Information on study programme

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Faculty Faculty of Applied Sciences (FAV)
Study programme Applied Mathematics (P1101)
Branch of study Applied Mathematics (1103V004/50 - 2010)
Level of acquired qualification Doctoral
Form of study Combined
Standard length of study 4 years
Number of ECTS credits Studies are not credit-based.
Qualification awarded Doctor (Ph.D.)
Access to further studies The doctoral degree is the highest possible level of education in Czech education system.  
Type of completion State Doctoral Examination and dissertation defense.
Study and Examination Code URL
Faculty coordinator for international students
Lávička Miroslav, Doc. RNDr. Ph.D.
Email: lavicka@kma.zcu.cz
Phone: 37763 2619
Fax:
Key learning outcomes Graduates demonstrate deep knowledge of advanced mathematical techniques in the fields of nonlinear differential equations, in the research of mathematical models on time scales, in the study of bifurcation of solutions in nonlinear systems, in the development of new methods for describing complex shaped objects, in the optimalization of the choice of models of random variables in the theory of life and regression analysis, in the study of the properties of discrete structures and graph operators, in the numerical analysis of problems in biomechanics and fluid mechanics. Graduates have advanced English language knowledge (min. Level C1 of Common European Framework of Reference for Languages) and intermediate knowledge of second foreign language (min. Level B2 of Common European Framework of Reference for Languages). Graduates are able to independently construct and analyze proofs within formal mathematical models; analyze the qualitative properties of nonlinear differential equations in onedimensional and multidimensional cases; independently formulate and analyze nonlinear mathematical models on time scales, investigate the nonlinear eigenvalue problems, especially with degenerate and singular operators; study bifurcation phenomena in nonlinear systems; develop new methods to describe complex shaped objects; optimize the choice of models of random variables in the theory of life and regression analysis; study the properties of discrete structures (graphs, hypergraphs, matroids, codes) in details, examine their connections (coloring, homomorphisms) and the existence of special substructures (cycles, paths, factors); study graph operators, especially of the closure type and develop related methods for analysis of graph structure properties; numerically analyze the multiphase flow problems and contact problems in biomechanics; develop new computational conservative schemes for the numerical simulations of fluid mechanics problems; plan, execute, analyze and evaluate a major project (Ph.D. thesis), which is preferably written in English and parts of which are publishable in journals. Graduates are able to communicate mathematics in a clear, concise and rigorous manner appropriate to the context; operate in international teams in order to plan, execute, report and present a mathematically based project; write and orally present (preferably in English) and defend a major project (Ph.D. thesis).
Specific admission requirements Passing an oral entrance examination
Specific provisions for recognition of prior learning General Rules for the Recognition of Previous Studies
Qualification requirements and regulations 0 ECTS credits, Doctoral Thesis, Final Doctoral Examination
Profile of the programme Graduates demonstrate deep knowledge of advanced mathematical techniques in the fields of nonlinear differential equations, in the research of mathematical models on time scales, in the study of bifurcation of solutions in nonlinear systems, in the development of new methods for describing complex shaped objects, in the optimalization of the choice of models of random variables in the theory of life and regression analysis, in the study of the properties of discrete structures and graph operators, in the numerical analysis of problems in biomechanics, or in mathematics education, in methodology and educational psychology, and in historical and philosophical aspects of mathematics and education. Graduates will find job in applied and basic research, in management of analysis groups and in the academic environment. Graduates will be able to work creatively in a chosen field in scientific and academic institutions and in the department of mathematics at some university.
Occupational profiles of graduates with examples in applied and basic research, in management of analysis groups and in the academic environment, in scientific and academic institutions and in the department of mathematics at some university
Branch of study guarantor Drábek Pavel, Prof. RNDr. DrSc.
Study proceeds according to individual study plan under the guidance of a supervisor. It concentrates on research and independent creative work.