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Prof. I.K.Rana

## Mathlab for VIII Standard CBSE

This is a module having collection of java applets being developed for interactive study of VIII Standard students. Mathematics has been an inseparable part of school education since the beginning of formal education and it has played a predominant role not only in the advancement of civilizations but also in the development of physical sciences and other disciplines. As curriculum renewal is a continuous process. Mathematics curriculum has undergone various types of changes from time to time in accordance with the changing needs of the society.

## Calculus of one and several variables:

This is a complete web course on introductory calculus of one and several variables ( based on the mathematics courses for engineering students at I.I.T ). We have provided some important links below which would help all students with the required important information.

## Applets in Linear Algebra

This is a collection of java applets being developed to enhance learning of concepts in basic linear algebra. This section holds a lot of important learning material which is usefull for all the college level students and can guide them through their learnings.
The Linear Algebra section is a set of all the below mentioned topics which are of utmost use.

CHAPTER 1: FROM GEOMETRY TO ALGEBRA-1 THE EUCLIDEAN SPACE R
CHAPTER 2: SYSTEM OF LINEAR EQUATION
CHAPTER 3: RANK OF A MATRIX
CHAPTER 4: DETERMINANTS
CHAPTER 5: VECTOR SPACES , BASES AND DIMENSIONS
CHAPTER 6: LINEAR TRANSFORMATIONS
CHAPTER 7: FROM GEOMETRY TO ALGEBRA- II INNER PRODUCT SPACES
CHAPTER 8: ORTHOGONAL PROJECTIONS AND ORTHONORMAL BASIS
CHAPTER 9: ISOMETRICS AND EIGENVALUES
CHAPTER 10: DIAGONALIZATION AND SPECTRAL THEOREM
CHAPTER 11: APPLICATIONS OF DIAGONALIZATION
CHAPTER 12: APPLICATION OF LINEAR TRANSFORMATIONS IN COMPUTER GRAPHICS

## An Interactive E-module on Number PI

This is a collection of java applets being developed to calculate interactively the value of PI by using various methods. This section holds a lot of important learning material with samples and pdf note files which is usefull for all the college level students and can guide them through their learnings.

â€¢Bowland Maths consists of a collection of case studies and Supporting Professional Development modules which include a number of short computer programs. Treasure Hunt is in the section â€˜Fostering and managing collaborative discussionâ€™.

â€¢ NRICH website: â€˜Diamond collectorâ€™, â€˜Top Coachâ€™, â€˜Mouse Plotterâ€™ and â€˜Reaction timerâ€™ can be found by putting the titles into the search facility at

http://nrich.maths.org/public/index.php

â€¢Reaction timer is at

http://nrich.maths.org/public/viewer.php?obj_id=6044

â€¢The National Library of Virtual Manipulatives (NLVM)

http://nlvm.usu.edu/

â€¢Coin Tossingâ€™, â€˜Platonic solids â€“ Dualsâ€™ and other Platonic solids applets are on the NLVM site

â€¢The DALEST project describes four activities: â€˜Cubix Editorâ€™, â€˜Potterâ€™s wheelâ€™, â€˜Stuffed toysâ€™ and â€˜Origami netsâ€™. The applications are available from Elica at

http://www.elica.net/site/index.html

â€¢Building houses with side viewâ€™ and other similar applets are on the Freudenthal Institutesâ€™ Wisweb site at

http://www.fi.uu.nl/wisweb/en/

â€¢â€˜Sheep Dash!â€™ from the BBC websiteâ€™s science section tests how fast your reactions are.

http://www.bbc.co.uk/science/humanbody/sleep/sheep/reaction_version5.swf

## Have a question or Query?

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### Get in touch

Dr. Inder K Rana.
Professor, Department of Mathematics I.I.T. Mumbai, Powai. Mumbai-400076, India.