Linear Algebra II & Tutorial 2b
(G30 Program, Nagoya University, Spring 2023)
- Please make sure that you are in the TACT group for this course. If you can not enter this group please contact me, but you should be added automatically if you are registered in the NU Portal.
- If you want you can join the Discord Server for this class where you can ask questions to the TAs or me.
- Overviewnotes (v.1 9th April 2023)
- Course information
- Linear algebra roadmap (created by Hannah Patricia Halim)
- 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
- Tutorial notes: Tutorial 1, Tutorial 2, Tutorial 3, Tutorial 4, Tutorial 5, Tutorial 6, Tutorial 7, Tutorial 8, Tutorial 9, Tutorial 10, Tutorial 11, Tutorial 12, Tutorial 13
- Homework: Homework 1, Homework 2, Homework 3, Homework 4, Homework 5, Homework 6
- Midterm preparation: Midterm Preparation 2021 (no solutions), Midterm 2021 (Solution), Midterm 2022 (Solution), Zoom question session notes (26th May)
- Midterm 2023 (Solution)
- Extra material: Google Colab Notebook Lecture 11, Lecture 11 slides, Colab Notebook Tutorial 12 (dynamical system)
- Course review: Lecture 14 2020 Video (Review of the course), Review sheet used in the video
- Final exams of previous years: Final 2020 (Solution), Final 2021 (Solution), Final 2022 (Solution)
- Final 2023 (Solution)
- 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
Place & Time
- Lecture: Monday 3rd Period (13:00 - 14:30) @ Lecture room A28
Lecture dates: 04/17, 04/24, 05/01, 05/08, 05/15, 05/22, 05/29 (Midterm exam), 06/05, 06/12, 06/19, 06/26, 07/03, 07/10, 07/24, 07/31 (Final exam) - Tutorial: Thursday 4th Period (14:45 - 15:30) @ Room 407 in Science Building A
Tutorial dates: 04/13, 04/20, 04/27, 05/11, 05/18, 05/25, 06/01, 06/15, 06/22, 06/29, 07/06, 07/13, 07/20, 07/27
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 (30%), final exam (40%) and homework (30%).
Course schedule (Tentative):
The following gives a tentative overview of the topics we will cover each week.
Week 01 (04/10-04/16): Recall Linear Algebra I & Overview
Week 02 (04/17-04/23): Vector spaces
Week 03 (04/24-04/30): Linear maps
Week 3.5 (05/01-05/07): Golden week (We have a lecture on 05/01 but NO tutorial on 05/02)
Week 04 (05/08-05/14): The matrix of a linear map
Week 05 (05/15-05/21): Determinants & Mathematical induction
Week 06 (05/22-05/28): Properties of the determinant I
Week 07 (05/29-06/04): Midterm exam: 29th May
Week 08 (06/05-06/11): Properties of the determinant II (No tutorial on 06/08 due to Medai-sai)
Week 09 (06/12-06/18): Eigenvalues and eigenvectors I
Week 10 (06/19-06/25): Eigenvalues and eigenvectors II
Week 11 (06/26-07/02): Eigenvalues and eigenvectors III
Week 12 (07/03-07/09): Spectral Theorem
Week 13 (07/10-07/16): Continuous dynamical systems
Week 14 (07/17-07/23): Linear differential equations I (No lecture on 07/17)
Week 15 (07/24 - 07/30): Linear differential equations II
Week 16 (07/3 - 08/06): Final Exam: 31th July
Last update: 1st August 2023.