We present the motivation and our concept of introducing "Web Engineering" as a specialization of our "Software Engineering" curriculum. Our main focus lies on the differences in project management education for both areas as well as the necessary process models and tools. First we discuss the principal differences of software project management and web project management, focusing on the main difficulties of teaching such management skills to primarily technophile students. Then we analyze the composition of modern software development teams and changes within such teams implied by the development of web applications. We illustrate this transition showing how a merely document-driven process - as can be found in many traditional software development projects - is turned into a highly tool-supported, agile development process, which is characteristic for web development projects.