HOME 学部前期課程 全学自由研究ゼミナール（PEAK）Mathematics II②(PEAK)　(Introductory course in linear algebra, continued)

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全学自由研究ゼミナール（PEAK）Mathematics II②(PEAK)　(Introductory course in linear algebra, continued)

Introductory course in linear algebra, continued
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 exercise and related problems.

コース名

30737
CAS-TC1200S1

S1 S2

2

NO

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 2023 A semester and 6-10 in Mathematics II ② in 2024 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

Lecture by blackboard and projector.

Mainly by final examination, while the score of mid-term exam, quizzes, homework notes, and attendance may possibly be taken into account.

この科目は、PEAK理科生向けの英語による線型代数学の講義「数学II(PEAK)」に参加して、英語で線型代数を学ぶというものです。本科目では授業への参加を必須とし，期末試験の結果に加え，平常点を重視して成績を付けます。 　通年の授業内容の前半部分である数学II①(PEAK)は昨年度Aセメスターに開講され、後半部分である数学II②(PEAK)が今学期に行われます。後半部分の授業は前半部分の授業内容を前提として行いますので、後半部分である本科目を履修する場合には、Aセメスターに開講される前半部分を先に履修することを薦めます。