Coupled Oscillations

[SPS Shortcourse]

Lecture-1:

At the beginning of this lecture we set the ground rules and introduce the whole course.

Then I present examples of how Mathematica can be used to simulate physical problems, and benefit from this Mathematica code which I call The Power of Mathematica.

Fourier: 1, 2

Linear Algebra: 1, 2

Oscillations and Waves: 1, 2, 3, 4, 5, 6, 7

Projectile Motion: 1, 2, 3

Sound: 1

Statistics: 1

Misc.: adding sinusoids, prime number, logistics equation, setting sun

Here is a handout that your  might find useful.

My scribbles for lecture-1 are here.

References:

1.      Mathematica for Calculus-Based Physics, by Marvin L. De Jong.

2.      Mathematica for Physics, by Robert L. Zimmerman and Fredrick I. Olness.

3.      Mechanics and Dynamical Systems with Mathematica, by Bellomo et. al.

4.      Numerical and Analytical Methods for Scientists and Engineers, using Mathematica author: Daniel Dubin.

5.      Nonlinear Physics with Mathematica for Scientists and Engineers, by Richard H. Enns and George C. McGuire.

6.      Mathematical Methods Using Mathematica for Students of Physics and Related Fields, by Sadri Hassani.

Relevant Web-sites:

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last up-dated: Rabi-I, 1433