School talk:Mathematics/Undergraduate/Pure Mathematics
Q: Why is graph theory under discrete math instead of topology? A: Although some areas of Graph Theory (for example Kuratowski's Theorem) deal with Topological concepts, other areas deal with Probability, and yet others with algebraic concepts such as eigenvalues, the common ground between all of the areas is the graph itself, which is a purely discrete combinatorial concept. It can be depicted in a topological space, but it is not a topological concept.
Modular functions - help needed[edit source]
The term Undergraduate mathematics means differently in different countries, and within each country, different universities. The content in the School: page is the syllibus for a common university in the united states of America. In an English university, an undergraduate curriculum often also includes a selection from functional analysis, algebraic topology, Lie group, dynamical systems, commutative algebra, algebraic geometry, etc.
- Agreed. Further, I find the distinction between undergraduate and graduate-level courses unhelpful to begin with. It's not like Wikiversity is going to refuse undergrads access to advanced courses. --Jorend 16:34, 5 January 2007 (UTC)