Course title
V14306002
Analysis 1

 SUZUKI Tatsuo Click to show questionnaire result at 2019
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.
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.
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
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, assignment 1 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 To look up scalar/vector fields 200minutes
5. Gradient, divergence Review of scalar/vector fields 200minutes
6. Rotation Review of gradient, divergence 200minutes
7. Review and assignment 2 Review of the above 200minutes
8. Line integrals To look up line integrals 200minutes
9. Area of surfaces Review of double integrals 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 exam or assignment 3 Review of the above 200minutes
Total. - - 2750minutes
Relationship between 'Goals and Objectives' and 'Course Outcomes'

 Assignment 1 Assignment 2 Final exam or Assignment 3 Total.
1. 20% 0% 20%
2. 0% 20% 20%
3. 0% 0% 60% 60%
Total. 20% 20% 60% -
Evaluation method and criteria
Assignment 1 (20%), assignment 2 (20%), final exam (or assignment 3) (60%)
Textbooks and reference materials
Will be announced in the first lecture.
Prerequisites
Calculus and linear algebra
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 : Fri Mar 18 23:31:18 JST 2022