Math 4242 Applied Linear algebra
This is the webpage for Math 4242 summer 2024.
Syllabus
Click here for the syllabus.
Textbook
The primary textbook is ''Applied Linear Algebra'' by Olver and Shakiban. Click here for additional resources (including solutions to exercises) of the textbook.
We will also use Axler's ''Linear Algebra Done Right'' and Schilling, Nachtergaele and Lankham's ''Linear algebra'' for certain topics.
Notes
Click here for notes from the class. This is not a 'real' lecture notes, but rather a collection of definitions and theorems to be used as reference. This will be updated periodically as we progress.Schedule
We will cover chapter 1,2,3,4,7,8 of Olver-Shakiban textbook, and additional topics.
| # | Topics | Reading | Remarks |
|---|---|---|---|
| 6.3 | OS 1.1 -- 1.3 | NA | |
| 6.4 | OS 1.4 -- 1.6 | OS 1.1--1.5 | |
| 6.5 | OS 1.8 -- 1.9 | OS 1.6--1.9 | |
| 6.6 | OS 2.1-2.2, sums and direct sums | OS 2.1-2.2 | |
| 6.7 | OS 2.1--2.3 | No in-person Class | |
| 6.10 | OS 2.3 | OS 2.4 | Quiz 1 (Solution) |
| 6.11 | OS 2.4, Axler Ch 3 | OS 2.5 | |
| 6.12 | Axler Ch 3 cont. | OS 2.5 | |
| 6.13 | Axler Ch 3 cont. | OS 3.1 | Quiz 2 (Solution) |
| 6.14 | Axler Ch 3 | OS 3.2 | |
| 6.17 | Review | -- | |
| 6.18 | Quotient and dual vector spaces | Quiz 3 (Solution) | |
| 6.19 | -- | -- | No Class |
| 6.20 | OS 3.1-3.2 | ||
| 6.21 | OS 3.3 | No Homework This week. | |
| 6.24 | OS 3.4, 4.1 | OS 3.4 | |
| 6.25 | OS 4.1 | OS 4.1 | |
| 6.26 | Review | No Class | |
| 6.27 | Exam 1 (Solution) | Practice problems. (with solution) | |
| 6.28 | Class on Zoom | ||
| 7.1 | Exam Problems | Quiz 4 (solution) | |
| 7.2 | OS 8.2-8.3 | ||
| 7.3 | OS 8.3 | Quiz 5 (solution) | |
| 7.4 | No Class | ||
| 7.5 | No Class | ||
| 7.8 | OS 8.3 | ||
| 7.9 | OS 8.3 | Quiz 6 (solution) | |
| 7.10 | OS 8.4 | ||
| 7.11 | OS 8.5 | Quiz 7 (solution) | |
| 7.12 | OS 8.6 | ||
| 7.15 | OS 8.6 | OS 8.7 | |
| 7.16 | OS 8.7 | OS 8.7 | Quiz 8 (solution) |
| 7.17 | OS 8.7 | ||
| 7.18 | Graph Theory | Quiz 9 (solution) | |
| 7.19 | |||
| 7.22 | |||
| 7.23 | |||
| 7.24 | |||
| 7.25 |
Homework
Homework assignments will be posted here. Submissions are due on GradeScope.
- Homework 1. Due June 9th 11:59 pm.
1.1.2, 1.2.31, 1.2.32, 1.3.12, 1.3.13, 1.5,20, 1.6.30, 1.9.21.
Optional (do not submit) 1.2.29, 1.2.30, 1.3.11
Solution. - Homework 2. Due June 16th 11:59 pm. Solutions: here and here.
- Homework 3. Due June 23rd 11:59 pm. Solutions: here.
- Homework 4. Due July 7th 11:59 pm. 3.2.7, 3.4.2, 3.4.27, 3.4.33, 3.6.37, 8.2.12, 8.2.18, 8.2.32
- Homework 5. Due July 14th 11:59 pm. 8.2.2(a), 8.2.3, 8.2.11, 8.3.2 (adef), 8.3.7, 8.3.11, 8.3.21, 8.4.3(ac), 8.4.12
- Homework 6. Due July 21st 11:59 pm. 8.3.16, 8.3.21, 8.5.6, 8.5.32, 8.6.6, 8.6.15, 8.7.2(a--d), 8.7.11
- Textbook Solutions
- More HW solutions.
Important Dates
- Exam 1: June 27th Thursday
- Exam 2: July 25th Thursday
© Wenze Zhang. All rights reserved.
The views and opinions expressed in this page are strictly those of the page author. The contents of this page have not been reviewed or approved by the University of Minnesota.