Mata Kuliah AE5003 - 2026

Kode Mata KuliahAE5003 / 3 SKS
Penyelenggara236 - Teknik Dirgantara / FTMD
KategoriKuliah
Bahasa IndonesiaEnglish
Nama Mata KuliahMatematika Teknik LanjutAdvanced Engineering Mathematics
Bahan Kajian
  1. Pengenalan Functional Analysis
  2. Ruang Vektor dan Fungsi
  3. Transformasi Linier dalam ruang vektor dan ruang fungsi
  4. Eigen Problem, Quadratic Functions, Singular Value Decomposition
  5. Persamaan diferensial biasa, operator persamaan diferensial linier
  6. Metode Solusi persamaan diferensial biasa (integrating factor, variasi parameter, annihilator)
  7. Sistem persamaan diferensial linier
  8. Exponensial matriks dan diagonalisasi
  9. Jordan Canonical Form
  10. Sistem persamaan diferensial dengan parameter tidak konstan
  11. Sistem persamaan diferensial non-linier
  12. Linierisasi dan analisis kestabilan
  1. Introduction to Functional Analysis
  2. Vector and Function Spaces
  3. Linear Transformation in Vector and Function Spaces
  4. Eigen Problem, Quadratic Functions, Singular Value Decomposition
  5. Ordinary Differential Equation, Linear Differential Equation Operator
  6. Solution method for ordinary differential equation (integrating factor, variation of parameters, annihilator)
  7. System of linear differential equations
  8. Exponential Matrix and Diagonalization
  9. Jordan Canonical Form
  10. System of differential equation with non-constant parameter
  11. System of nonlinear differential equation
  12. Linearization and Analysis of Stability
Capaian Pembelajaran Mata Kuliah (CPMK)
  1. Memahami prinsip Functional Analysis
  2. Memahami ruang linier (vector dan fungsi) dan prinsip transformasi linier
  3. Memahami masalah Eigen, fungsi kuadratic, dan Singular Value
  4. Memahami beberapa metode Solusi persamaan diferensial biasa
  5. Memahami metode Solusi system persamaan diferensial linier, eksponensial matriks, Jordan Canonical Form
  6. Memahami metode Solusi system persamaan diferensial dengan parameter tidak konstan
  7. Memahami analisis system persamaan diferensial non-linier dan proses linierisasi
  8. Memahami penggunaan transformasi linier dan persamaan differensial dalam dunia sains dan rekayasa
  1. Understand the fundamental principles of Functional Analysis.
  2. Understand linear spaces (vectors and functions) and the principles of linear transformations.
  3. Understand eigenvalue problems, quadratic forms, and singular values.
  4. Understand several methods for solving ordinary differential equations.
  5. Understand methods for solving systems of linear differential equations, including matrix exponentials and the Jordan Canonical Form.
  6. Understand methods for solving systems of differential equations with time-varying parameters.
  7. Understand the analysis of nonlinear systems of differential equations and linearization techniques.
  8. Understand the application of linear transformations and differential equations in science and engineering.
Metode PembelajaranTatap muka di kelas. Tutorial materi kuliahFace-to-Face Classroom Instruction
Modalitas PembelajaranLuring, sinkron, MandiriIn-Person Synchronous Learning and Independent Study
Jenis NilaiABCDE
Metode PenilaianUjian Tengah Semester Ujian Akhir Semester TugasMidterm Examination Final Examination Assignments
Catatan Tambahan