Tag Archives: Calculus

A differential equation on Kahn academy

I began to study Differential equations lately. It has been relentless days. Tools I use: Paper and digital text books Pencil and printing papers Scientific calculator CAS (Computer Algebra System) – Sympy and ipython notebook Knowing Kahn academy site was … Continue reading

Posted in Science and technologies | Tagged , , , | Leave a comment

sympy – find equations for the lines that are tagent and normal to the curve at (1, 2).

Chapter 2 Practice Exercises, p183

Posted in Python | Tagged , , , , , | Leave a comment

sympy – changing graph color of plot()

plot() handles color names for RGB color codes. SymPy document doesn’t explain it clearly or sample codes don’t exit. Here is another example.

Posted in Python | Tagged , , , , , , | 1 Comment

sympy – an example of implicit differentiation

Posted in Python | Tagged , , , | Leave a comment

sympy – sawtooth function

Calculus and Analytic Geometry, George B. Thomas and Ross L. Finney Exercises 2.5 81, p163 s = 0.78540 – 0.63662*cos(2*t) – 0.07074*cos(6*t) – 0.02546*cos(10*t) – \ 0.01299*cos(14*t) plot(s, (t, -pi, pi)) dsdt = 1.27324*sin(2*t) + 0.42444*sin(6*t) + 0.2546*sin(10*t) + 0.18186*sin(14*t) … Continue reading

Posted in Python, Science and technologies | Tagged , , , , , , , , | Leave a comment

sympy – appling the chain rule manually to find derivative of a function.

I spent few hours to figure out how to apply the chain rule manually to find derivative of a function due to poor documentation of SymPy. I’m not that smart guy.

Posted in Python | Tagged , , , , | Leave a comment

sympy – proof of the derivative of sin(x) is cos(x)

In IPython-notebook on the web browser interface, checking value of expression is simply typing the name of expression in the following line.

Posted in GNU/Linux, Python, Science and technologies | Tagged , , , , , , | Leave a comment