Here are some geogebra files that might help you in your studies

Works in Geogebra 5

Taylor Series


Series and Convergence Tests


Runge Kutta

Please note, that there are different versions of the runge kutta algorithm. This is probably not the best one, but it shows how runge kutta is better than eulers method


Newton Method



x^TAx; it will plot you that function, the major axis and the eigenvalues