Prof.Dr. Özgür YILDIRIM

MAT1072  SAMPLE EXAM QUESTIONS and power point presentations

MATHEMATICS-2 (MAT1072 ) SOME NOTES

Merhaba Arkadaşlar,

Hepinize 2023-2024 Eğitim Yılı hayırlı olsun. Danışmanınız olarak 18.10.2023 Çarşamba günü sizlerle E-2000 nolu derslikte toplantı planladım. Toplantıda sizlere genel bilgilendirme yapacağım ve sizlerin istek ve şikayetlerini dinleyeceğim. Ayrıca her Çarşamba 13:00-13:30 arası ofisimde olacağım. Görüşmek isteyen arkadaşlar gelebilirler.

Katılımınızı rica ederim.

Başarılar

Dear All,

Write at least two problems and solutions about each of the subjects below. The homework must be prepared in Latex or Microsoft Word (docx) format. Equations must be written using the equation editor or MathType in Word or Latex. Equations in photo format are not accepted. Homeworks consisting of all the same examples and the same solutions will not be accepted

Homework must be uploaded to the YTU online system in a Microsoft Word document. The deadline is 12.06.2023 till 23:59 (Final exam day). Assignment after the deadline will not be accepted.

Midterm Exam : %30, Percentage of Homework: %30, Final Exam: %40

1.      First-order partial differential equations (Integral Curves)

2.      First-order partial differential equations (Integral Surfaces)

3.      First-order partial differential equations (Vector Fields)

4.      First-order partial differential equations (Lagrange Charpit Method)

5.      Second order PDEs, Separation of variables method

6.      Second Order Linear PDEs (Canonical Forms)

7.      Second Order Linear PDEs (D’Alembert Formula and solution method)

8.      Parabolic (Heat) equation (Uniqueness, Energy method)

9.      Parabolic (Heat) equation (Maximum principle)

10. Parabolic (Heat) equation (Fundamental solution)

11. Laplace’s equations (Fundamental Solutions)

12. Poisson’s equation (Fundamental solution)

13. Poisson’s equation (Green functions)

14. Initial and boundary value problems for wave equation

15. Wave equations (Energy estimates)

Dear All,

Write at least two problems and solutions about each of the subjects below. The homework must be prepared in Latex or Microsoft Word (docx) format. Equations must be written using the equation editor or MathType in Word or Latex. Equations in photo format are not accepted. Homeworks consisting of all the same examples and the same solutions will not be accepted

Homework must be uploaded to the YTU online system in a Microsoft Word document. The deadline is 12.06.2023 till 23:59 (Final exam day). Assignments after the deadline will not be accepted.

Midterm Exam : %30, Percentage of Homework: %30, Final Exam: %40

1.      First-order partial differential equations (Integral Curves)

2.      First-order partial differential equations (Integral Surfaces)

3.      First-order partial differential equations (Vector Fields)

4.      First-order partial differential equations (Lagrange Charpit Method)

5.      Second order PDEs, Separation of variables method

6.      Second Order Linear PDEs (Canonical Forms)

7.      Second Order Linear PDEs (D’Alembert Formula and solution method)

8.      Parabolic (Heat) equation (Uniqueness, Energy method)

9.      Parabolic (Heat) equation (Maximum principle)

10. Parabolic (Heat) equation (Fundamental solution)

11. Laplace’s equations (Fundamental Solutions)

12. Poisson’s equation (Fundamental solution)

13. Poisson’s equation (Green functions)

14. Initial and boundary value problems for wave equation

15. Wave equations (Energy estimates)

Dear All,

I have attached the PDE lecture notes. The password will be shared by email through OBS.

Best

Dear All,

MAT2171 Differential Equations I course syllabus are attached below.

Best regards

Linear Algebra Course Contents MAT1320

Mathematics 1 Course Contents MAT1071