Mathematics I

Number systems (positive integers, rational numbers, real numbers, complex numbers). Sequences (accumulation point, limit, boundedness). Series (convergence, convergence tests, harmonic series, alternating series). Functions of one real variable (domain of definition, image, oddness and evenness, injectivity, surjectivity, bijectivity, composition, inverse function, elementary functions, limit , continuity). Derivative of a function (derivation rules, geometric interpretation, differential, applications). Integral of a function (indefinite integral, definite integral, applications of definite integral).

To master the basic concepts of mathematical analysis and to be able to better understand them. To develop analytical thinking and careful and exact mathematical reasoning as well as other building blocks of science/mathematics/engineering literacy.

Lectures, tutorials, and individualized homework. Collective analysis, interpretation, and solving of technical problems.