Linear Algebra, Math 1554
Fall 2017 Course Information
HW7 The quiz based on this homework will take place
on October 25th (Wednesday).
Read section 4.9 of Lay,
and handout on PageRank distributed on via email October 19th,
and do the following problems:
Handout do the exercise on the last page of the handout
(page 10 in the scan),
4.9: 1, 3, 11, 13, 17ad (parts bc are not needed because
any square matrix with a zero row has a nontrivial null space).
HW6 The quiz based on this homework will take place
on October 11th (Wednesday).
Read section 3.3
of Lay, and do the following problems
3.3: 16, 18, 20, 32b.
1: Show that for any square matrix A the
number det(A^T A) is nonnegative.
2: If Q is square matrix and Q Q^T=I, then |det(Q)|=1.
3: If det(A)=2, what is det(A^k) for a nonzero integer k?
Do not forget to do MyMathLab homework
(due at midnight on Thursday, October 12th).
HW5 The quiz based on this homework will take place
on October 4th (Wednesday).
Read sections 2.8, 2.9, 3.1, 3.2
of Lay. Do the following problems
2.8: 11, 21, 22, 32, 36;
2.9: 17, 18, 20, 21, 24;
3.1: 9, 15, 31, 32, 39, 40;
3.2: 20, 27, 28, 32, 34, 35, 36, 40.
Do not forget to do MyMathLab homework
(due at midnight on Tuesday, October 3rd).
HW4 The quiz based on this homework will take place
on September 25th (Monday).
Read sections 2.1, 2.2, 2.3 of Lay.
We skip section 2.4 (which is actually quite useful in applications but we have
no time for that). Do the following problems
2.1: 15, 16, 19, 20, 21, 28;
2.2: 19, 20, 33;
2.3: 13, 14, 15, 20, 26, 34. Also do #22, 23, 24 from test 1 practice problem list.
Do not forget to do MyMathLab homework
(due at midnight on Monday, September 25th).
HW3 The quiz based on this homework will take place
on September 13th (Wednesday).
Read sections 1.7, 1.8, 1.9 of Lay.
We skip sections 1.6 and 1.10 (which contain easy applications
of linear algebra).
Do the following problems
1.7: 21cd, 22, 26, 28, 36, 37, 38;
1.8: 21ab, 25, 31, 34, 35;
1.9: 23, 24, 26, 29, 30, 35.
Do not forget to do MyMathLab homework
(due at midnight on Monday, September 11th).
HW2 The quiz based on this homework will take place
on September 6th (Wednesday).
Read sections 1.3, 1.4, 1.5 of Lay.
Do the following problems
1.3: 21, 23, 24, 25, 32;
1.4: 18, 23, 24, 30, 32.
1.5: 12, 14, 23, 24, 30, 32, 40.
There is no MyMathLab homework this week.
As announced in class the PLUS sessions are to be held Monday and Wednesdays,
6-7pm in CULC 262 run by Prabhav Chawla, email: pc_1998 at gatech.edu.
HW1 The quiz based on this homework will take place
on August 30th (Wednesday).
Read sections 1.1, 1.2 of Lay. Do the following problems
1.1: 18, 23, 24, 26;
1.2: 21, 22(except c and e), 24, 29, 30, 31.
Do not forget to do MyMathLab homework (due at midnight on Monday, August 28th).
- office hours in Skiles 240B: Monday 11:00-11:50am,
Thursday noon-12:50pm, or by appointment (to be made via email).
- phone: (404) 385-0053 (please do not leave
messages as I do not check voice mail).
- Email: ib at math dot gatech dot edu
This is the best way to contact me. Please include 1554
in the subject header. Please email me from the
Georgia Tech address: this would ensure your message
won't end up in the spam folder, and besides,
I shall not discuss more private matters, such as grades,
to someone with non Georgia Tech email address.
Course homepage: http://www.math.gatech.edu/~ib/1554.html.
T-square will be only used for storing the grades.
- Sections B1-B4 will meet TR 8:00-09:15am, Boggs B9.
- Sections K1-K4 will meet TR 13:30-14:45pm, Clough 152.
Teaching Assistants by section - name, email and office hours in Clough 280:
- B1 Jieun Seong, jseong8 at gatech.edu, Monday 2-3pm in Clough 280.
- B2 Xiaofan Yuan, xyuan at gatech.edu, Thursday 5-6pm in Clough 280.
- B3 Jack Olinde, jolinde at gatech.edu, Monday 2-3pm in Clough 280.
- B4 Haodong Sun, haodongsun at gatech.edu, Wednesday 5-6pm in Clough 280.
