Bibliographic Details
| Title: |
Breaking Multivariable Calculus: Interactive Models Showing Where Our Favorite Formulas Fail. |
| Authors: |
Paul, Stepan (AUTHOR) |
| Source: |
Mathematics Magazine. Jun2026, Vol. 99 Issue 3, p277-283. 7p. |
| Subject Terms: |
Multivariable calculus, Three-dimensional printing, Mathematical singularities, Real variables |
| Abstract: |
Summary: We present interactive 3D printed models of the graphs of three different functions of two variables that each exhibit some kind of unexpected behavior with respect to a concept learned in multivariable calculus. The interactivity of each model is meant to help a learner make geometric sense of the pathological properties of each function and illustrate the need for the technical conditions for the relevant theorems. [ABSTRACT FROM AUTHOR] |
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| Database: |
Education Research Complete |
