Kode Mata KuliahMA5033 / 4 SKS
Penyelenggara201 - Mathematics / FMIPA
KategoriLecture
Bahasa IndonesiaEnglish
Nama Mata KuliahTopologiTopology
Bahan Kajian
  1. Ruang topologi
  2. Basis
  3. Titik limit
  4. Fungsi kontinu
  5. Homeomorfisma
  6. Topologi metrik
  7. Topologi kuosien
  8. Keterhubungan
  9. Kekompakan
  10. Lemma Urysohn dan Teorema Tychonoff
  11. Grup fundamental
  12. Homotopi
  1. Topological spaces
  2. Basis
  3. Limit points
  4. Continuous functions
  5. Homeomorphism
  6. Metric topology
  7. Quotient topology
  8. Connectedness
  9. Compactness
  10. Urysohn lemma and Tychonoff theorem
  11. fundamental groups
  12. homotopy
Capaian Pembelajaran Mata Kuliah (CPMK)
  1. Mahasiswa menurunkan bukti-bukti formal dalam topologi dengan bahasa sendiri dan menghargai manfaat berfikir abstraksi dan formal.
  2. Mahasiswa menerangkan faedah struktur-struktur topologi yang muncul dalam berbagai cabang matematika berdasar wawasan matematika serta penerapannya.
  3. Mahasiswa mengungkapkan keterhubungan antara dua cabang besar matematika yaitu topologi dan aljabar.
  1. Students will derive formal proofs in topology using their own language and appreciate the benefits of abstract and formal thinking
  2. Students explain the benefits of topological structures that appear in various branches of mathematics, based on their mathematical insights and applications.
  3. Students articulate the connections between two major branches of mathematics: topology and algebra
Metode PembelajaranDiskusi kelompok, studi kasus, dan pembelajaran berbasis projek.Group discussions, case studies, and project-based learning.
Modalitas PembelajaranLuring, mandiriOffline, independent
Jenis NilaiABCDE
Metode PenilaianTugas, Kuis, UTS, UASAssignments, Quizzes, Mid-Term Exams, Final Exams
Catatan Tambahan