# Mathematics Animations with SVG

## Overview

Samuel Dagan
Tel-Aviv University

### Software specifications

These pages are technically based on the XML open standards technology, recommended by the Web Consortium: XHTML - for text, MathML - for mathematical expressions, SVG - for graphics. This requires the installation of the free browser Firefox 3 or higher on your Windows, Mac or Linux platform. Installation of the STIX fonts is optional, for improving the display of the mathematical expressions. The graphic files can be displayed also by the free browser Opera 9.5 or higher on your Windows, Mac, Linux, FreeBSD or Solaris platform.

These five pages are based partially on the free samples from the online calculus course MathAnimated™ (http://mathanimated.com/), where you can access all the free samples, or by subscription - the entire course. Each one of them opens an introductory file on a new tag, containing links to the corresponding animated and interactive graphics.

### Getting started

To get started, the reader might try viewing the proof of the Pythogorean Theorem for an overview of how to navigate the interactive figures.

## Sign of Derivative

This page discusses the connection between the shape of a function and the sign of its derivative. The linked animation shows the changing slope of a cubic polynomial with a tangent line and a moving scale.

Open the Sign of Derivative page in a new window

## Inflection Points

This page discusses the connection between the shape of a function and the sign of its derivative. The linked animation shows the changing slope of a cubic polynomial with a tangent line and a moving scale.

Open the Inflection Points page in a new window

## Area between two curves

This page discusses the area between two curves expressed by definite integral. The linked animation shows the area swept out as a cursor traverses the "loop" that encloses the region.

Open the Area Between Two Curves page in a new window

## Linear Approximation in Several Variables

This page discusses the linear approximation of a function in several variables. To support the discussion, the linked animation shows an elliptic paraboloid that can be rotated about the z-axis.

Open the Linear Approximation in Several Variables page in a new window

## Conic Sections

This page discusses conic sections with a linked animation showing a plane cutting through a cone at various angles to produce five different conic section types.

Open the Conic Sections page in a new window