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​

• Overview notes (version 1, 4th October 2022)​
• Course information, Overview slides 
• 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 (see Lecture 11 2020 ), Lecture 13, Lecture 14
• ​Tutorial notes: Tutorial 1, Tutorial 2, Tutorial 3 (Solution), Tutorial 4 (Solution), Tutorial 5 (Solution), Tutorial 6 (Solution), Tutorial 7 (Solution), Tutorial 9, Tutorial 11 (Solution), Tutorial 12 (Solution), Tutorial 13, Tutorial 14 (Solution)
• Homework: Homework 1, Homework 2 (Solution), Homework 3 (Solution), Homework 4 (Solution), Homework 5 (Solution), Homework 6, Homework 7
• Midterm preparation: Midterm 2019 (Sol), Tutorial 6 2019 (Sol), Midterm 2020 (Sol),  Midterm 2021  (Sol), Midterm question session 16th November
• Additional material:  Gram-Schmidt example in GeoGebra
• Midterm (Solution)
• Final preparation: Final 2019 (Sol), Final 2020 (Sol), Final 2021 (Sol), Questions session (1st Feb. Zoom notes)
• Final 2022 (Solution) 
  
  

​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​
  ​

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