This course aims to develop the ability to view the global aquatic environment as a system consisting of water, energy, and
material flow and to model natural phenomena related to the aquatic environment using mathematical formulas. In the first
half of the lecture, students will acquire basic knowledge of hydrology, such as describing the flow of water and energy,
the basic laws, and how to model the water cycle. In the second half of the lecture, students learn how to solve differential
equations of mathematical models analytically and numerically, respectively, using the phenomenon of runoff from rainfall
as a concrete example, and learn techniques to predict the water cycle by utilizing numerical models.
Students acquire the ability to understand the environmental phenomena as an environmental system, to describe the system
as a mathematical model (differential equation) , and to solve the equation and predict the change in the environment.
- To obtain the ability to describe the phenomena related to environment around us as an environmental system using the physical laws, conservation, movement, and state equations.
- To obtain the ability to explain the mathematical models with physical quantity considering its dimension.
- To obtain the ability to understand the differential equation and to solve it through analytical and numerical methods.
| Class schedule | HW assignments (Including preparation and review of the class.) | Amount of Time Required | |
|---|---|---|---|
| 1. | Concept of Environmental System ・Hydrologic Cycle / Matter Flow / Energy Flow ・Quantitative and Qualitative Understanding |
Read the syllabus and understand the outline of the lecture. | 90minutes |
| 2. | Description of Environmental System (1) ・Physical quantity and dimension ・Physical quantity and unit system |
Understand the concept of dimension and the conversion of unit system for physical quantity. | 90minutes |
| 3. | Water and energy cycle system (1) ・Water balance of river system ・Summary of water balance |
Review the hydrologic cycle of river basin. | 90minutes |
| 4. | Water and energy cycle system (2) ・Energy flow system of the earth ・Earth - Sun system |
Review the light, heat and energy that you learned from the lecture, "Introduction to Environmental Science “, in the first grade. | 90minutes |
| 5. | Water and energy cycle system (3) ・Earth - Atmosphere - Sun system ・Greenhous effect |
Review the greenhouse effect that you learned from the lecture, "Introduction to Environmental Science “, in the first grade. | 90minutes |
| 6. | Water and energy cycle system (4) ・Concept of Mixing equation ・Application the equation to contamination problems |
Review how to describe the concentration of chemical matter | 90minutes |
| 7. | Summary of the lecture | Review all the content of the lecture | 90minutes |
| 8. | Modeling an Environmental System (1) - Basic of conceptual model - Tank model |
Review calculus that you have learned in high schools. | 90minutes |
| 9. | Modeling of Environment System (2) ・Mathematical characteristics of Tank Model ・Analytical solution of Tank Model |
Deeply understand the finite difference method. | 90minutes |
| 10. | Modeling an Environmental System (３) - Response function model - A unit hydro method and principle of overlaying - Assignment |
Review a unit hydro method | 90minutes |
| 11. | Modeling an Environmental System (４) - Differentiation of partial differential equation - Differential method (explicit and implicit method) |
Review how to solve the Tank Model equation numerically. | 90minutes |
| 12. | Modeling an Environmental System (５) ・Accuracy and stability |
Deepen the understanding of a differentiation of partial differential equation | 90minutes |
| 13. | Summary of Environmental System Models - Review of all the contents of environmental system models |
Review and organize the content of the whole lecture. | 90minutes |
| 14. | Summary of the lecture - Review all the content of the lecture |
Understand whole lecture contents and prepare for the final exam | 90minutes |
| Total. | - | - | 1260minutes |
| quiz | report | final exam | Total. | |
|---|---|---|---|---|
| 1. | 15% | 10% | 10% | 35% |
| 2. | 15% | 0% | 15% | 30% |
| 3. | 20% | 0% | 15% | 35% |
| Total. | 50% | 10% | 40% | - |
Your final grade will be calculated according to the following process: quiz (50%, occasionally given), report (10%) and final
exam (40%).
To pass, students must earn at least 60 points out of 100.
To pass, students must earn at least 60 points out of 100.
- I welcome questions after each lecture.
Office hour: lunch time on Thursday (please be informed in advance)
- Course that cultivates an ability for utilizing knowledge
| Work experience | Work experience and relevance to the course content if applicable |
|---|---|
| N/A | N/A |
- 6.CLEAN WATER AND SANITATION
- 13.CLIMATE ACTION
Last modified : Sat Mar 19 00:09:33 JST 2022