Master Math : Pre-Calculus and Geometry (Master Math Series)

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Summary: Table of Contents
Review: Master Math: Pre-Calculus Table of Contents

Introduction

Chapter 1 Geometry

1.1. Lines and angles 1.2. Polygons 1.3. Triangles 1.4. Quadrilaterals (four sided polygons) 1.5. Circles 1.6. Perimeter and area of planar two-dimensional shapes 1.7. Volume and surface area of three-dimensional objects 1.8. Vectors

Chapter 2 Trigonometry

2.1. Introduction 2.2. General trigonometric functions 2.3. Addition, subtraction and multiplication of two angles 2.4. Oblique triangles 2.5. Graphs of cosine, sine, tangent, secant, cosecant and cotangent 2.6. Relationship between trigonometric and exponential functions 2.7. Hyperbolic functions

Chapter 3 Sets and Functions 3.1. Sets 3.2. Functions

Chapter 4 Sequences, Progressions and Series

4.1. Sequences 4.2. Arithmetic progressions 4.3. Geometric progressions 4.4. Series 4.5. Infinite series: convergence and divergence 4.6. Tests for convergence of infinite series 4.7. The power series 4.8. Expanding functions into series 4.9. The binomial expansion

Chapter 5 Limits

5.1. Introduction to limits 5.2. Limits and continuity

Chapter 6 Introduction to the Derivative

6.1. Definition 6.2. Evaluating derivatives 6.3. Differentiating multivariable functions 6.4. Differentiating polynomials 6.5. Derivatives and graphs of functions 6.6. Adding and subtracting derivatives of functions 6.7. Multiple or repeated derivatives of a function 6.8. Derivatives of products and powers of functions 6.9. Derivatives of quotients of functions 6.10. The chain rule for differentiating complicated functions 6.11. Differentiation of implicit vs. explicit functions 6.12. Using derivatives to determine the shape of the graph of a function (minimum and maximum points) 6.13. Other rules of differentiation 6.14. An application of differentiation: curvilinear motion

Chapter 7 Introduction to the Integral

7.1. Definition of the antiderivative or indefinite integral 7.2. Properties of the antiderivative or indefinite integral 7.3. Examples of common indefinite integrals 7.4. Definition and evaluation of the definite integral 7.5. The integral and the area under the curve in graphs of functions 7.6. Integrals and volume 7.7. Even functions, odd functions and symmetry 7.8. Properties of the definite integral 7.9. Methods for evaluating complex integrals; integration by parts, substitution and tables

Index

Appendix Tables of Contents of First and Second Books in the Master Math Series

Rating:
Summary: Great book. Lots of good trig.
Review: This book is pretty small but it gives great explanations of geometric shapes, angles, and trig functions like tan, sin, cos, and others. It's straight to the point and I learned from it very quickly. I highly suggest getting this book before moving on to a more advanced, or even just a regular geometry or trig book.