University of Cebu-Banilad Library

Includes bibliographical references, glossary, and index.

Contents: Preface — List of figures — Unit 1 Analytic geometry — Lesson 1-1 The circle — Lesson 1-2 The Parabola — Lesson 1-3 The ellipse — Lesson 1-4 The hyperbola — Lesson 1-5 The general second-degree equation — Lesson 1-6 System of nonlinear equations — Unit exercise — Unit 2 Sequences, series, and mathematical induction — Lesson 2-1 Sequence, series, and the sigma notation — Lesson 2-2 The principle of mathematical induction — Lesson 2-3 Arithmetic sequences and series — Lesson 2-4 Geometric sequences and series — Lesson 2-5 The binomial theorem — Unit exercises — Unit 3 Trigonometry — Lesson 3-1 Angles and angular measure — Lesson 3-2 The unit circle — Lesson 3-3 The circular functions — Lesson 3-4 Properties of sine and cosine functions — Lesson 3-5 Properties of other circular functions — Lesson 3-6 Fundamental identities —Lesson 3-8 Double-angle and hald-angle identities — Lesson 3-9 Inverse circular functions — Lesson 3-10 Equations involving circular functions — Lesson 3-11 Application of circular functions — Lesson 3-12 The polar coordinate system — Unit exercises — Glossary — Index — References.

"PRE-CALCULUSis a book tailored to comprehensively cover the needs of a present-day grade 11 student in the K to 12 curriculum. This specifically provides the necessary hack ground and training essential to students in the Science, Technology, Engineering, and Mathematics (STEM) strand.

This book is organized into three units: ANALYTIC GEOMETRY This unit provides a detailed discussion on two major topics on analytic geometry namely, conic sections and systems of nonlinear equations. Properties of conics and their degenerates are thoroughly presented through the discussion, examples, and answered exercises. The last lesson discusses systems of nonlinear equations and explains how such systems can be solved through substitution and elimination methods, and how to verify solutions through graphs This chapter also touches on the solution of situational problems using conic sections and systems of nonlinear equations.

SEQUENCES, SERIES, AND MATHEMATICAL INDUCTION This unit opens with a general discussion of sequences and series as well as their different representations. This is followed by an introduction to the Principle of Mathematical Induction, which will serve as basis for the proofs of theorems in the succeeding lessons. Arithmetic and geometric sequences, their corresponding series, and the expansion of a power of a binomial using the Pascal's Triangle are the focus of the subsequent lessons. This unit can be discussed independent of Analytic Geometry and Trigonometry.

TRIGONOMETRY This unit gives detailed discussions about angles and the circular function values at these angles. These are supplemented with the properties and identities involving circular functions and their inverses. Applications of these concepts are illustrated in the real-world problems included in this unit." —Preface

Adolescence

Purchased Maleen Grafilo-Ordiz Senior High School Mathematics

Purchased Maleen Grafilo-Ordiz Senior High School Mathematics

Purchased Maleen Grafilo-Ordiz Senior High School Mathematics

Purchased Maleen Grafilo-Ordiz Senior High School Mathematics

Purchased Maleen Grafilo-Ordiz Senior High School Mathematics

Purchased Maleen Grafilo-Ordiz Senior High School Mathematics

Purchased Maleen Grafilo-Ordiz Senior High School Mathematics

Purchased Maleen Grafilo-Ordiz Senior High School Mathematics

Purchased Maleen Grafilo-Ordiz Senior High School Mathematics

Text in English