The maths part of CY404 has the following objectives : (i) learn to visualise the graphs of some important functions (eg., x^2, 1/x, exp(x), exp(-x), exp(x^2), sin(x) etc.), (ii) perform differentiations and simple antidifferentiations (iii) learn the use of definite integrals and integral tables, (iii) understand probabilty distributions, (iv) learn to use series, Fourier series and Fourier transforms, (v) learn simple applications of ordinary differential equations - harmonic oscillator and resonance, (vi) familiarise with the differential equations of quantum mechanics - special functions, (vi) learn to use functions of coordinate variables and simple ideas of vector calculus.

 There are several online sites with tools to help you learn and use mathematical techniques - for example, to plot graphs of functions, solve equations by graphical and other methods, perform differentiations and integrations, manipulate matrices, polynomials etc... Try Wolfram-alpha

There is a program - FT- to illustrate the use of Fourier series and transforms.
 
 

Other pages :

* exp(it) by arithmetic

* The full derivation of DEL² in spherical polar coordinates is here.

* Learn all about special functions and polynomials (if you like!):

Hermite polynomial

Laguerre and associated Laguerre polynomial

Legendre and associated Legendre polynomial

Spherical harmonics

* Sample some 'new math'  : Chaos theory - Intro..     more..
                                                     Fractals - Intro..            more..          nice pictures..

* Read some history ..........
 
 
 
 

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NOTE : some links may be 'gone' or 'yet to come' !