Course title
V03260002
Theory of Functional Equations

 takeuchi shingo
Course description
In the first half, you learn solutions and properties of variable coefficient linear ordinary differential equations based on the solution of various ordinary differential equations learned in "differential equation" (the second semester of the first year) and "Calculus with Differential Equations" (the first semester of the second year). In the second half, you will learn the solution method and properties of basic partial differential equation (heat, wave, Laplace).
Purpose of class
Differential equations are indispensable for understanding the various fields of science and engineering. It is a matter of course to understand the nature of the linear differential equation, but to aim at making a foundation for acquiring various subsequent subjects, reviewing differential integral and linear algebra through that learning.
Goals and objectives
  1. To understand the structure of solutions of linear ordinary differential equations.
  2. To understand properties of basic partial differential equations.
  3. To understand the relation between ordinary differential equations and partial differential equations.
Language
Japanese
Class schedule

 Class schedule HW assignments (Including preparation and review of the class.) Amount of Time Required
1. Linear ordinary differential equations Review "Differential Equations" in advance. 190minutes
2. Method of reduction of order Review the previous session in advance. 190minutes
3. Variation of constant Review the previous session in advance. 190minutes
4. Method of series: regular point Review the previous session in advance.。 190minutes
5. Method of series: singular point Review the previous session in advance. 190minutes
6. Method of matrix Review the previous session in advance. 190minutes
7. Mid-term exam Review Sessions 1-6 in advance. 190minutes
8. Solution of the heat equation Check out "partial derivative" in Calculus in advance. 190minutes
9. Property of the heat equation Review the previous session in advance. 190minutes
10. Solution of the wave equation Review the previous session in advance. 190minutes
11. Property of the wave equation Review the previous session in advance. 190minutes
12. Solution of the Laplace equation Review the previous session in advance. 190minutes
13. Property of the Laplace equation Review the previous session in advance. 190minutes
14. Final exam Review Sessions 8-13 in advance. 190minutes
Total. - - 2660minutes
Relationship between 'Goals and Objectives' and 'Course Outcomes'

 中間試験 期末試験 Total.
1. 50% 50%
2. 40% 40%
3. 10% 10%
Total. 50% 50% -
Evaluation method and criteria
Mid-term exam and Final exam.
Textbooks and reference materials
Textbook for the 1st year students (Nagasawa et al. "Rikogaku no tame no bibunhouteisiki", Baifukan)
Prerequisites
"Differential Equations" for the 1st year students.
Office hours and How to contact professors for questions
  • Lunchtime on every Tuesday.
Relation to the environment
Non-environment-related course
Regionally-oriented
Non-regionally-oriented course
Development of social and professional independence
  • Non-social and professional independence development course
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 applicatable
N/A 該当しない
Last modified : Fri Oct 18 04:02:21 JST 2019