Linear Algebra I  & Math. Tutorial 1b 
(G30 Program, Nagoya University, Fall 2022) 

• This is the page for the course Linear Algebra I and the Math. Tutorial 1b in the G30 Program in Fall 2022.
• Make sure that you join the NUCT course for this class.
• If you have any questions on this course, please feel free to contact me at any time via email. 

​Materials​

• Contact me if you want the materials.
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​Additional materials from previous years

• Short videos: Image of a non-linear map (notes), When is a linear map surjective/injective (notes) 
• Lecture notes (Fall 2020): 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
• Videos (Fall 2020): 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​
• Some Japanese Linear Algebra words​
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Grading & Homework submission:
See Course information.

Course schedule: 
Lecture:

• Time: Friday 3rd period (13:00 - 14:30).
• Place: C23 (ILAS Main building)
  
  

Tutorial:

• Time: Tuesday first half of 3rd period (13:00 -13:45).
  From 13:45 - 14:30, there will be Tutorial 1a (Calculus I). 
• Room: A408 (Science Building A) 
  
  

Midterm panic session: 16th November 2022, 20:45 Online in Zoom (Meeting link in NUCT)

The following gives a tentative overview of the topics we will cover each week. 
Week 01 (10/03-10/09): ​Introduction & Linear systems 
Week 02 (10/10-10/16): Matrices and vectors 
Week 03 (10/17-10/24): Sets and functions
Week 04 (10/24-10/30): Linear maps
Week 05 (10/31-11/06): Linear maps in geometry
Week 06 (11/07-11/13): Matrix multiplication 
Week 07 (11/14-11/20): Midterm Exam (18th November 2022, 10:30) 
Week 08 (11/21-11/27): The inverse of a linear map
Week 09 (11/28-12/04): Subspaces, Kernel & Image 
Week 10 (12/04-12/11): Subspaces, Kernel & Image II
Week 11 (12/11-12/18): Linear independence & Bases I 
Week 12 (12/19-12/25): Bases II & Dimension 
Winter Vacation (12/28-01/07) 🎅🎄☃️ (There will be no lecture on 30th December 🎅)
Week 13 (01/09-01/15): Coordinates & Orthogonal bases 
Week 14 (01/16-01/22): Orthogonal bases & The Gram-Schmidt algorithm
Week 15 (01/23-01/29): Orthogonal projection, Least square approximation 
Week 16 (01/30-02/06): Final Exam (3rd February 2023, 10:30) 

Last update: 7th February 2023