eMath 4 premium

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eMath 4: Analytic geometry

CURRENT OFFER: Get 4f Studio Student Edition subscription for free with book purchase, valid 12 months from purchase!
The ebooks are structured so that you will learn all concepts in a logical order and it is meant to be studied from beginning to end. The theory parts are short and concise and at the end of each lesson, you will find a page with assignments. The assignments can be solved directly in the book.
You can easily write mathematics on the computer with the 4f Studio math tools, as well as insert pictures, embedded elements and graphs to support your studies and solutions. When your are finished, you can let the computer automatically check your assignments. The automatic checker sends each step in the derivation to an automatic theorem prover. If each step in the derivation is proved correct, the derivation is correct. The checker warns when it was not able to prove a derivation step correct, so that you can inspect the step, see your mistakes easily and correct them. See 4f Checker for more details.
Each eMath Premium book includes:
  • eMath textbook with
    • 300-400 assignments + answers, in three levels of complexity
    • Numerous example solutions
    • Possibility to add comments and highlight text
  • Automatic checking feature for immediate feedback on your solutions, 200 checkings/book
  • Numerical and symbolical calculator

Overview: This book introduces the basic notions of analytic geometry with the cartesian coordinate system. It shows how to describe lines as equations, and how to determine properties of lines, like intersection, orthogonality, distance from points and angles between lines. The book shows how to define and analyse properties of parabolas, circles and other conic sections.

Table of contents:

1 Preface
2 Absolute Value
2.1 Definition of Absolute Value
2.2 Absolute Value of an Expression
2.3 Absolute Value Equations
2.4 Absolute Value Inequalities
3 Cartesian Coordinate Systems and Equations in the Coordinate System
3.1 Coordinates of a Point
3.2 The Equation of a Curve
3.3 The Line
4 Properties of the Line
4.1 Points of Intersection between Lines
4.2 Orthogonality
4.3 Distance between a Point and a Line
4.4 The Angle between Lines
5 Sets of Simultaneous Linear Equations
5.1 Simultaneous Equations
5.2 Inequalities
5.3 Linear Optimization
6 Parabola
6.1 The Equation of a Parabola in Standard Form
6.2 Definition of a Parabola
6.3 The Equation of a Parabola in Vertex Form
7 Circle
7.1 The Equation of a Circle
7.2 Points of Intersection
8 Conic Sections