Module Handbook

 

Module Name

Boundary Value Problems

Module Level

Bachelor

Abbreviation, if applicable

MAT305

Sub-heading, if applicable:

-

Courses included in the

module, if applicable

-

Semester/term

5th/ Third Year

Module coordinator(s):

Dr. Windarto, M.Si.

Lecturer(s)

Dr. Windarto, M.Si.

Language

Bahasa Indonesia

Classification within the

Curriculum

Compulsory Course/ Elective Studies

Teaching format / class

hours per week during semester

2 hours lectures (50 min / hour)

Workload

2 hours lectures, 2 hour structural activities, 2 hours individual study,

13 week per semester, and total 78 hours per semester 2.6ECTS

Credit Points

2

Requirements

Partial Differential Equations

Learning goals/competencies

General Competence (Knowledge)

able to implement boundary condition theory to solve linear partial differential equations analytically or numerically.

 

Specific Competence :

1.       determine Fourier series of a bounded periodic function.

2.       solve a Sturm-Liouville boundary value problem of a linear ordinary differential equation.

3.       solve a boundary value problem of a linear partial differential equation.

4.       solve a second order differential equation with boundary condition by using finite difference method.

5.       solve a linear diffusion equation with boundary condition by using finite difference method.

6.       solve a linear transport equation equation with boundary condition by using finite difference method.

7.       solve a linear wave equation equation with boundary condition by using finite difference method.

8.       solve Laplace equation boundary condition by using finite difference method.

 

 

 

 

 

 

Content

Fourier series, Sturm-Liouville boundary value problem, boundary value problem in partial differential equation, finite difference method for linear partial differential equation.

 

Soft skillattribute

Disciplinary and activity

Study/exam achievements

Students are considered pass if he/she has final score at least 40.

 

The final score (FS) is calculated as follow :

10% softskill + 20% assignment + 20% quiz + 25% middle term + 25% final term

 

 

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

Forms of Media

LCD projectors and whiteboards

Learning Methods

Lecture, question and answer

 

References

1.       R.A. Bernatz, 2010, Fourier Series and Numerical Methods for Partial Differential Equations, John Willey & Sons, Inc.

2.       Boyce, W.E. and DiPrima, R.C., 1992, Elementary Differential Equation and Boundary Value Problems, Fifth Edition, John-Wiley, New York.

3.       Zill, Dennis G, 1982, A First Course in Differential Equations with Applications, 2nd Edition, Prindle, Weber & Schmid, Boston.

4.       Richard Haberman, 1998, Elementary Applied Partial Differential Equations, 3rd Edition, Prentice Hall.

Notes

-