**Linear Algebra II & Tutorial 2b **

(G30 Program, Nagoya University, Spring 2021) ****

Please feel join the Facebook group for this course. (Not mandatory)

Due to the current situation it is not fully decided yet how we will conduct this course. But here is the current plan:

As in Linear Algebra I, there will be just one grade for both the lecture Linear Algebra II and the Math. Tutorial 2b. It will be based on the midterm exam, final exam and homework. Details will follow.

The following gives a tentative overview of the topics we will cover each week.

Week 01 (04/12-04/18): Recall Linear Algebra I & Vector spaces

Week 02 (04/19-04/25): Linear maps

Week 03 (04/26-05/02): The matrix of a linear map

Week 3.5 (05/03-05/09): Golden week: Just Tutorial (No lecture)

Week 04 (05/10-05/16): Determinants & Mathematical induction

Week 05 (05/17-05/23): Properties of the determinant I

Week 06 (05/24-05/30): Properties of the determinant II

Week 08 (06/07-06/13): Eigenvalues and eigenvectors I

Week 09 (06/14-06/20): Eigenvalues and eigenvectors II

Week 10 (06/21-06/27): Eigenvalues and eigenvectors III

Week 11 (06/28-07/04): Applications

Week 12 (07/05-07/11): Continuous dynamical systems

Week 13 (07/12-07/18): Linear differential equations I

Week 14 (07/19-07/25): Linear differential equations II

**We will use NUCT for the homework submission. Please contact me if you are not in the NUCT course "Linear Algebra II".**

The Zoom link for the first lecture & tutorial are available in NUCT and the Facebook group.The Zoom link for the first lecture & tutorial are available in NUCT and the Facebook group.

**Materials**- Overview notes (Ver. 2.1st May)
- Lecture notes (Zoom notes): Lecture 1, Lecture 3
- Tutorial notes: Tutorial 1, Tutorial 2, Tutorial 3
- Homework: HW1, HW2 (Deadline 23rd May)
- Extra material: Question session 1st May
- Recorded lecture & tutorial: Are available in NUCT and the Facebook group.

**Materials from last year (Content will be the same)**- Lecture notes: Lecture 1, Lecture 2, Lecture 3, Lecture 4, Lecture 5, Lecture 6, Lecture 7, Lecture 8, Lecture 9, Lecture 10, Lecture 11, Lecture 12, Lecture 13
- Lecture videos: Lecture 1-1 , Lecture 1-2, Lecture 2, Lecture 3, Lecture 4, Lecture 5, Lecture 6, Lecture 7, Lecture 8, Lecture 9, Lecture 10, Lecture 11, Lecture 12, Lecture 13, Lecture 14

**How, Where, When?**Due to the current situation it is not fully decided yet how we will conduct this course. But here is the current plan:

- The lectures are already recorded and available from last year (G30 Linear Algebra II). Instead of recording them again I decided to do more interactive lectures where we do more exercises together. I will ask the students to watch the video lecture from last year before the lectures, but I will also recall the definitions and theorems in the lecture.
**Lecture time:****Tuesday 2nd Period (10:30 - 12:00)**

First lecture: 13th April 2021. (Zoom. The meeting ID can be found in NUCT or the Facebook group) - The Tutorial will be
**held online**. We might change it later in the semester to face-to-face if possible.**Tutorial time:****Thursday 4th Period (14:45 - 15:30)**

First Tutorial: 15th April 2021 (Zoom. The meeting ID can be found in NUCT or the Facebook group)

**Grading & Homework submission****:**As in Linear Algebra I, there will be just one grade for both the lecture Linear Algebra II and the Math. Tutorial 2b. It will be based on the midterm exam, final exam and homework. Details will follow.

**Course schedule****:**The following gives a tentative overview of the topics we will cover each week.

Week 01 (04/12-04/18): Recall Linear Algebra I & Vector spaces

Week 02 (04/19-04/25): Linear maps

Week 03 (04/26-05/02): The matrix of a linear map

Week 3.5 (05/03-05/09): Golden week: Just Tutorial (No lecture)

Week 04 (05/10-05/16): Determinants & Mathematical induction

Week 05 (05/17-05/23): Properties of the determinant I

Week 06 (05/24-05/30): Properties of the determinant II

**Week 07 (05/31-06/06): Midterm exam: 1st June**Week 08 (06/07-06/13): Eigenvalues and eigenvectors I

Week 09 (06/14-06/20): Eigenvalues and eigenvectors II

Week 10 (06/21-06/27): Eigenvalues and eigenvectors III

Week 11 (06/28-07/04): Applications

Week 12 (07/05-07/11): Continuous dynamical systems

Week 13 (07/12-07/18): Linear differential equations I

Week 14 (07/19-07/25): Linear differential equations II

**Week 15 (07/26 - 08/01): Final Exam: 27th July**Last update: 6th May 2021