Linear Algebra II & Tutorial 2b
(G30 Program, Nagoya University, Spring 2026)
Materials
Place & Time
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 & quizzes (30%).
Course schedule (Tentative):
The following gives a tentative overview of the topics we will cover each week.
Week 00 (04/06-04/12): - No Lecture & Tutorial yet -
Week 01 (04/13-04/19): Recall Linear Algebra I & Overview & Vector spaces
Week 02 (04/20-04/26): Linear maps
Week 03 (04/27-05/03): The matrix of a linear map
Week 3.5 (05/04-05/10): Golden week (No Lecture on 4th May)
Week 04 (05/11-05/17): Determinants & Mathematical induction
Week 05 (05/18-05/24): Properties of the determinants I
Week 06 (05/25-05/31): Properties of the determinants II
Week 07 (06/01-06/07): Midterm exam: 1st June 2026
Week 08 (06/08-06/14): Eigenvalues and eigenvectors (Remote lecture, No tutorial on 06/11 due to Medai-sai)
Week 09 (06/15-06/21): Eigenvalues and eigenvectors I
Week 10 (06/22-06/28): Eigenvalues and eigenvectors II
Week 11 (06/29-07/05): Eigenvalues and eigenvectors III
Week 12 (07/06-07/12): Spectral Theorem & Applications
Week 13 (07/13-07/19): Continuous dynamical systems
Week 14 (07/20-07/26): Linear differential equations I
Week 15 (07/27 - 08/02): Linear differential equations II
Week 16 (08/03 - 08/10): Final Exam: 3rd August 2026
Last update: 6th July 2026
- Lecture notes (V22, 3rd October 2025)
- Homework: Homework 1, Homework 2, Homework 3, Homework 4, Homework 5
- Handwritten lecture notes: Lecture 1, Lecture 2, Lecture 3, Lecture 4, Lecture 5, Lecture 6, Lecture 7, Lecture 8, Lecture 9, Lecture 10
- Lecture 11 slides, Lecture 11 Google Colab Notebook
- Tutorial: Tutorial 1&2, Tutorial 4, Tutorial 5, Tutorial 6, Tutorial 7, Tutorial 8, Tutorial 9, Tutorial 10
- Midterm preparation: Midterm 2022 (Solution), Midterm 2023 (Solution), Midterm 2024 (Solution), Midterm 2025 (Solution)
- Midterm 2026 + Solutions
Place & Time
- Lecture: Monday 3rd Period (13:00 - 14:30) @ Room 309 (Math building)
- Tutorial: Thursday (second half of) 4th Period (15:30 - 16:15) @ Room A407 (Science Building A)
(Before, from 14:45, there will be the Tutorial for Calculus)
- 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
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 & quizzes (30%).
Course schedule (Tentative):
The following gives a tentative overview of the topics we will cover each week.
Week 00 (04/06-04/12): - No Lecture & Tutorial yet -
Week 01 (04/13-04/19): Recall Linear Algebra I & Overview & Vector spaces
Week 02 (04/20-04/26): Linear maps
Week 03 (04/27-05/03): The matrix of a linear map
Week 3.5 (05/04-05/10): Golden week (No Lecture on 4th May)
Week 04 (05/11-05/17): Determinants & Mathematical induction
Week 05 (05/18-05/24): Properties of the determinants I
Week 06 (05/25-05/31): Properties of the determinants II
Week 07 (06/01-06/07): Midterm exam: 1st June 2026
Week 08 (06/08-06/14): Eigenvalues and eigenvectors (Remote lecture, No tutorial on 06/11 due to Medai-sai)
Week 09 (06/15-06/21): Eigenvalues and eigenvectors I
Week 10 (06/22-06/28): Eigenvalues and eigenvectors II
Week 11 (06/29-07/05): Eigenvalues and eigenvectors III
Week 12 (07/06-07/12): Spectral Theorem & Applications
Week 13 (07/13-07/19): Continuous dynamical systems
Week 14 (07/20-07/26): Linear differential equations I
Week 15 (07/27 - 08/02): Linear differential equations II
Week 16 (08/03 - 08/10): Final Exam: 3rd August 2026
Last update: 6th July 2026