- K1 Osama Ghani, osama.ghani at gatech.edu, Monday 1:15-2:15pm in Skiles 230.
- K2 Bhanu Kumar, bkumar3 at gatech.edu, Monday 1:10-2:10pm in Clough 280.
- K3 Timothy Kierzkowski, tkierzkowski3 at gatech.edu, Thursday 2-3pm and
Wednesday from 5-6pm.
- K4 Soham Gadgil, sgadgil6 at gatech.edu, Wednesday 11am-noon in Skiles 230.
Content and Course Objectives:
Linear Algebra concepts and methods are fundamental in many problems
of Sciences and Engineering.
The intellectual goal of the course is to teach you to solve specific problems
in Linear Algebra, and help you understand the ideas behind
the solutions. An education goal to to help you transition from "elementary" math based on
drill and rote learning to "higher" math with more abstract ideas and methods.
More details on the course content can be found in the Official Syllabus which we shall follow closely.
Prerequisites: The prerequisites are MATH 1113 (Precalculus)
with Minimum Grade of D, or SAT Mathematics 600, or Converted ACT Math 600.
Linear Algebra and its applications (5th Edition)
by David C. Lay, Steven R. Lay, Judi J. McDonald. Henceforth we refer
to the book as Lay.
MyMathLab (MML): Georgia Tech has its own MML custom package
for Math 1554 which you need to buy. Do not buy MML from other vendors!
Here is how to register for MML: go to http://www.mymathlab.com, click on student registration,
use your Georgia Tech email (or at least the one you will check regularly).
Our MyMathLab course ID is belegradek53373.
When creating Pearson Account please set
your user ID to your T-square ID (as e.g. in gburdell3),
which will ease converting grades from MML to T-square.
To register you need either to pay or enter the access code purchased elsewhere
(namely, bookstore or from the MML previous course at Georgia Tech). You can pay online
with a credit card or PayPal. If you need time to arrange payment, you can delay paying for up to
two weeks and pick temporary access at registration. Thus you can start using MML immediately.
All grades earned with temporary access will convert seemlessly once you register.
MyMathLab (MML) fine print:
- We will mainly use MML as the online homework system.
MML comes with an electronic version of Lay's textbook, Lay's study guide
(as well as Thomas calculus and Thomas solution manual which we won't use but it
is used in all our calculus courses if you take any within the next 18 months).
The most frugal option is probably to buy MML at http://www.mymathlab.com
while registering for MML (the latter you have to do anyway).
If you need to won a hard copy of Lay's text, the best deal is probably to get it at the bookstore
(book plus MML access code). The bookstore also has other packages,
including a copy of Thomas's text.
- Should you prefer buy/rent used Lay's text,
know that the 4th edition is not much different from the 5th one, and
in any case you will have an electronic copy of the 5th edition within the MML package.
- This is probably not needed, but just in case
the line-by-line registration instruction in pdf format are here.
If you already have an account on MyMathLab using this combined textbook within the past 18 months, then you do not need to purchase a new code. Login to your account on MyMathLab, select the option to add a new course, and enter the MML course ID: belegradek53373.
If you already have a MyMathLab account that used either the Thomas or the Lay texts in the past 18 months, but you were unable to add our course using the previous step, please send an email to firstname.lastname@example.org and include the following information: Your first and last name,
The email address used to register for MML,
your login ID for MML, and our course ID: belegradek53373.
You should receive a reply within 36 business hours from the Pearson support team regarding your account status. In the meantime, you can access our course using the temporary access option when registering.
- Pearson offers 24/7 support via chat, see
Some features of MyMathLab
- Each student gets individual problems, that is, the numbers differ but the problems are similar.
- In MyMathLab homework you have unlimited number of attempts but the problem will change to a similar one after 3 attempts (click in similar exercises to get another problem). Thus nothing stops you from getting 100% on each MyMathLab homework.
I set up MyMathLab to accept unsimplified answers, namely 4/6 is as good as 2/3.
Homework will come in two varieties: computational (done and graded in MyMathLab) and theoretical
(posted at the top of this webpage). Homework will be usually assigned weekly on Monday, and
its theoretical portion will not be graded or collected.
- There will be weekly quizzes in recitations, usually
every Wednesday (but rare changes are possible due to holidays, and
those changes will be announced on the course webpage.).
- Each quiz will consists of 1-2 problems from the theoretical homework
assigned on Monday of the previous week.
- All quizzes are closed-book and closed-notes.
No "help sheet" is allowed on quizzes. No electronics
(such as calculators, computers, mobile devices, headphones) are allowed on
- Three quizzes with the lowest score will be dropped.
