MULTIVARIABLE CALCULUS

                                                               Florida International University
                                                              50683 MAC 2313 (U01C), Summer C 2021
                                                               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.

Note: This class is face to face. It is important that you attend all class meetings in order to keep up with the material discussed, and do well.

Instructor: Dr. Tebou
E-mail: teboul@fiu.edu
Tel: (305) 348-2939
Office hours: TR: 2:00-3:00 in DM 427
No appointment needed.
On zoom by appointment only

Lectures: TR 11:45:00am-1:55pm in DM 100

Website: faculty.fiu.edu/~teboul/mac2313-sumC21.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 a meeting on Zoom or in office.)

Free Tutoring: GL 120 (MTWR 0900-2000, F 0900-1700) Tel: 305-348-2441, phone and ask where the mathematics tutors are holding Zoom tutoring sessions for multivariable calculus. For more information about math help, click here.

Learning Sessions: Our learning assistant (LA) for this course is Laura Ahl. She will be helping you with practice problems. You will set learning sessions days and times with her when she comes to introduce herself.

Communication: If need be, I will communicate with you through your FIU email account, or through Canvas; so be sure to check those often. Should you have any comments or concerns about the course, be sure to communicate that to me as soon as possible, so that together, we can swiftly address them.

Attendance: It is mandatory to attend all class meetings; if you cannot attend at least 90% of class meetings, you're more likely to fail the course. Therefore, it would be better to officially disenroll now, and take it when you have time to attend class meetings. If you cannot attend a lecture, it is your responsibility to cover the missed material. Attendance is part of your course grade in order to encourage to come and keep up with the course.

Textbook: Briggs' Calculus, Early transcendentals, 3rd edition, by Briggs, Cochran, Gillett and Schulz. ISBN-13: 978-0-13-476364-4 ISBN-10: 0-13-476364-5.

The material that I plan to cover includes all sections of chapters 13(Three-dimensional space, vectors), 14(Vector-valued functions), 15(Functions of several variables), 16(Multiple integrals), 17(Topics in vector calculus). The tentative order of material coverage is: 13(all), 15(all), 16(all), 17(all), 14(all).
For a quick review of integration, click here For a quick review of algebra and trigonometry, click here

Class Rules:

1) When in class, all electronic devices must be off so that you can concentrate on what we are doing.
2) Class participation helps the overall class in the learning process; it is important to never come to class unprepared, and never sit idle. After each Thursday class meeting, you will have to do a participation problem on MyLab and Mastering. Those problems must be completed by the next Monday 6pm. That will count toward your participation grade.
3) Your FIU ID Card will be required for each test; so be sure to get one before our first test due June 15.

MyLab and Mastering: How to login to MyMathLab

Expectations: After completing Chapter

13. I expect you to be able to:
plot points in rectangular coordinates, recognize point coordinates on a box,
recognize the equation of a sphere, and solve basic problems involving spheres,
solve basic problems involving vectors, find the area of a parallelogram, the volume of a parallelepiped, solve basic problems involving planes and lines, recognize quadric surfaces through their equations, be able to draw rough sketch of quadric surfaces, solve basic problems involving cylindrical or spherical coordinates. 14. I expect you to be able to find the domain, and solve basic limits, continuity and integration prolems for vector-valued functions, find the arc length parameter, unit normal , tangent and binormal vectors on parametric curves, find the curvature of a curve, solve basic problems for motion along a curve. 15. I expect you to be able to describe in words and sketch the domain of a function of two or three
variables, solve basic problems involving
level curves and level surfaces, solve basic
problems involving limits and continuity for
functions with several variables, find partial derivatives, show that a function of two/three
variables is differentiable at a point, find
partial derivatives using the chain rule or implicit
partial differentiation, find gradients and directional derivatives, find tangent planes and normal
lines, solve basic optimization problems
using the second partials test or Lagrange multipliers.

