## Visualization matters - Non-linear Optimization Wed, Jul 6. 2011

I am right now studying linear and non-linear optimizations while attending a mandatory mathematics course @ Universität in Hagen. Functions from R^2 -> R can be easily visualized - guess that qualifies for a textbook example ... Consider this optimization problem

The visualization contained in the course textbook looks like this

This is a contour plot - but I don't think its helpful to just present this graph. The normal plot and the contour graph made things a lot easier for me - I fired up the XMaxima CAS, and plotted this graph and it's contour graph

From an educational and visual point of view I think it's obvious which one is easier to grasp for a student ...

The visualization contained in the course textbook looks like this

This is a contour plot - but I don't think its helpful to just present this graph. The normal plot and the contour graph made things a lot easier for me - I fired up the XMaxima CAS, and plotted this graph and it's contour graph

From an educational and visual point of view I think it's obvious which one is easier to grasp for a student ...

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