Course title
V0220100,Z32200002
Geometry 1

 kameko masaki Click to show questionnaire result at 2019
Course description
The first half of this course is about the geometry of curves and surfaces in three-dimensional space. The second half of this course is about topological spaces.
Purpose of class
This course is intended to be a precursor to the geometry and topology of manifolds.
Goals and objectives
  1. A successful student will be able to compute the curvature of a plane curve.
  2. A successful student will be able to compute the curvature of a surfaces.
  3. A successful student will be able to prove a proposition on a topological space.
Language
Japanese
Class schedule

 Class schedule HW assignments (Including preparation and review of the class.) Amount of Time Required
1. Parameterization of a plane curve Handouts 200minutes
2. Curvature of a plane curve Handouts 200minutes
3. Computation of the curvature of a plane curve Handouts 200minutes
4. Parameterization of a surface Handouts 200minutes
5. Fundamental forms Handouts 200minutes
6. Curvature of a surface Handouts 200minutes
7. Midterm examination and its review Handouts 200minutes
8. Metric space Handouts 200minutes
9. Continuous map Handouts 200minutes
10. Topological space Handouts 200minutes
11. Compact, Hausdorff Handouts 200minutes
12. Connected Handouts 200minutes
13. Review on point setl topology Handouts 200minutes
14. Final examination and its review Handouts 200minutes
Total. - - 2800minutes
Relationship between 'Goals and Objectives' and 'Course Outcomes'

 Midterm examination Final examination Total.
1. 20% 20% 40%
2. 20% 20% 40%
3. 20% 20%
Total. 40% 60% -
Evaluation method and criteria
Usually, midterm examination 40% and final examination 60% as shown in "Relationship between 'Goals and Objectives' and 'Course Outcomes'" above. Additional points might be added if quizzes and/or reports are assigned.
Textbooks and reference materials
「曲線と曲面の微分幾何」（小林 昭七 著, 裳華房）
「集合と位相」（内田伏一著, 裳華房）
Prerequisites
Basic knowledge of calculus and linear algebra
Office hours and How to contact professors for questions
  • Friday 9:00--10:40 during the first semester of the academic year 2020.
Regionally-oriented
Non-regionally-oriented course
Development of social and professional independence
  • Course that cultivates an ability for utilizing knowledge
  • Course that cultivates a basic self-management skills
  • Course that cultivates a basic problem-solving skills
  • Course that cultivates a basic interpersonal skills
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 applicatable
N/A N/A
Education related SDGs:the Sustainable Development Goals
  • 4.QUALITY EDUCATION
Last modified : Sat Mar 21 13:03:08 JST 2020