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Pre Calculus Know It ALL by Stan Gibilisco



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Pre Calculus Know It ALL by Stan Gibilisco . 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.

Pre Calculus Know It ALL 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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