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EEE225 - Engineering Mathematics I [Differential Equations] (2021-2022 Fall)

Office Hours by Reservation via e-mail

  • Venue: Room 210, West Wing, Prefab Building

  • Date&Time: Will be announced in response to e-mail reservation

Course

  • Venue: Class D102, M2 Building

  • Date&Time: 13:15-17:00 on Mondays

  • Objectives: This course aims to teach students differential equations (DEs) and their applications in electrical and electronic engineering along with other engineering disciplines.

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

Lecture Notes

  1. Introduction to DEs

  2. First-Order Linear ODEs

  3. First-Order Nonlinear ODEs

  4. Second-Order Linear Homogeneous ODEs

  5. Second-Order Linear Nonhomogeneous ODEs

  6. Higher-Order Linear ODEs

  7. The Laplace Transform: Homogeneous ODEs

  8. The Laplace Transform: Nonhomogeneous ODEs

  9. Midterm Examination

  10. Systems of First-Order ODEs: Numerical Integration Methods

  11. Systems of First-Order ODEs: Homogeneous LTI Systems

  12. Systems of First-Order ODEs: Nonhomogeneous Linear Systems

  13. Partial DEs: Wave Equation

  14. Partial DEs: Power Series Solutions (Bessel Equations and Functions)

  15. Partial DEs: Laplace's Equation, Orthogonal Functions, and Fourier Series

  16. Final Examination

Homeworks

  1. Introduction to Differential Equations

  2. First-Order Linear ODEs

  3. First-Order Nonlinear ODEs

  4. Second-Order Linear Homogeneous ODEs

  5. Second-Order Linear Nonhomogeneous ODEs

  6. Higher-Order Linear ODEs

Exams

  • Week 9: Midterm Examination

  • Week 16: Final Examination

Announcements