EE206: Differential Equations and Transform Methods

Lecturer: Prof. Jiri Vala

Office:1.7A, Department of Theoretical Physics, Science Building, North Campus

E-Mail:jiri DOT vala AT mu DOT ie

Timetable for lectures:

Tuesdays 14:05 - 15:55 JHL5

Thursdays 12:05 - 12:55 PCT

Tutor: Ms. Aoibhinn Gallagher

Office:1.2A, Department of Theoretical Physics, Science Building, North Campus

E-Mail: aoibhinn DOT gallagher AT mu DOT ie

Timetable for tutorials:

Wednesday 11:05 - 11:55 E2.07

Wednesday 12:05 - 12:55 E2.07

Course Requirements

• 80% written examination at the end of the first semester (duration: 120 minutes)
• 20% continuous assessment including weekly homeworks & quizzes

Course Syllabus

• Differential equations
• Laplace transform
• Fourier transform
• Z-transform

Primary texts that the lectures are based on

D. G. Zill, W. S. Wright, M. R. Cullen, Advanced Engineering Mathematics,  (4th edition, Jones and Bartlett Publishers, 2009)

E. Kreyszig, , Advanced Engineering Mathematics,  (10th edition, John Wiley and Sons, 2011)

Lecture notes

1. Introduction to EE206
2. Introduction to differential equations
3. First-order ordinary differential equations
4. Higher-order ordinary differential equations
5. Laplace transform I
6. Laplace transform II
7. Laplace transform III
8. Fourier series and transform I
9. Fourier series and transform II
10. Fourier series and transform III
11. Z transform I
12. Z transform II

Assignments & Solutions

1. Assignment 1
2. Assignment 1 - Solutions
3. Assignment 2
4. Assignment 2 - Solutions
5. Assignment 3
6. Assignment 3 - Solutions
7. Assignment 4
8. Assignment 4 - Solutions
9. Assignment 5
10. Assignment 5 - Solutions
11. Assignment 6
12. Assignment 6 - Solutions
13. Assignment 7
14. Assignment 7 - Solutions
15. Assignment 8
16. Assignment 8 - Solutions
17. Assignment 9
18. Assignment 9 - Solutions
19. Assignment 10
20. Assignment 10 - Solutions