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最終更新日:2026年10月16日

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数学Ⅱ①(PEAK)

Introductory course in linear algebra
Phenomena in natural and social sciences are usually complicated, and seldom described by linear equations. However, Linear Algebra is still powerful and effective in describing essential parts of the phenomena by linear approximation. Thus Linear Algebra has vast applications.

Linear Algebra will further provide basics for considering linear spaces that appear in quantum mechanics or Fourier analysis. The ideas in Linear Algebra are broadly utilized in sciences and engineering, including agriculture, medicine, and economy, as well as in mathematics and physics.

Although Linear Algebra is simple and clear in theory, one needs to be familiar with abstract concepts in mathematics to properly deal with it in practice. It is important for students to keep on deepening their understanding by working with exercises and related problems.
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時間割/共通科目コード
コース名
教員
学期
時限
50618
CAS-PF1721L3
数学Ⅱ①(PEAK)
松尾 厚
A1 A2
水曜3限
マイリストに追加
マイリストから削除
講義使用言語
英語
単位
2
実務経験のある教員による授業科目
NO
他学部履修
不可
開講所属
教養学部(前期課程)
授業計画
The topics listed below will be covered in the course. The items 1-5 and their applications will be treated in Mathematics II ① in 2026 A semester and 6-10 in Mathematics II ② in 2027 S semester. The latter will be heavily based on the the former. 1. Sets and maps 2. Geometry of plane and space 3. Matrices and linear maps 4. Systems of linear equations 5. Bases of linear spaces 6. Orthonormal bases 7. Signature of quadratic forms 8. Determinants of square matrices 9. Eigenvalues and eigenvectors 10. Jordan forms of square matrices
授業の方法
Lectures by blackboard and projector.
成績評価方法
Mainly by final examination, while the scores of mid-term exam, quizzes, homework notes, and attendance may possibly be taken into account.
履修上の注意
TBA