Graphing Calculator for MacOS and Windows Order the latest release here. To be notified of new versions when they are available, sign up for one of our mailing lists here. Graphing Calculator on Mac OS X Graphing Calculator is now available as a native Mac OS X application. Order here. What was new in Version 3.2 Common features and file format on Mac and Windows Free Viewer application available on Mac and Windows Vectors Coordinate Transformations What was new in Version 3.1 Complex numbers Complex number arithmetic Complex function parametric curves in 2D Complex function parametric curves in 3D Complex function surfaces in 3D Complex function surfaces in 3D with color coding Complex function surfaces in 4D Interactive complex parameters Color maps in 2D Point plots in 2D Vertex lists in 4D Parametric curves in 4D Parametric surfaces in 4D Examples menu and sample documents New functions min(a,b) max(a,b) mod(a,b) clamp(x,a,b) Text expressions in coordinate ranges Direction fields What was new in Version 3.0 Text comments can be added to documents Printing Open & Save Graphing Calculator documents Multiple document windows Save for Web saves HTML files and PNG images Save as RTF for export to word processors 3.0 acts as a helper application for GC documents posted to the web Documents saved by 3.0 can be opened read-only by the free version 1.2. What was new in Version 2.7 Ability to change the 3D background color Ability to define functions and variables symbolically Ability to copy and paste formulas as plain text Equations now line-break and scroll 1st order ordinary differential equations in 2 dimensions Correct handling of fractional powers New functions Bessel functions floor, ceiling Piecewise defined functions Div, grad, and curl, vector dot, and cross products Symbolic summation notation Symbolic substitutions Integrals 2D Vectors 3D Vectors Coordinate Transformations   Complex number arithmetic You can use Graphing Calculator 3.1 as a calculator for complex numbers. For example: Complex function parametric curves in 2D A complex function of a real parameter, t, specifies a curve in 2D. For example: This is a shorter way of writing the parametric equation: You can also use z as shorthand for x + iy. For example: Complex function parametric curves in 3D A complex function of a real parameter, z, specifies a curve in 3D. Observe that this is the same complex function as in the 2D example above, but here the parameter z is used as the third 3D coordinate. This is similar to writing the parametric equations: Parametric curves in 4D You can also write parametric equations for curves in four dimensions by specifying functions (which have real values) for each of the four spatial coordinates x, y, u, and v. For example: Complex function surfaces in 3D Using z as shorthand for x + iy, you can graph 3D surfaces representing complex functions. For example: In this example, observe the four zeros at +1, -1, +i, and -i. Complex function surfaces in 3D with color coding Using z as shorthand for x + iy, you can graph 3D surfaces representing complex functions. The height of the surface represents the magnitude of the complex function. The phase of the complex function is encoded in the color of the surface. For example: Complex function surfaces in 4D A complex function f(x + iy) depends on two real parameters x & y and has two components, Re f, and Im f. We can render this as a surface in 4 spatial dimensions with coordinates: (x, y, Re f(x+ iy), Im f(x + iy)) and then project this surface to the screen in a manner similar to the way we project 3-D surfaces onto a 2-D screen. Note that in the following, z=x+iy and w=u+iv. Interactive complex parameters In the following example, you can drag the purple dot, which moved the square grid along with it. The blue grid is the map of the square grid under the complex function f(z). Color maps You can specify the color at each point in the place by giving functions for either the (red, green, blue) or the (hue, saturation, value) components of the color. Point plots In the following example, as n varies, the point traces out a circle: Vertex lists in 4D The following shows a hypercube in four dimensions specified by writing the 32 edges between its 16 vertices. Parametric surfaces in 4D This is the parametrization for a flat torus in 4D. It is the product of an x-y circle (sin u, cos u), and a u-v circle (sin v, cos v). (The four 4D coordinate axes are x, y, u & v. The letters u & v are also used separately for the surface parametrization. This is confusing as u and v must be interpreted differently depending on context.) New functions The min() function returns the minimum of its arguments. The max function returns the maximum of its arguments. mod(a,b) return the remainder of a divided by b. clamp(x,a,b) pins x to the range [a,b]. Text expressions in coordinate ranges Direction fields Type command-option-d to draw unit vectors in a vector field. Examples menu and sample documents Version 3.1 ships with example and template documents which are also accessible from the new Examples menu. 1. Basics 1. Function of x 2. Function of y 3. Function of theta 4. Implicit 5. Inequality 6. Parametric 7. Contour plot 8. Density plot 2. Three dimensions 1. Function of x and y 2. Function of r and theta 3. Implicit 3D surface 4. Parametric 3D curve 5. Parametric 3D surface 3. Four dimensions Complex e^z rotating in yw Complex sin rotating in xw Flat torus Hypercube Hypercube with solid cube Klein bottle Sphere 4. Complex variables 1. Complex numbers 2. Complex curves in 2D 3. Complex curves in 3D 4. Complex modulus in 3D 5. Complex color coded surface 6. Complex color map 7. Complex Re/Im rotating in zw 8. Complex function vector plot 9. Complex function ODE * Color maps 8-color map Dipole ++ Dipole +- Julia Set Mandelbrot Set Polynomial poles Polynomial zeros Sin(1/z) * Conformal maps Circles Horizontal line Horizontal lines Lines Polar Grid Radial lines Square Grid Vertical line Vertical lines * The exponential function e^z as a 2D color map e^z as a 2D discrete color map e^z in 3D by magnitude e^z in 3D colored with phase e^z in 3D mixing Re f & Im f e^z in 3D mixing Re z & Im z e^z in 4D (xy rotation) e^z in 4D (yv rotation) e^z in 4D (uv rotation) 5. Advanced topics 1. Ordinary differential eqn 2. Ordinary differential eqn 2 3. Vector field 4. Vector field in 3D 5. Color plots 6. Circles Complex function Complex number Contours Density Functions of x Implicit Inequality Orbit Ordinary differential equation Parametric Polar 7. Demo equations Heart Horn Klein Landscape Lissajous Mandala Mascot Rose Spiral Staircase Tie die Valentine Yin Background Color The preferences dialog now gives control over the background used with 3D objects. Defining variables and functions (You must type "f control-9 x" to distinguish f(x) as a function.) Copy and Paste formulas as plain text Copy as Text on produces sum(x^k/k!,k=0,5). Equations line-break and scroll 1st order 2D ordinary differential equations     Fractional powers Fractional powers of negative numbers are handled properly now. Bessel functions Floor and ceiling Piecewise defined functions Div, grad, and curl Vector dot and cross products Summations Substitutions Integrals This feature is experimental. It requires an active internet connection. Graphing Calculator will submit integrals to the TILU Table of Integrals Lookup server over the internet. 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