Course title
V0325500,Z3325400
Theory of Functional Equations 2

 enomoto yuko Click to show questionnaire result at 2017
Course description
Students will learn about partial differential equations describing the phenomenon such as sound and heat.
Purpose of class
The purpose of this class is to learn a variety of solving method about partial differential equation describing the phenomenon and to understand the phenomenon by the solution.
Goals and objectives
  1. To be able to explain the physical meaning of partial differential equations
  2. To be able to classify of second order partial differential equations and to explain properties of elliptic equations, parabolic equations and hyperbolic equations
  3. To solve the partial differential equation (for example, using Fourier series)
Language
Japanese
Class schedule

 Class schedule HW assignments (Including preparation and review of the class.) Amount of Time Required
1. Definition of partial differential equation, and its example review of "Theory of Functional equations 1" 200minutes
2. Classification of second order partial differential equations review of a previous lecture 200minutes
3. Wave equation 1: derivation, d'Alembert's formula review of a previous lecture 200minutes
4. Wave equation 2: domain of dependence review of a previous lecture 200minutes
5. Wave equation 3: solution by Fourier series review of a previous lecture 200minutes
6. Wave equation 4: Poisson's formula review of a previous lecture 200minutes
7. Examination review of a previous lecture 200minutes
8. Heat equation 1: derivation review of a previous lecture 200minutes
9. Heat equation 2: fundamental solution review of a previous lecture 200minutes
10. Heat equation 3: self-similar solution review of a previous lecture 200minutes
11. Heat equation 4: 3 dimensional heat equation review of a previous lecture 200minutes
12. Laplace equation, Poisson equation 1: fundamental solution review of a previous lecture 200minutes
13. Laplace equation, Poisson equation 2: uniqueness of solution to boundary value problem review of a previous lecture 200minutes
14. Examination review of a previous lecture 200minutes
Total. - - 2800minutes
Relationship between 'Goals and Objectives' and 'Course Outcomes'

 Examination Report Total.
1. 15% 0% 15%
2. 15% 10% 25%
3. 50% 10% 60%
Total. 80% 20% -
Evaluation method and criteria
Examinations and reports
Textbooks and reference materials
Introduce a textbook by the first lecture
Prerequisites
Calculus
Office hours and How to contact professors for questions
  • after the lecture
Relation to the environment
Environment-related course (10%)
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
Last modified : Wed Oct 17 07:33:05 JST 2018