This folder contains a word document (optimization_problem_wth_solution.doc) that contains a description for an optimization problem along with its solution. The folder contains two m-script file that contain the solution for the Gradient_Descent_minimum and Gradient_Descent_maximum problems included in the word document. The algorithm for the gradient descent is included in the m-script files. For more information, you could go to wikipedia.
You don't need the optimization toolbox to run the script.