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Substance Information Studies
Yasuyuki NAKAMURA Associate Professor
Department: School of Informatics and Sciences
|Class Time:||2010 Fall Monday|
|Recommended for:||Informatics and Science major students|
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.
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.
- 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.
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
No textbooks are assigned.
Hans J. Weber and George B. Arfken, Mathematical Methods for Physicists, Academic Press, 6 editions, 2005
Assignments are given from the example problems in lecture notes
|1||Basic concepts of differential equations|
|2||First order differential equations|
|4||Linear differential equations|
|6||Power series solution for differential equations|
|8||Qualitative theory of ordinary differential equations|
|13||Power spectrum and auto-correlation function|
|14||Discrete Fourier transform|
Students will be evaluated based on the report assignments and final term examination.
*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.
- Basic concepts of differential equations (PDF, 66KB)
- First order differential equations (PDF, 90KB)
- Data analysis (PDF, 137KB)
Page last updated February 11, 2009
The class contents were most recently updated on the date indicated. Please be aware that there may be some changes between the most recent year and the current page.