Course title
Q14302002
Analysis 1

 ENOMOTO Yuko Click to show questionnaire result at 2018
Course description
Lecture on "vector analysis". We learn about the properties of a three-dimensional vector, the differentiation of vector functions, the analysis of curves and curved surfaces, the differential operation of fields, etc. will be described. Next, we introduce the concept of integral of vector functions, that is, line integral and surface integral, and explain the integral theorem.
Purpose of class
Vector analysis is an indispensable tool for describing mathematical and physical equations.
In this class, you will understand the meaning of scalar fields and vector fields, and acquire differential operations on fields.
Furthermore, you will be able to understand line integrals and surface integrals and perform specific calculations.
Goals and objectives
  1. To be able to calculate the inner and outer products of vectors.
  2. To be able to calculate differentiation operations (gradient, divergence, rotation) for the field.
  3. To be able to calculate line integrals and surface integrals used in Stokes' theorem and Gauss's divergence theorem.
Language
Japanese
Class schedule

 Class schedule HW assignments (Including preparation and review of the class.) Amount of Time Required
1. Vector algebra, inner and outer products Reviews of scalar multiplication, sum or difference calculation and inner product. 150minutes
2. Vector triple product Review of the calculation of the inner and outer products. Review of the cubic determinant. 200minutes
3. Differentiation of vector function Review of derivative of one-variable function 200minutes
4. Integral of vector function Review of vector function differentiation 200minutes
5. Analysis of curve Review of integral of vector function 200minutes
6. normal vector and curved surface area Review of multiple integrals and outer products 200minutes
7. Derivative operation of the field (gradient, divergence) Review of calculation for normal vector and curved surface area. 200minutes
8. Derivative operation of the field (rotation) Review of calculation for gradient and divergence 200minutes
9. Line integral Review of calculation for integral of one-variable function. Review of calculation for rotation 200minutes
10. Surface integral Review of calculation for curved surface area. 200minutes
11. Green's theorem Review of iterated integrals 200minutes
12. Stokes' theorem Review of Green's theorem 200minutes
13. Gauss's divergence theorem Review of divergence and triple integrals 200minutes
14. Examination Review of all lecture 200minutes
Total. - - 2750minutes
Relationship between 'Goals and Objectives' and 'Course Outcomes'

 レポートと演習 期末試験 Total.
1. 15% 5% 20%
2. 15% 25% 40%
3. 10% 30% 40%
Total. 40% 60% -
Evaluation method and criteria
Examination and reports
Feedback on exams, assignments, etc.
ways of feedback specific contents about "Other"
Feedback in the class
Textbooks and reference materials
Introduced in the first lecture
Prerequisites
Review of the calculation for cubic determinants, partial derivatives, and multiple integrals.
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
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
Education related SDGs:the Sustainable Development Goals
  • 4.QUALITY EDUCATION
Last modified : Sat Sep 09 06:16:35 JST 2023