Basic calculus : For senior high school / Neil Jerome A. Egarguin [and 2 others]

K to 12 Compliant.

Includes glossary, index, and references.

Chapter 1 : Limits and continuity. -- Chapter 2 : Basic concepts of derivatives and their applications. -- Chapter 3 : Integrals.

These learning modules are intended as the primary learning material for the Basic
Calculus course in senior high school. It contains the main definitions, theorems, operations,
formulas and techniques for the course. The material includes numerous worked-out examples to
help you understand the different principles and gain proficiency in the various problem-solving
skills and techniques. Calculus is one of the most important inventions of modern mathematics. As a theory, it possesses the rigor and aesthetics of a typical mathematical discourse. However, unlike most mathematical theories, it is directly in the center of various practical and real-world applications. Calculus lends itself in virtually almost all scientific fields of the contemporary world. It is now recognized as one of the primary tools any professional and scientist must have. This is why the introduction of the subject in the basic education curriculum is a welcome development. At an early age, aspiring scientists, engineers, mathematicians and professionals will be introduced to what will become one of their lifelong tools. They are expected to gain mastery of the basic and fundamental concepts of the course such as the notion of limits, derivatives and integrals - concepts to which all of calculus is based. This will pave the way for a more rigorous treatment of the subject, both on its theoretical and applied aspects once they enter higher education institutions. The material presented in this book follows the unusual treatment of calculus in the tertiary level. However, the language of the book and the delivery of the discussions were adapted to suit the needs of senior high school students. This was done without sacrificing the depth and rigor expected of any first course on calculus. This is to ensure that students are not only taught the techniques and mechanical skills but more importantly develop the critical and analytic skills that will make them better problem solvers. The best way to make them good problem solvers is not to merely give them calculus as a tool, but to make them realize and appreciate what calculus has to offer. The authors hope that students, with the aid of their teachers, enjoy their journey through this book. Hopefully, they will appreciate the beauty and power mathematics can put in their fingertips.