Doing mathematics means speaking a very precise language without ever lying. Roughly speaking the mathematical sciences can be divided into three interrelated parts: Analysis, Algebra, and Geometry. In turn, Analysis brings together several branches: Real, Complex, Functional, digital, Harmonic,... Mathematical analysis also offers an opportunity to learn to reason logically, rigorously and correctly. Throughout this semester we will focus on Real Analysis, which forms the basis of other types of Analysis.