Florida International University
82413 MAP 2302 U05, Fall 2020
DIFFERENTIAL EQUATIONS
Prerequisite: MAC 2312 (Calculus II) with a grade C
or better.
Note: Please be reminded that this is a remote
learning setup, and not an online one. So your attendance and
class participation is highly expected.
You will
need a working laptop with a webcam, and a good internet connection
throughout the semester.
Instructor: Dr. Tebou
E-mail:
teboul@fiu.edu
|
Tel: (305)
348-2939
|
Office hours: MW: 3:00-4:00 on Zoom
Just click on Zoom link in Canvas, and choose this hour for help,
no appointment is needed.
|
Lectures: MWF 2:00-2:50 on Zoom
Website:
faculty.fiu.edu/~teboul/map2302-U05-F20.html
|
Office: DM 427 |
Other times: by appointment
only.
(If you cannot make the
office hours, you can talk to me, or e-mail me for
another arrangement.) |
Free Tutoring: You may want to call 305-348-2441,
and ask where the math tutors hold their Zoom sessions. For more information about
math
help,
click
here. Additionally, Danay
Fernandez is our
Learning Assistant, and she will be helping you with course and
homework
questions. The
LA Zoom sessions and times will be set by you and Danay on the
second day of class.
Communication: If
need be, I will communicate with you through Canvas and your FIU
email account; so
be sure to check them often.
Attendance:
It
is strongly recommended that you attend all class meetings.
If you
cannot attend a lecture, it is your responsibility to cover the missed
material or to get the notes from a class mate.
Textbook: Introduction to
Ordinary
Differential Equations, by S. Ross, 4th edition, J. Wiley, 1989.
The material I plan to cover includes chapters 1 to 6, and 9. A good
command of the differentiation formulas from Calculus I and
standard techniques
of integration covered in Calculus II is necessary for this course; so
it is important that you review them prior to taking this course.
For a quick review of integration, click here
For a quick review of algebra and trigonometry, click here
Lecture recordings: All
lectures are recorded, so that you can go back and watch whatever
portion of the material covered, that you want. However, no portion of
the recordings should be uploaded on any social media platform.
Class Rules:
1) When in attendance, your video should be on at all times.
2) When
taking an exam or quiz, your video must be on at all times, and your
face and hands must also be visible at all times. Tests and quizzes
will be proctored on Zoom using LockDownBrowser.
3) Be sure to download the Camscanner app if you do not have it
yet. You will have at most 10 minutes to upload your quiz or exam on
Canvas, once you have finished. That software, if properly used can
help you upload your exam in under 5 minutes. When you want to
scan many pages, use the batch option to scan as a single pdf file.
4) Class
participation helps the overall class in the learning process; the
advantage with the remote learning environment is that you can
participate privately through the chat tool. I encourage you to
participate as much as you can. Never come to class unprepared, and
never sit idle. After each Wednesday class meeting, you will have to
download from Canvas and do a participation problem, then submit
your answer through Canvas. Your problem must be submitted by Thursday
11:59pm. That will count toward your participation grade. Keep in mind that you will not be able
to upload a participation problem if you were not in class.
5) Your FIU ID Card will be
required for each test; so be sure to get one before our first test due
September 25.
6.2: Frobenius method example
Course
introduction and purpose: Differential
equations are mathematical equations used to describe natural
phenomena. They can classify in two categories: ordinary differential
equations and partial diferential equations. This course focuses on
ordinary differential equations, more precisely, first-order
differential equations and higher-order linear differential equations.
This course introduces students to techniques for solving basic
ordinary differential equations. The first-order
differential equations tackled include: exact differential
equations, separable and homogeneous equations, and
linear differential equations. As for higher-order linear
differential equation, we will discuss the characteristic
polynomial method and the reduction of order method for homogeneous
equations, the method of
undetermined coefficients and the method of variation of
parameters for nonhomogeneous equations. We'll also discuss series
method and the Laplace transform method.
Course
outcome: After completing the course, students should be able to:
- identify different
types of differential equations,
- solve first-order exact, separable, homogeneous, and linear
equations,
- solve higher-order linear differential equations using the
method of characteristic polynomial, the reduction of order method, the
method of undetermined
coefficients, the method of variation of
parameters, series method and Laplace transform method.
Spring 10: Test 1
Test2
Test1-key Test2-key Spring
18: Test 1
Test2
Test 3
Test1-key
Test2-key Test3-key
RECOMMENDED
PROBLEMS
Recommendations:
Begin
to
do your homework from today, August 26, till the last day of class.
