Numerical Analysis is a Math-205 Course. 




  My learned topics:  

Algebraic, Transcendental, and Simultaneous linear equations:

  • Cramer’s Rule
  • Gauss Elimination Method
  • Gauss Elimination Method with Pivoting
  • Gauss-Jordan Elimination Method
  • Iterative: Jacobi Method, Gauss-Seidel Method
  • False Position method (regula falsi method)
  • Bisection method 
  • Newton Repson Method

Interpolation

  • Newton’s forward
  • Newton's backward, 
  • Newton’s formula for the unequal interval (i.e. Newton’s divided difference interpolation)
  • Stirling’s formula.

Integration

  • Trapezoidal rule, 
  • Simpson’s 1/3, 
  • Simpson's 3/8 rule,
  • Weddle’s rule

Derivation General quadrature formula, deriving the above-mentioned rules.

Ordinary Differential Equation

  • Picard Method
  • Euler Method
  • Euler’s modified method
  • Runge Kutta method of order 2
  • Runge Kutta method of order 4
Curve Fitting or Regression Analysis
  • Multiple linear regression
  • Fitting a straight line
  • Fitting a polynomial function

Math Note File:  Math 205 Note File PDF. 


- "Thank You"