Course title
N1440700,P1440300,Q1440100,R1440900,V1405500
Numerical Analysis

 ishiwata tetsuya Click to show questionnaire result at 2018

zhai guisheng Click to show questionnaire result at 2018

fukuda akiko Click to show questionnaire result at 2018

aihara kensuke Click to show questionnaire result at 2018
Course description
Numerical simulation is very important tool for science, engineering and so on. In this lecture, you study not only just numerical method but also mathematical backgrounds of the methods. The main topics are nonlinear equation(s), system of linear equations and one of the following topics: ordinary differential equation(s), numerical integration and
data interpolation/fitting.
Moreover, you practice the programing of each methods.
Purpose of class
Understand the numerical methods and their mathematical backgrounds and practice the programing of each methods.
Goals and objectives
  1. Expression of numbers in computer and Errors.
  2. Numerical methods in several topics
  3. Mathematical background of the numerical methods.
Language
Japanese
Class schedule

 Class schedule HW assignments (Including preparation and review of the class.) Amount of Time Required
1. Introduction to numerical analysis. Number and Error in computer. Floating point number. read the textbook or the document on number and error and floating point number 190minutes
2. Nonlinear equation (bisectin mothod) read the textbook or the document on bisection method 190minutes
3. Nonlinear equation (Newton's method) read the textbook or the document on Newton's method 190minutes
4. Nonlinear equation: Mathematical background (Fixed Point Theory)
System of nonlinear equations 		read the previous notebook and review calculus 190minutes
5. Programing 1: nonlinear equation(s) read the previous notebook and review programing 190minutes
6. System of linear equations: review of Linear algebra read the textbook or the document on LA 191minutes
7. System of linear equations: Direct method (Gaussian elimination) read the textbook or the document on the direct method 190minutes
8. System of linear equations: Iterative method (Jacobi method/Gauss-Seidel method) read the textbook or the document on the iterative method 190minutes
9. System of linear equations: Mathematical background read the textbook or the document on fixed point theory 190minutes
10. Programing 2: System of linear equations read the previous notebook and review programing 190minutes
11. Advanced topics 1(Ordinary Differential Equation, Numerical integration, data interpolation/fitting)
Mathematical background 		read the textbook or the document on selected topics 190minutes
12. Advanced topics 2(Ordinary Differential Equation, Numerical integration, data interpolation/fitting)
Numerical method 		read the textbook or the document on selected topics 190minutes
13. Advanced topics 3(Ordinary Differential Equation, Numerical integration, data interpolation/fitting)
Programing 3 		review the programing 190minutes
14. More advanced topics and exam read the all previous notebooksand review programing 190minutes
Total. - - 2661minutes
Relationship between 'Goals and Objectives' and 'Course Outcomes'

 exam report and/or PC practice Total.
1. 20% 12% 32%
2. 20% 12% 32%
3. 20% 16% 36%
Total. 60% 40% -
Evaluation method and criteria
Exam and reports
Textbooks and reference materials
Introduce books and documents in the lecture
Prerequisites
Calculus, Linear Algebra, Programing
Office hours and How to contact professors for questions
  • Fukuda: Fri. 12:30--13:00
Relation to the environment
Non-environment-related course
Regionally-oriented
Non-regionally-oriented course
Development of social and professional independence
  • Course that cultivates an ability for utilizing knowledge
  • Course that cultivates a basic self-management skills
  • Course that cultivates a basic problem-solving skills
Active-learning course
More than one class is interactive
Last modified : Wed Oct 17 07:18:29 JST 2018