# Mathematics II PEAK 2017 – 2018 (2)

## Atsushi Matsuo

Continued from Mathematics II PEAK 2017 – 2018 (1)
Previous Year Mathematics II PEAK 2016 – 2017 (2)   Mathematics II PEAK 2015 – 2016 (2)
NOTICES   CLASS SCHEDULE   COURSE INFORMATION   LECTURE PLAN   TUTORIAL   PAST NOTICES
• NOTICES

• 2017/06/21   Correction.
• Lecture 19.
For the mathematics and physics use of notations, the right explanation is as in the handout.
• Summary 19.4.4.
Q(x)/||x|| should read Q(x)/||x||2
• CLASS SCHEDULE

The schedule may change.

1. 2018/04/11 (Wed)  Lecture 10. Signature of quadratic forms.
2. 2018/04/18 (Wed)  Lecture 11. Determinant of square matrices.
3. 2018/04/25 (Wed)  Lecture 12. Properties of determinant.
4. 2018/05/02 (Wed)  Lecture 13. Complex numbers
5. 2018/05/09 (Wed)  Lecture 14. Decomposition theorem
6. 2018/05/16 (Wed)  Lecture 15. Eigenvalues of square matrices
7. 2018/05/23 (Wed)  Lecture 16. Generalized eigenspaces
8. 2018/06/06 (Wed)  Lecture 17. Jordan canonical forms
9. 2018/06/13 (Wed)  Lecture 18. Exponential of square matrices
10. 2018/06/20 (Wed)  Lecture 19. Diagonalization of Hermitian matrices
11. 2018/06/27 (Wed)  Trial Examination
12. 2018/07/04 (Wed)  Lecture 20. Quadratic forms revisited
13. 2018/07/11 (Wed)  No Lecture.
14. 2018/07/**  Exam for S semester.
15. 2016/10/**  Make-up Exam for S semester.
• LECTURE PLAN (tentative)

The following topics will be covered by the course.

1. Determinants and regularity of square matrices
2. Laplace expansion of determinants
3. Signature of quadratic forms
4. Complex numbers and fundamental theorem of algebra
5. Characteristic and minimal polynomials of square matrices
6. Eigenspaces and generalized eigenspaces
7. Linear differential equations with constant coefficients
8. Jordan canonical forms
9. Exponentials of square matrices
10. Diagonalization of Hermitian forms

• TUTORIAL

Tutorial by assistant professors will take place as shown below for April and May, 2018.

Dates:  Open on the dates marked by pink in the tables below.
 (The room is closed on the cyan dates.)
Time:  5th period for Mondays and Wednesdays, and 11:15-13:00 for Fridays.
Place:  KIBER 109  (Room 109 of  駒場国際教育研究棟)

April
1
2345678
9101112131415
16171819202122
23242526272829
30

May
123456
78910111213
14151617181920
21222324252627
28293031