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Real Roots Part 2-Basic Mathematics-Assignment, Exercises of Mathematics

Prof. Karunashankar Sidhu gave this assignment at Institute of Mathematical Sciences for Basic Mathematics course. It includes: Polynomial, Newton, Iteration, Roots, Data, Table, Assignments, Derivative, Integral

Typology: Exercises

2011/2012

Uploaded on 08/03/2012

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Assignment # 2
MTH603 (Spring 2012)
Total marks: 10
Lecture # 23-28
Due date: 20-06-2012
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 # 23 to Lecture # 28.
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 3 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 3 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 Real Roots Part 2-Basic Mathematics-Assignment and more Exercises Mathematics in PDF only on Docsity!

Assignment # 2

MTH603 (Spring 2012)

Total marks: 10 Lecture # 23- Due date: 20-06-

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 # 23 to Lecture # 28.  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 3 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 3 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

A function y=f(x) is given by the following table.

x 321.0 322.8 324.2 325. f(x) 2.50651 2.50893 2.51081 2.

a) Construct the divided differences table for the above data. b) Find f(323.5) by Newton’s interpolation polynomial.

Question#2 Marks 10

Find

/ //

y (0.6) and y (0.6)from the following table,

x 0.4 0.5 0.6 0.7 0. y 1.5836494 1.7974426 2.0442376 2.3275054 2.

Question#3 Marks 10

Find

/ //

y (0.8) and y (0.8)from above table given in Question No.

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