Yi WangMathematics & Data Science

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MATH 4210 — Syllabus

Auburn University at Montgomery

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MATH 4210/6210: REAL ANALYSIS, FALL 2010

Section A:  MW 10:50--12:05 (Goodwyn 222),   Course ID (CRN #):  2124/2125

 

INSTRUCTOR

Yi Wang, Ph.D., Associate Professor
Auburn University Montgomery

Department of Mathematics

School of Sciences

Room 310T, Goodwyn Hall

Email:  ywang2@aum.edu

Homepage: http://sciences.aum.edu/~ywang

Phone: 334.244.3318

Office Hours: MW:9:25--10:40am, or by appointment.

           

 PREREQUISITES: MATH 1620 ( Calculus II ) .

 

TEXT: R. G. Bartle and D. R. Sherbert, Introduction to Real Analysis, 3rd Ed., 2000, Wiley, ISBN: 0-471-32148-6.

 

CALCULATORS:  All students are required to have a graphing calculator; the TI-83 (TI-84) is recommended. Calculators  with a CAS are not admissible. Please bring the calculator to all class meetings and exams.

 

COURSE DESCRIPTION: The least upper bound axiom and order properties of the real line; sequences, series; continuous functions; fixed point theory. Emphasis is on the development of proofs by students.

 

COURSE OBJECTIVES:

We will presumably cover the following sections of this book:
Chapters 1--6.

 : This course will use BlackBoard http://bb.aum.edu. Syllabus, Class announcements, homework assignments, weekly schedule and updated grades will be posted on BlackBoard.  It is the students’ responsibility to check the information posted at BlackBoard. I will also post from time to time some studying resources such as old exams on BlackBoard.

 

HOMEWORK/QUIZZES/WORKSHEETS:  It is imperative that you do the homework. If you have trouble with the assigned problems (or any others in your book) then see me ASAP. Please work as many problems as you can (even beyond the assigned list if possible). The bottom line is that if you want to learn some mathematics, the only way to do this is by “getting your hands dirty” working problems.  The collected Homework/Quizzes/worksheets will be averaged for part of your final grade. Sometimes in-class Quiz will be given without notice in advance. All projects and homework problems are highly recommended to be completed using the standard mathematics editing package LATEX.  For information on installing free Latex package and related topics, visit for example http://sciences.aum.edu/~mragland/teaching/4950/.

 

LAST DAY TO  DROP/RESIGN FULL TERM CLASSES: Wednesday 10/27/2010.

 

EXAMS: There will be one in-class mid-term test and one final.  The final exam is comprehensive and is scheduled on Mon, Dec. 13, 2010, at 10:45--1:15am. Being absent from the Final Exam results in a grade of FA . You must prove to the instructor’s satisfaction that your absence was unavoidable, in order to take a makeup Final Exam.

 

GRADES: Here is a breakdown of the Homework/quizzes/worksheets/tests/final:

                                                     Projects…........50% 

                                                     Test 1…………20%

                                                     Final………..…20%

                                                    Attendance......10%

 

            If you get the following percentage you will receive

                                                        90-100………A

                                                        80-89………..B

                                                        70-79………..C

                                                        60-69………..D

 

Grades in the course will reflect students’ demonstrated attainment of course objectives. I reserve the right to adjust these ranges downward or make appropriate scaling if necessary because of excessive difficulty of assignments or tests. Borderline cases will be considered according to the attendance, grades of all three mid-exams and grade of the final.  

 

STUDYING RESOURCES:

  1. There are 30 class meetings (each of 75 minutes for lecture), plus the final exam period.

  2. FREE TUTORING HELP: Students can go to the Learning Center, 325 Moore Hall, 244-3470, for free tutoring help for this course by appointment.   Additional tutoring services are available in the Instructional Support Lab, 203 Goodwyn Hall, 244-3265.

 

SOME IMPORTANT POLICIES IN THIS CLASS: 

  1. ATTENDANCE is critical for this class. I will take attendance at every class.  A perfect attendance is equivalent to 10% of the overall score at the end of the semester (see the breakdown  of the grades). The attendance is absolute regardless of any excuse whatsoever, that is only physical attendance is counted. Leaving the class earlier without the permission of the instructor is considered as an absence. The attendance record will also be used as one of the factors to determine borderline grades. 

