Florida International University
                                                              10682 MAC 2313 (U01), Spring 2011
                                                               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 the limit, differentiation, and integration rules.

Instructor: Dr. Tebou
E-mail: teboul@fiu.edu
Office: DM 413C
Telephone: (305) 348-2939
Office hours: MW 1200-1300,    F 13:00-14:00  ( Just drop by my office for help, no appointment is needed.)
Other times: by appointment only. (If you cannot make the office hours, you can e-mail or call me for another arrangement.)

Lectures: MW 1100-1150,  F 1100-1250 in  PCA 167

Free Tutoring: GL 120 (MTWR 0900-2000, F 0900-1700); ask for the mathematics tutors. Learning Assistant :  Jose Leason; he is available in the math department in front of DM 409A Tuesday from 0900-1200, then from 1530-1630, and Thursday from 0900-1200, then from 1730-1830.. For more information about math help, click here.

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: Calculus, Early Transcendentals, 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 Fridays as much as possible.

Website:http://www.fiu.edu/~teboul/mac2313-sp11.html

Review problems for Test 2: 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(3,5,9,19,25,26,40,41,45), 14.5(2,6,8,12,16,17,40ab), 14.6(2,11,12,15,16,19,20,28),  14.7(22,24,35,36,37,38), 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(statement and proof), 3,4,5,12,13,16,23,24), 15.4(Green's theorem, 5,6,8,9,13,29), 15.5(1,4,5,8,20,23,36,37), 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). Do all the problems, and bring your questions in next Wednesday.  Good luck. (04/07/2011

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,18,26,34,38), 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 in next Wednesday.  Good luck. (02/14/2011)

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


Spring 11: Quiz1-key   Quiz2-key   Quiz3-key  Test 1-key  Quiz4-key    Quiz5-key   Quiz6-key 
   Test2-key

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

RECOMMENDED PROBLEMS : 11.1(1,2,9,10,11,12,14,15,19to28,52,53,55), 11.2(4ad,5,8ac,10b,11,14bdf,15, 17to20,21,23,27,33,37,56), 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(3,4,7,11,13,15,17,19,21to24,26,27,36,37,41,44,45,48; 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(2,4,5,10,11,23,25,28,29,31,33,41), 14.4(1, 3,5,9,13,19,21,23,30,32,39,41,45), 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, 11,13,14,17,23,27,31,33), 15.4(Green's theorem, 1,3,4,9,11,12,15to18,21,25,29), 15.5(1,4,5,8,13,19,23,37), 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 10, till the last day of class. Set your goal for the class right from the beginning, and work tirelessly toward it; do not let anyone or anything divert you from your goal. Be focused on your studies, and you will succeed. Be sure to attend classes regularly, and to diligently deal with any questions or concerns you might have. Good luck.

Evaluation:
- Two in-class tests  (Friday Feb. 25; Friday  April 15)
-Six quizzes (F  Jan. 21,  Feb. 04, F  Feb. 18,  F  March 11,  F  March 25,  F April 08)
- Cumulative Final exam (Wednesday April 27: 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. 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, 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

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 04  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 14-March 19: Spring break.