16. I expect you to be able to evaluate simple double and triple integrals on rectangular regions
or with given integration limits, find the area of a described plane region or the volume of a described 3-dimensional region,
to solve basic integration problems involving polar, cylindrical or spherical coordinates, solve basic integration problems involving a change of variables.
Blank space.
17. I expect you to be able to solve basic problems
about vector fields, evaluate line integrals involving piecewise smooth curves, know the fundamental theorem of line integrals, show that a vector field is conservative and find corresponding potential functions, know Green's theorem, find surface areas and surface integrals, find the flux of a vector field across a given surface by using a surface integral or the divergence theorem, solve basic problems involving the Stokes' theorem.

Some old exams: 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

Recommendations: Begin to do your homework from today, May 11, 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, let alone one short term. 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 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 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 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 daily. 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. After a quiz or test has been graded, be sure to discuss your mistakes with me, so that you do not make the same mistakes in subsequent quizzes or tests. "Never do tomorrow what you can do today. Proscratination is the thief of time''. Always do your best, and there will be no sorrow afterward.

Evaluation:
- Attendance: 5% of course grade
- Class participation: 5% of course grade
- Weekly quizzes (May 20, May 27, June 03, June 10, June 24, July 01, July 08, July 22)
- Two in-class exams (Tuesday June 15, Tuesday July 13)
- Cumulative Final exam (Thursday July 29, same room )

Attendance and class participation account each for 5% of your course grade. The quizzes will make up 20% of your course grade, the exams 40%, and the cumulative final exam 30%. The two exams and the final exam will last the whole class time, while each quiz will last about 15 minutes. Once you start an exam or a quiz, you cannot leave the room until you're done. You will be required to produce a photo ID before taking any of the exams. No electronic devices 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. To qualify for a make up exam, you must demonstrate through proper documentation that missing the exam was due to events out of your control. If you do not qualify for an exam make up, then you'll get a zero for that exam.

Grading Scale:

00-49    F                      50-64    D       65-69 C
70-74 C+                    75-79    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 all assignments except for the final exam, and must be passing with a grade of C or better.

Important Dates:
June 28 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.
May 31: Memorial Day (University closed), and July 04: Independance Day (University closed).

Disclaimer: The instructor reserves the right to modify this syllabus, should the need arises during the semester.

Instructor: Dr. Tebou E-mail: teboul@fiu.edu	Tel: (305) 348-2939	Office hours: TR: 2:00-3:00 in DM 427 No appointment needed. On zoom by appointment only
Lectures: TR 11:45:00am-1:55pm in DM 100 Website: faculty.fiu.edu/~teboul/mac2313-sumC21.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 a meeting on Zoom or in office.)

13. I expect you to be able to: plot points in rectangular coordinates, recognize point coordinates on a box, recognize the equation of a sphere, and solve basic problems involving spheres, solve basic problems involving vectors, find the area of a parallelogram, the volume of a parallelepiped, solve basic problems involving planes and lines, recognize quadric surfaces through their equations, be able to draw rough sketch of quadric surfaces, solve basic problems involving cylindrical or spherical coordinates.	14. I expect you to be able to find the domain, and solve basic limits, continuity and integration prolems for vector-valued functions, find the arc length parameter, unit normal , tangent and binormal vectors on parametric curves, find the curvature of a curve, solve basic problems for motion along a curve.	15. I expect you to be able to describe in words and sketch the domain of a function of two or three variables, solve basic problems involving level curves and level surfaces, solve basic problems involving limits and continuity for functions with several variables, find partial derivatives, show that a function of two/three variables is differentiable at a point, find partial derivatives using the chain rule or implicit partial differentiation, find gradients and directional derivatives, find tangent planes and normal lines, solve basic optimization problems using the second partials test or Lagrange multipliers.
16. I expect you to be able to evaluate simple double and triple integrals on rectangular regions or with given integration limits, find the area of a described plane region or the volume of a described 3-dimensional region, to solve basic integration problems involving polar, cylindrical or spherical coordinates, solve basic integration problems involving a change of variables.	Blank space.	17. I expect you to be able to solve basic problems about vector fields, evaluate line integrals involving piecewise smooth curves, know the fundamental theorem of line integrals, show that a vector field is conservative and find corresponding potential functions, know Green's theorem, find surface areas and surface integrals, find the flux of a vector field across a given surface by using a surface integral or the divergence theorem, solve basic problems involving the Stokes' theorem.