In this research work the authors construct a mathematical model that encompasses all energy flows interact with a heated geometrical set, where such interactions are represented by mathematical relationships that were found through a comprehensive literature search with subsequent conjugation mathematical models in an energy balance of the pool, thus obtaining a series of curves that reveal the evolution of the temperature of pool water over a period of time defined in terms of elaborate design based on energy balance. Additionally, a program was developed in Matlab ® platform that allows not only measure the air conditioning equipment, but also the cost of investment and operation that involves heating the pool in order to optimize the thermal load required to raise the temperature of the pool to a value of comfort. As important conclusion is expected that the development of this software allows the designer or user to get the most optimal air conditioning equipment, and to promote the rational use of energy and the use of clean technologies such as heat pumps or heating systems solar energy. KEywORDS: Energy balance in swimming pools, pool heating, energy optimization, mathematical simulation in pools