Course Differential Equations

  • 29 August 2017, 10.25
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Course code/credits and contact hours : TKS2101/3.0
Semester : III
Instructor’s or course coordinator’s name Prof. Dr. Ir. Bambang Yulistiyanto
Bibliography :
  1. Bronson, R., Costa G., 2008, Schaum’s Outline: Persamaan Diferensial, Edisi 3, Erlangga
  2. Djoko Luknanto, 2003, Model Matematik, Jurusan Teknik Sipil FT UGM
  3. Nakamura, Soichiro, 1977, Computational Methods in Engineering and Science, John Wiley & Sons
  4. Robert, Charles E., 1979, Ordinary Differential Equations, Prentice-Hall
Spesific course information
Brief description : This course contains the differential equation order 1, order 2, numerical solution of ordinary differential equation, ordinary differential equation system, partial differential equation, ordinary differential equation solution (Euler, Heun, Runge-Kutta), partial differential equation (finite differential, explicit, implicit, and Crank-Nicholson schemes).
Prerequisite Courses : 1)      Calculus I (Semester I)

2)      Calculus II (Semester II)
Required/ elective : Required
Studio work : N/A
Laboratory work : N/A
Spesific goals of the course
Spesific outcomes : The students are expected to understand and be able to apply differential equation theory in civil engineering analysis
Student outcomes :

An ability to apply knowledge of mathematics, science, and engineering in civil engineering fields
Brief list of topics to be covered  :
  1. Introduction to differential equations
  2. First-order and simple-order differential equations are simple
  3. Many order equations are differential
  4. Linear differential equations
  5. Resolution of series of differential equations
  6. Application of linear differential equations
  7. Laplace transform & its application
  8. Systems of linear differential equations
  9. Application of linear differential equation system