Natural numbers, integers, rationals. Induction’s principle. Suprema and infima of sets of real numbers. Sequences. Suprema and infima of sequences. Limits and comparison theorems. Real functions left and right limits, continuos functions. The intermediate value theorem. Monotonic functions. Basic definition of derivative. Local maxima and minima. Fermat's theorem. Mean vaue theorem. Monotonic functions. Derivative of inverse functions. Hopital’s rule. Taylor’s formula.
