Students will
learn the basic concepts of analysis and linear algebra,
develop an understanding of the axiomatic approach and of algebraic and analytical principles and methods of proof,
be trained in self-study and active mathematical collaboration,
acquire a foundation for their entire course of study, e.g. for advanced courses in analysis and linear algebra, functional analysis, numerical mathematics and probability theory.
Students will learn
Important classes of partial differential equations (linear and quasi-linear PDEs),
maximum and comparison principles,
applications (hydrodynamics and calculus of variations)
Students will
Learn basic concepts of analysis,
Develop an understanding of analytical principles and methods of proof,
Be trained in self-study and active mathematical collaboration,
Gain a foundation for the entire course of study.
Students will learn
Metric spaces,
Ordinary differential equations,
Theorem on implicit functions, theorem on inverse functions,
Manifolds,
Extreme value problems with constraints,
Power series
Students will
learn the basic concepts of analysis and linear algebra,
develop an understanding of the axiomatic approach and of algebraic and analytical principles and methods of proof,
be trained in self-study and active mathematical collaboration,
acquire a foundation for their entire course of study, e.g. for advanced courses in analysis and linear algebra, functional analysis, numerical mathematics and probability theory.
Students will
Learn basic concepts of analysis,
Develop an understanding of analytical principles and methods of proof,
Be trained in self-study and active mathematical collaboration,
Gain a foundation for the entire course of study.