Tag Archives: Calculus

A differential equation on Kahn academy

Posted on November 23, 2015 by janpenguin

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 →

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

Posted on February 3, 2014 by janpenguin

Chapter 2 Practice Exercises, p183

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sympy – changing graph color of plot()

Posted on February 1, 2014 by janpenguin

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.

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sympy – an example of implicit differentiation

Posted on January 31, 2014 by janpenguin
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sympy – sawtooth function

Posted on January 29, 2014 by janpenguin

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 →

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

Posted on January 28, 2014 by janpenguin

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.

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

Posted on January 26, 2014 by janpenguin

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

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sympy example – finding tangent lines to a function

Posted on January 23, 2014 by janpenguin

Chapter 2: Derivatives Exercises 2.2, p130 43. Find the tangents to Newton’s Serpentine (graphed here) at the origin and the point (1, 2). 47. a) Find an equation for the line that is tangent to the curve at point (-1, … Continue reading →

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sympy – plot(): draw many graphs on one window.

Posted on January 21, 2014 by janpenguin

Graph in a window that has 0 <= x <= 2. Then, on the same screen, graph for h = -1, -0.5, -0.1, 0.1, 0.5, 1.

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sympy – continuity test of functions

Posted on January 13, 2014 by janpenguin

All functions I used here from Chapter 1 Exercises on Calculus and Analytic Geometry (9th Edition) by George B. Thomas, Ross L. Finney. It has discontinuity at 2 of x. Smooth graph of a function means it has continuity in … Continue reading →

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