Numerical Analysis

Dr. Abdul Hassen

Office:      Mathematics Department,  2nd Floor Robinson Hall, 

Phone      (856) 256-4500 ext 3888. e-mail:  hassen@rowan.edu

Office Hours: M 5:30 – 6:20 p.m., TR 6:30 – 7:30 and by appointment.

Prerequisite:    1701.210 Linear Algebra, 1701.231 Ordinary Differential Equations (or concurrently) and prior computer programming experience

Text:      Atkinson and Han,   Elementary Numerical Analysis, 3rd Edition, Published by Wiley. 

Catalog Description:     This course includes: elements of error analysis, real roots of an equation, polynomial approximation by finite difference and least square methods, interpolation, quadrature, numerical solution of ordinary differential equations, and numerical solutions of systems of linear equations.  The student should expect to program a computer in addition to using a graphing calculator.

Objective:       The purpose of numerical analysis is two-fold: (1) to find acceptable approximate solutions when exact solutions are either impossible or so arduous and time-consuming as to be impractical, and (2) to devise alternate methods of solution better suited to the capabilities of computers.

While this course will involve the student in considerable computation in order to apply techniques and obtain acceptable answers, the main emphasis will be on the underlying theory.  It will be necessary to draw upon a good bit of calculus, linear algebra, computer science and other branches of mathematics during the course.

 

Content:  We will cover the following sections from the text book. (The links are for lecture notes)

Chapter 1                     Taylor Polynomials (Lecture Notes PDF file, Power Point Presentation)

                                    Sections 1 and 2

Chapter 2                     Error and Computer Arithmetic (Lecture Notes PDF file, Power Point Presentation)

                                    Section 1 to 3

Chapter 3                     Root Finding (Lecture Note: PDF File , Power Point)

                                    All sections will be covered

Chapter 4                     Interpolation and Approximation  (Lecture Note: PDF File Part I PDF File Part II , Power Point Part I , Power Point Part II)

 

                                    All sections

Chapter 5                     Numerical Integration and Differentiation

                                    All sections will be covered

Chapter 6                    Solution of Systems of Linear Equations

                                    All sections

Chapter 8                     Ordinary Differential Equations

                                    All sections

Chapter 9                     Finite Difference Method for PDE

                                    All sections                        

Grading Policy: Students will be graded based on three tests (70% of the total grade), projects (10% of the total grade), and assignments (20% of the total grade). The dates for the tests will be announced in class at least a week in advance. The four tests will cover the following sections from the textbook.

Test 1:  (25% of total grades) covers chapters 1, 2, and 3.

Test 2:  (25% of total grades) covers chapters 4 and 5

Test 3:  (20% of total grades) covers chapter 6 to 9.

 Numerical grades will be converted to letter grades by the following scale.

A (-)= 90 to 100, B(-,+)= 80 to 89, C(-,+)= 70 to 79, D(-,+)= 60 to 69, F= 0 to 59

 Attendance: Students are expected to attend all classes and be on time. If you miss a class, it is your responsibility to study the section(s) covered and do the homework. If you are absent the day of a regularly scheduled test, a grade of zero is automatically recorded as your test score. You will be permitted to make up this zero only when you can confirm that you were absent for reasons beyond your control. In such cases, you must phone 256 - 4500 extension 3888 and leave a message for me including your name and phone number, the reason for your absence and the date you anticipate returning. Students who fail to leave the above information will be assigned the grade of zero for that test.

PASS NO CREDIT OPTION: There is no such option for this course. The grades I assign are A, B , C, D, F.

Cheating: Cheating on a test or assignment seriously undermines the integrity of the academic system and will not be tolerated. If I determine that a student has cheated, I will assign the grade of F for this course and send a letter to this effect to his advisor. Even though a student is not cheating, he or she is expected to refrain from actions which could be suspicious. Using common sense on your part should avoid unnecessary embarrassment.

Questions and Answers: The best time to ask questions is during class. Many times students fear that their questions will seem foolish, while in fact, many others also have the same question. I urge you to ask your questions during class. If you have questions that were not answered in class, you may stop by my office during the following office hours.

HOMEWORK      These will be given in class and the due dates will be announced. I suggest that you get a separate notebook for homework assignments. 


Please send your comments hassen@rowan.edu

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This page was last updated on 01/12/07