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The tutorials in this series are created using GeoGebra version 5.0.388.0-d on Ubuntu 14.04. GeoGebra 5 is a dynamic and interactive mathematics software for geometry, algebra, calculus, trigonometry and statistics. Tools in GeoGebra are helpful in various constructions and calculations. Entry of equations and mapping of various variables can be done using the tools, input bar, CAS and spreadsheet views. Interactive explorations can be done using the tools in 2D and 3D Graphics modes. GeoGebra is a very useful tool to learn and teach different branches of mathematics. Read more

1.Vectors and Matrices

Foss : Applications of GeoGebra - English

Outline: GeoGebra version 5.0.388.0-d. Define a vector Change the Font Size using Options menu Magnitude and direction of a vector Relation between vectors and a parallelogram Arithme..

2.Introduction to Trigonometry Using GeoGebra

Foss : Applications of GeoGebra - English

Outline: We will use GeoGebra to, Construct a circle of variable radius Contruct a right triangle inside a unit circle Create a slider to change angle in right triangle Change properti..

3.Trigonometric Ratios and Graphs

Foss : Applications of GeoGebra - English

Outline: The concept of a unit circle Conversion of degrees into radians Creation of a slider to change angle alpha Changing the appearance of graphs Sine function Cosine function ..

4.Inverse Trigonometric Functions

Foss : Applications of GeoGebra - English

Outline: Creation of a slider to change angle alpha Inverse trigonometric functions Inverse trigonometric functions versus trigonometric functions Sine function Inverse sine function T..

5.Roots of Polynomials

Foss : Applications of GeoGebra - English

Outline: Binomial theorem and polynomials Quadratic polynomials: real roots and complex roots Finding roots and discriminants Quadratic functions: parabolic graphs, extremum Complex num..

Basic

Foss : Applications of GeoGebra - English

Outline: Imaginary number, i = sqrt (-1) Complex numbers in XY plane Complex numbers in complex plane Quadratic polynomials and parabolic functions Creating sliders, a, b and c, to loo..

7.Conic Sections-Parabola

Foss : Applications of GeoGebra - English

Outline: Definition, parts and properties of a parabola Constructing a parabola Changing the appearance of a parabola The standard equation of a parabola, (x-a)^2 = 4p (y-b) The stand..

8.Conic Sections-Ellipse

Foss : Applications of GeoGebra - English

Outline: Definition, parts and properties of an ellipse Constructing an ellipse by using Arcs of Circle method Changing the appearance of an ellipse The standard equation of an ellipse, ..

9.Conic Sections-Hyperbola

Foss : Applications of GeoGebra - English

Outline: Definition, parts and properties of a hyperbola Constructing a hyperbola Changing the appearance of a hyperbola The standard equation of a hyperbola, (x-h)^2/a^2-(y-k)^2/b^2=1 ..

10.3D Geometry

Foss : Applications of GeoGebra - English

Outline: The rectangular co-ordinate system Drawing in 2D to extend in 3D, for example a pyramid Visualizing the solid obtained by rotation of a polynomial about the x axis Drawing the ..

11.Limits and Continuity of Functions

Foss : Applications of GeoGebra - English

Outline: About the concept of limits Evaluating functions and their limits: Left hand limit Right hand limit Limits that Do Not Exist (DNE) Using a spreadsheet to ..

12.Differentiation using GeoGebra

Foss : Applications of GeoGebra - English

Outline: We will look at: Differentiation using first principles Derivative of function as slope of tangent at point on function Underlying algebra ..

13.Integration using GeoGebra

Foss : Applications of GeoGebra - English

Outline: We will look at: - Indefinite integrals - Definite integrals * Concept of area under curve (AUC) * Upper Riemann and trapezoidal sums for estimation of AUC * Integration as an..

14.Statistics using GeoGebra

Foss : Applications of GeoGebra - English

Outline: We will look at: Pasting data into Spreadsheet in GeoGebra Box plot as a 5 member summary: minimum and maximum values, first and third quartiles, median One Variable Analy..

15.Probability and Distributions

Foss : Applications of GeoGebra - English

Outline: We will look at: Pasting data into Spreadsheet in GeoGebra Hypothesis testing: null and alternative hypotheses P, F values Multiple Variable Analysis tool Box plots Analysis ..