Designs and Implementation of Learning Application of Fourier Series on Mobile Phones

Nowadays there are a huge number of mobile phone users, ranging from children to adults who use mobile phones for the purpose of communication media or entertainment during leisure time. Varied features offered such as games, internet access, and social networks have become points of attraction to use mobile phones. However, features offered are mainly for entertainment and communication. There are only a few features that provide education support for users, especially for students. This study was aimed at developing a learning application that could be run on mobile phones (in-learning) to assist users to learn something. Difficulties to learn Fourier series for electronic students was the main reason of this study to choose the topic of Fourier series. It was expected that this learning application could help students to more easily understand Fourier series using their mobile phones instead of books. Fourier series is a sinusoidal series (sinus and cosine) used to represent functions of periodical signs in general. This application can be used to determine Fourier series, started from calculating Fourier coefficients namely a0, an and bn, using Romberg Integration approach and based on trapezoidal rule so that it can be achieved integral values with high accuracy. Test results of the application on mobile phones show that users can easily run the application program, choosing the menu providing explanation about Fourier series, doing practices to determine Fourier series coefficients, presenting graphs of Fourier series functions f(x)=a and f(x)=ax. This application was proven to assist students to learn and understand Fourier series more easily.