To understand a phenomenon in depth, it is necessary to know not only the data of the phenomenon, but also the rules that
generate the data. A mathematical model is a mathematical description of those rules. In addition, to simulate a phenomenon,
it is necessary to describe it in a mathematical model.
In this class, students learn the basics of mathematical models limited to differential equations.
In this class, students learn the basics of mathematical models limited to differential equations.
The purpose of this class is to understand mathematical modeling of phenomena and its analytical methods.
In particular, the objectives are mathematical modeling using differential equations, analysis using mathematical theory and computers, and understanding of phenomena by analytical results.
In particular, the objectives are mathematical modeling using differential equations, analysis using mathematical theory and computers, and understanding of phenomena by analytical results.
- To be able to understand mathematical models of various phenomena.
- To be able to use basic mathematical methods for differential equations.
- To be able to use numerical methods for solving differential equations.
| Class schedule | HW assignments (Including preparation and review of the class.) | Amount of Time Required | |
|---|---|---|---|
| 1. | Introduction to Mathematical Models | Read through the handouts before class. Review after class. | 190minutes |
| 2. | Ordinary Differential Equation 1: method of separation of variables and logistic equation | Read through the handouts before class. Review after class. | 190minutes |
| 3. | Ordinary differential equation 2: inhomogeneous linear differential equation of 1st order and RL circuit | Read through the handouts before class. Review after class. | 190minutes |
| 4. | Ordinary differential equation 3: homogeneous linear differential equation of 2nd order and spring-mass system | Read through the handouts before class. Review after class. | 190minutes |
| 5. | Ordinary differential equation 4: inhomogeneous linear differential equation of 2nd order and spring-mass-damper system | Read through the handouts before class. Review after class. | 190minutes |
| 6. | Ordinary Differential Equation 5: system of linear differential equations and eigenvalue | Read through the handouts before class. Review after class. | 190minutes |
| 7. | Midterm examination and its explanation | Preparation of midterm examination. | 190minutes |
| 8. | Partial Differential Equation 1: wave equation and vibration | Read through the handouts before class. Review after class. | 190minutes |
| 9. | Partial differential equation 2: diffusion equation and diffusion of matter | Read through the handouts before class. Review after class. | 190minutes |
| 10. | Partial differential equation 3: laplace and poisson equations | Read through the handouts before class. Review after class. | 190minutes |
| 11. | Numerical solution method 1: finite-difference method | Read through the handouts before class. Review after class. | 190minutes |
| 12. | Numerical Solution 2: finite-difference method by Python | Read through the handouts before class. Review after class. | 190minutes |
| 13. | Design and evaluation of mathematical models | Read through the handouts before class. Review after class. | 190minutes |
| 14. | Final examination and its explanation | Preparation of final examination. | 190minutes |
| Total. | - | - | 2660minutes |
| Midterm examination | Final examination | Reports and little examinations | Total. | |
|---|---|---|---|---|
| 1. | 17% | 13% | 20% | 50% |
| 2. | 13% | 7% | 13% | 33% |
| 3. | 10% | 7% | 17% | |
| Total. | 30% | 30% | 40% | - |
Midterm examination(30%), Final examination(30%), Reports and Little examinations(40%)
60% if students can understand and solve exercises in the handouts
60% if students can understand and solve exercises in the handouts
Review Differential and Integral Calculus 1, Linear Algebra 1, Differential and Integral Calculus 2
- Course that cultivates an ability for utilizing knowledge
| Work experience | Work experience and relevance to the course content if applicable |
|---|---|
| N/A | 該当しない |
Last modified : Sat Mar 26 04:03:53 JST 2022