Module Handbook
Module Name: 
Ordinary
Differential Equation 
Module Level: 
Bachelor 
Abbreviation,
if applicable: 
MAT210 
Subheading,
if applicable: 
 
Courses
included
in
the module, if applicable: 
 
Semester/term: 
3RD / Second Year 
Module coordinator(s): 
Dr. Miswanto, M.Si 
Lecturer(s): 
Dr. Miswanto,
M.Si and Dr Windarto, M.Si. 
Language: 
Indonesian
Language 
Classification within the curriculum 
Compulsory Course / 
Teaching format / class hours per week during
semester: 
3 hours lectures (50 min / hour) 
Workload: 
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: 
3 
Requirements: 
Calculus I and II 
Learning goals/competencies: 
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.
Firstorder Ordinary
Differential Equations 3.
Homogeneous
and Nonhomogeneous Linear Differential Equations 4.
Method variation of parameters for solution Secondorder ODE 5.
CauchyEuler
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 firstorder linear
equations 
Content: 
Introduction of ODE in science: biology and physic, Firstorder ODE: Separable
equations, Integrating Factor, ODE with
initial condition, Linear
Differential Equations, Exact Differential Equations, Bernouli Differential Equations, Second Order ODE: Secondorder
linear homogeneous ode with constant coefficients, Secondorder
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 firstorder linear equations. 
Attribut soft 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 
Literature: 
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 BoundaryValue
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. . 
Notes: 
