TA:
Will Stewart. Email: wbstewart@utmail.utexas.edu
TA office hours replaced by Piazza discussions.
Meeting times:
Tuesdays and Thursdays, 8:00am - 9:30am. RLM 5.114.
After March 23, lectures will be prerecorded and posted.
Online discussion sections TTh 8:00am - 9:15am.
Text book:
Elementary Linear Algebra by Stephen Andrilli and David Hecker, 5th edition.
Website:
http://users.oden.utexas.edu/~pgm/Teaching/2020_M341/
Piazza:
Link.
Syllabus:
Updated syllabus here.
Description:
This course covers a variety of topics within linear algebra and matrix theory.
It also provides an introduction to proofs and abstract mathematics.
The course is aimed at students in the mathematical sciences and its objective is to
expose students to the basic concepts of linear algebra, and to develop their proof-writing
skills. Topics to be covered include vectors and matrices, systems of
linear equations, eigenvalues and eigenvectors, determinants, vector spaces, linear transformations,
and orthogonality.
Examination:
See new syllabus for updated information.
Homeworks:
Homeworks will be assigned most weeks. They are due in class, and there will be no credit
for late homeworks. (If you cannot make a class, you are welcome to hand in your homework
the previous class time. If that is not possible, then please contact the instructor or the TA to
ask about other arrangements. But you must still hand in the homework by the deadline.)
Starting March 23, homeworks 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.
Schedule:
| Week: |
Homework: |
Material covered: |
| 1 (Jan 20) |
|
Chapter 1: Vectors and matrices. Carefully read Section 1.3 on your own. |
| 2 (Jan 27) |
HW1 due Thu. |
Chapter 1: Vectors and matrices. Slides. pdf. |
| 3 (Feb 3) |
HW2 due Thu. |
Chapter 2: Systems of linear equations. Extra office hour Tuesday 11-noon, RLM 9.146. |
| 4 (Feb 10) |
HW3 due Thu. |
Chapter 2: Systems of linear equations. Slides for review on Tuesday. |
| 5 (Feb 17) |
HW4 due Thu. |
Chapter 3: Determinants and eigenvalues. |
| 6 (Feb 24) |
|
Chapter 3: Determinants and eigenvalues. Section exam in class on Thursday Feb 27. The exam covers Chapters 1 and 2 in the book. Practice problems. Exam. Solutions. Mean=75.5. Median=77. |
| 7 (Mar 2) | HW5 due Thu. |
Chapter 3: Determinants and eigenvalues. Notes on determinants. |
| 8 (Mar 9) |
HW6 due Thu. |
Chapter 4: Vector spaces. Definition of a vector space. |
| (Mar 16) |
|
Spring break. |
| 9 (Mar 23) |
|
Spring break extended due to Covid-19. No classes this week. |
| 10 (Mar 30) |
HW7 due Thu. Upload to Canvas. |
Chapter 4: Vector spaces. Lecture on Section 4.2 (review). Lecture on Section 4.3 (review). Lecture on Section 4.4. Lecture on Section 4.5. The videos should also be available on Canvas. |
| 11 (Apr 6) |
HW8 due Thu. Upload to Canvas. |
Chapter 4: Vector spaces. Lecture on Section 4.6. Lecture on Section 4.7. |
| 12 (Apr 13) |
|
Chapter 5: Linear transformations. Lecture on Section 5.1. Lecture on Section 5.2. Online quiz on Tuesday April 21. Take home exam is due on Monday April 20 at 5pm. Submit through GradeScope. Solutions. Quiz, solutions. |
| 13 (Apr 20) |
HW9 due Fri. Upload to Canvas. |
Chapter 5: Linear transformations. Lecture on Section 5.3. Lecture on Section 5.4. |
| 14 (Apr 27) | HW10 due Thu. |
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 4) | HW11 due Fri. |
Chapter 6: Orthogonality. Lecture on Section 6.3. Lecture on what we did not cover in the course. |
| (May 11) |
|
Study week. |
| (May 18) |
|
Online quiz Monday May 18 at 9:00am. Take home final exam due on Monday May 18 at noon. The final covers the entire course. However, chapter 5 and 6 will be weighted more heavily. Solutions to exam, quiz. |