**Linear Algebra II & Tutorial 2b **

(G30 Program, Nagoya University, Spring 2020)

**(This page will be continuously updated during the course. Please check for updates regularly.)**

**Important:**

Due to the Corona situation, this course will be done online. All materials will appear on this page here.

**If you plan to join this lecture & tutorial and you want to get updates by mail, please write me an****email****. ****The NUCT Course of Linear Algebra II & Tutorial 2b will be combined here.**(You will probably added to this course automatically if you are registered for the course. If you are not registered or if you are not a student of Nagoya University, please feel free to write me an email if you also want to join the course)

**Please (if you can/want) join the Facebook group of this course for better communication.****Also feel free to join the discord chat if you have any questions.**

To be prepared for the course you should recall the content of Linear Algebra I.

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 mostly based on the points achieved in the homework. If possible, I might include Quizzes in some way.

If an exam is possible (not decided yet by the university), there will be one at the end of the semester. The percentage for each part will be decided later. (Just try your best at the homework!)

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

Week 01 (04/20-04/26): Vector spaces (Notes: Lecture 1, Videos: Lecture 1-1 , Lecture 1-2, Homework: HW1)

Week 02 (04/27-05/01): Linear maps (Notes: Lecture 2, Video: Lecture 2, Homework: HW2)

Golden week

Week 03 (05/11-05/17): The matrix of a linear map (Notes: Lecture 3, Video: Lecture 3, Homework: HW3)

Week 04 (05/18-05/24): Determinants & Mathematical induction (Notes: Lecture 4, Video: Lecture 4, Homework: HW4)

Week 05 (05/25-05/31): Properties of the determinant I (Notes: Lecture 5, Video: Lecture 5, Homework: HW5)

Week 06 (06/01-06/07): Properties of the determinant II (Notes: Lecture 6, Video: Lecture 6, Homework: Recall Week 1-6)

Week 07 (06/08-06/14): Eigenvalues and eigenvectors I (Notes: Lecture 7, Video: Lecture 7, Homework: HW6)

Week 08 (06/15-06/21): Eigenvalues and eigenvectors II (Notes: Lecture 8, Video: Lecture 8, Homework: HW7)

Week 09 (06/22-06/28): Eigenvalues and eigenvectors III (Notes: Lecture 9, Video: Lecture 9, Homework: HW8)

Week 10 (06/29-07/05): Applications (Notes: Lecture 10, Video: Lecture 10, Homework: Play around in python)

Week 11 (07/06-07/12): Continuous dynamical systems (Notes: Lecture 11, Video: Lecture 11, Homework: Recall Week 7-10)

Week 12 (07/13-07/19): Linear differential equations I

Week 13 (07/20-07/26): Linear differential equations II

Week 14 (07/27-08/02): Review

The tutorial will be done via Zoom meetings each week. The meetings will be every Thursday at 14:45 and meeting IDs are posted in the Facebook group and at the NUCT course.

**Materials**- Lecture overview (ver. 11, 12th July)
- 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 video: 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
- Homework: HW1 (Sol), HW2 (Sol), HW3 (Sol), HW4 (Sol), HW5 (Sol), HW6 (Sol), HW7 (Sol), HW8 (Deadline: 12th July)
- Tutorial notes: Tutorial 1, Tutorial 2, Tutorial 3, Tutorial 4, Tutorial 5, Tutorial 6, Tutorial 7 (Quiz), Tutorial 8, Tutorial 9, Tutorial 10, Tutorial 11, Tutorial 12

**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 mostly based on the points achieved in the homework. If possible, I might include Quizzes in some way.

If an exam is possible (not decided yet by the university), there will be one at the end of the semester. The percentage for each part will be decided later. (Just try your best at the homework!)

- Please submit your homework at NUCT as one pdf file in the Assignment menu.

Here is an explanation of how to do so: How use Assignments in NUCT. __If you are not able__to submit your homework at NUCT, it is ok to submit it by email together with an explanation why NUCT is not possible for you.- Your solution can be either handwritten (tablet or scanned using a scanner or scanner app) or written in LaTeX (feel free to contact me if you want to learn it).
- Please name your file "FirstnameFamilyname_LA2_HWXX.pdf", where XX runs from 01 to 14, to indicate the homework number.

(e.g. if your name is Albert Einstein and you submit Homework 3 you name the file "AlbertEinstein_LA2_HW03.pdf")

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

Week 01 (04/20-04/26): Vector spaces (Notes: Lecture 1, Videos: Lecture 1-1 , Lecture 1-2, Homework: HW1)

Week 02 (04/27-05/01): Linear maps (Notes: Lecture 2, Video: Lecture 2, Homework: HW2)

Golden week

Week 03 (05/11-05/17): The matrix of a linear map (Notes: Lecture 3, Video: Lecture 3, Homework: HW3)

Week 04 (05/18-05/24): Determinants & Mathematical induction (Notes: Lecture 4, Video: Lecture 4, Homework: HW4)

Week 05 (05/25-05/31): Properties of the determinant I (Notes: Lecture 5, Video: Lecture 5, Homework: HW5)

Week 06 (06/01-06/07): Properties of the determinant II (Notes: Lecture 6, Video: Lecture 6, Homework: Recall Week 1-6)

Week 07 (06/08-06/14): Eigenvalues and eigenvectors I (Notes: Lecture 7, Video: Lecture 7, Homework: HW6)

Week 08 (06/15-06/21): Eigenvalues and eigenvectors II (Notes: Lecture 8, Video: Lecture 8, Homework: HW7)

Week 09 (06/22-06/28): Eigenvalues and eigenvectors III (Notes: Lecture 9, Video: Lecture 9, Homework: HW8)

Week 10 (06/29-07/05): Applications (Notes: Lecture 10, Video: Lecture 10, Homework: Play around in python)

Week 11 (07/06-07/12): Continuous dynamical systems (Notes: Lecture 11, Video: Lecture 11, Homework: Recall Week 7-10)

Week 12 (07/13-07/19): Linear differential equations I

Week 13 (07/20-07/26): Linear differential equations II

Week 14 (07/27-08/02): Review

**Final Week/Exam (08/03-08/09)**: Final exam via Zoom (Date not decided)**Tutorial schedule:**The tutorial will be done via Zoom meetings each week. The meetings will be every Thursday at 14:45 and meeting IDs are posted in the Facebook group and at the NUCT course.

Last update: 12th July 2020.