MAT304 – Mathematical Modeling I

Module designation

Mathematical Modeling I (MAT304)

Semester(s) in which the module is taught

5^th 

Person responsible for the module

Prof. Dr. Fatmawati, M.Si.

Language

Indonesian and english

Relation to curriculum

Compulsory / elective / specialisation

Teaching methods

Lecture, lesson and project

Workload (incl. contact hours, self-study hours)

2×170 minutes (2×50 minutes lecture and lesson, 2×60 minutes structural activities, 2×60 minutes self-study) per week for 16 weeks

Credit points

2 CP (3,2 ECTS)

Required and recommended prerequisites for joining the module

Multivariable  Calculus (MAA203);

Ordinary Differential Equation (MAT210)

Module objectives/intended learning outcomes

General Competence (Knowledge)

Understanding the concept and stages of mathematical modeling on a real problem especially in the field of life science.

Specific Competence: Students capable of

1.      Understanding the principle of the mathematical modeling

2.      Understanding the basic concept of the dynamical system

3.      Explaining the basic model of the epidemiology

4.      Explaining the model host-vector.

5.      Applying the mathematical modeling of epidemiology on a real problem

Content

Understanding the mathematical modeling, formulation of the mathematical modeling in the life science, model analysis , numerical simulation and interpretation of the model.

Examination forms

Essay and oral presentation

Study and examination requirements

Students are considered to pass if they at least have got a final score 40 (D).

The assessments include the essay test (quiz, middle exam) and group presentations (final exam).

Final score is calculated as follow: 10% softskill + 18% assignment + 16% quiz +  26% middle term + 30% final term

Final index is defined as follow:

Reading list

1. Brauer, F., and Castillo-Chavez, C., 2012, Mathematical Models in Population Biology and Epidemiology, Springer-Verlag, New York, Inc.
2. Giardiano, F. R., Weir, M. D., and Fox, W. P., 2003, Mathematical Modeling, 3^rd Edition, Brooks/Cole, USA.
3. De Vries, G.,Hillen, T., Lewis, M., Muller, J., and Schonfisch, B., 2006, A Course in mathematical Biology: Quantitative Modeling with Mathematical and Computational Methods, SIAM, Philadelphia.
4. Ma, Z., Zhou, Y., and Wu, J., 2009, Modeling and Dynamics of Infectious Diseases, World Scientific, New Jersey.
5. Latest journals (last 3 years) related to the topic of modelling case studies