Every academic profession involves a lifetime of learning, and mathematics is no exception.
The specific topics that you will study may not be those studied by mathematics majors who follow you. You will forget many of the details and will reinvent mathematics as you need it. Thus it is not so much the content that you are to learn. In your mathematical education at UW, we seek to provide you with a broad training in reasoning. Mathematics is unique in its organization, its reliance on symbolism, and its content.