VSB - Technical University of Ostrava

PhD in Computational and Applied Mathematics

Full-time - Part-time

• Applets of Integral and Discrete Transforms
• Applied Functional Analysis
• Applied Linear Algebra
• Basic Methods of Statistical Data Analysis in Practice
• Bio-Inspired Computing
• Coding Theory
• Computational Electrical Engineering
• Data Analysis
• Data Compression
• Digital Computers
• Digital Image Processing
• Discrete Mathematics
• Fuzzy Systems
• Graph Theory I
• Image Analysis
• Information Retrieval Systems
• Mathematical Methods and Tools for Reliability and Risk Analysis
• Mathematical Modelling and FEM
• Methods of Optimization
• Neural Networks
• Numerical Methods
• Parallel Algorithms
• Petri Nets
• Physical Implementation of Database Systems
• Query Processing in Database Systems
• Reliability of Electronic Devices
• Social Networking
• Software Systems Specification Methods
• Theory of Computation
• Theory of Formal Systems
• Theory of Languages and Automata
• Transparent Intensional Logic
• Variational Methods for Engineers
• Web Engineering
• English Language Dr.
• French Language Dr.
• German Language Dr.
• Russian Language Dr.
• Spanish Language Dr.

Hard Skills

• Dynamic systems
• Statistical data analysis
• OpenFOAM
• Reliability theory
• Parallel programming
• HPC programming
• Regression analysis
• Work with data (big data)
• OpenMP
• R programming language
• Numerical methods
• Parallel data processing
• Numerical modelling
• Matlab
• Fortran
• Linear programming
• Knowledge of mathematical models
• Quadratic programming
• Optimization methods
• Finite element method
• PETSc
• CUDA
• Statistical methods
• Shape optimization
• Mathematical methods and analyses
• MPI
• FETI methods

Graduate's Skills

The graduates from the study program should be able to find complex and innovative solutions to new challenging problems, assess new results and ideas, take into account their long-term effects, and identify their innovative potential. They should be able to develop and assess theoretical results, concepts, and methods, with an understanding of their global effect.

Study Aims

The aim of the graduate program is to provide education of highly qualified experts who are aware of the main results in their field of study, understand their role in the solution of real-world problems, and are able to use their knowledge and experience to get new results. The students are assumed to exploit specific opportunities provided by the department, in particular contact with engineering research, cooperation with the National Supercomputer Centre, local industry, and locally based software companies. They are also assumed to participate in international research projects using contacts with cooperating universities. Department of Applied Mathematics currently participates in the Graduate School Project with top Czech universities and research institutions and participates in organizations of winter schools.

The graduate program in Computational and Applied Mathematics combines study with active research in the field of mathematics, concentrating on topics motivated by engineering practice, progress in computational technology, and new results in applied and numerical mathematics. The theses are assumed to contain new theoretical results or new algorithms, the effectivity of which will be tested by numerical experiments and/or by the solution of interesting real-world problems.

Graduate's Knowledge

The graduates from the study program should have deep and systematic knowledge and insight into the applied mathematics and information technology in the extend corresponding current state of the art in the field. They should have practical knowledge of applied mathematics and some fields of applications. The knowledge of applied mathematics acquired during the graduate study is a suitable qualification also for various positions that require deep knowledge of mathematics, in particular in mechanical engineering, medicine, or electrical engineering.

Graduate's General Competence

The graduates from the study program should be able to make decisions in new or varying circumstances, coordinate the teamwork, and take responsibility for the results. They should have communication skills, be able to identify the core of the problem, summarize the opinions of the members of the team, identify effective methods for the solution of given problems, and systematically approach complex problems.

Professions

• Researcher
• HPC specialist
• Analyst – Specialist
• Academic staff member
• Data analyst
• Statistician
• Mathematician
• Research and development specialist
• Consultant
• Data scientist
• Programmer - specialist
• Teacher/Instructor

Graduate's Employment

The graduates will apply especially in the research departments of software and industrial companies, in scientific institutions, or at universities. In the neighborhood of Ostrava, there are mainly the following: Tieto, the National Supercomputing Center, the Institute of Geonics of the Academy of Sciences of the Czech Republic, etc.