Home Page of MA353,
LINEAR ALGEBRA II WITH APPLICATIONS
Instructor: Jaroslaw Wlodarczyk
Grading: The approximate cutoffs for grading
are the following A > the max upper limit 425,
A- >415 or lower, B>375 or lower C> 315 C->300.
The final cutoffs will be based upon the performance.
The FINAL:
The final exam is scheduled for the 24h period Wed 05/06
2pm-Thu 05/07 2pm.
It is an honor code, an open book exam.
The following Pledge statement should be handwritten signed
and uploaded in order to receive the credit:
(Question Q17 in the exam):
"I pledge on my honor that I have not given or received any
unauthorized assistance on this examination."
If you do not upload the pledge form I will subtract 50 points
from your score.
The final exam will be done in gradescope. You will have 24
hrs to start your exam. Once you start it, you will have 2.15 hrs to
finish it.
There will be posted questions, and you will be uploading the
scans of your solutions for each question separately, or
filling the answers directly. (Both options are available only for
TRUE-FALSE see below)
It is recommended to complete your work on the paper
first (around 2hrs) and to upload the scans at the end (around
15min). (Including your pledge).
Please contact me immediately by email if there is any technical
problem!!!
The emphasis of the exam is on Chapters 5,6,7 as it is reflected in
the sample problems.
The structure of the final exam is the following.
10 True false questions with justifications. (5 points each) The 10
subquestions of question Q1
10 short computation problems with full justifications. (10points
each) Questions Q2-Q11
5 short Proofs. (10points each) (Questions Q12-Q17)
The Final exam sample problems are posted now. (Last update
was made on April 23)
The videos and pdfs of the solutions of sample problems
are posted now in a separate folder on onedrive.
Help session
I will also have 1hr help session on the
next Wednesday, April 29 at 2pm to answer your questions. (Admission
until 2.10pm)
Lectures with approximate times (by weeks):
5.5A Criterion for diagonalizability. (45 min)
5.5B Direct sums. Decompostion into direct sums of eigenspaces. (45
min)
6.1 Inner products and orthogonal sets. (75min)
6.2 Properties of orthogonal and orthonormal bases. Gram-Shmidt
orthogonalization. Orthogonal projections. Ortohgonal complements.
(75min)
6.3 Adjoint of linear operators and applications. Least squares
solutions (75min)
6.4 Diagonalization of normal and self adjoint operators
(75min)
6.5. Orthogonal and Unitary operators, and their applications
(75min)
6.5a Example of orthogonal diagonalization of a symmetric matrix
(15min)
6.6 Projections and Spectral Theorem (45 min) ,
5.4 Invariant spaces and Cayley-Hamilton Theorem (15 min)
7.1 Jordan canonical forms, Jordan bases, Jordan blocks, generalized
eigenvecors.
7.2 Examples> Jordan canonical forms. Construction of
Jordan bases.
Virtual office:
Location: Zoom
Meeting id in my zoom account
323 824 0489
Password is required now (after update):
Password: 147740
Access online point for lectures, questions and discussions:
The link to shared folder in onedrive.
https://purdue0-my.sharepoint.com/:f:/g/personal/wlodarcz_purdue_edu/El962BOyN1ZJmeuwf2LjKoMBe1fsqOTzefzFF3YgI5mkLw?e=CpIP04
Open office hours will be held in Zoom on
Wednesdays 2pm-2.40 pm.
Individual office hrs: Wed: 3pm-4pm. Please sign up
on one drive sheet (see below)
or by appointments through email in other time
You need to sign up on one drive, and specify time for the
individual meeting.
If necessary please prepare the materials that you
want discuss like scans or pictures. You may also send them to
me i advance by email.
There are still questions that can be answered by
emails, but sometimes it is better to discuss the problems
directly.
HWKS- shall be submitted through gradescope.
They are due on Thursdays 11 pm.
Here are some tutorials:
https://www.gradescope.com/get_started#student-submissionOffice
hours:
When submitting problem you need to state which problem solution
is on which pages. These pages may overlap!This is a simple and
fast procedure. If you skip this step you will be asked by a
grader to regroup the problems.In the future only the correctly
submitted problems will be graded. When you submited the
problems and your hwk was graded you may sometimes see that
only a certain procent was graded.
This is because the grader does not grade all the hwk problems. At
the end of grading he will remove all the ungraded problems from
the outline. Remember you will get max 20 pts from your hwk.
Lectures
Lectures are posted on onedrive in the shared folder Lectures.
They are being posted by each Tuesday and Thursday. The
posted lectures are usually around 1.15min+/- (sometimes
consist of a few parts)
Remember that the hwks are being posted one
lecture ahead (with respect to the standard schedule) , so
some students can submit their hwks earlier.
.
Virtual whiteboard.
In order to discuss math questions, exams, your written paper
work and other I use
aww web whiteboard.
NEW Grading Policy: The course grade will be based
on the following:
One midterm exams: 1 times 100 =
100 pts
Final exam: 200 pts
Homeworks: 200 pts
Total 500 pts
Solns to some hwk
problems
Math 35300: Section 161. Linear algebra II, Purdue
University, Fall 2013
Text Book:
Friedberg, Insel, and Spence. Linear Algebra,
5th Edition.
NEW HOMEWORK SCHEDULE:
Homework assignments
1. Sections 1.2, 1.3, 1.4 (Jan 23)
2. Sections 1.5, 1.6,1.7 (Jan 30)
3. Sections 2.1, 2.2, 2.3 (Feb 6)
4. Sections 2.4, 2.5 (Feb 13)
5. Sections 3.1, 3.2 (Feb 20)
6. Sections 3.3, 3.4 (Feb 27)
Midterm 1: March 3
7. Sections 4.1, 4.2, 4.3, 4.4 (March 12)
8. Sections 5.1, 5.2 (March 26)
9. Sections 6.1, 6.2 (April 2)
10. Sections 6.3, 6.4 (April 9)
11. Sections 6.5, 6.6
(April 16)
12. Sections 5.4 ,7.1,
7.2 (April 23)
13. No HWKs: Preparation for
the final.
Sample Problems for Exams :
.