Linear Algebra II & Tutorial 2b
(G30 Program, Nagoya University, Spring 2025)
Materials
Videos from Spring 2020
Place & Time
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 00 (04/07-04/13): Just tutorial on 10th April (Course overview)
Week 01 (04/14-04/20): Recall Linear Algebra I & Overview
Week 02 (04/21-04/27): Vector spaces
Week 03 (04/28-05/04): Linear maps
Week 3.5 (05/05-05/11): Golden week (No Lecture on 5th May)
Week 04 (05/12-05/18): The matrix of a linear map
Week 05 (05/19-05/25): Determinants & Mathematical induction
Week 06 (05/26-06/01): Properties of the determinant
Week 07 (06/02-06/08): Midterm exam: 2nd June 2025 (No tutorial on 06/05 due to Medai-sai)
Week 08 (06/09-06/15): Eigenvalues and eigenvectors I
Week 09 (06/16-06/22): Eigenvalues and eigenvectors II
Week 10 (06/23-06/29): Maybe no lecture on Monday 23rd June
Week 11 (06/30-07/06): Eigenvalues and eigenvectors III
Week 12 (07/07-07/13): Spectral Theorem & Applications
Week 13 (07/14-07/20): Continuous dynamical systems (Maybe Lecture on 14th June will be on demand)
Week 14 (07/21-07/27): Linear differential equations I
Week 15 (07/28 - 08/03): Linear differential equations II
Week 16 (08/04 - 08/10): Final Exam: 4th August 2025
Last update: 12th May 2025.
- Lecture notes (version from 6th April 2025)
- Course information (Lecture 1)
- Homework : Homework 1, Homework 2
- Handwritten Lecture notes: Lecture 1, Lecture 2, Lecture 3, Lecture 4
- Tutorial: Tutorial 1, Tutorial 2, Tutorial 3
Videos from Spring 2020
- 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) @ 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)
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 00 (04/07-04/13): Just tutorial on 10th April (Course overview)
Week 01 (04/14-04/20): Recall Linear Algebra I & Overview
Week 02 (04/21-04/27): Vector spaces
Week 03 (04/28-05/04): Linear maps
Week 3.5 (05/05-05/11): Golden week (No Lecture on 5th May)
Week 04 (05/12-05/18): The matrix of a linear map
Week 05 (05/19-05/25): Determinants & Mathematical induction
Week 06 (05/26-06/01): Properties of the determinant
Week 07 (06/02-06/08): Midterm exam: 2nd June 2025 (No tutorial on 06/05 due to Medai-sai)
Week 08 (06/09-06/15): Eigenvalues and eigenvectors I
Week 09 (06/16-06/22): Eigenvalues and eigenvectors II
Week 10 (06/23-06/29): Maybe no lecture on Monday 23rd June
Week 11 (06/30-07/06): Eigenvalues and eigenvectors III
Week 12 (07/07-07/13): Spectral Theorem & Applications
Week 13 (07/14-07/20): Continuous dynamical systems (Maybe Lecture on 14th June will be on demand)
Week 14 (07/21-07/27): Linear differential equations I
Week 15 (07/28 - 08/03): Linear differential equations II
Week 16 (08/04 - 08/10): Final Exam: 4th August 2025
Last update: 12th May 2025.