| １． |
Outline |
|
"Computer simulation" means to simulate behaviors or characteristics of actual systems by running computer programs. In the modern world with highly-developed economic, social, and production systems, computer simulation is indispensable for planning, analyzing, predicting or optimizing these systems.
In this course, students are required to use LMS and Scilab/Scicos, a free software for computer simulation and mathematical analysis. Important contents to be learned in this course are:
1. Introduction to computer simulation, modeling principles
2. Introduction to Scilab/Scicos
3. Simulation of differential equations
4. Laplace transform and block diagrams for simulation
5. Probability distribution and stochastic systems
6. Simulation on Least Squares Method
7. Simulation of system optimization: linear/nonlinear programming
Students are expected to acquire the knowledge and techniques related to DP2.
|
| ２． |
Objectives |
|
The first objective is to learn and understand the basics of computer simulation and Scilab/Scicos.
The second objective is to develop mathematical models and block diagrams to simulate system behaviors with Scilab/Scicos.
The third objective is to simulate system optimization with Scilab or Microsoft Excel.
|
| ３． |
Grading Policy |
|
Grading policy is based on the answer reports to assignments A and B (30%), and on final examination at the campus (70%). The correct answers to the assignments are sent to students after report submission and before examination.
|
| ４． |
Textbook and Reference |
|
Hiroshi Hashimoto and Chiharu Ishii: Basics of Simulation with Scilab/Scicos, Ohm-sya, 2008 (in Japanese)
ISBN978-4-274-20487-6
|
| ５． |
Requirements (Assignments) |
|
In this course, it is necessary to have basic understanding of mathematics, especially in differentials and integrals. When students are lacking in these, they should study these with the textbook and with other related books and write down the things studied in a notebook. This course has 15 sessions and at each session, students should spend at least two hours in average for the above preparation study before the session and review after the session.
Students should spend at least 30 hours in total for preparation, review, exercise and assignment work and writing reports.
|
| ６． |
Note |
|
It is necessary for students to install Scilab/Scicos in their PC.
This course uses LMS.
|
| ７． |
Schedule |
|
１. Basics of computer simulation with mathematical models, Install of Scilab/Scicos
|
| ２. Basic operation of Scilab/Scicos (1): chapter 2 of the textbook |
| ３. Basic operation of Scilab/Scicos (2): chapter 3 of the textbook |
| ４. Review of the basics of differentials and integrals |
５. Review of mathematics and mathematics in Scilab: matrices, probability distributions
(section 4.1, 4.2 in the textbook) |
| ６. Laplace and inverse Laplace transform (section 4.3 in the textbook) |
７. Continuous-time and discrete-time model, transfer function, block diagram
(section 4.4.1, 4.4.2 in the textbook) |
| ８. Model approximation based on least squares method (section 4.5.1, 4.5.2 in the textbook) |
| ９. Mathematical model in natural science -- diffusion model (section 5.1 in the textbook) |
| 10. Model of the spread of epidemic disease (section 5.2 in the textbook) |
| 11. Predators-victims model (section 5.3 in the textbook) |
| 12. Waiting queue (1) (section 6.5.1-6.5.3 in the textbook) |
| 13. Waiting queue (2) (section 6.5.4 in the textbook) |
| 14. Linear and nonlinear programming (1) (section 6.6 in the textbook) |
| 15. Linear and nonlinear programming (2) |
|
| １． |
Outline |
|
"Computer simulation" means to simulate behaviors or characteristics of actual systems by running computer programs. In the modern world with highly-developed economic, social, and production systems, computer simulation is indispensable for planning, analyzing, predicting or optimizing these systems.
In this course, students are required to use LMS and Scilab/Scicos, a free software for computer simulation and mathematical analysis. Important contents to be learned in this course are:
1. Introduction to computer simulation, modeling principles
2. Introduction to Scilab/Scicos
3. Simulation of differential equations
4. Laplace transform and block diagrams for simulation
5. Probability distribution and stochastic systems
6. Simulation on Least Squares Method
7. Simulation of system optimization: linear/nonlinear programming
Students are expected to acquire the knowledge and techniques related to DP2.
|
| ２． |
Objectives |
|
The first objective is to learn and understand the basics of computer simulation and Scilab/Scicos.
The second objective is to develop mathematical models and block diagrams to simulate system behaviors with Scilab/Scicos.
The third objective is to simulate system optimization with Scilab or Microsoft Excel.
|
| ３． |
Grading Policy |
|
Grading policy is based on the answer reports to assignments A and B (30%), and on final examination at the campus (70%). The correct answers to the assignments are sent to students after report submission and before examination.
|
| ４． |
Textbook and Reference |
|
Hiroshi Hashimoto and Chiharu Ishii: Basics of Simulation with Scilab/Scicos, Ohm-sya, 2008 (in Japanese)
ISBN978-4-274-20487-6
|
| ５． |
Requirements (Assignments) |
|
In this course, it is necessary to have basic understanding of mathematics, especially in differentials and integrals. When students are lacking in these, they should study these with the textbook and with other related books and write down the things studied in a notebook. This course has 15 sessions and at each session, students should spend at least two hours in average for the above preparation study before the session and review after the session.
Students should spend at least 30 hours in total for preparation, review, exercise and assignment work and writing reports.
|
| ６． |
Note |
|
It is necessary for students to install Scilab/Scicos in their PC.
This course uses LMS.
|
| ７． |
Schedule |
|
１. Basics of computer simulation with mathematical models, Install of Scilab/Scicos
|
| ２. Basic operation of Scilab/Scicos (1): chapter 2 of the textbook |
| ３. Basic operation of Scilab/Scicos (2): chapter 3 of the textbook |
| ４. Review of the basics of differentials and integrals |
５. Review of mathematics and mathematics in Scilab: matrices, probability distributions
(section 4.1, 4.2 in the textbook) |
| ６. Laplace and inverse Laplace transform (section 4.3 in the textbook) |
７. Continuous-time and discrete-time model, transfer function, block diagram
(section 4.4.1, 4.4.2 in the textbook) |
| ８. Model approximation based on least squares method (section 4.5.1, 4.5.2 in the textbook) |
| ９. Mathematical model in natural science -- diffusion model (section 5.1 in the textbook) |
| 10. Model of the spread of epidemic disease (section 5.2 in the textbook) |
| 11. Predators-victims model (section 5.3 in the textbook) |
| 12. Waiting queue (1) (section 6.5.1-6.5.3 in the textbook) |
| 13. Waiting queue (2) (section 6.5.4 in the textbook) |
| 14. Linear and nonlinear programming (1) (section 6.6 in the textbook) |
| 15. Linear and nonlinear programming (2) |
|
|