Substance Information Studies
| Lecturer | Yasuyuki NAKAMURA, Associate Professor |
|---|---|
| Department | School of Informatics and Sciences, 2010 Fall |
| Recommended for: | Informatics and Science major students (2・1.5 hours. / session 1 session / week 15 weeks / semester) |
Course Aims
Differential Equation and Fourier transform are essential concepts to understand many events of natural sciences. Therefore, in this lecture, we will focus on these two mathematical methods and their application for data analysis.
Key Features
Important materials of this course will be emphasized in the class. Therefore I would like all the students to attend and concentrate on the lecture. Handouts will be given but only for the supplemental use.
Also, we will be using many figures on the behavior of solution of differential equations and the results of power spectrum and auto-correlation function obtained with time series analysis technique. These visual figures will help you consolidate your understanding of these mathematical methods.
Course Overview
- To become able to solve typical types of differential equations and explain the concepts of stability.
- To understand the meaning of Fourier transform and its application for the simple data analysis.
Professor NAKAMURA Yasuyuki (Associate professor)
Many Body Systems Science Group, Department of Complex Systems Science, Graduate School of Information Science, Nagoya University
Room:Graduate School of Information Science room 804
Textbooks
No textbooks are assigned.
Related Resources
Hans J. Weber and George B. Arfken, Mathematical Methods for Physicists, Academic Press, 6 editions, 2005
Assignments
Assignments are given from the example problems in lecture notes
Course Schedule
| Session | Contents |
|---|---|
| 1 | Basic concepts of differential equations |
| 2 | First order differential equations |
| 3 | |
| 4 | Linear differential equations |
| 5 | |
| 6 | Power series solution for differential equations |
| 7 | |
| 8 | Qualitative theory of ordinary differential equations |
| 9 | |
| 10 | Fourier series |
| 11 | Fourier transform |
| 12 | |
| 13 | Power spectrum and auto-correlation function |
| 14 | Discrete Fourier transform |
| 15 | Data analysis |
Lecture Handouts
*Lecture notes are uploaded but only available in Japanese.
Since some of the students skip classes when they get fully covered lecture notes, the lecture notes are made only for your supplemental use.
No.1
No.2
No.10
Grading
Students will be evaluated based on the report assignments and final term examination.
Last updated
December 23, 2019