Syllabus for Math 221-1, Summer 2012 Introduction to
MTTh 9:00-11:05AM; IT (Information Technology), Room 229
||Osman Guler, Professor of Mathematics
||428 Math/Psych Building
||(410) 455-2421 begin_of_the_skype_highlighting (410) 455-2421 end_of_the_skype_highlighting
||(410) 455-2412 begin_of_the_skype_highlighting (410) 455-2412 end_of_the_skype_highlighting (Departmental Staff)!
||MWTh 11:30-12:00pm; and by appointment
||Math 141, 151, or 155, or 380 with a grade of C or better
|Course Add-Drop Deadline:
||Linear Algebra and its Applications, David C. Lay (4th Edition),
by Addison-Wesley. You may wish to purchase the "Study
Guide" to Lay's book.
||You should take advantage of the excellent resources (including review
sheets and practice exams) at the course web site.
||No calculators will be allowed in exams. You may, however, use
calculators for homework, if you wish.
The course will cover
||Wednesday, May 30
||Thursday, May 31
||Monday, June 4
||Wednesday, June 6
|Chapter 1 (and 2):
||Thursday, June 7
|Chapter 2 :
||Monday, June 11
|Chapter 3 :
||Wednesday, June 13
||Thursday, June 14
||Monday, June 18
||Wednesday, June 20
||Thursday, June 21
|Chapter 5 (and 6):
||Monday, June 25
|Chapter 6 :
||Wednesday, June 27
|Chapter 6 (and 7):
||Thursday, June 28
||Monday, July 2
Calculus and Linear Algebra are two cornerstones of
modern mathematics and much else. For example, they are widely used
the physical and biological sciences, engineering, and economics, and
A strong knowledge of Linear Algebra is required to understand the
behind search engines like Google, image and audio formats like
JPEG and MP3, quantum mechanics, DNA sequencing, and computer graphics,
and regression analysis
in statistics, just to name a few applications. Linear Algebra is also
needed to solve the
differential equations (both ordinary and partial) that model weather
systems, biological systems,
the stock market, VLSI circuits, econometrics models, operations
research, and so on. In Math 221
you will learn the basic material in Linear Algebra that will later
enable you to apply
Linear Algebra to your chosen field.
Mastering the concepts of linear algebra is perhaps even more important
than learning how to perform linear algebraic calculations. The
conceptual aspects of
the subject become increasingly central as the course progresses.
Specific Learning Goals
Competence at basic calculations involving matrices and vectors,
including the ability to
solve low-dimensional linear systems and calculate the rank and inverse
of a matrix using Gaussian
elimination, calculate eigenvalues and eigenvectors, diagonalize
matrices, and construct orthogonal
bases using the Gram Schmidt algorithm.
Grasp of basic theory including results on the existence of
solutions to linear equations,
linear independence of vectors, the concept of a linear transformation,
the theorem on the inverse
of a matrix, determinants, vector spaces and subspaces, nullspaces,
column spaces and the rank theorem,
bases, characteristic equations and eigenvalues, eigenvectors, geometry
of orthogonal projections.
I will not tolerate cheating in any form. All instances of cheating I
discover will be reported
to UMBC's academic integrity committee. (See the link for
Academic Integrity at UMBC for more information.
In particular, in this course, giving or receiving aid on exams will
result in a grade of zero
for that exam. Copying of homework solutions from other students in the
class, from students
who have previously taken this or an equivalent course, from a solutions
manual, or from the web
will treated as a serious offense. At a minimum this will result in a
grade of zero for that homework
(which will not be counted as one of the two lowest homeworks I drop
when calculating your overall
homework grade). For flagrant cheating on homework I reserve the right
to give a grade of zero for
the homework on which the students was found to have cheated as well as
on all homeworks that were
turned in prior to the discovery of the offense. Also see comments below
in the subsection on Homework.
