### Math Problem Collection

This collection contains a selection from the body of
exercises that have been used in problem session classes at ELTE TTK
in the past few decades. These classes include the current analysis
courses in the Mathematics Bsc programs as well as previous offerings
of Analysis I-IV and Complex Functions --- many of them are already
published in our
previous problem book,, but we plan to add problems from other
courses also.

We recommend these exercises for the participants and
teachers of the Mathematician, Applied Mathematician programs and for
the more experienced participants of the Teacher of Mathematics
program.

All exercises are labelled by a number referring to
its difficulty. This number roughly means the possible position of the
problem in an exam. For the Teacher program the range is 1-7, for the
Applied Mathematician program 2-8, and for the Mathematician program
3-9. (Usually the students need to solve five problems correctly for
maximum grade, the sixth and seventh problems are to challange the
best students.) Problems with difficulty 10 are not expected to appear
on an exam, they are recommended for students aspiring to become
researchers.

For many exercises we are not aware of the exact
origin. They are passed on by "word of mouth" form teacher to teacher,
or many times form the teacher of the teacher to the teacher. Many
exercises may have been created several generations before.

We provide you random problems in order to polish
your problem solving skills. After signing in, you can assemble
problem sheets for practice or tests.

Feed-backs and error reports are welcome at
`kosgeza@gmail.com`

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Supported by the Higher Education Restructuring Fund allocated to ELTE by the Hungarian Government |