Ben S., Benjamin D., Benjamin H., Benji, Beth and Sarah, Bethany and Lesley, Betsy and Jon, Blythe, Bianca and Isabella, Bonnie, Bonnie C., Braedan, Brendan, Brett, Brett A., Brette and Josh, Brian, Brian C., Brian N., Brian W., Brian Z., Brigid, Brin,
    Brittany E., Brooke, Devon, and Megan, Brooke and Lindsay E., Butch, Caitlin, Caitlin F., Caitlin M., Caitlin and Anna S., Camilla and Eloise, Camryn, Caroline A., Caroline H., Caroline S., Caroline and Peter W., Carrie M., Catherine W., Chad, Channing, Charlie, Charlotte, Charlotte B., Charlotte M., Chelsea, Chloe, Chloe K., Chris B., Chris C., Chrissie, Christian, Christine, Christine W., Claire H., Clare, Claudia, Clio, Corey, Corinne, Coryn, Courtney and Keith, Courtney B., Courtney F., Courtney S., Craig, Dan M., Dana J., Dani and Adam, Daniel, Daniel and Jen, Daniella, Daniella C., Danielle and Andreas, Danielle and Nikki D., Danielle G., Danielle H., Danny K., Dara and Stacey, Dara M., Darcy, David B., David R., David S., Deborah and Matthew, Deniz and Destine, Deval, Devin, Devon and Jenna, Dilly, Dong Yi, Dora, Eairinn, Eddy, Elana, Eleanor K., Elexa and Nicky, Elisa, Eliza, Elizabeth, Elizabeth and Mary C., Elizabeth F., Ella, Ellie, Elly B., Emily A., Emily B., Emily and Allison, Emily and Catie A., Emily C., Emily G., Emily H., Emily K., Emily L., Emily and Pete M., Emily R., Emily R-H., Emily S., Emily T., Emma and Sophie, Eric N., Erica F., Erica H., Erica R., Erica S., Eric and Lauren, Erica and Annie, Erika, Erin, Erin I., Ethan, Eugenie, Eva, Evan, Eve H., Eve M., Frank, Gabby, Geoffrey, George and Julian., George M., Gloria, Gracie, Graham and Will, Greg, Greg F., Gussie, Hallie, Hannah C., Hannah J., Hannah R., Hannah and Paige, Harrison, Annabel and Gillian, Harry, Hayley and Tim D., Hazel, Heather D., Heather F., Heather and Gillian, Hernando and Vicki, Hilary and Lindsay, Hilary F., Holli, Holly G., Holly K., Honor, Ian, Ian P., Ingrid, Ira, Isa, Isabel, Isabella and Simone, Isabelle T., Ismini, Isobel, Ivy, Jacob and Kara, Jack, Jack B., Jackie and Vicky, Jackie, Jackie S., Jackson, Jaclyn and Adam, James S., Jamie, Jason P., Jason and Andrew, Jay, Jay K., Jae and Gideon, Jayne and Johnny, Jed D., Jed F., Jeffrey M., Jenna, Jen, Jenn N., Jennifer B., Jennifer W., Jenny K, Jenny and Missy, Jeremy C., Jeremy and Caleb, Jess, Jess P., Jesse, Jessica, Jessica and Eric H., Jessica L., Jessica T., Jessie, Jessie C., Jessie and Perry N., Jill, Jillian, Daniel and Olivia, Jillian S., Jimin, Jimmy C., Jimmy P., Joanna, Joanna C., Joanna G., Joanna M., Joanna and Julia M., Joanna W., Jocelyn, Jody and Kim, Joe B., Johanna, John, John and Dan, Jonah and Zoe, Jonathan G., Jonathan P., Jonathan W., Jordan C., Jordan and Blair F., Jordan G., Jordan P., Jordana, Jordyn, Josh and Jesse, Josh and Noah, Judie and Rob, Julia and Caroline, Julia, Julia G.,
    Julia H., Julia and Charlotte P., Julia T., Julie H., Julie and Dana, Julie P., Juliet, Kara B., Kara O., Kasia and Amy, Kat R., Kate D., Kate F., Kate G., Kate L., Kate P., Kate S., Kate W., Katie C., Katie F., Katherine C., Kathryn, Leslie, and Travis, Katie, Katie M., Katrina, Keith M., Kelly C., Kimberly, Kirsten, Kitty and Alex, Krista, Erika, and Karoline, Kristen, Kristen and Magan F., Laila and Olivia R., Laura F., Laura G., Laura R., Laura S., Laura T., Laura Z., Lauren and Eric, Lauren R., Lauren T., Lauren and Allie, Leah, Lee R., Leigh and Ruthie, Leigh, Lexi S., Lila, Lila M., Lilaj, Lili C., Lily, Lily M-R., LilyHayes, Lisbeth. and Charlotte, Lindsay F., Lindsay K., Lindsay L., Lindsay N., Lindsay R, Lindsay and Jessie S., Lindsey and