Florida International University
                                                              13709 MAC 2313 (U07), Spring 2014
                                                               MULTIVARIABLE CALCULUS

Prerequisites: MAC 2311 and  MAC 2312, each with a grade C or better. This course assumes that you have a basic knowledge of  limit, differentiation, and integration rules.

Instructor: Dr. Tebou
E-mail: teboul@fiu.edu
Tel: (305) 348-2939
 Office hours: MF 11:00-11:50 AM,    W  9:00-9:50 AM
 Just drop by my office for hep, no appointment is needed.
Lectures: MF 10:00-10:50 AM
                 W   10:00-11:50   in GC 287A
Website: faculty.fiu.edu/~teboul/mac2313-sp14.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 0900-2000, F 0900-1700) ( 305 348 2441); ask for the mathematics tutors.  For more information about math help, click here. Additionally, Andrew Llodra  is our Learning Assistant, and he will be helping you with homework questions.

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 the 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: Multivariable Calculus, by Anton, Bivens, and Davis, 9th edition, John Wiley. The material I plan to cover includes all sections of chapters 11(Three-dimensional space, vectors), 12(Vector-valued functions), 13(Functions of several variables), 14(Multiple integrals), 15(Topics in vector calculus). The tentative order of material coverage is:  11(all), 13(all), 14(all),  15(all), 12(all). There are 40 sections; so we will try to  cover  two sections on Mondays as much as possible.

Review problems for Test 2:  13.9(6,8,9,11,12,17,18,24), 14.1(9,10,14,30,32,33), 14.2(6,8,16,18,21,25,49,53,54), 14.3(4,5,13,14,22,23,28,29,31), 14.4(3,5,9,19,25,26,40,43,45), 14.5(2,6,8,12,16,17,40ab), 14.6(2,11,12,15,16,19,20,28),  14.7(6,12,22,24,35,36,38,46), 14.8(20,34,35,36,37,38), 15.1(15,17,19,23,41,42,43,44), 15.2(15,16,18,21,24,30,42), 15.3(theorem 15.3.1, 3,4,5,12,13,16,23,24), 15.4(Green's theorem, 5,6,8,9,13,29), 15.5(1,4,5,8,20,23,30,33,36,37), 15.6(1,5,7,8,9,11,13,16,23,26). Do all the problems, and bring your questions in Monday 04/07/14.  Get prepared. (03/31/14)

Review problems for Test 1: 11.1(9,10,15,20,22,24,28,50), 11.2(8,17,19,22,24,56), 11.3(3,16,25,26,28,30,31,44), 11.4(10,11,13,16,26,34), 11.5(27,28,30,34,36,50,56), 11.6(12,14ac,16ab,18,26,32,34,38, Theorem 11.6.2 ), 11.7(1,2,3), 11.8(2ad,4cd,5bc,8ab,10ad,12cd,26,33,38,40), 13.1(2,6,14,21,22,60), 13.2(3,4,6,7b,8,14,17,18,24,26,44,47), 13.3(26,34,40,63,67,70,91a,92b,107), 13.4(definition of "f is differentiable at (c,d)", Theorem13.4.3, examples discussed in class, 12,15,38,47,48,52), 13.5(13,14,22,26,48,55), 13.6(16,18,28,34,40,53), 13.7(9,10,12,15,27,29), 13.8(10,12,16,20,25,26,28,35,38.) Do all the problems, and bring your questions at the review session Monday 02/17.  Get prepared. (2/10/2014)

Spring  14:  Quiz1-key   Quiz2-key   Quiz3-key   Test1-key   Quiz4-key   Quiz5-key   Quiz6-key   Test2-key

Review problems will be posted on this web page at least one week  before each in-class test

Fall 06:  Test 1 Test 2  Test 3 Test3-solution Test 1 soln Test 2 soln   Spring 08: Test 1  Test2  Test 3     Spring 12: Test 1  Test 2

