Florida International University
83405  MAA 4211, Fall 2020
ADVANCED CALCULUS
 
 
 

Prerequisites: MAC 2313(Calculus III), MAS 3105(Linear Algebra), MAA 3200(Introduction to Advanced Mathematics).

Instructor: Dr. Tebou
E-mail: teboul@fiu.edu
Office: DM 427
Telephone: (305) 348-2939
Office hours: TR 3:20-4:20 on Zoom

Lectures: TR 2:00-3:15 on Zoom.

Course Homepage: faculty.fiu.edu/~teboul/maa4211-F20.html

Note:  Please, be reminded that this is a remote learning setup, and not an online one. So your attendance and class  participation  are highly expected.
           You will need a working laptop with a webcam, and a good internet connection throughout the semester.

Textbook: Fourth edition of An introduction to  Analysis by W.R. Wade, published by Pearson/Prentice Hall. The material I plan to cover includes 1-2(review of proofs,  fundamental axioms of R, and sequences),  3(3.1-3.4 continuity and uniform continuity), 4(4.1-4.5; differentiability on R and applications), 5(Chap 6 in Rudin's book; Riemann-Stieltjes integral), 6(6.1-6.4; infinite series of real numbers), 7(7.1-7.5; sequences and series of functions), 8(8.1-8.4; topology of Rn).

Recommended problems: 1-2: 1.2(0,3,4ce,7,9c), 1.3(0,1,4,6,8,10), 1.4(0,1ab,2,4), 1.5(0,1ab,4), 2.1(0,1ad,2bc,3-5,7), 2.2(0,1acd,2bd,3acd,4-6), 2.3(0,1,2,3,6-8,10), 2.4(0,1-4,6,8), 2.5(1,2,4), 3.1(0,1,2,3bcd,4,6,7), 3.2(0,1ade,2,4,5,7,8), 3.3(0-7, except 6,10), 3.4(0,1,2ad,3,4b,5);  4.1(0,1,2a,4,5,7,8), 4.2(0bcd,1,2,5,6,7a,9vi),  4.3(0-6), 4.4(0,1ab,2ab,4,4,5bcdeg,7), 4.5(0-4,8,9); 5(chp6 in Rudin's book, 1,2,4,5,8,9,10,13,15,16), 6.1(0,1ad,2bcd,3,4,6,7,9-11), 6.2(0,1bcdf,2cd,4,5), 6.3(0,1ad,2def,3acde,4,5,9), 6.4(0,1,2cd,3bce,4,5,8), 6.5(1,2,3cd), 6.6(2,3,4,5).


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. 

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 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 September 25.

Evaluation:

- Three in-class tests ( Thursday Sept 24; Thursday October 22; Thursday November 19.)
- Six quizzes (Th Sept 3, Th Sept 17, Th Oct 1, Th Oct 15, Th Oct 29, Th Nov 12.)
- Cumulative Final exam (Tuesday December 8, 2020, 2:15:00-4:15 on Zoom.)
- Attendance 5% and Participation 5%.

The three in-class tests will make up 45% of the final grade, while attendance and class participation account for 5% each. The final exam will be worth 30%. The six quizzes will make up the remaining 15% of the grade.
There will be no make-up for missed tests. If you miss a test and you produce a doctor certificate indicating that you were sick and unable to write the test, then the corresponding grade will be added to the final exam grade, otherwise, a zero will be recorded for any missed test/quiz/participation. Invest yourself in the homework, and participation problems, so that you can be fully prepared for all exams, and other advanced analysis classes in the future.

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

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

Important Dates

November 2 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  September 7 for Labor Day, Wednesday November 11 for Veterans Day holiday, and November 26-27 for Thanksgiving.