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silabus singkat matakuliah program magister instrumentasi - ITB

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I.25. MA6173 Matematika Lanjut<br />

Kode<br />

Kuliah<br />

MA6173<br />

Sifat kuliah<br />

Kelompok Kuliah<br />

Course Title<br />

(Indonesian)<br />

Nama Matakuliah<br />

Course Title<br />

(English)<br />

Nama Matakuliah<br />

Short Description<br />

Silabus ringkas<br />

Kredit :<br />

2 SKS<br />

Semester: 1<br />

Kuliah<br />

MK Dasar Science<br />

Matematika Lanjut<br />

Advanced Mathematics<br />

KBK/Bidang<br />

Keahlian:<br />

Umum<br />

Sifat:<br />

Wajib<br />

Keilmuan kontrol atau kendali seringkali memodelkan sistem<br />

dalam bentuk sistem dinamik yang dinyatakan dalam sebuah<br />

sistem persamaan diferensial. Dengan dasar ini, kami<br />

berpendirian bahwa peserta <strong>program</strong> <strong>magister</strong> yang menggeluti<br />

bidang kontrol sudah selayaknya memahami dasar-dasar sistem<br />

persamaan diferensial. Pada saat yang sama, kami sadar bahwa<br />

pemahaman dalam sistem persamaan diferensial perlu didukung<br />

beberapa dasar matematika seperti aljabar linear dan kalkulus<br />

vektor. Oleh karenanya, dalam kuliah ini, peserta diharapkan<br />

mampu mengembangkan pemahamannya pada dasar-dasar<br />

matematika lanjut di atas serta mengaitkan pemahaman tersebut<br />

pada sistem kontrol. Khususnya, peserta dapat membekali<br />

dirinya dalam pengetahuan serta ketrampilan yang berkaitan<br />

dengan solusi sistem persamaan diferensial linear.<br />

References<br />

Acuan<br />

The knowledge of control often needs to model the system in the<br />

form of dynamical system represented in system of differential<br />

equation. Based on this, the students of the <strong>magister</strong> <strong>program</strong><br />

concentrating with the control subject have to understand the<br />

basic of system of differential equation. At the same time, the<br />

understanding on system of differential equation should be<br />

supported by some basic of mathematics such as linear algebra<br />

and vector of calculus. Therefore, in this subject, the students are<br />

expected to develop their understanding on the above basics of<br />

advanced mathematics and relate the understanding with the<br />

control system. In particular, the students should enhance<br />

themselves with the knowledge and skills related with the<br />

solution of system of linear differential equation<br />

1. Perko, L., Differential Equations and Dynamical Systems,<br />

Text in Applied Mathematics, 7, Springer-Verlag<br />

Silabus S2 PINK<br />

Tahun 2003/2004<br />

28

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