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EEE225 - Engineering Mathematics I [Differential Equations] (Archived Course)

Course Information

  • Venue: N/A

  • Date&Time: N/A

  • 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. 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

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

Exams

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

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

Announcements

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