▶Japanese
Post to SNS
- Home
- > School of Science
- > Mathematics
- > Lecture on Advanced Science in English (Mathematics 6)
- School of Science
-
School of Engineering
- Group 2
- Group 3
- Group 4
- Group 5
- Group 6
- Metallurgical Engineering
- Organic and Polymeric Materials
- Inorganic Materials
- Chemical Engineering Course
- Chemical Engineering Course(Chemical Engineering)
- Applied Chemistry Course(Chemical Engineering)
- Polymer Chemistry
- Mechanical Engineering and Science
- Mechanical and Intelligent Systems Engineering
- Mechano-Aerospace Engineering
- International Development Engineering
- Control and Systems Engineering
- Industrial and Systems Engineering
- Electrical and Electronic Engineering
- Computer Science
- Civil Engineering
- Architecture and Building Engineering
- Social Engineering
- Common Cource of Engineering
- School of Bioscience and Biotechnology
- Common Course of Undergraduate School
-
Graduate School of Science and Engineering
- Mathematics
- Physics(Particle- Nuclear- and Astro-Physics)
- Physics(Condensed Matter Physics)
- Chemistry
- Earth and Planetary Sciences
- Chemistry and Materials Science
- Metallurgy and Ceramics Science
- Organic and Polymeric Materials
- Applied Chemistry
- Chemical Engineering
- Common Course of Mechanical Engineering
- Mechanical Sciences and Engineering
- Mechanical and Control Engineering
- Mechanical and Aerospace Engineering
- Common Course of Electronic Engineering
- Electrical and Electronic Engineering
- Physical Electronics
- Communications and Integrated Systems
- Communications and Computer Engineering
- Civil Engineering
- Architecture and Building Engineering
- International Development Engineering
- Nuclear Engineering
- Graduate School of Bioscience and Biotechnology
-
Interdisciplinary Graduate School of Science and Engineering
- Built Environment
- Energy Sciences
- Computational Intelligence and Systems Science
- Electronic Chemistry
- Materials Science and Engineering
- Innovative and Engineered Materials
- Environmental Chemistry and Engineering
- Environmental Science and Technology
- Mechano-Micro Engineering
- Information Processing
- Electronics and Applied Physics
- Graduate School of Information Science and Engineering
- Graduate School of Decision Science and Technology
- Graduate School of Innovation Management
- Common Course of Graduate School
- Program for Leading Graduate Schools
- Academic unit or major
- Mathematics
- Instructor(s)
- -
- Class Format
- Lecture
- Media-enhanced courses
- Day/Period(Room No.)
- -
- Group
- -
- Course number
- ZUA.E349
- Credits
- 1
- Academic year
- 2020
- Offered quarter
- 3Q
- Syllabus updated
- 2020/3/24
- Lecture notes updated
- -
- Language used
- English
- Access Index
-
Course description and aims
Understand recent topics on the hyperbolic geometries on surfaces.
Student learning outcomes
To understand hyperbolic geometry on surfaces. The main focus will be on
Markoff numbers, geometry of small surfaces and dynamics.
Keywords
Markoff numbers, geometry of small surfaces and dynamics.
Competencies that will be developed
| ✔ Specialist skills | Intercultural skills | Communication skills | Critical thinking skills | Practical and/or problem-solving skills |
Class flow
standard lecture course. The language of this lecture is English.
Course schedule/Required learning
| Course schedule | Required learning | |
|---|---|---|
| Class 1 | Markoff numbers, the character variety, hyperbolic geometry | Details will be provided during each class session |
| Class 2 | Counting simple geodesics | |
| Class 3 | Non orientable surfaces | |
| Class 4 | The 3 holed sphere and related orbifolds | |
| Class 5 | Identities - Bowditch, Tan, Hines. |
Textbook(s)
Details will be provided during each class session
Reference books, course materials, etc.
Details will be provided during each class session
Assessment criteria and methods
Assignments
Related courses
- MTH.B301 ： Geometry I
- MTH.B302 ： Geometry II
Prerequisites (i.e., required knowledge, skills, courses, etc.)
No prerequisites.
