Animation Format Files

Creating Animations Using Mathcad

Before considering specific animations make sure you are familiar with the first 3 lessons. If you don't have Mathcad but would like a 30 day free trial click on the link below.

Mathcad Free 30 Day Trial Download

Lesson 1 - Mathcad Basics for Graphing

Lesson 2 - Creating Animations for functions of the form y = f(x) - The Basics

Lesson 3 Basic Animations for Parametric Equations in 2 Space

One-sided Limits

The next 3 animation files incorporate the SHOW MARKERS feature into the animation.

Rigorous Limits - Continuous Functions - Includes Limit at Infinity

Average to Intantaneous

Mass on a Spring

The Ship and the Submarine

Maximizing the Range of a Projectile

Walking Toward the Light

The Ellipse

The set up for the hyperbola is the same except use x(t) = sec(t) and y(t) = tan(t) .

The Hypocycloid

Basic Graphs in Polar Coordinates and Creating Polar Animations with the Tangent Line

Before considering the Riemann Sums animations make sure you're familiar with lesson 4 on the unit step function.

Lesson 4 - The Unit Step Function

The following 5 animations correspond to the functions described

in the Unit Step Function Notes

Animation- Rectangular Pulses

Animation- Saw Tooth Curve- 3 Teeth

Animation- Saw Tooth Curve- 20 teeth

Animation- Decaying Exponential

Animation- Sine Rectification

Riemann Sums in Rectangular Coordinates

Riemann Sums in Polar Coordinates

Other examples where we use the unit step function is the animation for the optimization problem :A Bird Flies Home and the animations where we show that incoming light rays reflected off of a parabolic mirror are relected to a single focal point.

In the parabolic mirror file we also have the format for the animation which show light emanating from the focus is reflceted off the parabolice mirror perpindicular to the x axis

A Bird Flies Home

Light Reflecting off a Parabolic Mirror

Before Considering animations in 3 space make sure you are familiar with Lesson 5-

which has the basics of animating parametric equations in 3 space.

Lesson 5 - Animating Parametric Equations in 3 Space

Good Animation- Axes Fixed

Bad Animation - Axes not Fixed

Creating Animations For Vector-Valued Functions

Vector Valued Animation

Vector Valued Animation with Axes

Creating Animations for Vector Valued Functions with the Unit Tangent and Unit Normal

Before conisering graphing parametric equations and vetor valued functions on surfaces in 3 Space make sure you are familiar with basic graphs in Cylindrical coordinates in Lesson 6.

Lesson 6 Basics of Graphing in Cylindrical Coordinates

Graphing Parametric Curves on Surfaces in 3Space

Graphing Vector Valued Functions on Surfaces in 3Space

Partial Derivatives

Directional Derivative Demonstration

Animation- Directional Derivative Demo

Triple Integrals in Cylindrical Coordinates

Lesson 7 - Graphs in Spherical Coordinates

Triple Integrals in Spherical Coordinates

Lesson 8 - Basic 3D Graphs in Rectangular Coordinates

Double Integrals in Rectangular Coordinates - A Cross-Sectional Approach

Double Integrals in Rectangular Coordinates- Riemann Sums