Course title
E01221003
Applied Mathematics
Course description
In terms of technical calculation such as electrical circuit analysis, it may be impossible to obtain solution directly from algebraic or differential equations. Therefore, we have to employ computer-based numerical analysis. This subject offers how to use numerical calculation software, solving method of nonlinear equation, numerical integration method, and these applications for electrical calculations.
Purpose of class
*
Goals and objectives
1. Possible to conduct calculation using a numerical calculation software.
2. Possible to explain purpose and solving method of nonlinear equations.
3. Possible to explain purpose and solving method of differential equations.
4. Possible to apply these method to electrical calculation to obtain solutions..
Language
Japanese(English accepted)
Class schedule

Class schedule HW assignments (Including preparation and review of the class.) Amount of Time Required
1. Outline of the lecture: purpose of the lecture, lecture schedule, how to prepare reports, evaluation. Confirm syllabus. 50minutes
2. Fundamental of numerical calculation software (1): basic calculation and result organization. Read whole of the text. 200minutes
3. Fundamental of numerical calculation software (2): matrix etc. calculation. Understand corresponding description in the text for preparation of report. 200minutes
4. Fundamental of numerical calculation software (3): analysis of transient phenomenon using block diagram. Understand corresponding description in the text for preparation of report. 200minutes
5. Gauss-Seidel Method: case for 2 variables, convergence condition. Understand corresponding description in the text for preparation of report. 200minutes
6. Newton-Raphson method: case for 1 variable, definition of gradient, convergence condition. Understand corresponding description in the text for preparation of report. 200minutes
7. Newton-Raphson method: case for multi-variables, Jacobi matrix, convergence condition. Understand corresponding description in the text for preparation of report. 200minutes
8. Application of numerical analysis for electrical engineering: solving circuit equation, calculation of complex number. Understand corresponding description in the text for preparation of report. 200minutes
9. Numerical integration of ordinal differential equation (1): Euler method, transient analysis of LRC circuit. Understand corresponding description in the text for preparation of report. 200minutes
10. Numerical integration of ordinal differential equation (2): stability analysis of quadratic system. Understand corresponding description in the text for preparation of report. 200minutes
11. Application of numerical integration for electrical engineering (1): electric field analysis by calculus of finite differences Understand corresponding description in the text for preparation of report. 200minutes
12. Application of numerical integration for electrical engineering (2): transient analysis of a distributed constant circuit Understand corresponding description in the text for preparation of report. 200minutes
13. Case study of numerical calculation simulator: examples, applications. Understand corresponding description in the text for preparation of report. 200minutes
14. Special class by visiting lecturer: application for electro-magnetic analysis. Understand corresponding description in the text for preparation of report. 200minutes
Total. - - 2650minutes
Relationship between 'Goals and Objectives' and 'Course Outcomes'

Reports Total.
1. 25% 25%
2. 25% 25%
3. 25% 25%
4. 25% 25%
Total. 100% -
Evaluation method and criteria
Submitting reports relating to the targets is requested. After every lecture, you are subjected to prepare a report including similar topic to the lecture and program code. You have to submit at next lecture. Final evaluation is based on the average score of all reports. Satisfaction of 60% understadning of 'goals and objectives' is judged as pass level. Pass is given if it is greater than 60 points.
Textbooks and reference materials
Text : Handout will be distributed.
Prerequisites
You are expected to be capable of programming (coding) using one of any software.
Office hours and How to contact professors for questions
• After the lecture and whole day of Thursday.
Room: Toyosu campus 10-Q-32, Phone : +81-3-5859-8206, e-mail : gfujita@sic.shibaura-it.ac.jp
Regionally-oriented
Non-regionally-oriented course
Development of social and professional independence
• Course that cultivates an ability for utilizing knowledge
Active-learning course
More than one class is interactive
Course by professor with work experience
Work experience Work experience and relevance to the course content if applicable
N/A N/A
Education related SDGs:the Sustainable Development Goals
• 9.INDUSTRY, INNOVATION AND INFRASTRUCTURE
• 12.RESPONSIBLE CONSUMPTION & PRODUCTION
Feedback on exams, assignments, etc.