LFU:online

Prerequisites for registration: none

Learning Outcome: The students are able to
¿ understand and apply propositional logic, set theory and complex numbers;
¿ understand and apply linear algebra, including groups, vector spaces, generating systems, bases, linear mappings, matrices, systems of linear equations, orthogonal projection, orthonormal bases, norm, scalar and cross product, determinant, eigenvalue and vector, coordinate transformation and orthogonal mappings;
¿ use linear algebra to solve chemical and physical problems;
¿ discuss, study in-depth and present mathematical content;
¿ master scientific argumentation in the context of mathematical content;
¿ understand and apply the relationship between mathematics and chemistry;
¿ understand one and multidimensional real analysis, including sequences, limits, Banach and Hilbert spaces, derivatives, partial derivatives, total differential, two and three legs, implicit differentiation, one and multidimensional primitives, series, power series, radius of convergence, one and multi-dimensional Taylor series, definite and improper integrals, approximations, Fourier series, range and curve integrals as well as the theory of ordinary and partial differential equations;
¿ apply calculus to solve chemical and physical problems;
¿ relate the mathematical concepts to real phenomena and processes;
¿ apply mathematical concepts to real chemical and physical phenomena and processes.