This textbook is unique.
It provides all the required material for successful completion of AP Calculus AB even for a student working alone. Simple explanations of complex ideas are followed by a variety of worked examples. Each chapter contains many worksheets offering a very wide selection of problems; multiple-choice, calculator, non-calculator, practical, theoretical, graphical. Answers appear directly after each worksheet. There are far more problems than would normally be assigned and hence the textbook is quite enough on its own. Many of the problems are original accumulated over decades from actual classroom settings. The excellent exam results of our students, while using this book, are a testament to its value.
Roger Allen and Jack Koenka
Contact Jack Koenka at email@example.com or Roger Allen at firstname.lastname@example.org
Table of Contents
Chapter 1: Introduction to Slope of a Curved Line
Chapter 2: First Principles
Chapter 3: Graphing Polynomial and Rational Functions
Chapter 4: Limits
Chapter 5: Implicit Differentiation
Chapter 6: Maximum/Minimum Problems
Chapter 7: Position, Velocity, Acceleration
Chapter 8: Related Rates
Chapter 9: Trigonometry
Chapter 10: Logarithms and Exponential Functions
Chapter 11: Linear Tangent Approximations and Euler's Method
Chapter 12: Integration
Chapter 13: Definite Integrals
Chapter 14: Position, Velocity, Acceleration II
Chapter 15: Differential Equations
Chapter 16: Volumes of Solids of Revolution
Chapter 17: Further Integration Techniques
Jack Koenka at email@example.com
or Roger Allen at firstname.lastname@example.org
Jack Koenka has a B. Math (University of Waterloo) and a B. Ed (University of Toronto). He taught high school mathematics for 30 years. The first 18 years he taught at Upper Canada College in Toronto, including seven years as the head of department. He was the head of the Mathematics Department at Havergal College for 12 years, where he taught AP Calculus, achieving excellent results for his students. Jack Koenka received a Descartes Medal for Outstanding Teaching awarded by the University of Waterloo in 2004. He is also on the Cayley Contest Committee, developing problems for the Canadian Mathematics Competitions. He is now working as a mathematics consultant at Ryerson University in Toronto.
Roger Allen, educated in Great Britain, Canada and U.S.A., has taught mathematics for over 30 years at the high school and university level. He holds a B.A. (University of Victoria) and M.A. (Duke) and taught for 22 years at Upper Canada College where he was Head of the Mathematics Department for ten years. He has also taught at United World Colleges in U.S.A. and Africa. He has very wide experience of teaching A.P. Calculus both AB and BC. Roger taught at Havergal College in Toronto for 7 years, more recently at Armand Hammer United World College near Santa Fe, New Mexico and at the University of Toronto Schools.
Note From the Authors
Feel free to contact Jack Koenka at email@example.com or Roger Allen at firstname.lastname@example.org Either of them will be very pleased to give free advice on questions and/or to visit schools to give seminars.
Teachers who order a class set of 35 books or more will be provided with a free pdf file.