Course title
330336003
Vector Analysis

 SUZUKI Tatsuo
Middle-level Diploma Policy (mDP)
Program / Major mDP Goals
IoT Course DP-4a・3 専門分野と他分野を関連付ける素養
主軸となる分野の専門知識を他分野と関連付ける分野横断型の知識と行動力を修得し、社会で活用できる。
Software Course DP-4b・3 専門分野と他分野を関連付ける素養
主軸となる分野の専門知識を他分野と関連付ける分野横断型の知識と行動力を修得し、社会で活用できる。
Media Course DP-4c・3 専門分野と他分野を関連付ける素養
主軸となる分野の専門知識を他分野と関連付ける分野横断型の知識と行動力を修得し、社会で活用できる。
Data Science Course DP-4d・3 専門分野と他分野を関連付ける素養
主軸となる分野の専門知識を他分野と関連付ける分野横断型の知識と行動力を修得し、社会で活用できる。
Mechatronics Course DP-4・3 専門分野と他分野を関連付ける素養
主軸となる分野の専門知識を他分野と関連付ける分野横断型の知識と行動力を修得し、社会で活用できる。
Architecture and Architectural Engineering Course DP-4a・3 専門分野と他分野を関連付ける素養
主軸となる分野の専門知識を他分野と関連付ける分野横断型の知識と行動力を修得し、社会で活用できる。
Environmental Systems and Urban Planning Course DP-4b・3 専門分野と他分野を関連付ける素養
主軸となる分野の専門知識を他分野と関連付ける分野横断型の知識と行動力を修得し、社会で活用できる。
Bioscience Course DP-4a・3 専門分野と他分野を関連付ける素養
主軸となる分野の専門知識を他分野と関連付ける分野横断型の知識と行動力を修得し、社会で活用できる。
Biomedical Engineering Course DP-4b・3 専門分野と他分野を関連付ける素養
主軸となる分野の専門知識を他分野と関連付ける分野横断型の知識と行動力を修得し、社会で活用できる。
Sports Engineering Course DP-4c・3 専門分野と他分野を関連付ける素養
主軸となる分野の専門知識を他分野と関連付ける分野横断型の知識と行動力を修得し、社会で活用できる。
Mathematical Sciences Course DP-4・2 キャリアを見据えた高度な専門知識
現象の背後にある数理構造やデータのパターンを理論的に解析し、社会や自然科学、工学における複雑な課題に対して数理的視点から解決戦略を提案できる。
Purpose of class
The purpose of this class is to be able to compute the objects related to scalar and vector fields, to be able to compute line integrals and surface integrals and to understand Green’s theorem, Stokes’ theorem and Gauss’ Theorem.
Course description
This is a course on vector analysis. Students will learn concepts in vector analysis including line integrals, surface integrals, Green’s theorem, Stokes’ theorem and Gauss’Theorem.
Goals and objectives
  1. To be able to display level sets of a scalar field and streamlines of a vector field
  2. To be able to compute gradient, divergence and rotation
  3. To be able to compute line integrals and surface integrals in Stokes’ theorem and Gauss’ Theorem
Relationship between 'Goals and Objectives' and 'Course Outcomes'

 Assignment 1 Midterm exam Final assignment Total.
1. 20% 0% 20%
2. 0% 30% 30%
3. 0% 10% 40% 50%
Total. 20% 40% 40% -
Evaluation method and criteria
Assignment 1 (20%), Midterm exam (40%), Final assignment (40%)
Language
Japanese
Class schedule

 Class schedule HW assignments (Including preparation and review of the class.) Amount of Time Required
1. Vectors in space and cross products Review of inner product and determinant of 3x3 matrix 150minutes
2. Vector functions, surfaces Review of partial differentiation 200minutes
3. Frenet-Serre’s formula Review of derivation of vector functions 200minutes
4. Scalar/Vector fields, assignment 1 To look up scalar/vector fields 200minutes
5. Gradient, divergence Review of scalar/vector fields 200minutes
6. Rotation Review of gradient, divergence 200minutes
7. Line integrals To look up line integrals 200minutes
8. Area of surfaces Review of double integrals 200minutes
9. Midterm exam and comments Review of the above 200minutes
10. Surface integrals Review of area of surfaces 200minutes
11. Green’s theorem Review of computation of iterated integrals 200minutes
12. Stokes theorem Review of Green’s theorem 200minutes
13. Gauss’ divergence theorem Review of divergence, triple integrals 200minutes
14. Review and final assignment Review of the above 200minutes
Total. - - 2750minutes
Feedback on exams, assignments, etc.
ways of feedback specific contents about "Other"
Feedback in the class
Textbooks and reference materials
Will be announced in the first lecture.
Prerequisites
Office hours and How to contact professors for questions
  • Tuesday 12:40-13:10
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 applicable
N/A N/A
Education related SDGs:the Sustainable Development Goals
  • 4.QUALITY EDUCATION
Last modified : Mon Mar 23 04:07:57 JST 2026