CTK Insights

Archive for the 'Calculus' Category

13 Sep

The shortest path between two points in a plane

One of the first challenge problems Paul H. Nahin offers in his new book comes from his experience as a freshman at Stanford. This is a nice yarn. When I was a freshman at Stanford I did well enough during the first two terms of calculus to be allowed to transfer into the honors section [...]

11 Sep

Physics Minus Mathematics: The Week of Creation

Author Paul H. Nahin tells in Introduction to his new book how on several occasions the Nobel Prize winner Richard Feynman spoke condescendingly of mathematics. Nahin suggests that "Mathematics is trivial, but I can't do my work without it" may have been a joke and should not be taken too seriously. He may be right [...]

29 Apr

Areas on the Graphs of Power Functions

I have recently come across an article by Atara Shriki of the Technion - Israeli Institute of Technology - where she extended an engaging property of the graph of y = x³ introduced by R. Honsberger. At an arbitrary point P on the graph of y = x³ draw the tangent line and mark its [...]

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