Course title
401270002
Fourier Analysis

 yamazawa hiroshi Click to show questionnaire result at 2018
Course description
At Fourier analysis we will study introductions to Fourier analysis that are used make of some subjects of Engineering, for example Information Theory. We can calculate Fourier series expansion of functions and solve some differential equations via Fourier transform and Laplace transform.
Purpose of class
We can understand the definition of Fourier series expansion and calculate Fourier series expansion of some functions. we can understand the definition of Fourier transform and calculate Fourier transform of some easy functions. We can apply Fourier transform and solve some differential equations. We can understand a definition of Laplace change and calculate Laplace transform of some easy functions. We can apply Laplace transform and solve some differential equations.
Goals and objectives
  1. We can understand the definition of Fourier series expansion and calculate Fourier series expansion of some functions.
  2. we can understand the definition of Fourier transform and calculate Fourier transform of some easy functions.
  3. We can solve some differential equations via Fourier transform.
  4. We can understand a definition of Laplace change and calculate Laplace transform of some easy functions.
  5. We can solve some differential equations via Laplace transform.
Language
Japanese
Class schedule

 Class schedule HW assignments (Including preparation and review of the class.) Amount of Time Required
1. What is Fourier series? 1 text:p2-p9 60minutes
2. What is Fourier series? 2 text:p2-p9 60minutes
3. Fourier series and even and odd of functions text:p10-p17 60minutes
4. Complex Fourier series expansion text:p26-p29 60minutes
5. Residue number Lecture note 60minutes
6. What is Fourier transform? text:p36-p43 60minutes
7. exam1 Lesson 1~6 120minutes
8. the Delta function text:p44-p49 60minutes
9. Some examples of Fourier transform text:p58-p67 60minutes
10. Fourier transform and ordinary differential equations, Sampling theorem text:p68-p73 60minutes
11. What is Laplace transform? text:p82-p91 60minutes
12. Laplace transform and some ordinary differential equations text:p92-p103 60minutes
13. exercise Lecture note 60minutes
14. exam2 Lesson 8~13 120minutes
Total. - - 960minutes
Relationship between 'Goals and Objectives' and 'Course Outcomes'

 exam1 exam2 Total.
1. 25% 25%
2. 25% 25%
3. 20% 20%
4. 15% 15%
5. 15% 15%
Total. 50% 50% -
Evaluation method and criteria
exam1:50%、exam2:50％
Textbooks and reference materials
text：「フーリエ解析」、井町昌弘・内田伏一、裳華房
Prerequisites
Complex analysis
Office hours and How to contact professors for questions
  • 13:10~14:50 at Thursday
Regionally-oriented
Non-regionally-oriented course
Development of social and professional independence
  • Course that cultivates an ability for utilizing knowledge
Active-learning course
More than one class is interactive
Course by professor with work experience
Work experience Work experience and relevance to the course content if applicatable
N/A N/A
Education related SDGs:the Sustainable Development Goals
  • 4.QUALITY EDUCATION
Last modified : Tue Sep 15 04:04:30 JST 2020