|University: ||Slovak University of Technology in Bratislava|
|Faculty: ||Faculty of Mechanical Engineering|
|Course unit code: ||210720_DDP|
|Course unit title: ||Selected Chapters from Mathematics|
|Mode of delivery, planned learning activities and teaching methods: |
|lecture||2 hours weekly / 2 hours per semester of study (on-site method)|
|Credits allocated: ||8|
|Recommended semester/trimester: ||-- item not defined --|
|Level of study: ||-- item not defined --|
|Prerequisites for registration: ||none|
|Assesment methods: |
|Learning outcomes of the course unit: |
|Aim of the subject is to provide advanced knowledge form the topic of ordinary and partial differential equations and selected numerical methods from the point of view of its utilization for solution of practical engineering tasks. The main objective is to strengthen the students ability to apply differential diagnostics to the problem - to analyze it from the numerical standpoint, to choose a suitable numerical method for its solution and to implement this method to solve particular engineering problems.|
|Course contents: |
|Classification of partial differential equations (PDR) and their connections to physical problems. Numerical and approximative solution methods.
Method of finite differences, variational methods and finite elements method.
Basic concepts, domain of influence and dependencies for different types of equations, characteristics.
Basic principles of solutions for convection, diffusion and dispersion, exact solutions.
|Recommended or required reading: |
|HOFFMAN, J D. Numerical Methods for Engineers and Scientists. New York : McGraw-Hill, 1992. 825 p. ISBN 0-07-112962-6.|
|MATHEWS, J H. Numerical Methods for Mathematics, Science, and Engineering. Englewood Cliffs : Prentice Hall, 1992. 646 p.|
|RALSTON, A. Základy numerické matematiky. Praha : Academia, 1978. 635 p.|
|Language of instruction: ||-- item not defined --|
|Courses evaluation: |
|Assessed students in total: 41|
|Name of lecturer(s): ||doc. RNDr. Daniela Velichová, CSc. (person responsible for course) - slovak|
|Last modification: ||25. 6. 2019|
|Supervisor: ||doc. RNDr. Daniela Velichová, CSc. and programme supervisor|