Numerical Methods

Teacher: dr. Miljenko Marušić, professor
Semester: third
ECTS: 4
Required course

  1. To introduce students to the application of mathematical modelling in the analysis of biomedical systems including populations of molecules, cells and organisms.
  2. To show how mathematics, especially ordinary differential equations and computing can be used in an integrated way to analyse biomedical systems.
  1. To have an enhanced knowledge and understanding of mathematical modelling and mathematical methods using differential equations for the analysis of biological/medical systems.
  2. To be able to assess biological/medical inferences that rest on mathematical arguments.
  3. To be aware of the use of differential equations and computers to assist them in studying biological/medical systems.
  4. To be able to formulate and analyse dynamical models using difference equations.
  5. To use differential equations to model population dynamics of single and multiple species and infectious diseases.
  6. To use qualitative theory of ordinary differential equations to derive conclusions in models used for biomedical systems.
  1. Nonlinear regression
  2. Numerical solution of ODE
  3. Nonlinear minimization
  4. Monte-Carlo simulation
  • Course objectives

    1. To introduce students to the application of mathematical modelling in the analysis of biomedical systems including populations of molecules, cells and organisms.
    2. To show how mathematics, especially ordinary differential equations and computing can be used in an integrated way to analyse biomedical systems.
  • Expected learning outcomes

    1. To have an enhanced knowledge and understanding of mathematical modelling and mathematical methods using differential equations for the analysis of biological/medical systems.
    2. To be able to assess biological/medical inferences that rest on mathematical arguments.
    3. To be aware of the use of differential equations and computers to assist them in studying biological/medical systems.
    4. To be able to formulate and analyse dynamical models using difference equations.
    5. To use differential equations to model population dynamics of single and multiple species and infectious diseases.
    6. To use qualitative theory of ordinary differential equations to derive conclusions in models used for biomedical systems.
  • Course content

    1. Nonlinear regression
    2. Numerical solution of ODE
    3. Nonlinear minimization
    4. Monte-Carlo simulation
PMF
EU fondovi
UNI-ZG