Here is a summary of UMBC's official policy on academic misconduct,
which I fully endorse:
"By enrolling in this course, each student assumes the
responsibilities of an active participant in UMBC's scholarly
community in which everyone's academic work and behavior are
held to the highest standards of honesty. Cheating, fabrication,
plagiarism, and helping others to commit these acts are all forms
of academic dishonesty, and they are wrong. Academic misconduct
could result in disciplinary action that may include, but is not
limited to, suspension or dismissal. To read the full Student
Academic Conduct Policy, consult the UMBC Student Handbook,
the Faculty Handbook, or the UMBC Policies section of the UMBC
Letter grades in this course will be based on 3 Tests 50 minute tests and a
2 hour Comprehensive Final Exam. They will have the
||June 11 (Monday)
||June 18 (Monday)
||June 25 (Monday)
|Comprehensive Final Exam:
||July 5, Thursday, 9-11AM in IT 229.
Letter grades for the course will be based on your total score (S)
which is the weighted sum of scores in the homework problems, quizzes, and the
You are guaranteed the corresponding grade if your score falls in the
However, the grading system may be changed for the entire class or in
at the discretion of the instructor. In particular, class attendance
participation will be taken into account if your grade falls on the
between two grades. Also, a strong showing in the final exam will be
signals to me that you have a solid understanding of the course at the
||80 < S ≤ 100;
||70 < S ≤ 80;
||60 < S ≤ 70;
||50 < S ≤ 60;
||0 ≤ S ≤ 50
Please note that the dates announced above for the midterm exams
You can expect that the actual exam date will be given within a week of
the announced date,
and will be announced at least one week in advance. The date of the
final exam is fixed, being
set by the university.
A makeup midterm examination will be given only under the most
with written documentation and prior approval from me. There will
be no make ups given
for the final exam.
Please note that the final exam is comprehensive, and thus covers
on the whole course!
Your success in the course depends greatly on you doing the assigned homework
assignments regularly to assimilate the material covered in the classes.
Please make sure that you finish the homework on time and that you bring the
difficulties to my attention. These will be dealt with promptly in
class or sometimes during the office hours.
Each week, a set of homework problems will be posted on the course
Web page in Blackboard, in two categories, required and
Homework sets will NOT be collected due to the fast pace of the short semester.
However, you are encouraged to solve all of these homework problems.
Any questions on the homework should be brought to my attention in class.
You may work in small groups for the homework. However, you should
not rely on group study alone. Best learning is done alone, leaving plenty of time
for self reflection.
General Advice on How to Study for the Course
Please remember that, ultimately, you are responsible for your own
learning, and that I am here to guide you and to give you directions.
Here are some suggestions:
The summer semester is about 2.5 as fast as a regular semester.
Therefore, it is imperative that you spend 25 or more hours a week on this
course outside of class time.
Warning! This course gets harder as the semester
progresses. My experience is that student who receive a C on the midterms
are in grave danger of getting D/F on the final and in the course.
To do as well as you can, I strongly encourage you to come
to see me with specific questions on a regular basis.
You are expected to read the section we will cover each period
ahead of time.
It is very important to keep the main definitions, statements of
theorems, and simpler examples
on the forefront of your minds throughout the course, since we will
refer back to them many times.
You will need to digest the material several times to master it - before
class, in class, reading through
material after class, re-deriving for yourself without any aid results
discussed in class, and doing
the assigned problems.
This is a fast paced course. Do not get behind. Do not miss class.
If you miss a class or start to get lost,
it will only be a week before you are totally lost. So ask for help from
me and from your fellow students immediately!
I encourage you to ask questions both in and out of class.
If you are dazed and confused most likely most of
your class mates are too! So you'll be doing everyone a favor by asking
In class I may call on people by name to answer questions. This is
to keep you involved and helps me find out
whether you are understanding what's going on. If you do not feel
comfortable being called on in class, please come
and talk with me, and we will find another way to actively involve you.
Come and talk with me in my office. Talk math with your fellow
students, don't work in isolation.
Learn the art of taking good notes. My lectures will often present
a somewhat complementary perspective on
the subject to that in the textbook.