K5130010 Mathematical Optimization

Hiroshima University Syllabus

Japanese

Academic Year 2020Year School/Graduate School School of Engineering

Lecture Code K5130010 Subject Classification Specialized Education

Subject Name 数理最適化

Subject Name
（Katakana）スウリサイテキカ

Subject Name in
English Mathematical Optimization

Instructor KITAMURA MITSURU

Instructor
(Katakana) キタムラ　ミツル

Campus Higashi-Hiroshima Semester/Term 2nd-Year,  Second Semester,  4Term

Days, Periods, and Classrooms (4T) Mon3-4,Weds1-2：ENG 106

Lesson Style Lecture Lesson Style
【More Details】 Lecture

Credits 2 Class Hours/Week 　 Language on Instruction B : Japanese／English

Course Level 3 : Undergraduate High-Intermediate

Course Area（Area） 25 : Science and Technology

Course Area（Discipline） 10 : Integrated Engineering

Eligible Students 2nd year students

Keywords Optimization

Special Subject for Teacher Education 　 Special Subject 　

Class Status
within Educational
Program
Criterion referenced
Evaluation Program of Mechanical Systems Engineering
（Abilities and Skills）
・Acquring basis of mechanical system engineering steadily and developing the applied skill.

Program of Transportation Systems
（Knowledge and Understanding）
・The area of systems: Technical knowledge on systems, information and transportation systems relating to transportation equipment and coexistence with the environment
（Abilities and Skills）
・The area of systems: The ability to apply technical knowledge of systems, information and transportation systems to solve issues relating to the areas of transportation equipment and coexistence with the environment

Class Objectives
/Class Outline Optimization

Class Schedule lesson 1 Guidance and Linear Programing
lesson 2 Slack variables and Simplex method
lesson 3 Dual problem
lesson 4 Multi objective problem
lesson 5 Nonlinear optimization problem, Taylor expansion equation and Numerical derivatives
lesson 6 One variable search and Steepest descent method
lesson 7 Newton method, Quasi-Newton method
lesson 8 Midterm examination
lesson 9 Quasi-Newton method,  Conjugate gradient method
lesson 10 Conjugate gradient method (step version), Successive linear programming (SLP)
lesson 11 Penalty function method, SUMT method
lesson 12 Lagrange multiplier method
lesson 13 Inequality constraint problem
lesson 14 Krush-Kuhn-Tucker condition (KKT condition)
lesson15 Genetic Algorithm

Midterm, Finial examination are given

Text/Reference
Books,etc. Text

PC or AV used in
Class,etc. Text, blackboard and PC with projector.
Sometime Excel is used, so you have to bring your PC.

Suggestions on
Preparation and
Review Study hard

Requirements

Grading Method Examinations and homework

Practical Experience

Summary of Practical Experience and Class Contents based on it

Message

Other

Please fill in the class improvement questionnaire which is carried out on all classes.
Instructors will reflect on your feedback and utilize the information for improving their teaching.

Academic Year	2020Year	School/Graduate School	School of Engineering
Lecture Code	K5130010	Subject Classification	Specialized Education
Subject Name	数理最適化
Subject Name （Katakana）	スウリサイテキカ
Subject Name in English	Mathematical Optimization
Instructor	KITAMURA MITSURU
Instructor (Katakana)	キタムラ　ミツル
Campus	Higashi-Hiroshima	Semester/Term	2nd-Year, Second Semester, 4Term
Days, Periods, and Classrooms	(4T) Mon3-4,Weds1-2：ENG 106
Lesson Style	Lecture	Lesson Style 【More Details】	Lecture
Credits	2	Class Hours/Week		Language on Instruction	B : Japanese／English
Course Level	3 : Undergraduate High-Intermediate
Course Area（Area）	25 : Science and Technology
Course Area（Discipline）	10 : Integrated Engineering
Eligible Students	2nd year students
Keywords	Optimization
Special Subject for Teacher Education		Special Subject
Class Status within Educational Program
Criterion referenced Evaluation	Program of Mechanical Systems Engineering （Abilities and Skills）・Acquring basis of mechanical system engineering steadily and developing the applied skill. Program of Transportation Systems （Knowledge and Understanding）・The area of systems: Technical knowledge on systems, information and transportation systems relating to transportation equipment and coexistence with the environment （Abilities and Skills）・The area of systems: The ability to apply technical knowledge of systems, information and transportation systems to solve issues relating to the areas of transportation equipment and coexistence with the environment
Class Objectives /Class Outline	Optimization
Class Schedule	lesson 1 Guidance and Linear Programing lesson 2 Slack variables and Simplex method lesson 3 Dual problem lesson 4 Multi objective problem lesson 5 Nonlinear optimization problem, Taylor expansion equation and Numerical derivatives lesson 6 One variable search and Steepest descent method lesson 7 Newton method, Quasi-Newton method lesson 8 Midterm examination lesson 9 Quasi-Newton method, Conjugate gradient method lesson 10 Conjugate gradient method (step version), Successive linear programming (SLP) lesson 11 Penalty function method, SUMT method lesson 12 Lagrange multiplier method lesson 13 Inequality constraint problem lesson 14 Krush-Kuhn-Tucker condition (KKT condition) lesson15 Genetic Algorithm Midterm, Finial examination are given
Text/Reference Books,etc.	Text
PC or AV used in Class,etc.	Text, blackboard and PC with projector. Sometime Excel is used, so you have to bring your PC.
Suggestions on Preparation and Review	Study hard
Requirements
Grading Method	Examinations and homework
Practical Experience
Summary of Practical Experience and Class Contents based on it
Message
Other
Please fill in the class improvement questionnaire which is carried out on all classes. Instructors will reflect on your feedback and utilize the information for improving their teaching.

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