SE301: Introduction to Numerical Methods

Term 041     Section  9

Computer Assignment

Instructor:  Dr. Samir Al-Amer

E 301: Numerical Methods

Instructor: Dr. Samir Al-Amer    Section 9   Term  041  Assignment # 1

Due date : Oct 3,2,2004 (Sun)

Problem  1:

a)      Obtain the first five terms of the Taylor series expansion of

b)      Obtain a general expression of the Taylor series expansion

c)      How many terms are needed to obtain error less than

d)      For what range of  around the point of expansion can we obtain four decimal digits accuracy with four terms of the expansion.

Problem 2.

What is the least number of terms needed to compute  as 3.14 (rounded) using the series ?

Problem 3.

Determine the first three non-zero terms of the Taylor series expansion of the following functions:

a.  ,  point of expansion c=1

b. ,  point of expansion c=4.25

c. ,  point of expansion c=0.5

d. ,  point of expansion c=0.

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SE 301: Numerical Methods

Instructor: Dr. Samir Al-Amer    Section 9   Term  041  Assignment # 4

Due date : Sun 24, 2004

Problem 1:  Solve the following system using Naive Gaussian Elimination method.

Problem 2:  Solve the system of linear equations in problem 1 using Gaussian elimination with scaled partial pivoting.

Problem 3:  Solve the following system using the algorithm for Tridiagonal systems of equations.

SE 301: Numerical Methods

Instructor: Dr. Samir Al-Amer    Section 9   Term  041  Assignment # 6

Due date : Tue Nov 3 , 2004

Read Chapter 17  and solve the following problems

Problem 1: Use least squares regression to fit a straight line to the data.

 1 2 3 4 5 1.5 1.9 2.4 2.8 3.6

Problem 2: 17.8

Problem 2: 17.11

Problem 2: 17.12

Problem 2: 17.15