| [ 281MANAMA3V20 ]                                         VL                                         Mathematics 3 | 
                
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                | Es ist eine neuere Version 2025W dieser LV im Curriculum Master's programme Artificial Intelligence 2025W vorhanden. | 
                
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                  | (*)  Unfortunately this information is not available in english. | 
                                
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                      | Workload | Education level | Study areas | Responsible person | Hours per week | Coordinating university |  
                      | 4,5 ECTS | B2 - Bachelor's programme 2. year | Mathematics | Esther Klann | 3 hpw | Johannes Kepler University Linz |  | 
                
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                      | Detailed information |  
                      | Original study plan | Bachelor's programme Mechatronics 2020W |  
                      | Objectives | This course is the third part of a series of basic courses in mathematics. It gives an introduction in theory and praxis of ordinary and partial differential equations. |  
                      | Subject | In general: concept of solution, modelling. classification, solution strategies; Ordinary differential equations: visualization (vector field); initial and boundary value problems, existence of solutions, construction of approximate solutions (successive  substitution, Taylor, Runge-Kutta)
 autonomous and linear differential equations; Laplace-transform, stability;
 Partial differential equations; classifications and basic solution approaches: hyperbolic, elliptic, parabolic;
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                      | Criteria for evaluation | written exam |  
                      | Methods | blackboard and slides |  
                      | Language | German |  
                      | Study material | lecture-notes |  
                      | Changing subject? | No |  
                      | Further information | none |  
                      | Corresponding lecture | (*)MEBPAVOMAT3: VO Mathematik 3 (4,5 ECTS) |  | 
                 
                
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                      | On-site course |  
                        | Maximum number of participants | - |  
                      | Assignment procedure | Assignment according to sequence |  |