Set your goal for the course right from the beginning, and work
tirelessly toward it; do not let anyone or anything divert you from
your goal. Many students have trouble passing this course because there
are many different notions to assimilate
within one semester. However, if you put the necessary effort into it,
then you'll succeed. Be sure to always come to class well prepared to
tackle the topic of the day; read the section(s) to be covered
beforehand; doing this will make it easier for you to understand the
material to be discussed in class. Do not fall behind; it might prove
very difficult
to catch up afterwards. Be sure to
attend classes regularly, and to diligently deal with any questions or
concerns you might have. Remember that I, the LA, and other free
tutoring help are here to help you succeed; so do not be shy or afraid
to ask questions about a notion that you do not understand; it is
absolutely normal not to be able to catch every apple as it falls
from
the tree, but be sure to pick up those that have escaped your grasp. It
is my responsibility to make sure that your questions and concerns are
swiftly addressed to your satisfaction. Avoid being a passive learner;
I expect
you to be active in and outside the classroom by regularly coming to
class well prepared, by doing the
homework as we move along the sections, and by asking questions on
concepts or homework problems that you find hard. To facilitate your
progress with problem solving, it would be better to note down the
homework problems that you could not solve as well as the reason why
(maybe you did it and your answer was not the same as the one at the
back of the book, or you started and could not complete, or you did it
differently than the solution manual and want to ckeck whether your
approach is correct, or you could not even start); that would be very
helpful when you raise questions about them. You will acquire the
necessary skills needed to successfully complete this course by
doing your homework. I will do my best to help you, and I expect you to
do your best. Do
not wait until the eve of a test or quiz to try to catch up on
every thing; it would be too late.
After a test or quiz has been graded, be sure to discuss
your
mistakes with me or the LA so that you do not make the same
mistakes in subsequent tests or quizzes.
Always do your best. "Never do
tomorrow what you can do today.
Proscratination is the thief of time''. Commitment
+Effort=Success. Always do your best.
Evaluation:
- Three in-class tests
( Friday Sept. 25;
Friday Oct. 23; Friday Nov. 20)
- Attendance 5% and class participation 5%
-Ten
quizzes ( F Sept. 04, F Sept. 11, F Sept. 18, F Oct. 02, F Oct. 09, F Oct. 16, F Oct. 30, F Nov. 06, F Nov.
13, M Nov. 30)
- Cumulative Final exam ( Tentative:
Wednesday December 09,
2020,
12:00-2:00 PM, on Zoom. To be confirmed later.)
The
three in-class tests will make
up 45% of the course
grade while the ten quizzes will account for 15% of the course
grade. Attendance and Participation will each be worth 5% of your
course grade.
The final exam is cumulative, and will be worth 30%. You will be
required
to produce a photo ID before taking any of the tests, and before
writing
the final exam. Arrange
to
be in the room about ten
minutes before class starts. During an exam/quiz, you'll
not
be allowed to leave the room until you are done. There will be no
make-up
for
missed tests or quizzes. If you miss a test/quiz and you produce a
doctor
certificate indicating that you were sick and unable to write the
test/quiz,
then the corresponding grade will be added to the final exam grade,
otherwise,
a zero will be recorded for any missed test/quiz.
Grading
Scheme
| Lette |
Range% |
Letter |
Range% |
Letter |
Range% |
| A |
95 or above |
B |
80 - 84 |
C |
65 - 69
|
| A- |
90 - 94 |
B- |
75 - 79
|
D |
50 - 64 |
| B+ |
85 - 89 |
C+ |
70 - 74 |
F |
49 or less |
Academic
Misconduct:
FIU is a
community dedicated to generating and imparting knowledge through
excellent teaching and research, the rigorous and respectful exchange
of ideas, and community service. All students should respect the right
of others to have an equitable opportunity to learn and honestly
demonstrate the quality of their learning. Therefore, all students are
expected to adhere to a standard of academic conduct, which
demonstrates respect for themselves, their fellow students, and the
educational mission of the University. All students are deemed by the
University to understand that if they are found responsible for
academic misconduct, they will be subject to the Academic Misconduct
procedures and sanctions, as outlined in the Student Handbook.
Incomplete grades:
It is
extremely difficult to qualify
for an incomplete grade. An incomplete grade is not a substitute for a
failing grade. In order to be considered for an incomplete grade, the
student
must have completed at least 70% of the course and must
be passing with a grade of C or better.
Important
Dates:
November 2 is the last
date to drop the course with a DR grade. It is of a great
importance that you accurately assess your course performance prior to
this date. The university
is closed on Monday
September 7 for
Labor Day, Wednesday November 11
for Veterans Day holiday, and November
26-27 for Thanksgiving.