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- Academic unit or major
- Undergraduate major in Mathematics
- Instructor(s)
- Mizumoto Shin-Ichiro
- Class Format
- Lecture
- Media-enhanced courses
- Day/Period(Room No.)
- Fri3-4(H116)
- Group
- -
- Course number
- MTH.A211
- Credits
- 1
- Academic year
- 2019
- Offered quarter
- 1Q
- Syllabus updated
- 2019/3/18
- Lecture notes updated
- -
- Language used
- Japanese
- Access Index
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Course description and aims
This course covers the concept and examples of vector space in linear algebra. Exercise problems will be presented within the lectures to cement understanding. This course is followed by "Advanced Linear Algebra II".
Prior experience with linear algebra using specific matrices is assumed, and this course discusses in detail the basics of vector space and linear mapping. These activities are important, also serving as practical exercises for students to acquire basic methods in learning other fields of advanced mathematics.
Student learning outcomes
The important notions are as follows:
vector space, linear span, linear map, isomorphism.
Keywords
linear space, linear map, linear span, isomorphism
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 accompanied by discussion sessions
Course schedule/Required learning
| Course schedule | Required learning | |
|---|---|---|
| Class 1 | vector space | Details will be provided during class session |
| Class 2 | linearly independency | Details will be provided during class session |
| Class 3 | subspace | Details will be provided during class session |
| Class 4 | linear span | Details will be provided during class session |
| Class 5 | basis | Details will be provided during class session |
| Class 6 | properties of dimension | Details will be provided during class session |
| Class 7 | sum and direct sum of linear spaces, linear map | Details will be provided during class session |
| Class 8 | evaluation of progress | Details will be provided during class session |
Textbook(s)
None required
Reference books, course materials, etc.
Saito, Masahiko: Introduction to Linear Algebra, University of Tokyo Press
Assessment criteria and methods
To be evaluated based on exercises in discussion sessions and the final exam as a whole. Details will be announced during the course.
Related courses
- LAS.M102 ： Linear Algebra I / Recitation
- LAS.M106 ： Linear Algebra II
- MTH.A212 ： Advanced Linear Algebra II
Prerequisites (i.e., required knowledge, skills, courses, etc.)
Students are expected to have passed Linear Algebra I / Recitation and Linear Algebra II.
