Course title
401098001
Differential Equations

 yamazawa hiroshi Click to show questionnaire result at 2016

hirose sampei Click to show questionnaire result at 2018

nakagawa takahiro
Course description
A differential equation is an equation composed of unknown functions and their derivatives, and it appears very well as a mathematical model in various fields including engineering. Further, by using the differential equation obtained as a mathematical model, it is possible to understand phenomena and perform simulations.
In this class, students learn how to solve ordinary differential equations, that is, differential equation with one independent variable.
Purpose of class
The purpose of this class is to calculate the explicit solution of ordinary differential equations.
Goals and objectives
  1. To be able to solve first order differential equations.
  2. To be able to solve second-order homogeneous linear differential equations.
  3. To be able to solve second-order non-homogeneous linear differential equations.
  4. To be able to solve system of differential equations.
  5. To be able to explain application of differential equations.
Language
Japanese
Class schedule

 Class schedule HW assignments (Including preparation and review of the class.) Amount of Time Required
1. First order differential equations: Separation of variables 1 Read through the textbook p.1-p.12 before class. Solve exercises after class. 190minutes
2. First order differential equations: Separation of variables 2 Read through the textbook p.13-p.14 before class. Solve exercises after class. 190minutes
3. First-order non-homogeneous linear differential equations Read through the textbook p.28-p.30 before class. Solve exercises after class. 190minutes
4. First-order nonlinear differential equation Read through the textbook p.35-p.36 before class. Solve exercises after class. 190minutes
5. Second-order homogeneous linear differential equations: Fundamental solutions Read through the textbook p.56-p.62 before class. Solve exercises after class. 190minutes
6. Second-order homogeneous linear differential equations: Reduction of order Read through the textbook p.68-p.72 before class. Solve exercises after class. 190minutes
7. Midterm examination and its explanation Preparation of midterm examination. 190minutes
8. Second-order non-homogeneous linear differential equations: Method of undetermined coefficients Read through the textbook p.78-p.81 before class. Solve exercises after class. 190minutes
9. Second-order non-homogeneous linear differential equations: Variation of parameters Read through the textbook p.82-p.83 before class. Solve exercises after class. 190minutes
10. System of differential equations: Reduction to an equation with one unknown function Read through the textbook p.89-p.93 before class. Solve exercises after class. 190minutes
11. System of differential equations: Using matrix diagonalization 1 Read through the textbook p.94-p.96 before class. Solve exercises after class. 190minutes
12. System of differential equations: Using matrix diagonalization 2 Read through the handouts before class. Review after class. 190minutes
13. Application of differential equations Read through the handouts before class. Review after class. 190minutes
14. Final examination and their explanations Preparation of final examination. 190minutes
Total. - - 2660minutes
Relationship between 'Goals and Objectives' and 'Course Outcomes'

 Midterm examination Final examination Reports and little examinations Total.
1. 20% 13% 33%
2. 10% 7% 17%
3. 10% 7% 17%
4. 15% 10% 25%
5. 5% 3% 8%
Total. 30% 30% 40% -
Evaluation method and criteria
Midterm examination(30%), Final examination(30%), Reports and little examinations(40%)
Textbooks and reference materials
Textbook: 物理数学コース常微分方程式、渋谷仙吉、内田伏一、裳華房
Prerequisites
Review Differential and Integral Calculus 1 and Linear Algebra 1
Office hours and How to contact professors for questions
  • 30 minutes after class
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 該当しない
Education related SDGs:the Sustainable Development Goals
  • 9.INDUSTRY, INNOVATION AND INFRASTRUCTURE
Last modified : Tue Sep 21 04:04:49 JST 2021