Note:
Access to document files (lecture notes, exams, homework)
is restricted to
hosts from
.utexas.edu
or to user class with the appropriate password
(posted on Canvas).
Lectures (Tue Thu 12:30pm - 1:45pm)
Lectures will be in-person,
except when the UT Administration decides to switch
in-person lectures to online lectures, for safety reasons.
But there may be a few other exceptions.
Any switch between in-person and online mode
will be communicated to the students via
Canvas announcements.
In order to improve safety during the first 3 weeks,
I recommend that students whose last name starts with A,B,...,Me
only attend the in-person lectures on Tuesdays
(and watch the recordings of the Thursday lectures),
while students whose last name starts with Mi,...,N,...,Z
only attend the in-person lectures on Thursdays
(and watch the recordings of the Tuesday lectures).
Attending the lectures or viewing the recordings is mandatory.
Detailed lecture notes will be posted HERE one week in advance,
together with a list of topics for the upcoming two lectures.
The class lectures follow the lecture notes,
on a somewhat more basic level than the notes,
including summaries, previews, extra context, etc.
You are encouraged to ask questions, including homework-related questions.
In-person lectures in JGB 2.216 are recorded (voice and document camera)
during the time period when, as recommended above, half of the class attends
only the Tuesday lectures and the other half only the Thursday lectures.
These recordings are made available in Canvas.
Access is via the "Lectures Online" tab.
For Zoom lectures, the Meeting ID (the same for all lectures)
is posted on Canvas.
Login via your UT Account. Guest logins will not be allowed.
The lectures will be recorded and made available afterwards on Canvas.
(Active speaker with shared screen, participants' names.)
Access is via the "Zoom" tab, and from there "Cloud recordings".
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.
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 26: (course details,) row reduction; 1.2 in the notes.
- Tue Aug 31: vector equations, matrix equation Ax=b; 1.3 and 1.4 in the notes.
- Thu Sep 2: solution sets, linear independence; 1.5, and 1.6 in the notes.
- Tue Sep 7: linear transformations, matrix of a linear transformation; 1.8, and 1.9 in the notes.
- Thu Sep 9: some special matrices, matrix operations; 2.0 and 2.1 in the notes.
- Tue Sep 14: matrix operations, inverse of a matrix; 2.1 and 2.2 in the notes.
- Thu Sep 16: inverse of a matrix; 2.2 in the notes.
- Tue Sep 21: definition and properties of the determinant; 3.1 and 3.2 in the notes.
- Thu Sep 23: vector spaces and subspaces; 4.1 in the notes.
- Tue Sep 28: Midterm Exam 1.
- Thu Sep 30: vector spaces and subspaces; 4.1 in the notes.
- Tue Oct 5: linear transformations; 4.2 in the notes.
- Thu Oct 7: linear transformations, bases; 4.2 and 4.3 in the notes.
- Tue Oct 12: bases; 4.3 in the notes.
- Thu Oct 14: coordinates, dimension of a vector space; 4.4 and 4.5 in the notes.
- Tue Oct 19: dimension of a vector space; 4.5 in the notes.
- Thu Oct 21: rank; 4.6 in the notes.
- Tue Oct 26: rank, eigenvalues and eigenvectors; 4.6 and 5.1 in the notes.
- Thu Oct 28: Midterm Exam 2.
- Tue Nov 2: eigenvalues and eigenvectors; the characteristic equation; 5.1 and 5.2 in the notes.
- Thu Nov 4: matrix representation and diagonalization; 5.3 in the notes.
- Tue Nov 9: diagonalization, complex eigenvalues; 5.3 and 5.4 in the notes.
- Thu Nov 11: inner products; 6.1 in the notes.
- Tue Nov 16: orthogonality; 6.2 in the notes.
- Thu Nov 18: orthogonal projections; 6.3 in the notes.
- Tue Nov 23: minimization and least squares; 6.4 in the notes.
- Tue Nov 30: diagonalization; 7.1 in the notes.
- Thu Dec 2: quadratic forms; 7.2 in the notes.