Module Handbook


Module Name:

Ordinary Differential Equation

Module Level:


Abbreviation, if applicable:


Sub-heading, if applicable:


Courses included in the

module, if applicable:



3RD / Second Year

Module coordinator(s):

Dr. Miswanto, M.Si


Dr. Miswanto, M.Si and Dr Windarto, M.Si.


Indonesian Language

Classification within the


Compulsory Course / Elective Studies

Teaching format / class

hours per week during semester:

3 hours lectures (50 min / hour)


3 hours lectures, 3 hour structural activities, 3 hours individual study,

13 week per semester, and total 117 hours per semester 3.9 ECTS

Credit Points:



Calculus I and II



General Competence (Skills):

Using the concept of Ordinary Differential Equations in the mathematical modeling of biological fields, physics

Specific Competence:

1.    Explaining some models of ODE in science

2.    First-order Ordinary Differential Equations

3.    Homogeneous and Nonhomogeneous Linear Differential Equations

4.    Method variation of parameters for solution Second-order ODE

5.    Cauchy-Euler Differential Equations

6.    The Laplace transform, invers Laplace transformasi, and Laplace transform to solve linear ODE with initial condition

7.    Explaining some models of second order ODE in science

8.    Systems of first-order linear equations


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.

Attributsoft skill

Disciplinary and honesty

Study/exam achievements:

Students are considered to be competent and pass if at least get 55

The final score (FS) is calculated as follow :

Soft Skill(10 %) Assignment (15 , %), Quiz (20 %), UTS(25 %), UAS(30 %)



Final index is defined as follow:

A : 75 100

AB : 70 - 74.99

B : 65 - 69.99

BC : 60 - 64.99

C : 55 - 59.99

D : 40 - 54.99

E : 0 - 39.99

Learning Methods

Lecture, assignment and discussion

Form of Media

LCD and White Board


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

2. Zill, D.G. & 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.

2. .