Pre Calculus Know It ALL by Stan Gibilisco
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About this book :-
Pre Calculus Know It ALL written by
Stan Gibilisco .
Master pre-calculus from the comfort of home! Want to "know it ALL" when it comes to pre-calculus? This book gives you the expert, one-on-one instruction you need, whether you're new to pre-calculus or you're looking to ramp up your skills. Providing easy-to-understand concepts and thoroughly explained exercises, math whiz Stan Gibilisco serves as your own private tutor--without the expense! His clear, friendly guidance helps you tackle the concepts and problems that confuse you the most and work through them at your own pace. Train your brain with ease!
Pre-Calculus Know-It-ALL cover the features: Checkpoints to help you track your knowledge and skill level. Problem/solution pairs and chapter-ending quizzes to reinforce learning. Fully explained answers to all practice exercises. A multiple-choice exam to prepare you for standardized tests. "Extra Credit" and "Challenge" problems to stretch your mind.
Gibilisco's expert guidance gives you the know-how to: Calculate distance in Cartesian two-and three-space. Perform vector multiplication. Work with cylindrical and spherical coordinates. Understand relations and functions. Learn the properties of conic sections. Graph exponential, logarithmic, and trigonometric curves. Define curves with parametric equations. Work with sequences, series, and limits. Take college entrance examinations with confidence. And much more!
Book Detail :-
Title: Pre Calculus know-it-all
Edition:
Author(s): Stan Gibilisco
Publisher: McGraw-Hill
Series: Know It All
Year: 2010
Pages: 606
Type: PDF
Language: English
ISBN: 0071627022,9780071627092,007162709X,9780071627023
Country: US
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About Author :-
The author Stan Gibilisco is an electronics engineer, researcher, and mathematician who has authored a number of titles for the McGraw-Hill Demystified series, along with more than 30 other books and dozens of magazine articles. His work has been published in several languages.
Gibilisco began his career in 1977 as a radio technician and editorial assistant at the headquarters of the American Radio Relay League in Newington, Connecticut. Later he worked as a radio-frequency design engineer and technical writer for industry.
In 1982, Stan began writing for TAB Books with editorial offices in Blue Ridge Summit, Pennsylvania. One of the books that he compiled for TAB, the Encyclopedia of Electronics, was named by the American Library Association (ALA) in its list of "Best References of the 1980s." Another of his books, the McGraw-Hill Encyclopedia of Personal Computing, was named as a "Best Reference of 1996" by the ALA.
Stan produces instructional, technical, and general interest videos on YouTube. Subjects include electronics, computers, physics, mathematics, alternative energy, and amateur radio. Stan lives in Lead, South Dakota, home of the Sanford Underground Research Facility. He is an active amateur radio operator and uses the call sign W1GV.
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Book Contents :-
Pre Calculus Know It ALL written by
Stan Gibilisco
cover the following topics.
Preface
Acknowledgments
Part 1 Coordinates and Vectors
1. Cartesian Two-Space
How It’s Assembled
Distance of a Point from Origin
Distance between Any Two Points
Finding the Midpoint
Practice Exercises
2. A Fresh Look at Trigonometry
Circles in the Cartesian Plane
Primary Circular Functions
secondary Circular Functions
Pythagorean Extras
Practice Exercises
3. Polar Two-Space
The Variables
Three Basic Graphs
Coordinate Transformations
Practice Exercises
4. Vector Basics
The “Cartesian Way”
The “Polar Way”
Practice Exercises
5. Vector Multiplication
Product of Scalar and Vector
Dot Product of Two Vectors
Cross Product of Two Vectors
Practice Exercises
6. Complex Numbers and Vectors
Numbers with Two Parts
How Complex Numbers Behave
Complex Vectors
Practice Exercises
7. Cartesian Three-Space
How It’s Assembled
Distance of Point from Origin
Distance between Any Two Points
Finding the Midpoint
Practice Exercises
8. Vectors in Cartesian Three-Space
How They’re Defined
sum and Difference
some Basic Properties
Dot Product
Cross Product
some More Vector Laws
Practice Exercises
9. Alternative Three-Space
Cylindrical Coordinates
Cylindrical Conversions
spherical Coordinates
spherical Conversions
Practice Exercises
10. Review Questions and Answers
Part 2 Analytic Geometry
11. Relations in Two-Space
What’s a Two-Space Relation?
What’s a Two-Space Function?
Algebra with Functions
Practice Exercises
12. Inverse Relations in Two-Space
Finding an Inverse Relation
Finding an Inverse Function
Practice Exercises
13. Conic Sections
Geometry
Basic Parameters
standard Equations
Practice Exercises
14. Exponential and Logarithmic Curves
Graphs Involving Exponential Functions
Graphs Involving Logarithmic Functions
Logarithmic Coordinate Planes
Practice Exercises
15. Trigonometric Curves
Graphs Involving the Sine and Cosine
Graphs Involving the Secant and Cosecant
Graphs Involving the Tangent and Cotangent
Practice Exercises
16. Parametric Equations in Two-Space
What’s a Parameter?
From Equations to Graph
From Graph to Equations
Practice Exercises
17. Surfaces in Three-Space
Planes
spheres
Distorted Spheres
Other Surfaces
Practice Exercises
18. Lines and Curves in Three-Space
straight Lines
Parabolas
Circles
Circular Helixes
Practice Exercises
19. Sequences, Series, and Limits
Repeated Addition
Repeated Multiplication
Limit of a Sequence
summation “Shorthand”
Limit of a Series
Limits of Functions
Memorable Limits of Series
Practice Exercises
20. Review Questions and Answers
Final Exam
Appendix
A Worked-Out Solutions to Exercises: Chapter 1-9
B Worked-Out Solutions to Exercises: Chapter 11-19
C Answers to Final Exam Questions
D Special Characters in Order of Appearance
suggested Additional Reading
Index
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