Course title
V13209001
Differential and Integral Calculus 2

 enomoto yuko Click to show questionnaire result at 2018
Course description
This is a course on calculus. Student will learn concepts of function of two or more variables.
Purpose of class
The purpose of this class is to understand the difference between function of one variable and function of several variables. Moreover, student will be able to compute partial derivatives and multiple integral.
Goals and objectives
  1. To understand the difference between function of one variable and function of several variables
  2. To be able to compute partial derivatives and to understand its application
  3. To be able to compute multiple integral and to understand its application
Language
Japanese
Class schedule

 Class schedule HW assignments (Including preparation and review of the class.) Amount of Time Required
1. Definition of function of several variables Review of Mathematics 1 200minutes
2. Limit of function of several variables Review of a previous lecture 200minutes
3. Continuity of function of several variables Review of a previous lecture 200minutes
4. Definition of partial derivatives Review of a previous lecture 200minutes
5. Higher-order partial derivatives Review of a previous lecture 200minutes
6. Differentials Review of a previous lecture 200minutes
7. Differentiation of composite functions Review of a previous lecture 200minutes
8. Taylor's theorem for several variables Review of a previous lecture 200minutes
9. Extreme value problem Review of a previous lecture 200minutes
10. Definition of multiple integral Review of a previous lecture 200minutes
11. Iterated integrals Review of a previous lecture 200minutes
12. Transformations of multiple integrals Review of a previous lecture 200minutes
13. Improper integral of multiple integrals 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. 12% 8% 20%
2. 23% 16% 39%
3. 25% 16% 41%
Total. 60% 40% -
Evaluation method and criteria
Examination and report
Textbooks and reference materials
Calculus to learn in an exercise, Morikita Publishing (Japanese)
Prerequisites
Mathematics 1
Office hours and How to contact professors for questions
  • Before or after the lecture
Regionally-oriented
Non-regionally-oriented course
Development of social and professional independence
  • Course that cultivates an ability for utilizing knowledge
Active-learning course
N/A
Course by professor with work experience
Work experience Work experience and relevance to the course content if applicable
N/A N/A
Education related SDGs:the Sustainable Development Goals
  • 4.QUALITY EDUCATION
Last modified : Sun Mar 21 15:30:18 JST 2021