MATH 235
Mathematical
Models and Their Analysis
- Syllabus Final exam will be on May 17, 10:30 - 13:15
- Logistics,
motivation, and goals of this course
-
- Assignment for Monday, May 10
- Read Lecture 13 to the end of Sec. 13.4.
- Attempt Problems 1 and 2(i) of HW 13.
- HW 12 is due on Monday, May 10
- HW 13 will be due on Wednesday, May 12
- MATHEMATICA resources
- Follow this
link to install Mathematica
on your computer.
- On that page, read the (very short)
instructions, click on the link "UVM Software Portal" and follow the
directions there. When prompted, you will
need to login with your UVM NetID. And yes, you will need to create a
Wolfram account if you had not created it before (for example, when
taking Calculus).
- On Wolfram's webpage, you are given the
choice between a Download Manager (4GB) or Direct Download (11+GB). I'd
go with the smaller of these files.
- Be prepared that the installation
process
takes about 30+ minutes (or longer if your connection to Internet is
slow). The entire process consists of two stages, which you will be
guided through by the Installer: You first download the installation
package, and then the Installer installs them on your computer.
- On the same page,
notice the link to "tutorial videos" at the end. It is a very friendly
resource,
which will help you if you do not feel comfortable using Mathematica.
For example, Tutorial 5 in that link talks about defining and plotting
functions.
- An alternative, but arguably a less friendly place to get started is my own introductory lab to Mathematica: On this page, you need to open Lab 1, Part 1 and work through the first half of it up to the section "Parametric plots in 2D".
- MATLAB
resources
- Instead of installing Matlab on your computer, you may
run
your programs on Matlab's server online. All you need for that is to
create an account with Mathworks (which will require obtaining an
Activation key as explained above). Once you have an account, go
to https://matlab.mathworks.com/
and begin working.
- MATLAB
Primer by
K. Sigmon
- MATLAB
tutorials by E. Neumann:
- MATLAB
Primer by S. Nakamura. This
is Chapter 1 from the book "Numerical Analysis and Graphic
Visualization with MATLAB," 2nd ed.
- Main materials for
the midterm project:
- Review paper
about Linear Algebra concepts of Information Retrieval
- Breakdown
of
the project paper into topics for presentation
- Assignment
of topics, day of talk, and allowed time:
- Topic Name rehearsal time (week of 3/22) day of presentation in class (week of 3/29)
- 1
Vayl M
5:15 -
6:15
M - 1
-
2 Kelly
T 9 -
10
M - 2
-
3
Leif
W 2:30 -
3:30
W - 1
-
4 Trevor
W 5 - 6 (out of
order)
F - 1
-
5
Nick W 3:45
- 4:45 (out of
order)
W - 2
-
6
Alex Th 3 -
4
F - 2
- I
think I gave everyone a time that they could make, but if I have messed
it up, please let me know ASAP. Also please make sure that you have
read all the Rules for the midterm in the file above. Let me know any
time you have any questions.
- Times
available for rehearsals during the week+ of May 3 to May 12:
- day-date
time
- M(onday)-03(of May) 9 - 10
- Background
information from Linear Algebra
- Notes on Gram-Schmidt
orthogonalization and QR
factorization from "Linear Algebra with Applications", 9th Ed.,
by S.J. Leon
- Notes on SVD
from "Linear Algebra: A Modern Introduction", 4th
Ed., by D. Poole:
- my own notes on SVD
- Notes on
Information Retrieval from "Linear Algebra with Applications", 8th Ed.,
by S.J. Leon:
- Additional (optional) materials
for the
midterm project:
- Final presentation
- Papers from the 2018 class (as per Valy's and Nick's requests):
- Topics:
- Name: Topic
- Trevor "The falling slinky", by R. Vanderbei
- Nick "Hammer juggling, rotational instability, and eigenvalues"
- Vayl " Catenary Curve"
- Leif "Rotating sprinkler"
- Kelly "Diiner, Dancing, and Tennis tournaments matches"
- Available times for rehearsal during the week+ of May 3 to May 12:
- Rehearsals scheduled:
- Name Day & Time
- Trevor Th, May-06, 1:15 - 2:30
- Nick W, May-12, 3:00 - 4:15
- Kelly W, May-12, 10:00 - 11:15
- Vayl T, May-11, 3:00 - 4:15
- Leif T, May-11, 10:30 - 11:45