This course material is meant as an introduction to neural networks. Based on a mathematical representation of neurons, the material will try to present 1) how these neurons can be used to build models, 2) how the models are dependent on the network's structure, and 3) how we can make the networks learn from data. During the course, neural networks will be trained to solve simple examples problems as well as large scale real problems in the form of image classification. The goal is to give students a basic understanding for how neural networks can be used to solve both regression and classification problems.