This course teaches how mathematical modeling helps understand innovation management. The aim of this course is to acquire analytical skills which are required to learn and to conduct research on technology management.
Modeling is a good tool to grasp the essence of individuals and organizations. In this course, the students will learn and exercise the methodology of mathematical modeling.
In this course, the students will learn:
1) how to grasp the cause-and-effect relationship in innovation management and make a mathematical model to describe it qualitatively and quantitatively.
2) how to analyze mathematical models.
3) how to interprete the results properly by comparison with practice.
differential equation, difference equation, numerical analysis, evolutionary game theory
|✔ Specialist skills||Intercultural skills||Communication skills||Critical thinking skills||✔ Practical and/or problem-solving skills|
Give a lecture and then exercises are assigned to students.
|Course schedule||Required learning|
|Class 1||Introduction: what social simulation is?||learn what social simulation is|
|Class 2||Numerical analysis in Mathematica||learn how to analyze differential and difference equations in Mathematica|
|Class 3||Basic differential equation and its execises||learn the basic differential equation and exercise it|
|Class 4||Application of differential equation to the evolutionary game theory||learn evolutionary game theory based on differential equation|
|Class 5||Application of differential equation to the evolutionary game theory||learn evolutionary game theory based on differential equation|
|Class 6||Basic difference equation and its execises||learn the basic difference equation and then exercise it.|
|Class 7||Basic difference equation and its execises||learn cultural evolution model based on difference equation|
|Class 8||Execises: Make a model using diffential or difference equations||Make a model, using what students have learned|