defter*
defter / katalog / ME 501
ME 501

Mathematical Techniques in Mechanical Engineering

Ordinary differential equations and introduction to partial differential equations, series solutions, Fourier, Bessel and Legrendre functions, boundary value problems and eigenfunction expansions; calculus of variations. Classical partial differential equations related to mathematical physics, including Laplace transformation and the method of separation of variables.

Credit3
ECTS5
BölümMechanical Engineering
FacultyFaculty of Engineering

Hocalar 0 bu dönem · 5 geçmiş

Geçmişte ders veren (5 kişi)
Emine Yegan Oyman, Barbaros Çetin, Yıldıray Yıldız, Mehmet Zeyyad Baykara, İlker Temizer

→ STARS müfredatı / syllabus

Materyal — 0 dosya

Bu derste henüz materyal yok.

İlk dosyayı sen ekleyebilirsin — notlar, geçmiş finaller, çözümler, cheat-sheet, ne varsa. Drive linki / PDF / ZIP / fotoğraf, hepsi olur.

Şu an: mail at, ben düzenleyip yayına alayım. Form/upload UX yakında geliyor (Kimya tasarlıyor).

↑ konuya ME 501 yaz

Geçmiş GPA dağılımı 12 dönem · ort. 3.15

DönemCourse CPA
2025-2026 Fall 3.54 1 sec · 21 öğr
2023-2024 Fall 3.01 1 sec · 14 öğr
2021-2022 Fall 2.94 1 sec · 20 öğr
2020-2021 Fall 3.13 1 sec · 20 öğr
2018-2019 Spring 2.54 1 sec · 30 öğr
2016-2017 Fall 3.20 1 sec · 24 öğr
2015-2016 Fall 3.13 1 sec · 14 öğr
2014-2015 Fall 2.91 1 sec · 12 öğr
2013-2014 Fall 2.67 1 sec · 19 öğr
2012-2013 Fall 3.39 1 sec · 8 öğr

Aggregate course GPA — Bilkent STARS'tan public data. Hoca-bazlı per-section detayı için STARS evaluation report →. Öğrenci anket cevapları KVKK kapsamında defter'de tutulmaz.

Müfredat detayı STARS syllabus

📚 Önerilen kaynaklar

  • Önerilen Advanced Engineering Mathematics Erwin Kreyszig

⚖️ Değerlendirme

  • 20% — Midterm:Essay/written: Exam1 (×1)
  • 25% — Midterm:Essay/written: Exam2 (×1)
  • 30% — Final:Essay/written: Final (×1)
  • 25% — Homework: Homework (×5)

⚠️ FZ engelleyen şartlar

Course Learning Outcomes: Course Learning Outcome Assessment an ability to use linear algebra to solve differential equations Exam1 Exam2 Final Homework an ability to solve linear and nonlinear ordinary differentail equations encountered in mechanical engineering problems Exam1 Exam2 Final Homework an ability to solve linear partial differential equations encountered in mechanical engineering problems Exam1 Exam2 Final Homework an ability to represent engineering problems in terms of differentai

📅 Haftalık müfredat

Linear Algebra Additional Information: Matrices, matrix operations, matrix inverse, system of linear equations, under and over determined systems, Gauss elimination, least squares solution. Linear Algebra Additional Information: Determinants, Cramer's rule, eigenvalues, eigenvectors, diagonalization, Jordan Canonical Form. Ordinary Differential Equations (ODEs) Additional Information: 1st order ODEs, total differentials, Green's Theorem, integrating factors. Exam-1 ODEs Additional Information: Second order ODEs, inhomogeneous equations, Euler Equations, higher order ODEs. ODEs Additional Information: Systems of differential equations, Laplace Transforms. ODEs Additional Information: Laplace Transform properties, unit step function, Dirac Delta Function, convolution. ODEs Additional Information: Convolution, power series method, Legendre's Equation. ODEs Additional Information: Frobenius Method, Bessel Equation, Bessel Functions. Exam-2 Additional Information: Exam-2 and exam review. PDEs Additional Information: Fourier Series PDEs Additional Information: Fourier Integrals and Transforms PDEs Additional Information: Introduction to PDEs, separation of variables, transform methods. PDEs Additional Information: Laplace's Equation, Dirichlet Problem, more examples. ECTS - Workload Table: Activities Number Hours Workload Preparation for Midterm exam 2 15 30 Individual or group work 14 2 28 Homework 6 4 24 Course hours 14 3 42 Midterm exam 2 2 4 Final exam 1 3 3 Preparation for Final exam 1 20 20 Total Workload: 151 Total Workload / 30: 151 / 30 5.03 ECTS Credits of the Course: 5