MATH4600A/6600A: Numerical Analysis I, FALL  2016

Section AMW 09:25--10:40am (Goodwyn 317),   Course ID (CRN #):  1274 (MATH4600A)  1275 (MATH 6600A)

 

INSTRUCTOR

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

Department of Mathematics and Computer Science

College of Arts and Sciences

Room 310R, Goodwyn Hall

Email:  ywang2@aum.edu

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

Phone: 334.244.3318

Office Hours @310R: MW:10:40--12:00, 2:00--2:40, or by appointment.  

           

 PREREQUISITES: MATH 2660 (Linear Algebra)

 

TEXT: R.R. Burden and J.D. Faires (10th ed.)   2016. Numerical Analysis, 10th ed. Brooks and Cole. ISBN-10: 1305253663 | ISBN-13: 9781305253667.

  

COURSE DESCRIPTION:

Number systems and error propagation, solutions of nonlinear equations, acceleration of convergence, polynomial and spline interpolation, numerical integration and differentiation, efficient direct solution of systems of linear equations, PLU factorization of matrices and matrix norms and condition numbers. Prerequisite MATH 2660.

This course will use Blackboard http://bb9.aum.edu. Syllabus, Class announcements, homework assignments, weekly schedule and updated grades will be posted on Blackboard. On-line quizzes within BlackBoard may be offered. It is the students’ responsibility to check the information posted on 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 and programming, 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. The submission time for homework will be announced in-class. You will need to use a programming language or a CAS to complete your homework assignments, such as C++, MATLAB, MAPLE, etc. MATLAB and MAPLE and not free, but are equipped in the computers in the computer lab. Their student versions are very reasonable to purchase. You may download a matlab-like free CAS called octave. Thanks to Microsoft, the Microsoft visual studio is free which was very expensive. It can be downloaded from its website. I will assume you possess certain kind of ability to write computer codes, or you have to learn it yourself. Luckily, it's pretty easy to learn.

 

EXAMS: There are one in-class mid-term test and one final.   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 points of Homework/quizzes/worksheets/tests/final:

                                        Homework Assignments…....500

                                        Midterm Test………..........…200

                                        Final………..........................300

                                        Total points:                        1000
          

To pass this course at least 300 points (60% credit)   is required out of the homework assignments.            

For MATH4600 students, if you get the following percentage and at least 300 points out of the homework assignments you will receive

                                                        >=90……..................A

                                                        >=80 and <90………..B

                                                        >=70 and <80………..C

                                                        >=60 and <70………..D

                                                        <60...........................F   

For MATH6600 students, if you get the following percentage and at least 350 points out of the programming assignments you will receive

                                                        >=92……...................A

                                                        >=82 and <92………..B

                                                        >=72 and <82………..C

                                                        >=62 and <72………..D

                                                        <62...........................F   

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 due to excessive difficulty of assignments or tests. Borderline cases  will be considered according to the attendance, grades of all  mid-exams and grade of the final by the sole discretion of the instructor.   

 

STUDYING RESOURCES:

  • There are 28 class meetings (each of 100 minutes) , plus the final exam period .

  • Free Academic Support: All students have the opportunity to receive free academic support at AUM. Visit the Learning Center (LC) in the WASC on second floor Library or the Instructional Support Lab (ISL) in 203 Goodwyn Hall. The LC.ISL offers writing consulting as well as tutoring in almost every class through graduate school. The LC may be reached at 244-3470 (call or walk-in for a session), and the ISL may be reached at 244-3265. ISL tutoring is first-come-first served. Current operating hours can be found at www.aum.edu/learningcenter.                                                    

SOME IMPORTANT POLICIES IN THIS CLASS: 

  1. ATTENDANCE is critical for this class. I will take attendance at every class.   However no grades will be given toward attendance. You must be present to take all exams.    Leaving the class earlier without the permission of the instructor is considered as an absence. The attendance record may be used as one of the factors to determine borderline grades. 

  2.  
  3. There is absolutely no make-up for the homework/quizzes/worksheets. Late work passing the given deadline is not accepted. 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. 

  4.  

  5. Exceptions only are made at the sole decision of the instructor for reasonable excuse.  A reasonable excuse commonly  refers to an institutional excuse, a doctor-signed excuse, or an excuse signed by some authorized people.

