Introduction of mathematics as the universal language for scientific facts: The lecture aims on one hand at learning and exercising the mathematical trade and in the other hand at applying the learnt concept to medical, biological, chemical and mechanical problems.

Objective

Simple and complex facts can be described and analysed using mathematical tools. Introduction to calculus in one dimension. Used concepts: the notion of a function, of the derivative and the integral, the idea of a differential equation, complex numbers, Taylor polynomials and Taylor series. Applications e.g. to prognoses, modeling action and dosage of drugs or tumor growth.

Content

Functions of one variable: the notion of a function, of the derivative, the idea of a differential equation, complex numbers, Taylor polynomials and Taylor series. The integral of a function of one variable.

Literature

G. B. Thomas, M. D. Weir, J. Hass: Analysis 1, Lehr- und Übungsbuch, Pearson-Verlag further reading suggestions will be indicated during the lecture