Note:
Access to document files (lecture notes, exams, homework)
is restricted to
hosts from
.utexas.edu
or to user class with the appropriate password.
Lectures are Tue Thu 12:30-2:00
They are held online via interactive Zoom sessions.
The Meeting ID will be posted ahead of time on
Canvas.
(Most likely Canvas sends out automatic announcements as well.)
Login via your UT Account as
described here.
Guest logins will not be allowed.
The lectures will be recorded and made available afterwards
on Canvas.
(Active speaker with shared screen, participants' names.)
Class recordings are reserved only for students in this class
for educational purposes and are protected under FERPA.
The recordings should not be shared outside the class in any form.
Violation of this restriction by a student could lead to Student Misconduct proceedings.
The online lectures follow the lecture notes,
on a somewhat more basic level than the notes,
including summaries, previews, extra context, etc.
There is time for answering questions, including homework-related questions.
There may be some "poll" questions during lectures
to test basic understanding.
Updated lecture notes (and a syllabus) are posted here.
Students are strongly encouraged to read them before the lecture.
Lecture notes
Remarks:
The notes are cumulative.
The latest set should be considered work in progress,
so the numbers assigned to theorems, equations, and examples may change.
The indicated date is something like a "target date",
by which the version is meant to be stable.
The sections and subsections in the notes
correspond roughly to those in the textbook.
But the theorems, equations, examples,
and their numbers differ from the textbook.
Syllabus
- Thu Aug 27: (course details,) row reduction; 1.2 in the notes.
- Tue Sep 1: row reduction, vector equations; 1.2 and 1.3 in the notes.
- Thu Sep 3: matrix equation Ax=b, solution sets; 1.4, and 1.5 in the notes.
- Tue Sep 8: solution sets, linear independence; 1.5 and 1.7 in the notes.
- Thu Sep 10: linear transformations, the matrix of a linear transformation; 1.8 and 1.9 in the notes.
- Tue Sep 15: the matrix of a linear transformation, matrix operations; 1.9 and 2.1 in the notes.
- Thu Sep 17: matrix operations; 2.1 in the notes.
- Tue Sep 22: inverse of a matrix; 2.2 in the notes.
- Thu Sep 24: definition and properties of the determinant; 3.1 and 3.2 in the notes.
- Tue Sep 29: midterm Exam 1.
- Thu Oct 1: vector spaces and subspaces; 4.1 in the notes.
- Tue Oct 6: vector spaces and subspaces; 4.1 in the notes.
- Thu Oct 8: linear transformations; 4.2 in the notes.
- Tue Oct 13: linear transformations, bases; 4.2 and 4.3 in the notes.
- Thu Oct 15: coordinates; 4.4 in the notes.
- Tue Oct 20: dimension of a vector space, rank; 4.5 and 4.6 in the notes.
- Thu Oct 22: rank, eigenvalues and eigenvectors; 4.6 and 5.1 in the notes.
- Tue Oct 27: eigenvalues and eigenvectors; 5.1 in the notes.
- Thu Oct 29: midterm Exam 2.
- Tue Nov 3: characteristic equation, matrix representation; 5.2 and 5.3 in the notes.
- Thu Nov 5: matrix representation and diagonalization; 5.3 in the notes.
- Tue Nov 10: complex eigenvalues; 5.4 in the notes.
- Thu Nov 12: inner products; 6.1 in the notes.
- Tue Nov 17: orthogonality; 6.2 in the notes.
- Thu Nov 19: orthogonal projections; 6.3 in the notes.
- Tue Nov 24: minimization, least squares, and symmetric matrices; 6.4 and 7.1 in the notes.
- Tue Dec 1: symmetric matrices, diagonalization; 7.1 in the notes.
- Thu Dec 3: quadratic forms; 7.2 in the notes.