FOURIER & LAPLACE TRANSFORMS
理工学部 - 理工学部共通科目(英語コース)
SCT6730E
コース情報
担当教員: 荒井 真美子
単位数: 2
年度: 2024
学期: 春学期
曜限: 火2
形式: 対面授業
レベル: 200
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
Fourier and Laplace transforms play an important role in various fields of study such as differential equations, probability theory and signal processing. In this course, the fundamentals of Fourier series, Fourier and Laplace transforms will be studied. There will be two exams, midterm and final. They will be held offline on campus.
目標
To be familiar with the theory and application of Fourier series, Fourier and Laplace transforms, and prepared for further studies in mathematics as well as science, engineering, computing and other fields.
授業外の学習
Homework assignments Review all the materials covered in class
所要時間: 190 min
スケジュール
- Motivation and Definition of Fourier series
- Property of Sinusoidal functions
- Fundamental theorem of Fourier series
- Application of Fourier series
- Function space
- Complex Fourier series
- Spectrum of periodic functions
- Midterm Exam
- Fourier integral and Fourier transform
- Application of Fourier transform
- Property of Fourier transform
- Definition of Laplace transform
- Property of Laplace transform
- Application of Laplace tranfrom
教科書
R.J. Beerends, H.G. ter Morsche, J.C. van den Berg and E.M. van de Vrie, 'Fourier and Laplace Transform' (Cambridge University Press, 2003)
参考書
書籍情報はありません。