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Graphic Calculus is a suite of programs to help students of different ages with the visualization, exploration and conceptualization of mathematical concepts.

  • Graphing is a powerful graph plotter.
    • Drawing graphs and curves in parameter representation.
    • Axes can have labels such as cost, height etc. If your schoolbook uses word variables in graphs, your graph plotter ought to do the same.
    • Graphic Calculus is using familiar mathematics notation.
    • Sliding parameter and family parameter.
    • Calculate tables.
    • Zoom and trace.

  • Finding the formula Students can test their knowledge of graphs. Draw the graph of an unknown function and guess the formula. Make your own collection of exercises.
  • Line draws a line through two points and shows the changes of the formula as the point moves.
  • Parabola Here you can draw the graph of a quadratic equation through two points.
  • Exponential functions, the effects of changing parameters on the graph is shown.
  • Trigonometric graphs show the construction of the sine, cosine and tangent from the unit circle.

Advanced parts of the program

  • Diagram of change shows the decrease and increase of functions in different ways.
  • Gradient shows the drawing of a slope in a specific point as well as the graph of a gradient function.
  • Area shows the area under a graph and calculates its value. Area also shows the area function of a given graph.
  • Differential equation. The direction field and the solution through any starting point is plotted.
  • Functions of two variables plots perspective drawings of surfaces z=f(x,y), either in 3D or as level lines.
  • Cob-Web methods are to solve f(x)=x.
  • Taylor polynomials to approximate functions with polynomials.
  • Financial mathematics to visualize present value of an annuity or a bond.
  • Linear Programming will solve lp-problems straightforward.
  • Complex functions represents complex functions w=f(z), like sin(z), by drawing figures in the z-plane and their image in the w-plane.

There are plenty of possibilities to adjust the program to the mathematical competency of your students. The program should especially benefit starting students.