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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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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 |
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Graph explicit functions:
y=x-x^3/6+x^5/120; y=x;
y=x-x^3/6; y=sin(x) |
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Graph parametric functions:
x=5cos(u)+3,y=3sin(u)+5;
x=2cos(u)+1,y=2sin(u)-2 |
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Graph piecewise function:
y=x-1, if x<-1
y=-1, if x=-1
y=x+1, if x>-1 |
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Graph implicit function:
x^2-y^2-1=0 |
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Graph inequality:
a-r<0 |
Cartesian and polar coordinate systems |
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Cartesian graph:
y=x^2; y=1.5x+1 |
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Polar graph:
r=10sin(2a) |
Coordinate graph animation |
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sin(x*y-t)<0 |
Graph of inverse function |
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y=sin(x)
and it's inverse function |
Even and odd functions |
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y=sin(x) then let x'=-x |
Root |
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y=(x-1)^2-2 |
Point of intersection(Solve equation)
Area of intersectant field |
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y=x^2-3, y=x+1 |
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Calculus limits
Feature |
Sample |
Note |
Graph of limit |
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Graph limit:
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Calculus derivatives
Feature |
Sample |
Note |
Graph of derivative function |
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Graph function y=log(x)
and it's derivative function dy/dx |
Maximum, minimum and inflexion |
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Graph function y=cos(x), compute and graph the maximums, minimums and inflexions |
Tangent and normal |
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Graph function y=sin(x), compute and graph tangent lines and normal lines at given points |
Curvature circle |
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Graph function y=cos(x), compute and graph curvature circles at given points |
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Calculus integral
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Sample |
Note |
Integration |
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Compute and graph integral: |
The length of curve |
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Calculus - Spatial vector geometry
Feature |
Sample |
Note |
| 3D vector and it's subvector and projection |
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Graph a 3d vector |
| 3D vector operation |
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Vector Product Of Two Vectors |
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Calculus - Multivariate Functions
Feature |
Sample |
Note |
| Cartesian, cylindrical and spherical coordinate systems |
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Graphing functions in cartesian coordinate system:
z=sin(x)sin(y)
z=x^2+y^2 |
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Graphing function in cylindrical coordinate system:
a=u, r=3+sin(9u)cos(v), z=v |
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Graphing function in spherical coordinate system:
r=2sin(4b+cos(4a)) |
| 3D curve and 3D surface |
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Graphing a 3d curve:
a=u, r=10sin(u), z=u |
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Graphing a 3d surface:
a=v, r=5+cos(u), z=v+sin(u) |
| 3D curve and 3D surface animation |
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Create a 3d curve animation:
a=t*cos(2pi*u), b=2pi*u, r=5 |
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Create a 3d surface animation :
z=sin((x^2+y^2)^0.5-t) |
| Surface of revolution |
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2D Curve
y=cos(x) |
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Rotating About Y Axis |
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Rotating About X Axis |
| Graph of partial derivative function |
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3D Surface
z=sin(x)y |
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Graph partial derivative function: dz/dx |
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Graph partial derivative function: dz/dy |
| Tangent line and normal plane of 3D curve |
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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 |
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Graph 3d surface defined by function z=cos(x)*cos(y), graph tangent plane and normal line at a given point |
| Extruded surface |
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| Double integral - cartesian coordinate system |
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Graph double integral:  |
| Double integral - polar coordinate system |
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Graph double integral:  |
| Domain of triple integral - cartesian coordinate system |
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Graph the domain of triple integral:  |
| Domain of triple integral - cylindrical coordinate system |
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Graph the domain of triple integral:  |
| Domain of triple integral - spherical coordinate system |
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Graph the domain of triple integral:  |
| Surface+other graph |
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Creating contour plot and 3d surface for giving function:
x=u, y=v, z=u^2+v^2 |
| Texture |
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| Transparency |
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| Material and light |
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| Vertex, mesh and surface models |
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| High quality graph effect |
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Calculus - Series
Feature |
Sample |
Note |
Graph of series |
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Graph series:  |
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Calculus - ODE
Feature |
Sample |
Note |
| Graph of ordinary differential equation - vector slope field |
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Graph vector slope field of ode dy/dx=x-y |
Vector slope field + isoclines |
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Graph vector slope field of odedy/dx=x-y, create isoclines for given initial points |
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Graphing Table data on Visual Calculus
Feature |
Sample |
Note |
Use table data to create 2D line graphs |
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Create 2d lines using table data |
Scatter plot |
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Create scatter plot using table data |
Curve smoothing |
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Curve smoothing |
| Use table data to create 3D surface |
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Create 3d surface using regular table data |
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Creating color map, contour plot and vector plot on Visual Calculus
Feature |
Sample |
Note |
| Color map, contour plot and vector plot |
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Create color map, contour plot and vector plot for function
x=u, y=v, z=sin(u)sin(v) |
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Create color map and contour plot |
| Surface+other graph |
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Create contour plot and 3d surface for function
x=u, y=v, z=u^2+v^2 |
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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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