* REVISED EDITION *

*is the definitive work to help you*

**The Stepping Stones to Calculus**prepare for the rigors of Calculus or to review mathematics for the SATs, GRE,

GMAT or other standardized math tests. The book includes a comprehensive review

of every topic that should be mastered before you begin a study of Calculus. Beginning

with the number line and fractions, through Geometry and Algebra, the book

culminates with the Advanced Algebra and pre-Calculus topics of: Quadratics,

Special Functions, Polynomials, Rational and Radical Functions, Exponential and

Logarithmic Functions, Trigonometry, Conics, and Sequences and

Series. THE

*NEW REVISED EDITION*

*INCLUDES: Statistics,*

Probability and Combinatorics to help in preparing for standardized tests.

Probability and Combinatorics to help in preparing for standardized tests.

Every chapter has a problem set with solutions to reinforce the lesson.

Think of this book as made up of 'chapter' summaries of each of the main topics that

need to be mastered before moving ahead in the mathematics world or the topics necessary for standardized tests.

The book was written for the

__soon-to-be Calculus student__who wants to review the pre-Calculus

mathematics topics, skills, and concepts prior to tackling the fun and challenging topics of Calculus. The book is also useful for

__any student__who is returning to school or taking a

lower level course--you can use all of the chapters or just a few to help you get a handle on the mathematics that you need.

__A parent or tutor__can use it to "bone up" on the math the student needs help with. And, this book gives

__teachers__a broader view of the curriculum and a chance to see how concepts link together. Teachers may use this book as a teaching aid: to see what has been learned prior to the class being taught, to help focus on their own curriculum, or to get some ideas of how to put topics together for the students.

*It is not so much a math textbook as a resource designed to make you feel like you are sitting in a vibrant classroom. My goal was to create a resource that breaks down concepts and synthesizes the math to help a person "see" it. I tried to show the logic of the processes, the connections between concepts, and include the most important rules and formulas a person needs to know. COLOR and handwriting is used throughout to emphasize key points, explain steps, and represent solutions. See my BLOGS for examples of pages from the book.*

ISBN: 978-0-615-44182-5

**S**

**piral bound, color throughout, 170 pages**

**If you have any questions or to order directly, please email:**

*steppingstonestocalculus@gmail.com***One copy - $26 (**

*includes*postage/shipping within US; contact us for costs for other locations)**T**

**en copies or more - $22 each (**

Add applicable taxes in Washington State

*includes*postage/shipping within US; contact us for costs for other locations)Add applicable taxes in Washington State

**TABLE OF CONTENTS**.

**Pre-Algebra Review**.

Real Number system

Number line

+/- numbers

Fractions/Decimals

Roots

**General Algebra**

Properties of Equality

Associative/commutative/distributive/identity and inverse.

Order of operations

Properties of Inequalities

Sets: union/intersection/intervals

Absolute Value

Distance between two points

**Geometry**

Angles

Lines

Polygons

Triangles

Properties of Quadrilaterals

Ratios, Proportions; Pythagorean Theorem

Circles

Areas of Common Figures

Volumes of common figures

**Lines**

Forms/equations

Solving

x and y intercepts

points of intersection

Linear inequalities

Regression lines

Vocabulary

**Quadratics**

Forms/equations

x and y intercepts

vertex

axis of symmetry

description of shape

Skills: factoring, quadratic formula, completing the square

Imaginary numbers

**Special Functions**

Absolute Value

Step

Inverse

Piecewise

**Polynomials**

General form/shape/equations/roots

Long Division

Synthetic Division

**Rational and Radical Functions**

General form/equations

Operations: Addition, subtraction, multiplication, division

Simplifying

Radical equations

Graphing

**Exponential and Logarithmic functions**

General form/equations

Properties

Logarithms

Graphing

**Trigonometry**

Right triangular

Circular

Graphical

Fundamental laws and identities: solve, simplify

General graphs

Inverses

**Conics**

General form/equations

Parabolas

Circles

Ellipses

Hyperbolas

**Sequences and series**(finite and infinite)

Arithmetic

Geometric

Series

Pascal's Triangle

Mathematical Induction

Solutions to Problem Sets

Solutions to Problem Sets

**:**

APPENDIX A

APPENDIX A

**Statistics, Probability, and Combinatorics**

**Line Plot, Bar Graph, Histogram, Box and Whisker Plots**