This is the second half of the introductory lectures on linear algebra, which is heavily based on the first half.
Classes are organized online via ITC-LMS.
The schedule may change.
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.
The topics listed below will be covered in the course. The items 1-3 and their applications were treated in Mathematics II ① in A semester 2020, and 4-8 and their applications will be treated in Mathematics II ② in S semester 2021. The latter will be heavily based on the the former.