Mathematics I

Course outline

• Sets and functions.

• Real numbers, mathematical induction, sequences, and series of real numbers.

• Real functions of a real variable, limits, continuity, derivatives, Rolle, Mean value and Taylor theorems.

• The definite and indefinite integral, techniques of integration, improper integrals.

• Taylor expansions, approximation, and error.

• Complex numbers, measure and argument, the complex plane, trigonometric and exponential form of complex numbers, De Moivre theorem.