Some helpful words on course work and enterance and QT exam preparations

    undergraduate courses

1. Topology 1
2. Topology 2
3. 문명과 수학
4. 집합과 수리논리

graduate courses

1. Algebraic Topology 1
2. Algebraic Topology 2
3. Differentiable Manifolds

see also sis.snu.ac.kr for Korean.

Oral Enterance Exam for Masters Degree:

One needs to be throughly familiar with point-set topology. You are expected to know separation properties, compactnesss, connectedness, continuity, quotient topology, one-point compactifications. These are quite a lot of materials for students from other universities where topology is not taught at the level of SNU.  Helpful books are as follows:

1. J. Munkres, Topology, a first course, Prentice Hall

2. J. Kahn, Topology, an introduction to point-set ..., Williams and Wilkins Company

3. W. Massey, Algebraic Topology, an introduction, Springer Verlag

Written Enterance Exams for Masters Degree:

In addition to above materials, one needs to know fundamental groups, covering spaces, and the classifications of surfaces.  In additon to above books:

4. R. H. Fox, Introduction to Knot Theory, Springer Verlag

Note that previous written exams are available from the mathematics library, where you can make copies.

Written Enterance Exams for Ph.D. Degrees:

The course work at Master's degee is very important. Particularly, Algebraic Topolgy 1 and Differentiable manifolds course work should be thoroughly understood.

Qualifying Exams:

Materials in Topology 1 and Topology 2 in the undergraduate courses and Algebraic Topolgy 1 in the graduate courses. Past exams are very helpful.