Attendance credit scale:

# of Attendance 30 27 26 25 24 23 22 21 20 19 <19
credit % 10 9 8 7 6 5 4 3 2 1 0

  1. There is absolutely no make-up for the homework/quizzes/worksheets. Late work passing the given deadline is not accepted.

  2. Missing test/exam: No make-up test/exam is allowed. A missing test/exam receives a grade of zero. No exam will be given earlier than the scheduled time.

  3. A reasonable excuse commonly  refers to an institutional excuse, a doctor-signed excuse, or an excuse signed by some authorized people. 

HOW TO SUCCEED THIS COURSE?

In addition to my effort, your efforts are indispensable. 

(1) Except extreme cases, attending class only is far less sufficient to succeed (pass? ) the course. Let alone occasionally attending class.

(2)  To get a grade C, one is advised to spend at least 1 hour (depending on your background in mathematics) for each lecture hour in reviewing the lecture notes, doing the examples in the lecture notes and in the book, and doing some homework problems.

(3) To get a grade B, one is advised to spend at least 1-2 hours for  each lecture hour in reviewing the lecture notes, doing the examples in the lecture notes and in the book, and doing most of the  homework problems.

(4) To get a grade A, one is advised to spend at least 1-3 hours for  each lecture hour in reviewing the lecture notes, doing the examples in the lecture notes and in the book, and doing almost all the  homework problems.

 

I would suggest you to write down your objective grade for this course, and commit your effort to this milestone of your life goal. Again, I wish you succeed.

My objective grade for this course is                         . I will commit         hours for each lecture hour to study the course materials. 

 

GUIDELINES OF HOW TO CALCULATE YOUR FINAL GRADE:

  1. The overall score is calculated according to the contributions from projects(50%), one mid-exam(20% each),  one final(20%), and attendance (10%).
  2. All raw scores are converted to percentage to participate in calculating and comparison. The maximum percentage is 100% for any given quiz or exam.
  3. A quiz in this syllabus refers to an on-line quiz, an in-class quiz, an attendance-taken, a collected homework, or a collected worksheet.
  4. A missed quiz is scored as 0 for that quiz.   Finally, the average percentage of all the quizzes are calculated for the points of the quiz part. 
  5. The percentage of the final is used to replace the worst percentage of the three mid-exams if it’s higher.

APPEALS: After final course grades have been submitted, you may appeal your final grade. As a first step, you would make a written appeal to the instructor of the course.

CLASS ATTENDANCE AND ENVIRONMENT: Perfect or near-perfect class attendance is important for students to gain and demonstrate competency in course concepts and skills. Students are expected to accept responsibility for class attendance and to complete in-class work assignments and examinations as scheduled by the instructor.

           Please be courteous to your fellow students and the instructor at all times. For example, do not converse with other students, read the newspaper, or sleep during the lecture. Do not pack up earlier than scheduled dismissing time.

Cell phones have to be set to silent (or preferably be turned off). If you have to answer a cell phone call during class, please quietly leave the classroom and move to a location where your conversation does not disrupt any class in progress.

Children should not be brought to class, except in emergency circumstances and only with the permission of the instructor.

Food, drinks, or gum should not be brought into the classroom.

AUM prohibits smoking in campus buildings. If you smoke, you may only do so outside the buildings.

PLAGIARISM: Plagiarism or cheating of any kind will not be tolerated. You can discuss solutions with classmates, but cannot copy (totally or partially) someone else’s solution or allow someone else to copy your solution. You will receive an ”F” in the course if you are caught.

DISCIPLINE AND ACADEMIC HONESTY. The policies of the Student Discipline Code apply. You are advised to familiarize yourself with these policies, which can be found in the current edition of the AUMANAC.  Please, adhere to the standards of academic integrity stated in the AUM Catalog.

SPECIAL SERVICES.
It is the policy of Auburn University Montgomery to accommodate individuals with disabilities pursuant to federal law and the University’s commitment to equal educational opportunities. It is the responsibility of the student to inform the instructor of any necessary accommodations at the beginning of the course. If you qualify for this service, please contact either the AUM’s Center for Disability Services (CDS) located in Library Tower, Room 706 (Phone: 334-244-3631, Fax:334-244-3907, TDD: 344-244-3754, email: cds@mail.aum.edu) or me for the corresponding referral.

COPYRIGHT NOTICE

Material presented in this course may be protected by copyright law.

            

Weekly Schedule for Math 4210/6210: Real Analysis Fall 2010

Office Hours: MW: 9:25--10:40am;  or by appointment.   
Note: This is only a guide as how the course should proceed. Changes might occur.

