Homework #1

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This homework must be submitted before 8th May 2018 11:55 pm. After this time no homework will be allowed.
Your codes must be yours. Any plagiarism will be penalized with negative marking.

 Lab work

 

Lab 1

  • Introduction to MAtlab
    • Some basic matlab with functions and plotting
    • GPA code

Lab 2

  • Using Excel for Numerical analysis
    • Graphing equations using excel
    • Bisection method using excel
    • False Position method using excel

// Home task
e^x using excel
Sin x using excel
Cos x using excel
Newton Raphson method using excel

Lab 3

  • Maclaurin series
    • e^x
    • Sin x
    • Cos x

Lab 4

  • Bracketing method
    • Bisection method
    • False Position method

Lab 5

  • Open methods
    • Fixed Point Iteration
    • Newton Raphson method
    • Secant method
    • Modified secant method

Lab 6

  • Trapezoidal rule
    • Single Application
    • Multiple Application
  • Simpsons 1/3 rule
    • Single Application
    • Multiple Application
  • Simpsons 3/8 rule
    • Single Application

Lab 7

  • Gauss-Seidel
  • Jacobi Iteration
  • Matrix usage using matlab
    • determinant
    • inverse
    • solving simultaneous equation in matlab using
      • inverse matrix
      • a\b
      • lu factorization

Homework

  • Naive gauss elimination
  • Gauss Jordan Method
  • polynomial deflation
  • mullers method
  • Cramers rule

Lab 8

  • Statistics in matlab
  • linear regression [Lecture 10 whole]

Homework

  • Newtons interpolating polynomial (Lecture 11)
  • 25.1.2 Algorithm for Euler’s Method [LAB]
  • 25.2.3 Computer Algorithms for Heun and Midpoint Methods [LAB]
  • 25.3.5 Computer Algorithms for Runge-Kutta Methods [LAB]

Lab 9

Review of all labs

 

Codes

Numerical Analysis LAB
https://github.com/shparvez001/sec-cse-608-2018
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