| Academic Year |
2024Year |
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) Thur5-8：ENG 115 |
| Lesson Style |
Lecture |
Lesson Style
(More Details) |
|
| |
| Credits |
2.0 |
Class Hours/Week |
|
Language of Instruction |
J
:
Japanese |
| 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 |
SDG_09, Optimization |
| Special Subject for Teacher Education |
|
Special Subject |
|
Class Status
within Educational
Program
(Applicable only to targeted subjects for undergraduate students) | |
|---|
Criterion referenced
Evaluation
(Applicable only to targeted subjects for undergraduate students) | 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 Taylor expansion equation
lesson 4 Numerical derivatives
lesson 5 One variable search and
lesson 6 Steepest descent method, Newton method
lesson 7 Newton method
lesson 8 Quasi-Newton method
lesson 9 Conjugate gradient method
lesson 10 Penalty function method, SUMT method
lesson 11 Lagrange multiplier method
lesson 12 Inequality constraint problem
lesson 13 Krush-Kuhn-Tucker condition (KKT condition)
lesson14 Sequential quadratic programming
lesson15 About Final project
Finial examination is given |
Text/Reference
Books,etc. |
Textbook |
PC or AV used in
Class,etc. |
|
| (More Details) |
Textbook and PC.
Excel is used. |
| Learning techniques to be incorporated |
|
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. |