Essential Calculus Lectures with MATLAB

Using the Live Editor and the Symbolic Math Toolbox to teach calculus concepts

This package contains 5 MATLAB live scripts showing how to use the Live Editor and the Symbolic Toolbox to illustrate calculus concepts.

The lectures ordering is, by design, conventional, starting with functions and then defining limits, which in turn allow explaining continuity, derivatives and ending with integrals. Of course, according to the instructor's preference, other arrangements of topics are possible, such as leading directly with difference equations, defining derivatives with infinitesimals (as in nonstandard analysis), or introducing from the very beginning vectors and multivariable calculus.

One obvious way to improve these lectures would be to include more exercises and homework for the students, as for example is done by in the Calculus course Art Belmonte at TAMU http://calclab.math.tamu.edu/~belmonte/2017c_m151.html . I would warmly welcome any kind of collaboration on improving this material.

Other examples and ideas might be found in the Teaching Calculus with MATLAB page https://www.mathworks.com/academia/courseware/teaching-calculus-with-matlab.html.