- School of Science
- School of Engineering
- Group 2
- Group 3
- Group 4
- Group 5
- Group 6
- Metallurgical Engineering
- Organic and Polymeric Materials
- Inorganic Materials
- Chemical Engineering Course
- Chemical Engineering Course(Chemical Engineering)
- Applied Chemistry Course(Chemical Engineering)
- Polymer Chemistry
- Mechanical Engineering and Science
- Mechanical and Intelligent Systems Engineering
- Mechano-Aerospace Engineering
- International Development Engineering
- Control and Systems Engineering
- Industrial and Systems Engineering
- Electrical and Electronic Engineering
- Computer Science
- Civil Engineering
- Architecture and Building Engineering
- Social Engineering
- International Development Engineering
- International Development Engineering
- International Development Engineering
- International Development Engineering
- International Development Engineering
- International Development Engineering

- School of Bioscience and Biotechnology
- Common Course of Undergraduate School

- Graduate School of Science and Engineering
- Mathematics
- Physics(Particle- Nuclear- and Astro-Physics)
- Physics(Condensed Matter Physics)
- Chemistry
- Earth and Planetary Sciences
- Chemistry and Materials Science
- Metallurgy and Ceramics Science
- Organic and Polymeric Materials
- Applied Chemistry
- Chemical Engineering
- Common Course of Mechanical Engineering
- Mechanical Sciences and Engineering
- Mechanical and Control Engineering
- Mechanical and Aerospace Engineering
- Common Course of Electronic Engineering
- Electrical and Electronic Engineering
- Physical Electronics
- Communications and Integrated Systems
- Civil Engineering
- Architecture and Building Engineering
- International Development Engineering
- Nuclear Engineering

- Graduate School of Bioscience and Biotechnology
- Interdisciplinary Graduate School of Science and Engineering
- Built Environment
- Energy Sciences
- Computational Intelligence and Systems Science
- Electronic Chemistry
- Materials Science and Engineering
- Innovative and Engineered Materials
- Environmental Chemistry and Engineering
- Environmental Science and Technology
- Mechano-Micro Engineering
- Information Processing
- Electronics and Applied Physics
- Precision Machine

- Graduate School of Information Science and Engineering
- Graduate School of Decision Science and Technology
- Graduate School of Innovation Management
- Common Course of Graduate School

- Lecturer
- Yamashita Yukihiko

- Place
- Thr7-8(S611)

- Credits
- Lecture2 Exercise0 Experiment0

- Code
- 70042

- Syllabus updated
- 2011/9/30

- Lecture notes updated
- 2011/9/20

- Semester
- Fall Semester

Linear algebra (eigenvalue problem, singular value decomposition,

and generalized inverse matrix), optimization technique (gradient method, conjugate gradient method, and quasi-Newton method), and statistics (estimation and test) are lectured.

The objective of this course is to provide fundamental optimization technique

and statistics to handle various quantities with respect to international development.

In order to understand those knowledges, basic mathematics for them is also provided.

1. Introduction

2. Eigenvalue decomposition and singular value decomposition

3. Generalized inverses of matrix

4. Maximum gradient method and Conjugate gradient method

5. Newton method and Quasi-Newton method

6. Lagrange窶冱 method and Karush–Kuhn–Tucker condition

7. Dual problem

8. Penalty method

9. Probability (Definition of Random variable)

10. Estimator (Maximum likelihood estimator and Bayesian estimator)

11. Cramer-Rao lower bound

12 Principle component analysis

13. Regression

14. Testing

15. Statistical learning theory

Copy of slide is prepared

Linear algebra

Statistics

Attendance

Homework

Report