Be it production, customer service or business innovation, the possibilities of artificial intelligence (AI) are manifold. AI helps to automate repetitive decisions and processes or to detect complex relationships. However, the use of AI can also have unexpected negative consequences that can cause significant damage not only to the reputation and profitability of organizations, but also to workers, individuals, and society as a whole. Prominent examples include the undesirable use of facial recognition, candidate discrimination in personnel selection, or the lack of traceability and control in AI-based business decisions. Organizations therefore need to learn how to responsibly manage human-machine interactions and consider ethical aspects when using AI. However, the study and application of responsible AI is a very young field and requires the pooling of activities from a variety of disciplines to design and apply AI systems in a robust, fair, transparent, and legally acceptable manner. This lecture therefore provides students with a profound overview of the field of responsible AI in the Digital Age and introduces fundamental concepts and approaches from a holistic perspective.