Software engineering education has been emerging as an independent and mature discipline. Accordingly, various studies are being done to provide guidelines for curriculum design. The main focus of these guidelines is around core and foundation courses. This paper summarizes the current problems of software engineering education programs. It also proposes some important dimensions as integral parts of software engineering education: interdisciplinary skills, practice experience, communication, skills on continuing education and professionalism. In the current guidelines and studies these dimensions are not addressed specifically. Although there could be other dimensions to be considered in software engineering education, we believe that the proposed ones are very crucial as software engineering is evolving more rapidly than any other engineering discipline. This study also provides a survey of some major universities' undergraduate software engineering programs to evaluate these dimensions. (Contains 3 tables.)