| Kode Mata Kuliah | MA5281 / 4 SKS |
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| Penyelenggara | 201 - Mathematics / FMIPA |
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| Kategori | Lecture |
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| Bahasa Indonesia | English |
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| Nama Mata Kuliah | Ukuran Peluang | Probability Measure |
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| Bahan Kajian | - Himpunan dan ukuran
- Fungsi-fungsi terukur
- Ukuran perkalian dan kebebasan
- Integral fungsi,
- Teorema Fubini
- Teorema Radon-Nikodym
- Ukuran Lebesgue-Stieltjes
- Peluang
- Ruang-ruang dari fungsi-fungsi integral
- Konvergensi dan teorema limit pusat
| - Sets and measures
- Measurable functions
- Product measures and independence
- Integral of functions
- Fubini's theorem
- Radon-Nikodym theorem
- Lebesgue-Stieltjes measure
- Probability
- Spaces of integral functions
- Convergence and central limit theorem
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| Capaian Pembelajaran Mata Kuliah (CPMK) | - Diharapkan mahasiswa memiliki pengetahuan dan wawasan bahwa peluang adalah suatu ukuran Lebesque dengan sifat-sifat tertentu dan mereka juga mampu menerapkan metode-metode statistik yang telah diketahuinya dengan tepat dan benar dari segi analisis dan probalistisnya, bahkan mereka mampu mengembangkannya pada kasus-kasus khusus
| - Students are expected to have knowledge and understanding that probability is a Lebesgue measure with certain properties, and they are also able to correctly and accurately apply the statistical methods they have learned from both an analytical and probabilistic perspective. Furthermore, they should be able to develop these methods for specific cases.
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| Metode Pembelajaran | Tugas dan diskusi | Assignments and discussions |
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| Modalitas Pembelajaran | Tugas dan diskusi | Assignments and discussions |
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| Jenis Nilai | ABCDE |
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| Metode Penilaian | UTS, UAS, Kuis, &Tugas. | Midterm Exam, Final Exam, Quizzes, Assignments |
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| Catatan Tambahan | | |
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