Linear Algebra I & Math. Tutorial 1b
(G30 Program, Nagoya University, Fall 2024)
If you are not in the TACT group, please let me know.
Materials
- Course information
- Lecture notes (Version 3rd October)
- 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, Lecture 12, Lecture 13
- Homework: Homework 1, Homework 2, Homework 3, Homework 4, Homework 5, Homework 6, Homework 7
- Tutorial: Tutorial 1 (Solution), Tutorial 2 (Solution), Tutorial 3, Tutorial 4 (Solution), Tutorial 5 (Solution), Tutorial 6, Tutorial 8, Tutorial 9 (Solution), Tutorial 10, Tutorial 11, Tutorial 12, Tutorial 13, Tutorial 14, Tutorial 15 (Solution)
- Midterm preparation: Midterm 2019 (Sol), Tutorial 6 2019, Midterm 2020 (Sol), Midterm 2021 (Sol), Midterm 2022 (Sol), Midterm 2023 (Sol), Midterms 20-23 in one pdf
- Midterm 2024 (Solution)
- Final preparation: Final 2019 (Sol), Final 2020 (Sol), Final 2021 (Sol), Final 2022 (Sol), Final 2023 (Sol)
- Final panic session notes (29th Jan)
- Final 2024 (Solution)
- Short videos: Image of a non-linear map (notes), When is a linear map surjective/injective (notes)
- Latex Homework Template (use this if you want to submit homework done in latex)
- 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:
The grading will be based on Homework (30%), Midterm exam (30%) and Final exam (40%).
Course schedule:
Lecture:
- Time: Friday 3rd period (13:00 - 14:30).
- Place: C15
- Time: Tuesday first half of 3rd period (13:00 -13:45).
From 13:45 - 14:30, there will be Tutorial 1a (Calculus I). - Room: A407
Course Overview:
The following gives an overview of the topics we will cover each week.
Week 01 (09/30-10/06): Introduction & Linear systems
Week 02 (10/07-10/13): Matrices and vectors
Week 03 (10/14-10/20): Sets and functions
Week 04 (10/21-10/27): Linear maps
Week 05 (10/28-11/03): Linear maps in geometry
Week 06 (11/04-11/10): Matrix multiplication (No lecture on November 8th. Video-on-demand instead)
Week 07 (11/11-11/17): The inverse of a linear map
Week 08 (11/18-11/24): Midterm Exam (22nd November 2024, 13:00)
Week 09 (11/25-12/01): Subspaces, Kernel & Image
Week 10 (12/02-12/08): Subspaces, Kernel & Image II, Linear independence I
Week 11 (12/09-12/15): Linear independence II & Bases I
Week 12 (12/16-12/22): Bases II & Dimension, 🎄 20th December: Christmath challenge 2024 in the lecture 🎄
Week 13 (12/23-12/29): 🎅 Tutorial on 24th but no lecture on Friday 27th 🎅
☃️ Winter Vacation (12/28-01/08) ☃️
Week 14 (01/06-01/12): Coordinates
Week 15 (01/13-01/19): Orthonormal bases & The Gram-Schmidt algorithm
Week 16 (01/20-01/26): Orthogonal projection, Least square approximation
Week 17 (01/27-02/06): Final Exam (31st January 2025, 13:00)
Last update: 1st February 2025