ENGR108: Introduction to Matrix Methods
Syllabus
In this course, we will focus (of course) on vectors, matrices, and
their applications, with a special emphasis on those we can understand
and solve via least-squares problems. Lectures will consist of going
through slides, on which we will actively take notes, and we will
post the handwritten notes here.
A rough outline of topics we expect to cover is as follows:
Vectors: definitions, operations on vectors, distances, norms, and
applications in clustering.
Matrices: definitions, examples, basic factorizations and their uses,
examples via dynamical systmes.
Lectures and Reading
Here, we will post readings from the
course textbook associated with
each lecture. In addition, for posterity's sake, we post a few annotated
lecture slides from previous iterations of the course, though
their similarity with this year's version may vary.
| Topic | Reading | Slides |
Tue, April 4 | Overview and vectors | Ch. 1 | Overview, vectors |
Thu, April 6 | Vectors and linear functions | Chs. 1–2 | vectors, linear functions |
Tue, April 11 | Linear functions and norms | Chs. 2–3 | linear functions |
Thu, April 13 | Norms and clustering | Chs. 3–4 | norms |
Tue, April 18 | Clustering | Ch. 4 | clustering |
Thu, April 20 | Linear independence | Ch. 5 | linear independence |
Tue, April 25 | Bases and Gram Schmidt | Ch. 5 | linear independence |
Thu, April 27 | Matrices | Ch. 6 | matrices |
Tue, May 2 | Matrices | Ch. 6 | matrices |
Thu, May 4 | Midterm | Chs. 1–6 | |
Tue, May 9 | Matrix examples | Ch. 7 | examples |
Thu, May 11 | Matrix examples | Ch. 7 | examples |
Tue, May 16 | Linear equations | Ch. 8 | equations |
Thu, May 18 | Matrix multiplication | Ch. 10 | multiplication |
Tue, May 23 | Matrix multiplication and inverses | Chs. 10–11 | multiplication, inverses |
Thu, May 25 | Matrix inverses | Ch. 11 | inverse |
Tue, May 30 | Least squares | Ch. 12 | least squares |
Thu, June 1 | Least squares data fitting | Ch. 13 | fitting |
Tue, June 6 | Least squares data fitting | Ch. 13 | fitting
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