Course title
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

Goals and objectives Course Outcomes
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..
Relationship between 'Goals and Objectives' and 'Course Outcomes'

Reports Total.
1. 25% 25%
2. 25% 25%
3. 25% 25%
4. 25% 25%
Total. 100% -
Class schedule
  1. Outline of the lecture: purpose of the lecture, lecture schedule, how to prepare reports, evaluation.
  2. Fundamental of numerical calculation software (1): basic calculation and result organization.
  3. Fundamental of numerical calculation software (2): matrix etc. calculation.
  4. Fundamental of numerical calculation software (3): analysis of transient phenomenon using block diagram.
  5. Gauss-Seidel Method: case for 2 variables, convergence condition.
  6. Newton-Raphson method: case for 1 variable, definition of gradient, convergence condition.
  7. Newton-Raphson method: case for multi-variables, Jacobi matrix, convergence condition.
  8. Application of numerical analysis for electrical engineering: solving circuit equation, calculation of complex number.
  9. Numerical integration of ordinal differential equation (1): Euler method, transient analysis of LRC circuit.
  10. Numerical integration of ordinal differential equation (2): stability analysis of quadratic system.
  11. Application of numerical integration for electrical engineering (1): electric field analysis by calculus of finite differences
  12. Application of numerical integration for electrical engineering (2): transient analysis of a distributed constant circuit
  13. Case study of numerical calculation simulator: examples, applications.
  14. Special class by visiting lecturer: application for electro-magnetic analysis.
Goals and objectives (Other Courses)
A:Fundamental Mechanical Engineering B:Advanced Mechanical Engineering C:Environment and Materials Engineering D:Chemistry and Biotechnology E:Electrical Engineering and Robotics G:Advanced Electronic Engineering F:Information and Communications Engineering L:Computer Science and Engineering H:Urban Infrastructure and Environment
Japanese(English accepted)
Evaluation method and criteria
Evaluation method and criteria HW assignments (Including preparation and review of the class.) Amount of Time Required
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. Confirm syllabus. 50分
- - 50分
Feedback on exams, assignments, etc.
ways of feedback specific contents about "Other"
Feedback in the class
Textbooks and reference materials
Text : Handout will be distributed.
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 :
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
Education related SDGs:the Sustainable Development Goals
Last modified : Fri Mar 01 04:31:33 JST 2024