日本語

Course Code etc
Academic Year 2024
College College of Science
Course Code CA013
Theme・Subtitle
Class Format Face to face (all classes are face-to-face)
Class Format (Supplementary Items) 対面
Campus Lecture
Campus Ikebukuro
Semester Spring Semester
DayPeriod・Room Wed.3・4406
Credit 2
Course Number MAT2100
Language Japanese
Class Registration Method Automatic Registration
Grade (Year) Required 配当年次は開講学部のR Guideに掲載している科目表で確認してください。
prerequisite regulations
Acceptance of Other Colleges 履修登録システムの『他学部・他研究科履修不許可科目一覧』で確認してください。
course cancellation ×(履修中止不可/ Not eligible for cancellation)
Online Classes Subject to 60-Credit Upper Limit
Relationship with Degree Policy 各授業科目は、学部・研究科の定める学位授与方針(DP)や教育課程編成の方針(CP)に基づき、カリキュラム上に配置されています。詳細はカリキュラム・マップで確認することができます。
Notes
Text Code CA013

【Course Objectives】

To understand matrices and vector spaces from a general abstract point of view. We begin with learning basic concepts such as bases of vector spaces, linear independence, the dimension of a vector space and subspaces. After that, we will learn linear mappings, their matrix representations, and various related properties.

【Course Contents】

In the course "Linear Algebra 1", we learned vectors and matrices. In "Linear Algebra 2", we learn vector spaces and linear maps, which are abstract generalization of vectors and matrices. The main difference between these points of view is whether we fix a basis of a vector space or not. This abstraction is very useful, since in many problems, a good choice of a basis will make the calculation simpler and give us a clearer perspective. In this lecture, after giving the basics of vector spaces, we will deal with linear maps between vector spaces and their matrix representations. An important point is to understand how the matrix representations change as one chooses different bases of vector spaces.

※Please refer to Japanese Page for details including evaluations, textbooks and others.