Henrik Bachmann
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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.
    ​
​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
Address:
Math Building, Room 457
Graduate School of Mathematics, Nagoya University
Chikusa-ku, Nagoya, 464-8602
Japan

Email: henrik.bachmann (at) math.nagoya-u.ac.jp
​Tel :  +81-52-789-2428 ​
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