Course title
V0220100,Z32200002
Geometry 1

 KAMEKO Masaki Click to show questionnaire result at 2019
Course description
The first half of this course concerns the geometry of curves and surfaces in three-dimensional space. The second half of this course concerns 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 explain and to compute the curvature of a plane curve.
  2. A successful student will be able to explain and to compute the curvature of a surfaces.
  3. A successful student will be able to explain the terminology related to a topological space, such as open sets, Hausdorff, compact, connected.
Relationship between 'Goals and Objectives' and 'Course Outcomes'

 Midterm examination Finial examination Quiz Total.
1. 10% 0% 12% 22%
2. 20% 0% 8% 28%
3. 30% 20% 50%
Total. 30% 30% 40% -
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. Report A its review Handouts 200minutes
8. Metric space Handouts 200minutes
9. Continuous map Handouts 200minutes
10. Topological space Handouts 200minutes
11. Subspace, product, quotient Handouts 200minutes
12. Hausdorff, compact Handouts 200minutes
13. Connected Handouts 200minutes
14. Report B and its review Handouts 200minutes
Total. - - 2800minutes
Evaluation method and criteria
mid-term examination 30%, final examination 30 %, quiz 40 %.
Feedback on exams, assignments, etc.
ways of feedback specific contents about "Other"
Feedback in the class
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, and set theory.
Office hours and How to contact professors for questions
  • Office hours and contact information are announced in the first class.
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 applicable
N/A N/A
Education related SDGs:the Sustainable Development Goals
  • 4.QUALITY EDUCATION
  • 9.INDUSTRY, INNOVATION AND INFRASTRUCTURE
  • 17.PARTNERSHIPS FOR THE GOALS
Last modified : Sun Mar 09 04:08:44 JST 2025