Properties of real numbers. Complex numbers. Limits of one variable real functions. Continuous functions. Theorems on continuous functions defined on an interval. Derivatives. Theorems on diferentiable functions defined on an interval. Convex functions. Higher order derivatives and Taylor polynomials. Integrals: Riemann integral, integrability, mean value theorem, fundamental theorem of calculus, primitive functions, integration by parts, integration by substitution, integration of some rational functions, improper integrals.
