Basic calculus for senior high school / Sherelle Lou Sumera-Icutan.--

includes references.

Table of contents -- Dedication iii -- Preface v -- Chapter 1 Functions, limits, and continuity 1 -- Lesson 1.1 Definition and notation of function 3 -- Lesson 1.2 Types of function and their graphs 13 -- Lesson 1.3 Operations on functions 27 -- Lesson 1.4 Limit of a function and limit theorems 35 -- Lesson 1.5 Right hand limits and left-hand limit 47 -- Lesson 1.6 Infinite limits and limits at infinity 55 -- Lesson 1.7 Continuity of a function 73 -- Lesson 1.8 Continuity of the trigonometric functions 89 -- Chapter 2 Derivatives 105 -- Lesson 2.1 Definition of derivative 107 -- Lesson 2.2 Differentiation rules 115 -- Lesson 2.3 Derivatives of trigonometric functions 127 -- Lesson 2.4 Derivatives of exponential and logarithmic functions 137 -- Lesson 2.5 Higher order derivatives 145 -- Lesson 2.6 Behavior of functions 153 -- Lesson 2.7 Applications involving global maximum and minimum values 173 -- Lesson 2.8 Implicit differentiation 183 -- Lesson 2.9 Problems involving related rules 191 -- Chapter 3 Integrals 205 -- Lesson 3.1 Definition of indefinite integral 207 -- Lesson 3.2 Rules for integration 211 -- Lesson 3.3 Some techniques of integration 219 -- Lesson 3.4 Definite integral and second fundamental theorem of calculus 229 -- Lesson 3.5 Applications of definite integrals 239 -- Rules for differentiation 259 -- Rules for integration 260 -- References 263 --

"This book, Basic calculus (Second Edition), satisfies the minimum requirements of the department of education pertaining to its K to 12 Basic Curriculum. The topics and discussions presented here will surely give a maximum benefit to all of the Senior High School students taking the STEM (Science, Technology, Engineering and Mathematics) track. In this book, we present Calculus concepts that are essential in building students' confidence as they prepare themselves to Analysis subjects or higher mathematics courses in college. Discussions are limited to functions of a single variable. The lessons are presented in a complete and well-organized manner."