Florida International University
                                               12503 MAP 2302 U02, Spring 2021
                                             DIFFERENTIAL EQUATIONS
Prerequisite: MAC 2312 (Calculus II) with a grade C or better.
Instructor: Dr. Tebou
E-mail: teboul@fiu.edu
Tel: (305) 348-2939
 Office hours: TR: 12:30-2:00 DM 427/Zoom
 Just click on Zoom link in Canvas, and choose this hour for help, no appointment is needed.
Lectures: TR  11:00-12:15   PG6-115/Zoom

Website: faculty.fiu.edu/~teboul/map2302-U02-sp21.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,  Enzo De Oliveira  is our Learning Assistant, and he will be helping you with course and homework questions.  The LA Zoom sessions link  and times are posted in Announcements on Canvas.

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  Google Drive or 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 Thursday 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 Monday 11:59pm. That will count toward your participation grade.
5)  Your FIU ID Card will be required for each test; so be sure to get one before our first test due February 4.

  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, January 12, 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:
-  Attendance and Participation ( 5% each)
Three tests  ( Thursday Feb. 04; Thursday  March 11;  Thursday  April 08)
-Ten  quizzes ( Th Jan. 21,  Th  Jan. 28,  Th  Feb.  11,  Th Feb. 18, Th Feb 25,  Th  March 04, Th March 18,  Th March 25, Th April 01, Th April  15)
- Cumulative Final exam ( Thursday April 22, 9:45-11:45AM. 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

Honesty Statement:

 

FIU defines academic misconduct in the Student Conduct and Honor Code (Code) as, “any act or omission by a Student, which violates the concept of academic integrity and undermines the academic mission of the University in violation of the Code.” Code violations include, but are not limited to: academic dishonesty, bribery, cheating, commercial use, complicity, falsification, and plagiarism. The Code is available here: https://studentaffairs.fiu.edu/get-support/student-conduct-and-academic-integrity/student-conduct-and-honor-code/index.php



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: 
March 22  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 18 for MLK Day.