﻿ Math 4 College | Math4all 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.

Kindly note: Your system needs to have the pdf reader to be able to view this document. You can download the file here incase you dont have the pdf reader or visit www.adobe.com to downlad the pdf reader.

## 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.

Kindly note: Your system needs to have the pdf reader to be able to view this document. You can download the file here incase you dont have the pdf reader or visit www.adobe.com to downlad the pdf reader.

## 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.

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### Get in touch

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

Skype: ask.company