What mathematical am I hearing? I am currently hearing math at my university in germany and it is always difficult for me to translate the german topics into english.
We are talking about limits , sequences and series "quantities?", limes, triangle inequality , Cauchy etc. What subject would you guess am I hearing?
In germany we call this "analysis" but could it be possible that this is called precalculus in english?
http://www.khanacademy.org/math/precalculus/
At least those topics look familiar.
 A: The source of confusion here is probably in the US system of education, where a rigorous Analysis class is usually preceded by a computationally oriented Calculus course (without much attention to proofs). The distinction between the two is rather artificial and depends mostly on the level of rigor (that is why, e.g., Spivak's Calculus is called by many "introduction to analysis") I am not sure about the German system, but in Russia, e.g., there are no usually two different courses. The concepts of limits, derivative and integral are discussed in the first course, which is called, somewhat ironically, Mathematical Analysis (or Differential and Integral Calculus). I suspect it is quite close to the German system.  
A: If you are discussing limits, the chances are that Calculus is not far away. If you get to differentiation and integration, then that settles it --- you are studying Calculus. 
A: wikipedia confuses me:
Calculus (Latin, calculus, a small stone used for counting) is a branch of mathematics focused on limits, functions, derivatives, integrals, and infinite series. 
Mathematical analysis is a branch of pure mathematics that includes the theories of differentiation, integration and measure, limits, infinite series,1 and analytic functions. 
A: I checked out your link to the course, and I think you're taking a class on Analysis.  That's what we call it in English too.
