Visual Calculus
 

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

 
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  Features  
 

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
Note

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

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

Cartesian and polar coordinate systems

Cartesian graph:
y=x^2; y=1.5x+1
Calculus - polar coordinate graph
Polar graph:
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

Feature
Sample
Note

Graph of limit

Calculus - limit

Graph limit:

Calculus derivatives

Feature
Sample
Note

Graph of derivative function

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

Maximum, minimum and inflexion

Graph function y=cos(x), compute and graph the maximums, minimums and inflexions

Tangent and normal

Graph function y=sin(x), compute and graph tangent lines and normal lines at given points

Curvature circle

Graph function y=cos(x), compute and graph curvature circles at given points

Calculus integral

Feature
Sample
Note

Integration

calculus - integral
Compute and graph integral:

The length of curve

 

Calculus - Spatial vector geometry

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

Calculus - Multivariate Functions

Feature
Sample
Note
Cartesian, cylindrical and spherical coordinate systems
Visual Calculus: 3d surface
Graphing functions in cartesian coordinate system:
z=sin(x)sin(y)
z=x^2+y^2
Graphing function in cylindrical coordinate system:
a=u, r=3+sin(9u)cos(v), z=v
calculus grapher - spherical coordinate graph
Graphing function in spherical coordinate system:
r=2sin(4b+cos(4a))
3D curve and 3D surface
Graphing a 3d curve:
a=u, r=10sin(u), z=u
Graphing a 3d surface:
a=v, r=5+cos(u), z=v+sin(u)
3D curve and 3D surface animation
Create a 3d curve animation:
a=t*cos(2pi*u), b=2pi*u, r=5
Create a 3d surface animation :
z=sin((x^2+y^2)^0.5-t)
Surface of revolution
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
Graph partial derivative function: dz/dx
Graph partial derivative function: dz/dy
Tangent line and normal plane of 3D curve

Graph 3d curve defined by function x=sin(u), y=cos(u), z=u. Graph tangent line and normal plane at a given point

Tangent plane and normal line of 3D surface
Graph 3d surface defined by function z=cos(x)*cos(y), graph tangent plane and normal line at a given point
Extruded surface
 
Double integral - cartesian coordinate system
Graph double integral:
Double integral - polar coordinate system
Graph double integral:
Domain of triple integral - cartesian coordinate system
Graph the domain of triple integral:
Domain of triple integral - cylindrical coordinate system
Graph the domain of triple integral:
Domain of triple integral - spherical coordinate system
Graph the domain of triple integral:
Surface+other graph
Creating contour plot and 3d surface for giving function:
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

Feature
Sample
Note

Graph of series

calculus - series
Graph series:

Calculus - ODE

Feature
Sample
Note
Graph of ordinary differential equation - vector slope field
Graph vector slope field of ode dy/dx=x-y

Vector slope field + isoclines

Graph vector slope field of odedy/dx=x-y, create isoclines for given initial points

Graphing Table data on Visual Calculus

Feature
Sample
Note

Use table data to create 2D line graphs

Create 2d lines using table data

Scatter plot

Create scatter plot using table data

Curve smoothing

Curve smoothing
Use table data to create 3D surface
Create 3d surface using regular table data

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

Feature
Sample
Note
Color map, contour plot and vector plot
Create color map, contour plot and vector plot for function
x=u, y=v, z=sin(u)sin(v)
calculus grapher is used.
Create color map and contour plot
Surface+other graph
Create contour plot and 3d surface for function
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 Tool: Expression Calculator

 
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  System Requirements  
  Windows XP or newer  
     
 
 
     
 

Math Software -> Visual Math -> Visual Calculus

 
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