| Kode Mata Kuliah | MA5033 / 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 | Topologi | Topology |
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| Bahan Kajian | - Ruang topologi
- Basis
- Titik limit
- Fungsi kontinu
- Homeomorfisma
- Topologi metrik
- Topologi kuosien
- Keterhubungan
- Kekompakan
- Lemma Urysohn dan Teorema Tychonoff
- Grup fundamental
- Homotopi
| - Topological spaces
- Basis
- Limit points
- Continuous functions
- Homeomorphism
- Metric topology
- Quotient topology
- Connectedness
- Compactness
- Urysohn lemma and Tychonoff theorem
- fundamental groups
- homotopy
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| Capaian Pembelajaran Mata Kuliah (CPMK) | - Mahasiswa menurunkan bukti-bukti formal dalam topologi dengan bahasa sendiri dan menghargai manfaat berfikir abstraksi dan formal.
- Mahasiswa menerangkan faedah struktur-struktur topologi yang muncul dalam berbagai cabang matematika berdasar wawasan matematika serta penerapannya.
- Mahasiswa mengungkapkan keterhubungan antara dua cabang besar matematika yaitu topologi dan aljabar.
| - Students will derive formal proofs in topology using their own language and appreciate the benefits of abstract and formal thinking
- Students explain the benefits of topological structures that appear in various branches of mathematics, based on their mathematical insights and applications.
- Students articulate the connections between two major branches of mathematics: topology and algebra
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| Metode Pembelajaran | Diskusi kelompok, studi kasus, dan pembelajaran berbasis projek. | Group discussions, case studies, and project-based learning. |
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| Modalitas Pembelajaran | Luring, mandiri | Offline, independent |
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| Jenis Nilai | ABCDE |
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| Metode Penilaian | Tugas, Kuis, UTS, UAS | Assignments, Quizzes, Mid-Term Exams, Final Exams |
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| Catatan Tambahan | | |
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