CONCORDIA UNIVERSITY
Department of Electrical and Computer Engineering

ELEC 261: Complex Variables

(Summer 2006)

 

INSTRUCTOR:

 

Dr. M. R. Soleymani, Office: EV-5.157, Telephone: 848-2424 ext. 4103

Office Hours: Monday, Wednesday, 14:00 to 15:00.

 

TEXT:

  • Dennis G. Zill and Michael R. Cullen, Advanced Engineering Mathematics, 2nd. Edition, Jones and Bartlett Publishers, 2000.

COURSE OUTLINE:

  • Functions of Complex Variables: Complex Numbers, Powers and Roots, Sets of Points in the Complex Plane, Functions of Complex Variables, Cauchy-Reimann Equations, Exponential and Logarithmic Functions, Trigonometric and Hyperbolic Functions (Chapter 17, 4 Lectures).
  • Integration in the Complex Plane: Contour Integrals, Cauchy-Goursat Theorem, Independence of Path, Cauchy’s Integral Formula (Chapter 18, 3 Lectures).
  • Series and Residues: Sequences and Series, Taylor Series Laurent Series, Zeros and Poles, Residues and Residue Theorem (Chapter 19, 4 Lectures).
  • The Laplace Transform: Laplace Transform, Inverse Laplace Transform, Properties of Laplace Transform, Dirac Delta Function (Chapter 4, 2 Lectures).

CLASS NOTES:

·  Lecture 1:

·  Lecture 2:

·  Lecture 3:

·  Lecture 4:

·  Lecture 5:

·  Lecture 6:

·  Lecture 7:

·  Lecture 8:

·  Lecture 9:

·  Lecture 10:

·  Lecture 11:

·  Lecture 12:

·  Lecture 13:

·  Old Exams:

GRADING SCHEME:

  • Quiz: 10%.
  • Midterm (Sunday July 30, 10:00 to 12:00): 25%. 
  • Final: 65%.

 

A+

> 90%

A

> 85%

A-

> 80%

B+

> 75%

B

> 70%

B-

> 67%

C+

> 63%

C

> 60%

C-

> 58%

D+

> 55%

D

> 50%

D-

> 48%

F

48%

IMPORTANT NOTES:

·        In order to pass the course, you should get at least 50% in the final.

·        Failing to write the midterm results in losing the 25% assigned to the midterm. In the case of a medical emergency, the student may be given the permission to re-write the midterm.

LIST OF ASSIGNMENTS

·        Chapter 17

 

Section

Page

Problems

17.1

793

12, 16, 20, 30, 32

17.2

797-798

7, 10, 11, 15, 17, 23, 30, 33

17.3

800

5, 9, 14, 22

17.4

806

24, 30

17.5

811

9, 12, 15, 26

17.6

817-818

12, 14, 25, 29, 35, 41, 44

17.7

821

3, 11, 14, 15, 18

 

·        Chapter 18

 

Section

Page

Problems

18.1

832

4, 10, 21, 25

18.2

837

4, 11, 13, 17, 19

18.3

843

9, 15

18.4

848

7, 14, 20, 23

 

·        Chapter 19

 

Section

Page

Problems

19.1

793

12, 16, 20, 30, 32

19.2

797-798

7, 10, 11, 15, 17, 23, 30, 33

19.3

800

5, 9, 14, 22

19.4

806

24, 30

19.5

811

9, 12, 15, 26

 

·        Chapter 4

 

Section

Page

Problems

4.1

195

10, 14, 32

4.2

205

7, 11, 13, 35

4.3

212

16, 23, 27

4.4

222-224

1, 7, 19, 23

4.5

227

1, 7