- 担当教員
- BREZINA JAN
- 使用教室
- 水1-2(H115)
- 単位数
- 講義：2 演習：0 実験：0
- 講義コード
- 1181
- シラバス更新日
- 2015年10月14日
- 講義資料更新日
- 2015年11月4日
- 学期
- 後期 / 推奨学期：2
講義概要
Linear Algebra II B is the continuation of Linear Algebra I. It focuses on explanation of rigorous theory behind the calculations presented in Linear Algebra I.
講義の目的
To develop and strengthen the understanding of what was explained in Linear Algebra I course.
講義計画
1. Vector space, subspace, linear transformation, linear combination
2. Linear independence of vectors, basis, dimension
3. Inner product, norm, Schwartz inequality
4. Orthonormal basis, Gram-Schmidt orthonormalization
5. Unitary matrices, orthogonal matrices
6. Existence of a basis, transformation of basis
7. Matrix representation of linear mappings
8. Eigenvalue, eigenvector, eigenspace, characteristic function
9. Diagonalization of square matrices
教科書・参考書等
You will have English handouts.
Recommend to read "Linear Algebra: A Modern Introduction" by David Poole, 3rd or newer edition. Not required to buy.
関連科目・履修の条件等
You are required to register together with the course "Exercise in Linear Algebra II (Course no. 1381)".
You can't only take "Linear Algebra II B (Course no. 1181)".
成績評価
Based on the results of tests, mid-term exam and final exam. Same as in Linear Algebra I. Details to be explained during first class.
担当教員の一言
The course will contain the same amount of mathematical knowledge as Japanese courses, but with the advantage of learning mathematical English.
連絡先（メール、電話番号）
Email : brezina.j.aa＠m.titech.ac.jp
Office : Room 219, Main Bldg., Ookayama
オフィスアワー
After an email contact. Details to be explained during first class.
