Ordinary Differential Equations (KKM24420)

Deskripsi Mata Kuliah / Course Description

Mata kuliah ini membahas konsep, teori, dan metode penyelesaian persamaan diferensial biasa (PDB), yang digunakan untuk memodelkan fenomena matematis dalam berbagai bidang. Mahasiswa akan mempelajari metode analitis dan numerik untuk menyelesaikan PDB serta mengaitkan konsep-konsep tersebut dengan pembelajaran matematika di jenjang pendidikan menengah maupun lanjutan. Selain itu, mahasiswa akan diajak mengembangkan keterampilan analisis dan komunikasi untuk menjelaskan konsep PDB secara pedagogis.

This course discusses concepts, theories, and methods for solving ordinary differential equations (ODEs), which are used to model mathematical phenomena in various fields. Students will learn analytical and numerical methods to solve ODE and relate these concepts to mathematics learning at secondary and advanced education levels. In addition, students will be invited to develop analytical and communication skills to explain the idea of ODE pedagogically.

Materi Pembelajaran / Learning Materials

• Pengantar persamaan diferensial biasa
  Introduction to ordinary differential equations
• PDB orde satu
  First order ODE
• PDB orde dua (homogen)
  Second order ODE (homogen)
• PDB orde dua (non-homogen)
  Second order ODE (non-homogen)
• Sistem PDB linear
  Linear ODE systems

Referensi / References

Utama / Primaries:

1. Boyce, W. E. and DiPrima, R. C., (2009), Elementary Differential Equations and Boundary Value Problems, Ninth Edition, John Wiley & Sons, Inc.
2. Nagy, G., (2021), Ordinary Differential Equations, Mathematics Department, Michigan State University.

Pendukung / Supplementaries: