TA:
Zhou Fang, fazhou () utexas.edu
Office hours via zoom: Tuesdays 2:00pm – 3:00pm and Wednesdays 12:30pm – 1:30pm.
Meeting times:
Tuesdays and Thursdays, 9:30am - 11:00am. Lectures will be delivered live via zoom during the
regular class time. The lectures will be recorded, and made available for students to view
afterwards. At times, the live lectures may be replaced by a prerecorded lecture posted in
advance, followed by a discussion / problem solving section via zoom.
Text book:
Elementary Linear Algebra by Stephen Andrilli and David Hecker, 5th edition.
Website:
http://users.oden.utexas.edu/~pgm/Teaching/2021_M341/
Piazza:
Link.
Syllabus:
Pdf.
Description:
This course covers a variety of topics within linear algebra and matrix theory.
It is also intended to help develop skills at constructing and writing mathematical proofs.
Specific topics to be covered include vectors and matrices, systems of
linear equations and Gaussian elimination, eigenvalues and eigenvectors,
determinants, vector spaces, linear transformations, and orthogonality.
Examination:
The syllabus provides the definitive statement of grading policies.
In brief, the grade will be based on the following components:
Homework logistics:
Homeworks will be assigned most weeks, and will be submitted through Canvas.
The preferred format is to upload your work as a single PDF.
For best legibility, please type your work, or write it by hand and then scan using a flatbed scanner.
Note that taking photos of handwritten work does not work very well - the text is hard to read.
In general, late homeworks will not receive credit.
However, we will drop your two lowest homework scores when calculating grades.
Schedule:
| Week: |
Homework: |
Material covered: |
| 1 (Jan 18) |
|
Chapter 1: Vectors and matrices. Carefully read Section 1.3 on your own. |
| 2 (Jan 25) |
HW1 due Thu. (By Sun night is ok.) |
Chapter 1: Vectors and matrices. |
| 3 (Feb 1) | HW2 due Thu. |
Chapter 1: Vectors and matrices. Chapter 2: Systems of linear equations. |
| 4 (Feb 8) | HW3 due Thu. | Chapter 2: Systems of linear equations. |
| 5 (Feb 15) |
|
Winter storm closure - no lectures. |
| 6 (Feb 22) | HW4 due Sunday. |
No lecture Tuesday. Chapter 2: Systems of linear equations. |
| 7 (Mar 1) | HW5 due Sunday. |
Chapter 2: Systems of linear equations. Chapter 3: Determinants and eigenvalues. Notes on determinants. |
| 8 (Mar 8) |
|
Chapter 3: Determinants and eigenvalues. Take home section exam 1 is due on Thursday March 11. Online quiz for section exam 1 is open on Thursday March 11. Exam. Solutions. Quiz. Quiz solutions. |
| (Mar 15) |
|
Spring break. |
| 9 (Mar 22) | HW6 due Thursday. |
Chapter 3: Determinants and eigenvalues. Chapter 4: Vector spaces. Definition of a vector space. Lecture on Section 4.2. Lecture on Section 4.3. |
| 10 (Mar 29) | HW7 due Thursday. |
Chapter 4: Vector spaces. Lecture on Section 4.4. Lecture on Section 4.5. |
| 11 (Apr 5) | HW8 due Thursday. |
Chapter 4: Vector spaces. Lecture on Section 4.6. Lecture on Section 4.7. |
| 12 (Apr 12) | HW9 due Thursday. |
Chapter 5: Linear transformations. (Note: Some material in Chapter 5 will be made optional.) Lecture on Section 5.1. Lecture on Section 5.2. |
| 13 (Apr 19) |
|
Chapter 5: Linear transformations. (Note: Some material in Chapter 5 will be made optional.) Lecture on Section 5.3. Lecture on Section 5.4. Take home section exam 2 is due on Thursday April 22. Online quiz for section exam 2 is open on Thursday April 22. Exam. Solutions. Quiz. Quiz solutions. |
| 14 (Apr 26) | HW10 due Saturday. |
Chapter 6: Orthogonality. Lecture on Section 5.5. Lecture on Section 6.1 (except Gram-Schmidt). Lecture on Section 6.2. Lecture on the Gram-Schmidt process. Slides. |
| 15 (May 3) | HW11 due Thursday. |
Chapter 6: Orthogonality. Lecture on Section 6.3. Lecture on what we did not cover in the course. |
| (May 11) |
|
Take home final exam is due on Wednesday May 12 by 5pm. Online quiz for final exam is open on Wednesday May 12. Exam. Solutions. Quiz. Quiz solutions. |