The students gain a broad operational perspective for the design of speech adaptive systems and respective algorithms with a particular focus on adaptive digital filters. The important NLMS, RLS, FDAF and Kalman-Filter algorithms can be derived from fundamental principles. Diverse applications from speech and acoustic signal processing deliver practical insight into the utilization of the fundamentals, for instance, in acoustic noise reduction, echo cancellation, dereverberation, acoustic channel estimation and equalization. However, the acquired knowledge allows for a broader interpretation in the context of engineering and physics. The computer exercises of larger scale will teach the students to argue, select and evaluate algorithms for the problem at hand. By discussion in the panel, students learn to demonstrate, defend and trade their solution against others. Theoretical exercises finally deliver the ability to argue and prove a speech processing design with the appropriate vocabulary.