RECOMMENDED PROBLEMS : 11.1(1,2,9,10,11,12,14,15,18,19to28,51,52,53,55), 11.2(4ad,5,8ac,10b,11,14bdf,15, 17to20,21,23,27,33,37,54,56), 11.3(1cd,3,7,8,9,10,13,15,24ac,25,26bc,28-31,41,43), 11.4(1,3,4,7ab,10,13to16,18,20,22,29,30), 11.5(1,3b,5b,11to14,17,18,19,23,26,27,28,30,31,33,49,55), 11.6(3,4,7,11,13,15,17,19,21to24,26,27,30,32,34,36,37,41,44,45,48; be able to derive the distance formula discussed),11.7(1,4,9acdef,47), 11.8(1ad,2cd,3b,4ad,5b,6b,7d,8b,9bd,10c,12d,20,21,22,24,29,31,33), 13.1(7,16,17b,19to22,44,47,57,59), 13.2(1,4,7,,9,12,13,15,,16,19,22,24,27,29-32,35,41,42,47), 13.3(1ab,2abde,3,5,14,15,16,19,21,23,33,39,61,63,65,67,69,71,74,91,92a,107,109), 13.4(3,6,8,10,11,13,15,16,18,27-30,33,35,39,40,43,47,51), 13.5(1,3,5,7,8,14,17,19,23,25,33,39,43,54,55,59), 13.6(9,15,23,27,34,40,42,73,,76), 13.7(1,5,8,11,16,22,24,27), 13.8(1b,2bc,3,9,11,13,17,25,26,28,30,31,33,35,37,39,44), 13.9(6,8,9,11,12,17,18,24). 14.1(4,6,9,11,14,16,29,33,35), 14.2(4,7,11,15,19,20,24,29,33to36,37,40,47,51,53,55), 14.3(2,4,5,10,11,15,16,22,24,25,28,29,31,33,41), 14.4(1, 3,5,9,13,19,21,23,25,30,32,39,41,42,45), 14.5(3,4,6,8,9,12,16,17,27,29,39), 14.6(1,2,9,11,14,15,17,19,28),  14.7(3,4,7,9,11,13,15,16,21,23,25,30,35,37,41,45), 14.8(2,3,13,15,19,23,25,31,34,38,39,41), 15.1(15,17,19,23,41,42,43,44), 15.2(7,8ad,10,11to14,16,19,20,23,26,29a,30b,31,33,39,43), 15.3(theorem 15.3.1(statement and proof), 3,4,5,7,8, 11,13,14,17,23,31,33), 15.4(Green's theorem, 1,3,4,9,11,12,15to18,21,25,29), 15.5(1,4,5,8,13,19,23,29,30,37), 15.6(1,5,7,8,9,11,13,16,23,26), 15.7(divergence theorem, 1,2,3,9,11,14,16,29,30,35), 15.8(Stokes theorem, 1,2,5,9,10,12), 12.1(2,3,10,12), 12.2(2,4,5,9,15,221,27,32,37,40), 12.3(2,7,9,15,26,30,33), 12.4(5,9,11,16,18,19), 12.5(5,9,15,16,23,27,30,39,45,47), 12.6(1,7,8,17,27,35,38,42), 12.7 (assigned reading). Be sure to review all those problems for the final exam. Good luck.

Solutions Manual (information on accessing this online book will be communicated in class.)

Recommendations: Begin to do your homework from today, January 06, 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. 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 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 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 that of the solution manual, 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 quiz or test to try to catch up on every thing; it would be too late. "Never do tomorrow what you can do today. Proscratination is the thief of time''.


Evaluation:
- Two in-class tests  (Wednesday Feb. 19; Wednesday  April 09)
-Six quizzes (W  Jan. 15,  W Jan. 29,  W  Feb. 12,  W  March 05,  W  March 19,  W April 02)
- Cumulative Final exam ( Monday April 21: 09:45-11:45 AM, same room)

The two in-class tests will make up 50% of the final grade while the  five best quizzes will account for 20% 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.  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. 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:

0-39      F                      40-49   D-                     50-54    D       55-59   D+
60-64   C                      65-69   C+                      70-74    B-     75-79   B
80-84   B+                    85-89  A-                       90-100  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 seven-eighths (7/8) of the course and must be passing with a grade of C or better.

Important Dates: 
March 17  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.
March 10-March 16: Spring break.