Assoc. Prof. Kasım Zor

YZZ201 - Differential Equations (Autumn Term)

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Course Information

• Venue: Class Z3, Department Floor, Annex Building, Faculty of Arts and Sciences

• Date&Time: 09:15-12:00 on Thursdays

• Objectives: This course aims to teach students differential equations (DEs) and their applications in artificial intelligence and machine learning along with several engineering disciplines.

• Contents: Introduction to DEs, First-Order Ordinary Differential Equations (ODEs), Second-Order Linear ODEs, Higher-Order Linear ODEs, The Laplace Transform, Systems of First-Order ODEs, Partial DEs and Series Solutions.

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Lecture Notes​

1. Course Introduction and Scope

2. Introduction to DEs

3. First-Order Linear ODEs

4. First-Order Nonlinear ODEs

5. Second-Order Linear Homogeneous ODEs

6. Second-Order Linear Nonhomogeneous ODEs

7. Higher-Order Linear ODEs

8. The Laplace Transform for Homogeneous ODEs

9. The Laplace Transform for Nonhomogeneous ODEs

10. Systems of First-Order ODEs: Homogeneous

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Homeworks

1. ​​Differentiation and Integration

2. Classification of DEs

3. First-Order Linear ODEs

4. First-Order Nonlinear ODEs

5. Second-Order Linear Homogeneous ODEs

6. Second-Order Linear Nonhomogeneous ODEs

7. Higher-Order Linear ODEs

8. The Laplace Transform for Homogeneous ODEs

9. The Laplace Transform for Electric Circuits

10. Systems of First-Order ODEs: Homogeneous

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Exams

• Week 9: Midterm Examination (2022) (2021)

• Week 16: Final Examination (2023) (2022)

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