       I do NOT give any extra credits whatsoever.  Every student in the class are evaluated by the above  grading policy.

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.

 

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. All raw scores are converted to percentage to participate in calculating and comparison. The maximum percentage is 100% for any given assignment or exam.
  2. Quizzes given in class will be considered as part of the homework assignments. A quiz in this syllabus refers to an in-class quiz, an attendance-taken, a collected homework, or a collected worksheet.
  3. 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. 

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. Please do not use your smartphone in class.

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.  A warning will be issued to both parties if  two highly similar or identical codes are found at the discretion of the instructor and the grade zero will be assigned to both parties for that project/homework. A second time violation of this rule will be referred to the office and a "F" will be assigned to both parties.

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.

DISABILITY ACCOMMODATIONS: Students who need accommodations are asked to arrange a meeting during office hours to discuss your accommodations. If you have a conflict with my office hours, an alternate time can be arranged. To set up this meeting, please contact me by e-mail. If you have not registered for accommodation services through the Center for Disability Services (CDS), but need accommodations, make an appointment with CDS, 147 Taylor Center, or call 334-244-3631 or e-mail CDS at cds@aum.edu.

COPYRIGHT NOTICE

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

 

Disclaimer: The right of interpreting  this syllabus exclusively belongs to the instructor.

            

Weekly Schedule for MATH4600/6600-Numerical Analysis, FALL 2016

Office Hours @310R: MW:10:40--12:00, 2:00--2:40, 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. 8/15: 1.1. HW: 1a, 3a, 5a, 7a, 11.
2.
8/17: 1.2:  1a, 3a, 5a, 6a

Week 2

3. 8/22: 1.3: 1a, 3a, 6a
4.
8/24:  1.4         

Week 3

5. 8/29:  2.1: write your own code (Alg2.1) to solve prob. 16. Tabulate your results similar to Table 2.1.
6.
8/31: 2.2: 1a, 2a, 3, 7.

Week 4

    09/05: Labor Day's Holiday, No classes
    09/06: Holiday, No classes

7. 09/07:  2.3: 11 (write your own code to solve it, tabulate the results)

Week 5

8. 09/12: 2.4: 8, 10.
9.
09/14: 2.5: 11(a) (write your own code to solve 11(a).

Week 6
 

10. 09/19:  2.6: 1a, (write your own code usign Muller's method)
  • Project 1:
11: 09/21:   3.1: 1a

Week 7

12: 09/26:  3.2: 3a.
13.
09/28:  3.3: 9(a)(b)(c)

Week 8

14: 10/03:  3.4:  7.
15.
10/05:  3.5: 4c, 12.

Week 9

16: 10/10:  3.6: 1a.
  • Project 2:
17: 10/12: Midterm
     
Fri. Oct.  14: Mid-semester Grades Due  

Week 10

18: 10/17: 4.1: 5a  4.2: 5    
19. 10/19: 4.3: 13, 19
Last day to drop/resign classes: Fri., 10/21

Week 11

20. 10/24: 4.4: 9, 11b.
21
: 10/26: 4.5: 7

Week 12

22: 10/31: 4.6: 13
23:
11/02: 4.7: 2a, 11

Week 13

24: 11/07: 4.8: 1a, 2a
25. 
11/09: 4.9: 1a, 3a

Week 14

26. 11/14:  6.1: 6b (in-class course evaluation in the first 15 minutes)
27:
11/16:  6.2: 12a, 14a, 18a, 22a
                 6.3: 2a, 4a, 6a

Week 15

11/21--11/25: thanks-giving break, no classes.

Week 16

 28: 11/28:  6.4: 2a, 6a
                  6.5: 6a, 10a
                  6.6: 2, 4a, 6a, 12a, 16.
  • Last day of class:  Mon., Nov. 28, 2016 for Monday/Wednesday classes.                            
    Tuesday, Nov. 29  for Tuesday/Thursday classes.
  • Final week begins on Thursday, Dec. 01

Week 17

  • Final week
  • Final Exam time: Wed. Dec. 07, 2016, at 08:00--10:30am
  • GOOD LUCK ON THE FINAL AND HAVE A GREAT WINTER BREAK!!!

Last updated: 08/15/2016