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MTH603 Assignment for Spring 2012: Root Finding Methods, Exercises of Mathematics

Information about an assignment for the mth603 course in spring 2012. The assignment involves finding the roots of given equations using various methods such as bisection, regula-fasli, and newton-raphson. Students are required to perform a specific number of iterations and submit their solutions in a ms word document through the lms system. The document also includes instructions on the due date, allowed formats, and academic integrity.

Typology: Exercises

2011/2012

Uploaded on 08/03/2012

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Assignment # 1
MTH603 (Spring 2012)
Total marks: 10
Lecture # 01-08
Due date: 15-04-2012
DON’T MISS THESE Important instructions:
Upload assignments properly through LMS only, (No Assignment will be
accepted through email).
All students are directed to use the font and style of text as is used in this
document.
In order to attempt this assignment you should have full command on
Lecture # 01 to Lecture # 08.
This is an individual assignment, not group assignment, so keep in mind that you
are supposed to submit your own, self made & different assignment even if you
discuss the questions with your class fellows. All similar assignments (even with
some meaningless modifications) will be awarded zero marks and no excuse will
be accepted. This is your responsibility to keep your assignment safe from others.
Above all instructions are for all assignments so may not be mentioned in future.
There are 4 questions in the assignment but only one question will be
graded. However we are not mentioning that which question will be graded so
you have to provide the solution of all 4 questions.
Solve the assignment on MS word document and upload your word (.doc) files only. Do
not solve the assignment on MS excel. If we get any assignment on MS excel or any
format other than word file then it will not be graded.
Assignments through e-mail are not acceptable after due date (If there is any
problem in submitting your assignment through LMS, you can send your solution
file through email with in due date). You are advised to upload your assignment
at least two days before Due date.
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Download MTH603 Assignment for Spring 2012: Root Finding Methods and more Exercises Mathematics in PDF only on Docsity!

Assignment # 1

MTH603 (Spring 2012)

Total marks: 10 Lecture # 01- Due date: 15-04-

DON’T MISS THESE Important instructions:

 Upload assignments properly through LMS only, (No Assignment will be accepted through email).  All students are directed to use the font and style of text as is used in this document.  In order to attempt this assignment you should have full command on Lecture # 01 to Lecture # 08.  This is an individual assignment, not group assignment, so keep in mind that you are supposed to submit your own, self made & different assignment even if you discuss the questions with your class fellows. All similar assignments (even with some meaningless modifications) will be awarded zero marks and no excuse will be accepted. This is your responsibility to keep your assignment safe from others.  Above all instructions are for all assignments so may not be mentioned in future.

 There are 4 questions in the assignment but only one question will be

graded. However we are not mentioning that which question will be graded so you have to provide the solution of all 4 questions.  Solve the assignment on MS word document and upload your word (.doc) files only. Do not solve the assignment on MS excel. If we get any assignment on MS excel or any format other than word file then it will not be graded.  Assignments through e-mail are not acceptable after due date (If there is any problem in submitting your assignment through LMS, you can send your solution file through email with in due date). You are advised to upload your assignment at least two days before Due date.

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Question#1 Marks 10

Find the real root of the equation 2 x^3  x  2  0 correct to three decimal places by Bisection method. Perform three iterations only.

Note: Take any interval in which roots of the equation lie.

Question#2 Marks 10

Use Regula-Fasli method to find the real root of the equation ex  3 x  0 Correct to four decimal places after three successive approximations in 0  x  1

Note: All the calculation should be done in the radian mode only.

Question#3 Marks 10

Apply Newton-Raphson method to determine a root of the equation e x  10  x.

Correct to four decimal places. Only three iterations needed.

Note: All the calculation should be done in the radian mode only.

Question#4 Marks 10

Find the root of the equation f ( ) x  cos xx  0 correct to five decimal places by Secant

Method.

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