Complex Numbers, Limits and DerivativeLaajuus (6 ECTS)

Objective

The course will offer facilities for studying further mathematics and physics as well as professional subjects. Cooperative skills and delivery will be practised.

Content

Basics of complex numbers, quadratic equation with real coefficients, Euler's formula, exponential function on the complex plane, polar notation, compound functions, limit of a function, limit of a number sequence, continuity, infinite series and convergence, geometric series, power series, derivative rules and formulae, inverse function, arcus functions, analyzing functions using derivatives, differential, extrema, convexity and asymptotes.

Qualifications

Functions, Vectors and Matrices