- The quizzes will be graded by the Teaching Assistant (TA).
All questions about grading quizzes should be first addressed to the TA.
(I shall deal with whatever cannot be resolved by the TA).
- There will be no makeup quizzes (except for those who miss the quiz due
to Georgia Tech sponsored event, see below). If your excuse
for missing a quiz seems valid to me, then the other quizzes will be given
higher weight. To arrange for this you need to contact me promptly (by email).
- There will be three in-class midterms and one cumulative
- All tests are closed-book and closed-notes. A one-page (two-sided if needed)
"help sheet" will be allowed on midterms; you may write/type anything there.
A four-page "help sheet" (again, two-sided) is allowed on the final.
- No electronics
(such as calculators, computers, mobile devices, headphones) are allowed on tests.
- There will be no makeup tests (except for those who miss the test due
to Georgia Tech sponsored event, see below). If your reason
for missing a test seems valid to me,
then the corresponding part of the final will be given a higher weight;
to arrange for that you must contact me as soon as possible.
With rare exceptions acceptable reasons for missing a test
are limited to illness, court appearance, and taking part in Georgia Tech events.
In particular, the popular excuse ``alarm clock malfunction'' will not be honored.
- Midterms will be graded by the TA/Instructor team with
a detailed grading key provided by the Instructor.
Questions about grading midterms should be asked within one week after
the graded test is handed out.
- Tests will be mainly based on theoretical homework.
- Midterm test dates: September 19th (Tuesday, in lecture), October 18th (Wednesday, in recitation),
November 21st (in lecture, Tuesday before Thanksgiving).
The final will
take place in the lecture room at the following times:
- Sections B1-B4: December 12th (Tuesday) 2:50-5:40pm.
- Sections K1-K4: December 7th (Thursday) 2:50-5:40pm.
Make ups: students who miss a test/quiz due to
Georgia Tech sponsored event (such as travel of student athletes)
can get it made up. To do so they must bring me a note from appropriate
Georgia Tech authority well before the test/quiz.
- MyMathLab homework is worth 10% of the final grade. Quizzes will count for 10%.
Each of the midterms is worth 15%,
and the final is worth 35%. No test score will be dropped.
- All grades will be recorded in T-square, but we will not use
T-square for any other purpose.
- I adopt the following grading scheme: A=85%, B=70%, C=55%, D=45%.
- There will be no "curving" of the grades, that is, performance of your
fellow students will have no affect on your grades.
There is no set quota for the number of A's, B's etc, in particular,
it is possible (though unlikely) that everybody will get an A.
Piazza is an online discussion forum where where you can ask other students (or me
if I am available) any questions about the course. You may register
here with your Georgia Tech email.
The course is Math 1554 (Belegradek). Please be positive and constructive on Piazza.
Your identity will be hidden from other students but not from me.
Random thoughts on how to do well in this course:
- Read and reread the textbook and think about what you have read. Lay's text is not chatty.
- Do all homework!
- Attend lectures and recitations;
while some rare individuals can do well without going to class, there
is a strong evidence that those who attend most lectures and
recitations get a better grade.
- Join/form a study group: explaining ideas to others helps
clarify them for yourself, not to mention that your peers may have
something to teach you too, and most importantly to tell you when you are wrong.
- Always go to review sessions.
- Do not hesitate to ask questions, come to the office hours etc.
Needless to say that
cheating will not be tolerated. Please report all cheating
to me or your TA, and do so promptly.
the Georgia Tech Honor Code
for your rights and obligations.
What constitutes cheating on a test or quiz?
Examples are use of unauthorized materials, use of electronic devices,
and getting outside help including talking, and looking in other
What constitutes cheating on MML homework?
Examples are looking up your answers online and asking others to do homework for you.
On other other hand, discussing MML homework problems in study groups is perfectly acceptable.
How to get help:
- any concerns should be promptly discussed with
me. All feedback on teaching and administrative issues is appreciated.
- Please check out the School of Mathematics free
which will open one week after classes begin and closes the Thursday before finals.
All those in the lab should be able to help you, but those teaching Math 1553 and
Math 1554 should have everything on their fingertips.
Georgia Tech Disclaimer:
THIS PAGE IS NOT A PUBLICATION OF THE GEORGIA INSTITUTE OF
TECHNOLOGY AND THE GEORGIA INSTITUTE OF TECHNOLOGY HAS
NOT EDITED OR EXAMINED THE CONTENT. THE AUTHOR(S) OF THE
PAGE ARE SOLELY RESPONSIBLE FOR THE CONTENT.... Thank goodness!