Section with an asterisk (*) is optional.

Week 1

 1. 08/16: 1.1
2. 08/18: 1.2.

Homework:  (self-studying) Appendix A: Logic and Proofs
1.1: 1,3(a),7,12,13,18,19.
1.2: 1,2,6,11,13,14,20.

Week 2

 3. 08/23: 1.3
4. 08/25   2.1
Project I
Homework:
1.3: 1,2(b),5,7,9,10.
2.1: 1 (a,b), 2(a,b), 3(a,b),6,13,16(a,b),20,23.

Week 3

 5.  08/30:  2.2
6. 09/01: 2.3 
Homework:
2.2: 1,4,5,6(a,b),9,12(a,b),15.
2.3: 1,2,5,6,8,9,11,12.

Week 4

      09/06:  Labor Day Holiday – No Classes 
7.  09/08:   Section: 2.4
Homework: 2.4: 1,2,4(b),6,7,9,12,13,14

Week 5

 8. 09/13:   2.5.
9. 09/15: 3.1
  • Project II
  • Homework:
    2.5: 3,4,5,6,7,8,10,11.
    3.1: 1,2(a,c), 3(b,d),5(b,d),6(a,c),8,10,13,14,15.

Week 6

 10. 09/20: 3.2
11. 09/22: 3.3
Homework:
3.2:1,3,5,7,9,10,11,12,13. 
3.3: 1,2,4,5,7,9,10.

Week 7

 12. 09/27:  3.4
13. 09/29: 3.5
  • Homework:
    3.4: 1,2,3,5,6,9,12. 
    3.5: 1,2,3,5,7,9,10.

Week 8

 14: 10/4:   3.6
15: 10/6: 3.7
  • Homework:
    3.6:1,2,3,5,8,9. 
    3.7: 1,2,3(a,b),3, 7,9,12,13,14(a,b).
  • Project III

Week 9

 16: 10/11: 4.1
17: 10/13: 4.2
  • Homework:
    4.1: 1,3,6,8,9,10(b,d),11(a,c),14. 
    4.2: 1,2,4,5,9,11,12.

Week 10
Midterm Test

 18: 10/18: Review for Test 1 on Monday
19: 10/20: Test 1 (chapters 1--3, 4.1--4.2 ) on Wednesday

Week 11

 20: 10/25: Sections 4.3
21: 10/27:  4.3
  • LAST DAY TO  DROP/RESIGN FULL TERM CLASSES: Wednesday 10/27/2010.
  • Project IV
  • Homework:
    4.3: 2,3,4,5(a,c,e,g),8,9.

Week 12

 22: 11/1:  5.1
23: 11/3: 5.2
  • Homework: 5.1: 1,3,4(a,b),5,7,11,12,13.
    5.2: 1,3,5,6,10,12,13.

Week 13

 24: 11/8:  5.3
25: 11/10: 5.4
  • Homework: 5.3: 1,3,5,6,7,8,10,13,15.
    5.4: 1,2,3,6,7,8,11,12,17.

Week 14

 26: 11/15:  5.5
27: 11/17: 5.6
  • Project V
  • Homework: 5.5: 1,2,4,6,7,9.
    5.6: 1,2,4,5,7,10,12.

Week 15
 
  • Thanksgiving Holiday, no class THIS WEEK.

Week 16

 28: 11/29: Section 6.1
29: 12/01: 6.2
  • Homework: 6.1: 1(a,b),2,4,5,9,11,13,15.
    6.2: 2(a,b),3(a,b),6,7,9,10,12,13,17. 

Week 17

 30. 12/06 : Sections 6.3, 6.4
  • Homework: 6.3: 1,2,4,6(a,b),7(a,b),8(a,b),9)a,b),12.
    6.4: 1,2,4,5,7,8,12,14(a,b),19,20,23. 
  • Project VI
  • Last day of class:  Mon., Dec. 06, 2010 for Monday/Wednesday classes.                            
    Tuesday, Dec. 07  for Tuesday/Thursday classes.
  • Final week begins on Thursday
Week 18
  • Final week
  • Final time: Monday, Dec. 13, 2010, at 10:45--1:15pm
  • GOOD LUCK ON THE FINAL AND HAVE A GREAT CHRISTMAS!!!

 
Last updated: 08/10/2010
 
 

 

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