This is the second half of the introductory lectures on linear algebra, which is heavily based on the first half.
Will be announced on the course page in ITC-LMS.
Classes are organized online via ITC-LMS. See UTAS and ITC-LMS for more details.
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 1-34and their applications will be treated in Mathematics II ¡ in A semester 2021, and 5-9 in Mathematics II ¢ in S semester 2022. The latter will be heavily based on the the former.