MATH 4073 - Numerical Analysis I, Section 001 - Fall 2005
MWF 8:30 - 9:20 a.m., 356 PHSC *

Instructor: Nikola Petrov, 802 PHSC, (405)325-4316, npetrov AT math.ou.edu.

Office Hours: M & F 2-3 p.m., or by appointment.

Prerequisites: MATH 3113 (Intro to ODEs) or 3413 (Physical Math I).

Text: R. L. Burden, J. D. Faires. Numerical Analysis. 8th ed, Brooks/Cole, 2004, ISBN 0-534-39200-8.
The course will cover the major portions of Chapters 1-5.

Please turn in HW#12 IN CLASS on Friday, December 9!
I will give you solutions to HW#12 in class on the same day.

The final exam will be from 10:30 a.m. to 12:30 p.m. on Wednesday, December 14.

The final will be a cumulative closed-book, closed-notes exam.
You are allowed to bring three 8x11-in sheets of paper with useful info.
Write the expressions for the errors of the different methods in your formula sheet!
Include the Taylor expansions of sin, cos, exp and ln in your formula sheet!
Do not forget to bring your calculators!

To prepare for the exam, review your lecture notes and the book.
Also look at the two hour exams and the homeworks
(all homework solutions are deposited in the Math-Chemistry library).

Additional office hours: TBA.

Just for fun:

Homeworks (Solutions are posted after the due date in the Chemistry-Mathematics Library, 207 PHSC)

Content of the lectures:

Grading: Your grade will be determined by your performance on the following coursework:

Course Objectives:
This course is intended to be a mathematical introduction to the theory and practical use of certain basic numerical methods that often arise in applications. While the emphasis of the course will be placed solidly on applications, we will discuss some of the mathematical theory behind the methods we study. Some theoretical understanding is critical to the proper practice of numerical analysis because no numerical method works 100% of the time. Thus when a method fails, the theory behind the method can often illuminate what went wrong and perhaps give insights into alternative approaches that may work better for the given problem.

Course Content:

Attendance: You are required to attend class on those days when an examination is being given; attendance during other class periods is also strongly encouraged. You are fully responsible for the material covered in each class, whether or not you attend. Make-ups for missed exams will be given only if there is a compelling reason for the absence, which I know about beforehand and can document independently of your testimony (for example, via a note or phone call from a doctor, parent, or clergyman).

Homework: Homework assignments will be set regularly throughout the semester. Each homework will consist of several problems, of which some pseudo-randomly chosen problems will be graded. Your two lowest homework grades will be dropped. All hand-in assignments will carry a specific due date and must be submitted in class on the due date. If you cannot come to class, you can turn in your homework in my office no later than 2 p.m. on the same day (if I am not in my office, you can slip it in under the door). No late homeworks will be accepted.

  • Practice problems will not be collected for grading, but nevertheless their completion is essential for your full understanding of the course material.
  • Shortly after a homework assignment's due date, solutions to the problems from that assignment will be placed on restricted reserve in the Chemistry-Mathematics Library on the second floor of the Physical Sciences Center. All homework assignments will be posted on this page one week before the assignment is due

    Technology: Because this is a mathematics course, we will emphasize the mathematical underpinnings of numerical analysis and deliberately de-emphasize acquiring expertise in any particular computer programming language or software package. However, we will frequently engage in computations to illustrate the mathematical results that we derive. For all computations required on in-class exams and for most homework problems, a calculator will be sufficient. Even if the complexity of the numerical methods requires the use of a computer, the amount of programming you will need to do will be very small, and previous programming experience is not assumed. Moreover, the textbook comes with a CD-ROM which contains programs for all of the numerical algorithms developed in the textbook (written in Fortran, C, Maple, Mathematica, Pascal, and MATLAB); these programs are also available on the web at http://www.as.ysu.edu/~faires/Numerical-Analysis/DiskMaterial/index.html. In class I will use mainly MATLAB to illustrate how some algorithms are implemented. You, however, can use any of the alternative formats if you are more comfortable with them. MATLAB is available on many of the PCs in the University's computer labs, in particular, in the College of Arts and Sciences computer labs in the Physical Sciences Center (room 232) and in Dale Hall Tower; you can also purchase a student version of MATLAB to load on your own PC at the University Bookstore (the price is about $100), but please note that you are not required to buy it.

    Some Important Dates :

    1. Final Day to Register or Add a Class: Friday, August 26
    2. Last day to drop a class with a refund: Friday, September 2.
    3. Last day to drop a class without recorded grade: Friday, September 2.
    4. Last day to withdraw with an automatic W: Friday, September 30.
    5. Last day to withdraw with a W/F without permission of the Dean: Friday, December 9.

    Policy on W/I Grades : Through Friday, October 1, you can withdraw from the course with an automatic W. In addition, it is my policy to give any student a W grade, regardless of his/her performance in the course, through the extended drop period that ends on Friday, October 30. However, after October 30, you can only drop via petition to the Dean of your college. Such petitions are not often granted. Furthermore, even if the petition is granted, I will give you a grade of "Withdrawn Failing" if you are indeed failing at the time of your petition. Thus it is in your own best interest to drop the course on or before October 30 if you think there is a reasonable chance that you will not want to see the course through to the end.

    The grade of I (Incomplete) is not intended to serve as a benign substitute for the grade of F. I only give the I grade if a student has completed the majority of the work in the course (for example everything except the final exam), the coursework cannot be completed because of compelling and verifiable problem beyond the student's control, and the student expresses a clear intention of making up the missed work as soon as possible.

    Academic Misconduct: All cases of suspected academic misconduct will be referred to the Dean of the College of Arts and Sciences for prosecution under the University's Academic Misconduct Code. The penalties can be quite severe. Don't do it! For more details on the University's policies concerning academic misconduct click here.

    Students With Disabilities: The University of Oklahoma is committed to providing reasonable accommodation for all students with disabilities. Students with disabilities who require accommodations in this course are requested to speak with the instructor as early in the semester as possible. Students with disabilities must be registered with the Office of Disability Services prior to receiving accommodations in this course. The Office of Disability Services is located in Goddard Health Center, Suite 166: phone 405-325-3852 or TDD (only) 405-325-4173.

    Other course materials: