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Prof. I.K.Rana

## 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

## From Geometry to Algebra:

This is a complete web course in basic linear algebra. Along with definitions and examples, it includes interactive quizzes after each section, java / flash applets for visualizations and better understanding of the concepts. We have provided some important links below which would help all students with the required important information.

## Let us count 1,2,3....

These set of notes introduce the mathematical concept of counting. The notes also explores and explains the mystery of infinite. The pdf file would also provide a wide range of other important information which is usefull for all the college level students and can guide them through their learnings.

## Integral From Antiguity to Riemann

These set of notes explore the historical development of the concept of integral. The pdf file would also provide a wide range of other important information which is usefull for all the college level students and can guide them through their learnings.

## An introduction to vector space IR3

These notes introduce of exhibit the process of converting geometric concepts to analytic concepts. The need to introduce algebraic structure of vector space . in analyzed. The notes are presented incrementally in an interactive classroom set up.

## 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 Calculus:

This is a collection of java applets being developed to enhance learning of concepts in basic calculus of one and several variables.

## 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.