| Program / Major | mDP | Goals |
|---|---|---|
| Mathematical Sciences Course | DP-4・2 | キャリアを見据えた高度な専門知識 現象の背後にある数理構造やデータのパターンを理論的に解析し、社会や自然科学、工学における複雑な課題に対して数理的視点から解決戦略を提案できる。 |
The purpose of this class is to learn how to recognize some of the basic different types of differential equations, to learn
how to apply some common techniques used to obtain solutions of differential equations and to appreciate how differential
equations arise in applications. This class also includes a review on the content learned in the class of differential equations
at the time of first grade.
You will learn what a differential equation is and how to recognize some of the basic different types. You will learn how
to apply some common techniques used to obtain general solutions of differential equations and how to fit initial or boundary
conditions to obtain a unique solution. You will appreciate how differential equations arise in applications and you will
gain some experience in applying your knowledge to model a number of engineering problems using differential equations.
- You can describe how to recognize some of the basic different types of differential equations
- You can describe how to apply some common techniques used to obtain solutions of differential equations
- You can describe how differential equations arise in applications
| Mid-term exam | Final exam | Total. | |
|---|---|---|---|
| 1. | 20% | 20% | 40% |
| 2. | 20% | 20% | 40% |
| 3. | 10% | 10% | 20% |
| Total. | 50% | 50% | - |
Mid-term exam and Final exam. When the minimum and maximum scores of the midterm and final examinations are m and M, respectively,
a student is considered to have passed if m≥30 and M≥60, where M is the grade.
| Class schedule | HW assignments (Including preparation and review of the class.) | Amount of Time Required | |
|---|---|---|---|
| 1. | Orientation, Case study of modelling | Exercises for the models | 190minutes |
| 2. | General solution | Review general solutions | 190minutes |
| 3. | Method of separation of variables | Applying the method of separation of variables | 190minutes |
| 4. | Inverse function | Review inverse functions | 190minutes |
| 5. | Linear differentila equations | Solving exact equations | 190minutes |
| 6. | Finding the Integrating factor | Solving equations via integrating factors | 190minutes |
| 7. | From nonlinear differential equations to linear differential equations | Review Bernoulli differential equations and Riccati differential equations | 190minutes |
| 8. | Mid-term exam and review | Review Sessions 1-7 | 190minutes |
| 9. | 2nd order constant coefficient equations | Finding complementary functions | 190minutes |
| 10. | 2nd order constant coefficient equations: exercise | Finding complementary functions | 190minutes |
| 11. | Particular integral | Finding particular integrals | 190minutes |
| 12. | General solution of inhomogeneous case | Finding general solutions | 190minutes |
| 13. | Applications | Exercises for the models | 190minutes |
| 14. | Final exam and review | Review Sessions 9-13 | 190minutes |
| Total. | - | - | 2660minutes |
| ways of feedback | specific contents about "Other" |
|---|---|
| Feedback outside of the class (ScombZ, mail, etc.) |
No textbook
References (English in mathematics for Japanese students)
原田なをみ・D.Croydon（監修）、服部久美子（著）「数学のための英語教本」（共立出版）
銀林浩、銀林純「数・数式と図形の英語」（日興企画）
References (English in mathematics for Japanese students)
原田なをみ・D.Croydon（監修）、服部久美子（著）「数学のための英語教本」（共立出版）
銀林浩、銀林純「数・数式と図形の英語」（日興企画）
- During class periods, every Wednesday after 4th period (it is advisable to call in advance when visiting).
- Course that cultivates an ability for utilizing knowledge
| Work experience | Work experience and relevance to the course content if applicable |
|---|---|
| N/A | N/A |
- 4.QUALITY EDUCATION
- 9.INDUSTRY, INNOVATION AND INFRASTRUCTURE
Last modified : Sat Mar 14 14:55:35 JST 2026