## Search

Now showing items 1-9 of 9

#### Roots of Polynomials

(Spoken Tutorial IIT Bombay, 2018-06-09)

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; ...

#### Conic Sections-Ellipse

(Spoken Tutorial IIT Bombay, 2018-06-02)

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/b^2=1; ...

#### Vectors and Matrices

(Spoken Tutorial IIT Bombay, 2018-04-16)

Outline:
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 vectors;
To create a matrix; ...

#### Complex Roots of Quadratic Equations

(Spoken Tutorial IIT Bombay, 2018-06-10)

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 quadratic ...

#### Conic Sections-Hyperbola

(Spoken Tutorial IIT Bombay, 2018-06-04)

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 equation ...

#### Conic Sections-Parabola

(Spoken Tutorial IIT Bombay, 2018-06-12)

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 parabola, ...

#### Introduction to Trigonometry Using GeoGebra

(Spoken Tutorial IIT Bombay, 2017-11-23)

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 and ...

#### Trigonometric Ratios and Graphs

(Spoken Tutorial IIT Bombay, 2018-05-10)

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; ...

#### Inverse Trigonometric Functions

(Spoken Tutorial IIT Bombay, 2018-05-26)

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; ...