The course consists of five chapters:
1 Set theory (elementary notions)
2 Numbers (the 5 number fields, and the reason why we need them)
3 Plane geometry (stress on the algebraic treatment, as opposed the the Euclidean axiomatics)
4 trigonometry (learn to work with formulae)
5 real functions (elementary functions and working with polynomials).
In other words: in a series of 5 chapters, we will introduce the formal language necessary to tackle the second semester course in mathematics. In particular, we review notations and results from high school mathematics, which is then supposed to be "known" in the second semester.