Computational Solution of Engineering Problems

Universidad del Norte

Course Description

  • Course Name

    Computational Solution of Engineering Problems

  • Host University

    Universidad del Norte

  • Location

    Barranquilla, Colombia

  • Area of Study

    Computer Programming, Systems Engineering

  • Language Level

    Taught In English

    Hours & Credits

  • Contact Hours

    48
  • Recommended U.S. Semester Credits
    3
  • Recommended U.S. Quarter Units
    4
  • Overview

    Computational Solution of Engineering Problems

    In this course are presented the computer numerical representation, errors detection and control in computational Math, the data adjustment through the use of polynomials, the root solving for non linear equations using iterative methods, the number value calculations for an integer and the solution of ordinary differential equations through the approximation by difference. All the methods described above are applied for solving problems in different fields of engineering, using its computational implementation in Matlab.

    COURSE LEARNING OUTCOMES

    • Understand the computer arithmetic and the errors associated with their discrete nature.
    • Understand and apply some methods of solving nonlinear equations in optimal finding problems.
    • Understand and apply some methods of solving systems of linear equations.
    • Understand and apply methods of interpolation functions.
    • Understand and apply methods for estimating derivative and integral.
    • Understand and apply methods to solve ordinary differential equations.

    The course contributes to the professional component of Computer Science, but it also supports software engineering in problem solutions. It is justified on numerical analysis allows the engineer to obtain a solid formation in basic and applied sciences and these will allow him/her the acquisition of abilities in mathematical problems abstraction and analysis from the computational point of view.

    TOPICS COVERED

    TOPIC

    HOURS CLASS

    HOURS LAB.

    WEEKS NUMBER

     

    Computer arithmetic

    10

     

    1-2

     

    Non-linear equation solution

    6

    6

    3-4

     

    Linear equations solution systems

    6

    6

    5-8

     

    Approximation of functions

    6

    6

    9-10

     

    Numerical differentiation and integration

    6

    4

    11-13

     

    Numerical solution of common differential equations.

    4

    4

    14-16

     

    Evaluations

    4

     

     

     

     

    SCHEDULE

    16 weeks; forty-eight one-hour sessions: two sessions theoretical- two session practical

    BIBLIOGRAPHICAL REFERENCES

    ·         ATKINSON, Kendal, HAN, Weimin. Elementary Numerical Analysis. Third edition. Jhon Wiley & Sons, Inc.2004.

    ·         MATHEWS, John, KURTIS, Fink. Métodos Numéricos con Matlab. 3a ed. Prentice Hall 2007

    ·         CHAPRA, Steven, CANALE, Raymond. Métodos Numéricos para Ingenieros. 4a. ed. McGraw-Hill Interamericana 2002.

    ·         KINCAID Y CHENEY , Numerical Analysis . Addison Wesley . Iberoamericana 1994.

    ·         NAKAMURA, Shoichiro. Análisis numérico y visualización gráfica con MATLAB. 1ª ed Prentice-Hall.1997.