EEE225  Engineering Mathematics I [Differential Equations] (20212022 Fall)
Office Hours by Reservation via email

Venue: Room 210, West Wing, Prefab Building

Date&Time: Will be announced in response to email reservation
Course

Venue: Class D102, M2 Building

Date&Time: 13:1517:00 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 DEs, FirstOrder Ordinary Differential Equations (ODEs), SecondOrder Linear ODEs, HigherOrder Linear ODEs, The Laplace Transform, Systems of FirstOrder ODEs, Partial DEs and Series Solutions.
Lecture Notes

Introduction to DEs

FirstOrder Linear ODEs

SecondOrder Linear Homogeneous ODEs

SecondOrder Linear Nonhomogeneous ODEs

HigherOrder Linear ODEs

The Laplace Transform: Homogeneous ODEs

The Laplace Transform: Nonhomogeneous ODEs

Midterm Examination

Systems of FirstOrder ODEs: Numerical Integration Methods

Systems of FirstOrder ODEs: Homogeneous LTI Systems

Systems of FirstOrder ODEs: Nonhomogeneous Linear Systems

Partial DEs: Wave Equation

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

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

Final Examination
Homeworks
Exams

Week 9: Midterm Examination

Week 16: Final Examination
Announcements