Module Handbook-Mathematics-Universitas Brawijaya
Module Handbook
Module Name Mathematical Modeling
Module Level Bachelor
Abbreviation, if applicable MAM62304 Sub-Heading, if
applicable
-
Courses included in the module, if applicable
Mathematical Modeling
Semester/term 6th/third years
Module Coordinator(s) Chair of the Lab. Applied Analysis and Numerical Computation Lecturer(s) 1. Indah Yanti, S.Si., M.Si.
2. Zuraidah Fitriah, S.Si., M.Si.
3. Kwardiniya Andawaningtyas, S.Si.
4. Drs. Imam Nurhadi, M.T.
Language Bahasa Indonesia
Classification within the curriculum
Compulsory Course
Teaching format / class hours per week during semester
200 minutes lectures.
Workload Total workload is 6 ECTS, which consists of 3.33 hours lectures, 4 hours structured activities, 4 hours independent learning, 16 week per semester, and a total 181.33 hours per semester including mid exam and final exam.
Credit Points 4
Requirements according to the examination regulations
Student have attendance at least 80% on Calculus I class and registered as examinee in the academic information system.
Recommended prerequisties
Students have taken Introduction to Introduction to Partial Differential Equations course (MAM62302), Operation Research I course (MAM61403) and have participated in the final exam of the course.
Learning
goals/competencies or
Module
objectives/intended learning outcomes
After completing this course the student should have
CLO1 : ability to understand the concept of mathematical modeling CLO2 : ability to construct/formulate mathematical model for simple
realworld problems
CLO3 : ability to apply mathematical method to solve mathematical model and interpret the result
Module Handbook-Mathematics-Universitas Brawijaya
Content Topics:
1. Basic concept of mathematical modeling
2. Mathematical models based on differential equations.
3. Mathematical models based on optimization problems.
Attribut Soft Skill Discipline, honesty, cooperation and communication Study / exam
achevements:
The final mark will be weighted as follows:
No. Assessment methods (components, activities) Weight
1. Final Examination 30 %
2. Midterm Examination 30 %
3. Presentation 25 %
4. Assignment 15 %
Final grades is defined as follow: A : 80 < Final Mark ≤ 100 B+ : 75 < Final Mark ≤ 80
B : 69 < Final Mark ≤ 75
C+ : 60 < Final Mark ≤ 69
C : 55 < Final Mark ≤ 60
D+ : 50 < Final Mark ≤ 55
D : 44 < Final Mark ≤ 50
E : 0 ≤ Final Mark ≤ 44
Forms of Media Slides, LCD projectors, whiteboards, laptop Learning Methods Lecture, examination, team work, presentation
Literature 1. Braures, F., and Castillo-Chavez, C., 2010, Mathematical Models in Population Biology and Epidomology, 2nd Edition, Springer-Verlag, New York, Inc.
2. De Vries, G., Hillen, T., Lewis, M., Muller, J., and Schonfisch, B., 2006, A Course in Mathematical Biology: Quantitative Modelling with Mathematical and Computational Methods, SIAM, Philadelphia.
3. Dios Ortuzur, J. dan Willumsen, L.G., 1994, Modelling Transport, Willey Publish.
4. Giordano, F. R., Weir, M. D., dan Fox, W. P., 2003, A first course in mathematical modeling, 3rd ed., Thomson Learning, Inc.
5. Haberman, R, 1977, Mathematical Model: Mechanical Vibrations, Population Dynamics and profil flow, Prentice-Hall.
6. Larson, R. dan Odoni, R., 1981, Urban Operation Research, Prentice Hall.
7. Ma, Z., Zhou, Y., and Wu, J., 2009, Modelling and Dynamics of Infectious Diseases, World Scientific Publishing Company
8. Maki, D.P., M. Thomson, 1973, Mathematical Models and Applications, Prentice Hall Inc.
9. Meyer, W.J., 1987, Concepts of Mathematical Modelling, Mc Graw Hill.
10. Giordano, F. R., dan Weir, M. D., 1994, Differential Equations, a Modeling Approach, Addison-Wesley Publishing Company Inc., New York Don Mills, Ontario.
11. Schnderjans, M, 1995, Goal Programming: Methodology and Application, Springer Science& Business Media
Notes: