Visual Calculus

 
 

Visual Calculus is a grapher to compute and graph limit, derivative, integral, 3D vector, partial derivative function, series, ODE etc.

 
 
   
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Pre-calculus: functions, piecewise defined function, even and odd functions, polynomials, rational functions, composition of functions, trigonometric functions, exponential functions, inverse of functions, logarithms, parametric functions, polar coordinate graphs, solving equations

Feature
Sample
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Functions can be in the form of explicit, parametric, piecewise, implicit and inequality

Visual Calculus - Explicit function
Explicit form:
y=x-x^3/6+x^5/120; y=x;
y=x-x^3/6; y=sin(x)
Calculus - parametric function
Parametric form:
x=5cos(u)+3,y=3sin(u)+5;
x=2cos(u)+1,y=2sin(u)-2
piecewise function
Piecewise form:
y=x-1, if x<-1
y=-1, if x=-1
y=x+1, if x>-1
implicit function
Implicit form:
x^2-y^2-1=0
inequality
Inequality form:
a-r<0

Cartesian and polar coordinate systems

Cartesian coordinate system:
y=x^2; y=1.5x+1
Calculus - polar coordinate graph
Polar coordinate system:
r=10sin(2a)

coordinate graph animation

Use Visual Calculus to create animation.
sin(x*y-t)<0

Graph of inverse function

Calculus Grapher - Inverse function
y=sin(x)
and it's inverse function

Even and odd functions

Calculus - Even and odd function
y=sin(x) then let x'=-x

Root

y=(x-1)^2-2

Point of intersection(Solve equation)
Area of intersectant field

y=x^2-3, y=x+1

Calculus - Limits

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Graph of limit

Calculus - limit

Calculus - Derivatives

Feature
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Graph of derivative function

Visual Calculus - derivative function
y=log(x)
and it's derivative function dy/dx

Maximum, minimum and inflexion

y=cos(x)

Tangent and normal

y=sin(x)

Curvature circle

y=cos(x)

Calculus - Integral

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Integration

calculus - integral

The length of curve

 

Calculus - Spatial vector geometry

Feature
Sample
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3D vector and it's subvector and projection
calculus grapher - 3d vector
A 3D Vector
3D vector operation
Vector Product Of Two Vectors

Calculus - Multivariate Functions

Feature
Sample
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Cartesian, cylindrical and spherical coordinate systems
Visual Calculus: 3d surface
Cartesian coordinate system:
z=sin(x)sin(y)
z=x^2+y^2
Cylindrical coordinate system:
a=u, r=3+sin(9u)cos(v), z=v
calculus grapher - spherical coordinate graph
Spherical coordinate system:
r=2sin(4b+cos(4a))
3D curve and 3D surface
3D curve:
a=u, r=10sin(u), z=u
3D surface:
a=v, r=5+cos(u), z=v+sin(u)
3D curve and 3D surface animation
3D curve animation:
a=t*cos(2pi*u), b=2pi*u, r=5
3D surface animation :
z=sin((x^2+y^2)^0.5-t)
Surface by rotation
2D Curve
y=cos(x)
Rotating About Y Axis
Visual Calculus is used.
Rotating About X Axis
Graph of partial derivative function
3D Surface
z=sin(x)y
calculus - graph of partial derivative function
dz/dx
dz/dy
Tangent line and normal plane of 3D curve
x=sin(u), y=cos(u), z=u
Tangent plane and normal line of 3D surface
z=cos(x)*cos(y)
Surface+other graph
contour+surface
x=u, y=v, z=u^2+v^2
Texture
 
Transparency
 
Material and light    
Vertex, mesh and surface models    
High quality graph effect    

Calculus - Series

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Sample
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Graph of series

calculus - series

Calculus - ODE

Feature
Sample
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Graph of ordinary differential equation

dy/dx=sqr( x^2+y^2)

Graphing Table data on Visual Calculus

Feature
Sample
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Use table data to create 2D line graphs

 

Scatter plot

 

Curve smoothing

 
Use table data to create 3D surface
 

Creating color map, contour plot and vector plot on Visual Calculus

Feature
Sample
Note
Color map, contour plot and vector plot
colormap+contour+vector
x=u, y=v, z=sin(u)sin(v)
calculus grapher is used.
colormap+contour
Surface+other graph
contour+surface
x=u, y=v, z=u^2+v^2

Ability to set and modify the properties of coordinate graphs, animations and table graphs
Ability to move, zoom in, zoom out and rotate the graphs in plot area
Ability to save graphs as pgp file or bmp file
Ability to save animation as AVI file
Free Tools
Expression Calculator

 
     
 
 
     
 

Math Software -> Visual Math -> Visual Calculus

 

 

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