Undergraduate courses in mathematics are commonly of two types.
Onthe one hand are courses in subjects - such as linear algebra or
realanalysis - with which it is considered that every student of
mathematicsshould be acquainted. On the other hand are courses
given by lecturersin their own areas of specialization, which are
intended to serve as apreparation for research. But after taking
courses of only these twotypes, students might not perceive the
sometimes surprisinginterrelationships and analogies between
different branches ofmathematics, and students who do not go on to
become professionalmathematicians might never gain a clear
understanding of the natureand extent of mathematics.
General
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