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 Arithmetic operations on ve..

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 properties (labels, colors a..

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 Tangent function Ro..

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 Tangent function Inv..

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 numbers in XY plane C..

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 look at different quadr..

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 standard equation of a pa..

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, (x-h)^2/a^2+(y-k)^2/..

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 The standard equati..

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 polynomial in 2D Dr..

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 look at limits Look..

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 Differentiation ..

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 estimation of AUC ..

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 Analysis—bar chart, box p..

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 of Variance (ANOVA) ..