Blog: MTH603 Assignment No. 1 Spring 2013

Assignment #  1

MTH603 (Spring 2013)

          

             Total marks: 10

             Lecture # 01-08  

          Due date: 03-05-2013   

 DON’T MISS THESE Important instructions:

• 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.

       In case the student has not solved that question which is set to be  

marked, he/she will be graded zero marks. For example if it is decided at  

instructor’s end that question # 2 is set for marking and student has solved  

other questions but not question # 2 then marks awarded will be zero. So

students have to provide solution of all 4 questions.

• 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.
• 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.

Question#1                                                                                            Marks 10

Find the real solution (root) of the equation   x³ - 3x - 5 = 0 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 solution (root) of the equation x³ - sin x + 1 = 0

Correct to four decimal places after three successive approximations in (-2,-1).

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

Question#3                                                                                             Marks 10

Apply Newton-Raphson method to determine solution (root) of the equation cos x =  x e^x - sin x.

Correct to three decimal places using the initial approximation. x₀ = 1

Only three iterations needed.

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

Question#4                                                                                             Marks 10

Find the solution (root) correct to 4 decimal places of the equation x² +10cos x=0  using Secant Method.

Note: Take any interval in which roots of the equation lie and all the calculation should  

           be done in the radian mode only.