| Kode Mata Kuliah | MA4073 / 4 SKS |
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| Penyelenggara | 101 - Matematika / FMIPA |
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| Kategori | Kuliah |
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| Bahasa Indonesia | English |
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| Nama Mata Kuliah | Persamaan Diferensial Parsial | Partial Diferential Equations |
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| Bahan Kajian | - konsep-konsep dasar pdp beserta klasifikasinya
- Prinsip maksimum dan metoda energi serta kaitannya dalam merumuskan wellposed problem
- Merumuskan solusi analitik dan solusi formal (separasi variabel) bagi tiga tipe pdp
- Merumuskan dan mengimplementasikan skema beda hingga yang stabil bagi tiga tipe pdp
| - Basic concepts of partial differential equations (PDEs) and their classification.
- Maximum principles and energy methods, and their role in formulating well-posed problems.
- Formulation of analytical and formal solutions (separation of variables) for the three types of PDEs.
- Formulation and implementation of stable finite difference schemes for the three types of PDEs.
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| Capaian Pembelajaran Mata Kuliah (CPMK) | - Mahasiswa mampu memahami konsep dasar pdp
- Mahasiswa mampu merumuskan serta memahami karakteristik solusi analitik dari ketiga tipe pdp dengan syarat batas Dirichlet, Neumann, Robin.
- Mahasiswa mampu merumuskan serta skema numerik dari ketiga tipe pdp, termasuk syarat kestabilan dan penanganan syarat batas.
- Mahasiswa mengenal penerapan persamaan diferensial parsial pada beberapa kasus nyata.
| - Students are able to understand the fundamental concepts of partial differential equations (PDEs).
- Students are able to formulate and understand the characteristics of analytical solutions for the three types of PDEs with Dirichlet, Neumann, and Robin boundary conditions.
- Students are able to formulate numerical schemes for the three types of PDEs, including stability conditions and the treatment of boundary conditions.
- Students are able to recognize applications of partial differential equations in several real-world problems.
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| Metode Pembelajaran | Kuliah | Lectures |
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| Modalitas Pembelajaran | Luring,
Sinkron dan asinkron,
Mandiri dan Kelompok | Offline,
Synchronous and asynchronous,
Individual and Group |
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| Jenis Nilai | ABCDE |
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| Metode Penilaian | UTS, UAS, Kuis, Tugas, Proyek Akhir | UTS, UAS, Quizzes, Assignments, Final Projects |
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| Catatan Tambahan | | |
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