mathematical modeling and a tank problem

This thesis is consist of four sections. In the first section, important definitions and theorems, the mathematical modeling, the mathematical modeling setup, the mathematical modeling classification, ortogonal polynomials and Fourier series are given. In the second section, energy storage problem in a tank is introduced and this problem solved by using Laplace transform method.. In the third section, we used mathematical models at secondary education and the functions at new middle education curriculum are invastigated. In the fourth section, some trigonometric values are investigated in terms of finger calculation.