Florida International University
                                                             11702 MAS 3105 (U01), Spring 2021
                                                               LINEAR ALGEBRA

Prerequisites: MAC 2311 and  MAC 2312, each 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 PM  on Zoom  or in  DM 427
 Just drop by my office for help (you may use the zoom link posted on Canvas), no appointment is needed.
Lectures: TR 9:30-10:45 AM  in  PG6-114 and  Zoom
Website: faculty.fiu.edu/~teboul/mas3105-sp21.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.)

Communication:  If need be, I will communicate with you through your FIU email or Canvas account; so be sure to check them often.   In the event that our face-to-face class cannot meet as regularly scheduled, I will contact you using your Canvas account.

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 classmate. 

Course help:  Enzo De Oliveira is the Learning assistant (LA)  for this course and will be helping you with homework and course questions. The LA Zoom sessions link  and times are posted in Announcements on Canvas.

Textbook: Linear Algebra with applications, 9th edition,  by Steven J. Leon.  Publisher: Prentice Hall.  The material to be covered includes chapters 1( Matrices and systems of equations), 2(Determinants), 3(Vector spaces), 4(Linear mappings), 5(Orthogonality, 5.1 to 5.6), 6(Eigenvalues, 6.1, 6.3, 6.4).

Course description and purpose:  This course introduces students to linear algebra, which is the branch of mathematics dealing with techniques for solving linear systems. Many industrial and engineering problems can be reduced to solving linear systems of equations. This explains why it is important to learn techniques for solving such systems.

Course outcome:  After completing the course,  students should be able to:
                                i) solve linear systems using the Gauss or Gauss-Jordan reduction method,
                               ii) find the determinant,the rank and null space of a matrix, reduce a matrix to its LU form, find the inverse of a matrix
                              iii) prove that a given set endowed with appropriate operations is a vector space, prove that a given set is a vector subspace,prove that a mapping is linear
                              iv) find the kernel and range of a linear mapping; find transition matrices
                              vi) find least squares approximations  of  a set of data
                              vii)  find the eigenvalues and eigenvectors of a matrix, ...
                               

RECOMMENDED PROBLEMS : 1.1(1bc, 5cd, 6degh), 1.2(2cde,3bde,5dfgj,6b,8,10,12,13,14,19), 1.3(1bdef, 2ade,5c,6,9,10,15), 1.4(1-5,7,10,14-16,18,20,22-24,28,30,33-36), 1.5(1,3b,4c,5,6,8cd,10efg,12,16,17,18,27), 1.6(Reading), Chapter Test A.  2.1(1,3efg,5,6,8,10), 2.2(2,3df,4-7,12,13,14-16,20), 2.3(1,2cd,5,8,10-12,14), Chapter Test A. 3.1(3-10,15), 3.2(2,3,4bcd,5abc,12,13,19-22), 3.3(2,4,6,8,10,15,16-18), 3.4(3,4,5,7,13,14,16,18), 3.5(5,6,10), 3.6(1,4def,9-11,16,19,22,24), Chapter Test A.  4.1(2-4,7,8,10,15,16,17,19,23), 4.2(2,4,5,6,8,13,14,15,17), 4.3(2-5,7,9,11-13,15), Chapter Test A. 5.1(1,3,6,9,10,14), 5.2(1,3,4,6,8,13,17), 5.3(1,2,3,5,11,13), 5.4(3,4,7,8,18,32), 5.5(1,2,7,14-16,21,30,33), 5.6(1,2,5,7),  Chapter Test A.  6.1(1bfhil,2-4,6,8,9,14,17-19,21,26,32,33), 6.3(1bdef,2-4,6,9,10,12,13,18,19,22,2328,29), 6.4(1-5,6-9,15-17,21-23), Chapter Test A.
Each Chapter Test A is composed of true/false questions that test your knowledge of the material discussed in the chapter; I urge you to pay a special attention to all of them, and to do all the recommended problems. You may discuss your work with me, the LA or with other classmates.

Some old problems:    Assignment 1    Problem session-1    Proof-Th1.5.1(3)    Assignment1-key  Test1   Test1-key    Assignment 2    Asssignement 2-key  Test2  Test2-key    Assignment 3

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Should the course be on Zoom,  these are the extra class rules:

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 or Google Drive 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. Either 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 on Camscanner or + on Google Drive 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 04.
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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. This course involves a lot of proofs, and many students struggle with them.. However, if you put the necessary effort into it, then you'll succeed. 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 am 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 to not 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 doing the homework as we move along the sections, and by asking questions on concepts or homework problems that you do not understand. 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 wanted to check your answer, or you started but could not complete, etc...); 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. After a test, be sure to review your corrected copy and go over your mistakes with me, so that you do not make the same mistakes in subsequent exams. Do not wait until the eve of a test or due assignment to try to catch up on everything; it would be too late.

Always do your best. "Never do tomorrow what you can do today. Proscratination is the thief of time''.  Commitment +Effort=Success.


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 ( Tuesday April 20, 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 Scale:

00-49      F                      50-64   D                     65-69   C   
70-75     C+                    76-79    B-                   80-84   B
85-89     B+                    90-94   A-                   95-100  A

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: 
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.