MTM3502 – Partial Differential Equations (Spring 2023-2024)
Instructor Information
Instructors: Coşkun Güler (Gr. 1) and Gökhan Göksu (Gr. 2)
E-mail (CG): cguler [at] yildiz [dot] edu [dot] tr
E-mail (GG): gokhan [dot] goksu [at] yildiz [dot] edu [dot] tr
Course Web Site: gokhangoksu.github.io/MTM3502
General Information
Schedule: Monday, 09:00-12:00
Classroom: KMB-320
Office Hours: Friday, 14:00-17:00 (and/or by appointment)
Expectations and Goals
Teaching the general theory of partial differential equations along with basic concepts and techniques, understanding the strong relationship between partial differential equations and physical events, and laying the groundwork for more advanced topics.
Course Materials
Tentative Course Schedule
Week 1 (19.02.2024): Basic Concepts and Definitions
[Slide]
Week 2 (26.02.2024): Solutions of First Order Linear, Semi-/Quasi-Linear PDEs: Lagrange's Method, Integral Surfaces Passing Through a Given Curve
[Slide]
Week 3 (04.03.2024): Surfaces Orthogonal to a Given System of Surfaces, Compatibility of First Order PDEs, Classification of the Solutions of First Order PDEs
[Slide]
Week 4 (11.03.2024): Solution of Nonlinear PDEs of First Order: The Method of Charpit, Cauchy’s Method of Characteristics
[Slide]
Week 5 (18.03.2024): The Method of Integrating Factors for First Order Linear PDEs
[Slide]
Week 6 (25.03.2024): Classification of Second Order Linear PDEs, Canonical Forms of Hyperbolic PDEs
[Slide]
Week 7 (01.04.2024): Second Order Linear PDEs with Constant Coefficients and Operator Factorization
[Slide]
Week 8 (08.04.2024): No Class (Eid al-Fitr Week)
[No Class]
Week 9 (18.04.2024, 17:00-19:00): Midterm I
Results are announced in obs.yildiz.edu.tr!
Week 10 (22.04.2024): Second Order Linear PDEs: Canonical Forms of Parabolic PDEs, Canonical Forms of Elliptic PDEs
[Slide]
Week 11 (29.04.2024): The Cauchy Problem: Homogeneous and Nonhomogeneous Wave Equations
[Slide]
Week 12 (06.05.2024, 11:00-13:00): Midterm II
Results are announced in obs.yildiz.edu.tr!
Week 13 (13.05.2024): Complete and Particular Solutions by the Method of Separation of Variables
[Slide]
Week 14 (20.05.2024): Midterm Make-Up on KMB-320, Lecture (Turkish Session) on KMB-224
[In Lecture Notes]
Course Evaluation
Midterms: 60 %
Final: 40 %
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