Module designation | Fractional Modelling II (MAT311) | ||||||||||||||
Semester(s) in which the module is taught | 6th | ||||||||||||||
Person responsible for the module | Dr. Windarto, M.Si. | ||||||||||||||
Language | Indonesian | ||||||||||||||
Relation to curriculum | Compulsory / elective / specialisation | ||||||||||||||
Teaching methods | Lecture, lesson and project | ||||||||||||||
Workload (incl. contact hours, self-study hours) | 3 x 170 minutes (3 x 50 minutes lecture and lesson, 3 x 60 minutes structural activities, 3 x 60 minutes self-study) per week for 16 weeks | ||||||||||||||
Credit points | 3 CP (4.8 ECTS) | ||||||||||||||
Required and recommended prerequisites for joining the module | – | ||||||||||||||
Module objectives/intended learning outcomes | General Competencies: Students are expected to be able to analyze mathematical models in the form of fractional derivative orders.
Specific Competencies Students are expected to be able to: (1) solve systems of linear fractional differential equations and carry out stability analysis of the equilibrium point. (2) perform numerical simulations of fractional differential equation systems with Caputo fractional derivative and interpret the simulation results. (3) construct and analyze fractional order models and compose scientific articles on fractional models. | ||||||||||||||
Content | This course discusses fractional order derivatives, systems of fractional differential equations, equilibrium and stability analysis of fractional order differential equation system equilibria, mathematical models of competition between species, and parameter estimation in fractional order mathematical models. | ||||||||||||||
Examination forms | Essay, oral presentation and final report writing | ||||||||||||||
Study and examination requirements | Students are considered to pass if they at least have got final score 40 (D). The assessments include the assignment, presentation and final report writing.
Final score is calculated as follow: 10% softskill + 40% assignment + 50% presentation and final report writing.
Final index is defined as follow:
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Reading list | 1. Diethelm, K., 2010, The Analysis of Fractional Differential Equations, Springer, New York. 2. Podlubny, I., 1999, Fractional Differential Equations, Vol. 198, Academic press, New York. 3. Petras, I., 2011, Fractional-Order Nonlinear Systems Modeling, Analysis and Simulation, Springer, London. 4. Scientific articles related to fractional modelling. |
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