BASIC DIFFERENTIAL EQUATIONS
理工学部 - 理工学部共通科目(英語コース)
SCT6710E
コース情報
担当教員: 荒井 真美子
単位数: 2
年度: 2024
学期: 秋学期
曜限: 火2
形式: 対面授業
レベル: 100
アクティブラーニング: なし
他学部履修: 不可
評価方法
定期試験
定期試験期間中
中間試験
授業期間中
その他
Homework assignments
詳細情報
概要
Natural or physical phenomena are often modeled using differential equations. To understand the phenomena it is important to know how to obtain mathematical solutions for the models. In this course, techniques to solve differential equations as well as geometric methods to obtain qualitative ideas for differential equations will be studied. There will be two exams, midterm and final. They will be held offline on campus.
目標
To know the usefulness of differential equations and gain the problem solving techniques. It is important to know when it is easy to find solutions and how they behaves, for further studies in computing, engineering, science, applied mathematics and other fields.
授業外の学習
Homework assignments Review all the materials covered in class
所要時間: 190
スケジュール
- Motivation and classification of Differential equations
- Separation of variables
- Qualitative analysis
- First order linear Differential equations
- First order nonlinear Differential equations (1)
- First order nonlinear Differential equations (2)
- Initial value problem
- Midterm Exam
- Second order homogeneous linear differential equations with constant coefficients
- Solution space
- Higher order linear differential equations with constant coefficients
- Second order non-homogeneous linear differential equations with constant coefficietns (1)
- Second order non-homogeneous linear differential equations with constant coefficients (2)
- Second order linear differential equations with variable coefficients
教科書
Nagle, R.K., Staff, E.B., and Snider, A.D. 'Fundamentals of Differential Equations' (Springer International Publishing AG)
参考書
書籍情報はありません。