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MCS-44 mini project or Project Synopsis hello friend any one need MCS-44 mini project synopsis on WebApplication like WEB DEVELOPMENT PROJECTS Here, we will focus on investigating new ideas in application development through different projects. A set of possible project name and their details will be presented, however, students are encouraged to be creative and develop their own ideas in the given project descriptions.  1) Project Name: Online Appointment Management   Description                          A hospital provides health care appointment facility through an online portal. You can book an OPD appointment of a Doctor at the time s/he is available in the hospital. You can also book for an Appointment for a Diagnostic Test. In order to do so, a patient first needs to register for the website. Registration process involves recording patient name, address, blood group, past medi...
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MCSE-004 Numerical and Statistical Computing – Solved Assignment 2017-2018

MCSE-004 

Numerical and Statistical Computing

 Solved Assignment 2017-2018

This assignment has eight questions in all, each question carries 10 marks. The rest of the 20 marks are for viva-voice. Answer all the questions. You may use illustrations and diagrams to enhance the explanations. Please go through the guidelines regarding assignments given in the Programme Guide for the format of presentation.
  1. How Error differs from Uncertainty. Briefly discuss the classification of errors. If π =22/7 , is approximated as 3.14, find the absolute error relative error and relative percentage error. Explain the term Accuracy and Precision with suitable example.
  2. Write a short note on Secant method, Regula Falsi method and the Newton Raphson method and further discuss their relative advantages and disadvantages. Determine the efficiency or the order of these three methods? Using Secant method, Regula Falsi method and the Newton Raphson method, find the real-root of the equation X 3 – X2 – 2 = 0
  3. Perform the Following:
    • Solve the following systems of equations
      2X + 8 Y –2 Z = -10; X + Y – 6 Z = -12; 6 X – 2Y – 2Z = -18
      1. Using the Gauss elimination method.
      2. Using LU Decomposition method.
      3. Discuss the pitfalls of Gauss Elimination method.
    • Solve the following system of equations: x + y – 2 = 0 ; – x + 3 y = 2; x – 2z = – 3 Using Jacobi Method and Gauss Seidel method. Assume the initial solution vector [0.8 0.8 2.1]T .
  4. Perform the Following:
    • Find Newtons Forward Difference interpolating Polynomial for the following data X : 0.1 0.2 0.3 0.4 0.5 F(X) : 1.40 1.56 1.76 2.00 2.28
    • Estimate the missing term in the following data, using Difference table x : 1 2 3 4 5 f(x) : 3 7 ? 21 31
  5. Perform the Following:
    • Calculate the value of integral I = ∫ + 6 4 2x 3 by h=0.5 ; by Using
      1. Simpson 3/8 rule
      2. Weddle’s rule
      3. Simpson 1/3 rule
      4. Trapezoidal rule
    • Compute the integral ∫ + = 2 1 2 1 2 dx x x I by applying Gauss’s Quadrature formula.
  6. Perform the Following:
    • Estimate Y(0.4) by the Classical Runge-Kutta method when Y¢ (x)=X2 +Y2 , Y(0)=0 & h = 0.2.
    • Given ; with initial condition y=1 at x=0. Find y approximately at x=0.1; using Euler’s Method c)
    • Solve the given Differential Equation ; with initial condition y(0)=1. Using Fourth Order Runge-Kutta method from t=0 to t=0.4 taking h=0.1
  7. Perform the Following:
    • If a bank receives on an average λ=6 bad cheques per day what is the probability that it will receive 4 bad cheques on any given day.
    • A farmer buys a quantity of cabbage seeds from a company that claims that approximately 90% of the seeds will germinate if planted properly. If four seeds are planted, what is the probability that exactly two will germinate.
  8. Perform the Following:
    • What is the utility of residual plot ? what are its disadvantages ?
    • Given Equations of two lines of regression are : 4x + 3y+ 7 = 0 and 3x+4y + 8 = 0 . Find:
      1. mean of x and mean of y
      2. Regression coefficient of byx, and bxy
      3. Correlation coefficient between x and  

 

 

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