Kode Mata KuliahTG7005 / 3 SKS
Penyelenggara323 - Teknik Geofisika / FTTM
KategoriKuliah
Bahasa IndonesiaEnglish
Nama Mata KuliahMatematika dalam GeofisikaMathematics in Geophysics
Bahan Kajian
  1. Deret: deret geometri, tes konvergensi, deret ukur, ekspansi fungsi dalam deret;
  2. Bilangan kompleks: bagian real dan imajiner, aljabar bilangan kompleks, formula Euler, fungsi trigonometri, eksponensial, hiperbolik dan logaritma;
  3. Aljabar linier: matrik, reduksi baris, determinan, vektor, garis dan bidang, operasi matriks;
  4. Diferensial parsial: deret ukur untuk dua variabel, diferensial total, aturan rantai, diferensial implisit, perubahan variabel;
  5. Integral lipat: integral lipat dua dan tiga, perubahan variable, Jacobian, integral permukaan; Analisis vektor: turunan berarah, teori divergensi, curl dan teori Stoke.
  1. Series: geometric series, convergence tests, arithmetic series, function expansion in series;
  2. Complex numbers: real and imaginary parts, complex number algebra, Euler’s formula, trigonometric, exponential, hyperbolic, and logarithmic functions;
  3. Linear algebra: matrices, row reduction, determinants, vectors, lines and planes, matrix operations;
  4. Partial differentiation: arithmetic series for two variables, total differential, chain rule, implicit differentiation, change of variables;
  5. Multiple integrals: double and triple integrals, change of variables, Jacobian, surface integrals; Vector analysis: directional derivatives, divergence theorem, curl, and Stokes’ theorem.
Capaian Pembelajaran Mata Kuliah (CPMK)
  1. Mahasiswa memililki landasan teori matematika lanjut yang baik untuk mengikuti kuliah-kuliah selanjutnya.
  1. Students possess a solid foundation in advanced mathematics to support their participation in subsequent courses.
Metode PembelajaranKolaborasi atau diskusi kelompok, pembelajaran berbasis proyek, kombinasi ceramahGroup collaboration or discussion, project-based learning, and a combination of lectures.
Modalitas PembelajaranLuring/bauran/daringOffline / blended / online
Jenis NilaiABCDE
Metode PenilaianTugas, UTS, UASAssignments, midterm examination, final examination.
Catatan Tambahan