Mathematics Paderborn University

Study Type

graduate

Admission semester

Summer and Winter Semester

Target group

Bachelor graduates whose degree must include the following skills: -\tLinear Algebra: Confident handling of -\tvector spaces (base, dimension, dual space, quotient space), -\tlinear maps (rank, eigenvalues, Jordan normal form, diagonalisability), -\tBilinear forms, Euclidean and unitary vector spaces. -\tAlgebra: Confident handling of -\tGroups, rings, modules and fields, -\tbasic proof techniques of algebra. -\tAnalysis: Confident handling of -\tLimits (of sequences, infinite series, functions, sequences of functions), -\tbasic topological concepts (compactness, continuity), -\tdifferentiability in one and several real variables -\tthe Lebesgue integration (measure theoretic fundamentals, convergence theorems, integral theorems), -\tordinary differential equations (solution theory, elementary solution methods), -\tbasic proof techniques of analysis. -\tStochastics: Confident handling of -\tdiscrete and continuous random variables, their distributions and parameters\; -\tconditional probabilities, stochastic independence, -\tthe central limit theorem and the law of large numbers, -\tbasic methods of inferential statistics. -\tNumerics: -\tBasic understanding of central problems of numerical analysis, -\tconfident handling of numerical methods, -\tability to assess the condition of a problem.

Annotation

Prior academic consultation is advised for students wishing to commence studies in the summer semester

Admission modus

Without admission restriction

Admission requirements (Link)

Admission requirements

Further details are governed by the admission regulations as well as examination regulations.

Main language

German