Mates y TIC - Maths and ICT

Actividades de Matemáticas con TIC - Math Activities with ICT - - - (matesytic@gmail.com) Ricardo García Mesa

Archive for March, 2019

Functions III

Posted by ricardogm on 29th March 2019

Hi

Pay attention, you are going to learn to draw funcions like in the examples below. Send all to my mail.

Families of functions:

Piecewise functions

Absolute value

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Repaso examen de integrales

Posted by ricardogm on 29th March 2019

 

Muy buenas

De cara al examen, un examen:

examen-integrales.pdf

Y las soluciones del tema:

Tema 12

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Piecewise functions

Posted by ricardogm on 18th March 2019

A video about this thing:

Piecewise functions video

And the theory:
Piecewise functions

Here you can take a look at the most usual families of functions:

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Functions II, increasing, decreasing, etc.

Posted by ricardogm on 13th March 2019

 

1. Increasing and decreasing functions:

a) The theory.

b) Geogebra applets:

2. Continuous or discontinuous functions:

a) The theory

b) An applet with piecewise functions to help visualize this concept.

3. Periodic functions:

a) The definition

b) And an applet:

And a video about rate of change:

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Integral por partes

Posted by ricardogm on 12th March 2019

Muy buenas

La teoría:

Y unos cuantos videos:

El caso típico del producto:

El caso que sabemos derivar, pero no integrar:

Y el caso cíclico:

Por último, unas cuantas resueltas:

Ejemplos resueltos 

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Soluciones tema 11: Integrales indefinidas

Posted by ricardogm on 11th March 2019

Pues eso:

Soluciones del tema 11

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Integrales racionales

Posted by ricardogm on 6th March 2019

 

Muy buenas

Vamos a presentar en el último de los métodos de integración que nos toca sufrir: las integrales racionales, centrados en el caso más sencillo, el de las raíces reales simples.

1. El método lo tenéis en esta página. Leed el caso 1. Apuntad en la libreta el procedimiento.

2. Para repasar en casa, os pongo un vídeo ilustrativo.

3.  Ahora intentad hacer esta integral:

a)

Su solución está aquí.

4. Ahora a hacer ejercicios. De este pdf intentad en la libreta los ejercicios del 9 al 12. Comprobad los resultados con Symbolab, por ejemplo.

5. Ahora unos variados: del mismo pdf, intentad los del 1 al 6.

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Functions I

Posted by ricardogm on 5th March 2019

Hi

We are starting with functions today:

1. The basic information is in this page. You should find what a function is, what rules it has and what domain means, at least.

2. Open this Geogebra applets with a simple example of a function.

Now, play with them and try to answer these questions:

a) What does f(3) mean? How much is it? How can you calculate that?

b) Are there more than one value of a with the same value of f(a)? Is that possible in a function?

3. Now we are going to create something similar. Pay attention and send me the file.

4. Read pages 40 and 41 of this book . They show you how to calculate the domain of a function.

5. With this information, solve these exercises:

domain.pdf

Solutions.

6. More exercises.

You can find the same exercises with solutions in this link.

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