Engineering Numerical Methods

Topics Covered in This Course:
  In Section 1 of this course you will cover these topics:
    An essay on numerical methods
    Numbers
    Function evaluation
    Real zeros
  In Section 2 of this course you will cover these topics:
    Complex zeros
    Zeros of polynomials
    Linear equations and matrix inversion
    Random numbers
  In Section 3 of this exam you will be evaluated on below listed topics:
    The difference calculus
    Roundoff
    The summation calculus
    Infinite series
    Difference equations
  In Section 4 of this course you will cover these topics:
    Polynomial interpolation
    Formulas using function values
    Error terms
    Formulas using derivatives
    Formulas using differences
    Formulas using the sample points as parameters
  In Section 5 of this course you will cover these topics:
    Composite formulas
    Indefinite integrals-feedback
    Introduction to differential equations
    A general theory of predictor-corrector methods
    Special methods of integrating ordinary differential equations
    Least squares: practice theory
    Orthogonal functions
    Least squares: practice
    Chebyshev approximation: theory
    Chebyshev approximation: practice
    Rational function approximation
    Fourier series: periodic functions
    Convergence of fourier series