Course : Numerical Methods I

  • 30 August 2017, 15.13
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Course code/credits and contact hours : TKS2207/3.0
Semester : IV
Instructor’s or course coordinator’s name : Prof. Dr. Ir. Bambang Triatmodjo, CES., DEA.
Bibliography :
  1. Bambang Triatmodjo, 1992, Metode Numerik, Beta Offset, Yogyakarta.
  2. Chapra, S.C., Canale, R.P., 1990, Numerical Methods for Engineers, 2nd Ed., McGraw-Hill Book Co., New York.
Specific course information
Brief description  :

This course contains the introduction, error, absolute and relative error, root-finding algorithm (bisection method, linear interpolation method, Newton-Raphson method, secant method, itteration), taylor series, linear equation system, regression, interpolation, numerical integration (trapezoidal, Simpson, Gaussian quadrature), solution of ordinary differential equation (Euler, Heun, Runge-Kutta), partial differential equation (finite differential explicit and implicit scheme, Crank-Nicholson).
Prerequisite Courses :
  1. Calculus I (Semester I)
  2. Calculus II (Semester II)
  3. Differential Equation (Semester III)
Required/elective : Required
Studio work : N/A
Laboratory work : N/A
Specific goals of the course
Specific outcomes : The students are expected to be able to solve various types of mathematical equations by numerical method.
Student outcomes : (a) An ability to apply knowledge of mathematics, science, and engineering in civil engineering fields

(k) An ability to use the techniques, skills, and modern engineering tools for civil engineering practice
Brief list of topics to be covered :
  1. Root equations: half-interval method and linear interpolation, Newton-Rapson method, Secant method, iteration method, numerical discretization
  2. Systems of linear equations:
  3. Linear regression and interpolation
  4. Newton interpolation
  5. Numerical integration: trapezoid, Simpson 1/3, 3/8, quadrant gauss
  6. Ordinary Differential Equations (ODE): Euler method, Heun method, ODE method of modification (double correction), polygon, Runge-Kutta method
  7. Partial differential equation (PDE): Elliptic equation