Applied Algebra and Analysis

Course abbreviation: NMS_AAA
Course code:
Course duration: 2 years

Degree Course Characteristics

The degree course is oriented towards advanced algebraic and analytical methods used in present-day applied mathematics. The course structure is to provide solid foundations for the disciplines of mathematics and to master numerous mathematical methods. The aim of the course is to educate professionals not directly specialized in a single mathematical discipline, but specialists with an overview of a wide spectrum of mathematical disciplines. Throughout the degree course students are intensely trained to develop habits of independent analytical thought, and to employ mathematical methods in many fields of natural sciences and engineering, e.g. in biology, medicine, economy, or information sciences. Within the framework of student projects, research projects, and master thesis students will develop habits for independent work and solution of issues.

The standard duration of the Continuation Master Course is to be 2 years. The course is an immediate follow-up to the Bachelor Degree Course and offers students a complete overview of the spectrum of applicable mathematical disciplines and mathematical methods. The structure of the prestigious course makes use of the long, shared experience of academics and is designed as a continuous sequence of lectures and classes in each academic year, which will develop the academic competences of the bachelor course.

Graduate´s Profile

Knowledge:
Graduates acquired good foundations of a wide spectrum of mathematical disciplines and, moreover, could choose optional courses in theoretical informatics and informatics in practice. However, great emphasis was placed on applicable algebraic and analytical methods.

Skills:
The degree course covers the following advanced disciplines of mathematics: general (universal) algebra, graph theory, functional analysis, variational methods, asymptotic methods, differential calculus on manifolds, introduction to Riemannian geometry, random processes, foundations of modern theory of partial differential equations, theory of semigroups, non-linear optimization, group theory and their representation, and mathematical methods in biology and medicine. Moreover, to acquire a deeper knowledge of more specialized or application-oriented discipline of students´ choice, students may register for many optional lectures..

Competency:
Graduates will be able to use the knowledge acquired while analysing and solving actual issues of mathematics in various fields of science and technology. They will be prepared to add and deepen the knowledge of other fields by self-study. The expected characteristics of graduates are responsible approach to the tasks assigned and high standard of presentation skills. Graduates will be prepared to continue their academic training in PhD programmes.

State Final Examination

• Functional analysis – compulsory part of examination
• Algebra – compulsory part of examination
• Partial differential equations – optional part of examination
• Advanced probability methods - optional part of examination

Details on the examination and its parts are subject to valid legislation and internal regulations and rules and are available at Study Programmes and Regulations.