This book is mainly adapted from the first four chapters of the open source calculus textbook titled APEX calculus, Version 3.0, by Gregory Hartman, department of applied mathematics, Virginia Military Institute. This complete calculus book is under the Creative Commons Attribution-NonCommercial-Share-Alike 4.0 International License. Chapter 2 is greatly modified in such a way that exponential, logarithmic, and trigonometric functions and their derivatives have their own sections. Also, the book is partly taken from the MATH 1174 lecture notes, by Pichmony Anhaouy, department of mathematics and statistics, Langara College. The main topics from the notes are economics and business applications in chapter 4, section 4.3, linear motion and marginal analysis in chapter 2, section 2.5. In addition, the topic linear approximation is added to section 4.4. We add two examples to section 1.5, three to section 1.4, one to section 2.3, and two examples showing how the chain rule is used in business problems to section 2.7. These examples can be found at the end of each section. More examples and exercises were added to new derivatives of trigonometric and inverse trigonometric functions.
The first three chapters of this book are mainly taken from chapters 5, 6, and 7 of the open source calculus textbook titled APEX calculus, Version 5.0, by Gregory Hartman, department of applied mathematics, Virginia Military Institute. The chapter on differential equations is authored by Ross Magi, available in chapter 20 of this version of the text. The complete calculus book is under the Creative Commons Attribution- NonCommercial-Share-Alike 4.0 International License. It is available for free at www.apexcalculus.com. The chapters on more applications and multivariate calculus are taken from Math 1274 lecture notes and the Multivariate calculus notebook, by Pichmony Anhaouy, department of mathematics and statistics, Langara College. The exercises for each section of these chapters are taken from Math 1274 problems book and Exercises multivariate calculus, by Ken Collins and Pichmony Anhaouy.
