Calculus of one variable: Real and complex numbers, vectors, functions, limits, sequences, series, power series, differentiation and integration in one variable, introduction to ordinary differential equations

Calculus in several variables; differential equations

Introduction to differential calculus and integration in several variables.

The aim is to introduce the partial differential equations of continuum physics used as building blocks of many models and simulations. Emphasis is put on the unifying mathematical structure of the constitutive theories of solid mechanics, thermo-/fluid-dynamics as well as electrodynamics with tools like entropy conditions, asymptotic expansions, and micro-macro-transitions.