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This is a Loci article that includes five GeoGebra applets to illustrate topics in real analysis, or a rigorous course in calculus.

This GeoGebra applet allows interactive and visual exploration of the relationship between continuity and differentiability.
Students investigate the limits of the functions \(x^n \sin(^1/_x)\) as \(x \to 0\) for \( n = 0, 1, 2\) and \(3\).
In applying l'Hospital's rule to the limit of a quotient with indeterminate form 0/0, a student gets to select the numerator and denominator from a list of 6 functions.

In the \(\epsilon\)-\(N\) definition of a finite limit at infinity, the students gets to select \(\epsilon\) and then adjust \(N\) to satisfy the definition.

Students choose one of 9 functions and a limit point. Then they can see the value of the function as \(x\) gets closer to the limit point.
In the epsilon-delta definition of a finite limit, the student gets to select a limit point and epsilon and then adjust left and right deltas to satisfy the definition.
Seven interactive Flash applets that the user may customize for classroom use, with clear instructions included for doing so.
This applet allows the user to draw three dimensional solids with various cross section shapes, including shapes from standard calculus exercises such as squares, rectangles, equilateral triangles