Florida International University
17638 MAP 2302 U02, Spring 2019DIFFERENTIAL EQUATIONS
Instructor: Dr. Tebou E-mail: teboul@fiu.edu |
Tel: (305)
348-2939 |
Office hours: TR:
12:30-2:00 PM, Just drop by my office for hep, no appointment is needed. |
Lectures: TR 11:00-12:15
in GC 277 Website: faculty.fiu.edu/~teboul/map2302-sp19.html |
Office: DM 427 | Other times: by appointment
only.
(If you cannot make the office hours, you can talk to me, e-mail or call me for another arrangement.) |
Free Tutoring: GL 120 (MTWR 09:00-20:00,
F
09:00-17:00); ask for the
mathematics tutors. For more information about math
help,
click
here. Additionally, Michael Ibalmea is our
Learning Assistant, and he will be helping you with course and homework
questions. The
LA session rooms and times will be set by you on 01/10. To contact the LA, just email him.
Communication: If need be, I will communicate with you through your FIU email account; so be sure to check it 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 hereCourse 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 homogeneus equations, and
linear differential equations. As for higher-order linear
differential equation, we will discuss the characteristic
polynomial 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 charcteristic polynomial, the method of undetermined
coefficients, the method of variation of parameters, series method ,
and Laplace transform method.
Early Alerts: The early alerts system is there to help you succeed in this course by detecting difficulties with the course early on in the semester, so that they can be addressed with your advisor. Here is how it works: if you are not performing well in the course or if you are frequently absent, I will inform your advisor so that you will be contacted to discuss either issue.
Spring 10: Test 1 Test2 Test1-key Test2-key Spring 08: Test 1 Test2 Test 3
Recommendations:
Begin
to
do your homework from today, January 08, 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 ( Thursday Feb. 07; Thursday March 07; Thursday
April 11 )
-Ten quizzes ( Th
Jan. 17, Th Jan. 24, Th Jan. 31, Th Feb. 14, Th Feb 21, Th Feb 28, Th
March 21, Th March 28, Th April 4, Th
April 18)
- Cumulative Final exam ( Thursday April 25, 2019, 09:45-11:45 AM, same room.)
The three in-class tests will make up 60% of the final grade while the ten quizzes will account for 10% of the final 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 the class starts; do not arrive late on a quiz or test day, else you will not be allowed to take the quiz or test, and you'll get a zero. During an exam, you'll not be allowed to leave the room before you are done. For students who took all the quizzes and tests, we will also use the alternate grading scheme: Term work 50%, and final exam 50%, whichever produces the highest grade. No calculators, or ipods, ipads or pagers or cellphones are allowed during the exams or class time; you are not allowed to use or check these devices during the exam or class time, they must be off. If you're caught with your phone or smart watch during an exam, it will be considered an act of cheating, and you'll get a zero on that exam. 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 Scale:
00-39
F
40-59
D 60-64
C
65-69
C+
70-74
B-
75-79 B
80-84
B+
85-89
A-
90-100 A
Important
Dates:
March 18 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 January 21 for MLK Day.
Spring Break: March 11-16, 2019.