MAT210 – Ordinary Differential Equation

Module designation

Ordinary Differential Equation (MAT210)

Semester(s) in which the module is taught

3^st

Person responsible for the module

Cicik Alfiniyah

Language

Indonesian

Relation to curriculum

Compulsory / elective / specialisation

Teaching methods

Lecture and lesson.

Workload (incl. contact hours, self-study hours)

3×170 minutes (3×50 minutes lecture and lesson, 3×60 minutes structural activities, 3×60 minutes self-study) per week for 16 weeks

Credit points

3 CP (4,8 ECTS)

Required and recommended prerequisites for joining the module

Calculus I and Calculus II

Module objectives/intended learning outcomes

General Competence (Knowledge):

 The student demonstrates proficiency in various aspects of Ordinary Differential Equations (ODE), including the ability to:

1. Explain models of ODE in science, with a focus on first-order Ordinary Differential Equations, both Homogeneous and Nonhomogeneous Linear Differential Equations.
2. Utilize the method of variation of parameters for solving second-order ODE.
3. Address Cauchy-Euler Differential Equations.
4. Apply the Laplace transform, inverse Laplace transformation, and Laplace transform for solving linear ODE with initial conditions.
5. Elaborate on models involving second-order ODE in science.
6. Understand and analyze systems of first-order linear equations.

Content

Introduction of ODE in science: biology and physic, First-order ODE: Separable equations, Integrating Factor, ODE with initial condition, Linear Differential Equations, Exact Differential Equations, Bernouli Differential Equations, Second Order ODE: Second-order linear homogeneous ode with constant coefficients, Second-order linear nonhomogeneous ode with constant coefficients, method of indeterminate coefficients, Method variation of parameters, Cauchy- Euler ODE, The Laplace transform, Application of seond order ODE, Systems of first-order linear equations.

Examination forms

Essay

Study and examination requirements

Students are considered to pass if they at least have got a final score 40 (D).

Final score is calculated as follow: 10% softskill+15% assignment + 20% Quiz + 25% midterm + 30% final exam.

Final index is defined as follow:

Reading list

1.       Zill, Dennis G., 2001, A First Course in Differential Equations with Modelling Applications, Seventh Edition, Brooks Cole Publishing Company.

2.       Zill, D.G. and Cullen, M.R, 1997, Differential Equations with Boundary-Value Problems Fourth Edition, Brooks Cole Publishing Company.

3.       Boyce, W.E. & Diprima, R.C., 2001, Elementary Differential Equation and Boundary Value Problems Seventh Edition, John Wiley & Sons, Inc. New York.