You don't need to do fourier transforms to do this. You can do it yourself and it is quite fun actually. It has been 13 years since I last did it but here is ho

You don't need to do fourier transforms to do this. You can do it yourself and it is quite fun actually. It has been 13 years since I last did it but here is how you start: 1. Have a set of interesting graphs. sin(x), tan(x), log(x), e^x, 1/x, polynomials, hyperbola, sqrt(x) 2. Learn the effects of replacing x with f(x) -> sin(f(x)), log(f(x)), e^f(x). This is IMHO the most fun part. How will sin(1/x) look like? How will log(mod(sqrt(x))) look like? 3. Have a set of 'tricks'. What is the difference between sin(x) and sin(x) - A (ans. it moves the whole graph downward on y-scale). How to create mirror? (ans. take modulus). How to enlarge a graph? (ans. multiply with a constant). 4. Tackle the actual problem, edge by edge.