Kari, Lisa, Liz D., Liz H., Liz M., Lizzie A., Lizzi B., Lizzie M., Lizzie W., Lizzy, Lizzy C., Lizzy R., Lizzy T., Louis, Lucas, Luke C., Lucinda, Lucy, Lucy D., Mackenzie, Maddie and JD, Maddie P., Maddy W., Madeline, Magnolia, Mara and Steffie, Marcia, Margaret S., Mariel C., Mariel L., Mariel S., Marielle K., Marielle S., Marietta, Marisa C., Marissa, Marnie and Sam, Mary M., Matt, Matthew B., Matthew K., Matt F., Matt G., Matt and Caroline, Matt V., Matthew G., Max B., Max and Chloe K., Max M., Maxx, Ben, and Sam, Maya and Rohit, Maya N., Meesh, Megan G., Melissa, Melissa and Ashley I., Meredith, Meredith and Gordie B., Meredith and Katie D., Meredith R., Meredith S-K., Michael and Dan, Michael H., Michael R., Michaela, Michal, Mike R., Miles, Milton, Miranda, Moira, Molly L., Molly R., Molly and Annie, Morgan, Morgan C., Morgan, Zoe, and Lila, Morgan K., Nadia and Alexis, NaEun, Nancy, Nanette, Naomi, Natalie and Andrew B., Natasha and Mikaela B., Natasha L., Nathania, Nico, Nick, Nicky S., Nicole B., Nicole J., Nicole N., Nicole P., Nicole S., Nidhi, Nikki G., Nina R., Nina V., Nora, Nushien, Oli and Arni, Oliver, Olivia and Daphne, Olivia P., Omar, Oren, Pam, Paige, Paul A., Peter, Philip and Peter, Phoebe, Pierce, Priscilla, Quanquan, Quinn and Chris, Rachel A, Rachel B., Rachel and Adam, Rachel H., Rachel I., Rachel and Jake, Rachel K., Rachel L., Rachel and Mitchell M., Rachel S., Rachel and Eli, Rachel and Steven, Rachel T., Rachel W., Ramit, Randi and Samantha, Rayna, Rebecca B., Rebecca G., Rebecca and Gaby K., Rebecca R., Rebecca W., Resala, Richard, Tina, and Alice, Richie D., Ricky, Rob L., Romanah, Rose, Ryan, Ryan B., Ryan S., Saahil, Sabrina, Sally, Sam C., Sam L., Sam R., Sam S., Sam W., Samantha M., Samuel C., Samar, Sara H., Sara L., Sara R., Sara S., Sara W., Sarah, Patty, and Kat,
    Sarah and Beth, Sarah A., Sarah C., Sarah D., Sarah F., Sarah G., Sarah and Michelle K., Sarah L., Sarah M-D., Sarah and Michael, Sarah S., Sascha, Samara, Saya, Selena G., Seung Woo, Shadae, Siegfried, Simon W., Simone, Sinead, Skye F., Skye L., Sofia G., Sofia M., Sonja, Sonja and Talya, Sophia J., Sophia S., Sophie and Tess, Sophie D., Sophie S., Sophie W., Stacey, Stacy, Stephanie, Stephanie L., Stephen C., Sumair, Sunaina, Suzie, Sydney, Sydney S., Tammy and Hayley, Tara and Max, Taylor, Tenley and Galen, Terrence, Tess, Timothy H., Tita, Tom, Torri, Tracy, Tracy K., Tripp H., Tripp W., Tyler, Tyrik, Vana, Vanessa and John, Veda, Vicky B., Victor Z., Victoria, Victoria H., Vinny and Eric, Vivek, Vladimir, Waleed, Will A., Will, Teddy and Ellie, William M., Wyatt and Ryan, Wyna, Xianyuan, Yakir, Yesha, Zach, Zach S., Zachary N., Zoë, Zoe L., and Zoey and Rachel.
    Contents Cover Title Page Copyright Acknowledgments Part I: Using This Book to Improve Your AP Score Preview: Your Knowledge, Your Expectations Your Guide to Using This Book How to Begin Part II: About the AP Calculus BC Exam AB Calculus vs BC Calculus Structure of the Exam Overview of Content Topics General Overview of This Book How AP Exams Are Used Other Resources Designing Your Study Plan Part III: Test-Taking Strategies for the AP Calculus BC Exam 1 How to Approach Multiple-Choice Questions 2 How to Approach Free-Response Questions Part IV: Content Review for the AP Calculus BC Exam 3 Limits What is a Limit? Limits of Trigonometric Functions Practice Problem Set 1 4 Continuity
    分享到：
    赞 收藏

    相关推荐

    资料库

    考试认证

    共收录20637份资料，累计11个分类，关注成员有19位，主要包括：真题,美赛,软考,PMP,Linux/Unix认证,思科认证,微软认证,Oracle认证,华为认证,软考等考,其它

    热门标签

    真题 美赛 软考 PMP Linux/Unix认证 思科认证 微软认证 Oracle认证 华为认证 软考等考 其它

    最新资料