Evaluation Policy                                                         King Fahd University of Petroleum and Minerals

Department of Mathematical Sciences

 

SYLLABUS

 

Semester I, 2004-2005 (041)

Dr. F.D. Zaman

 

 

Course #

Math 301

Title

Methods of Applied Mathematics

Textbook

Advanced Engineering Mathematics by Zill and Cullen (Second Edition, 1999) Jones and Barlett Publishers.

 

Wk

Date

Sec.

Material

Homework

1

Sept 11-15

9.1

9.5

9.7

Vector Functions

The Directional Derivative

Divergence and Curl

4,12,20,26,28,41

4,8,10,14,22,30

4,14,24,28

2

Sept 18-22

9.8

9.9

Line Integrals

Line Integrals Independent of the Path

6,10,16,30

6,15,18,24,28

3

Sept 25-30*

9.12

9.13

Green’s Theorem

Surface Integrals

3,6,18,25

3,10,26,33

4

Oct 02-06

9.14

9.16

Stokes’ Theorem

Divergence Theorem

3,6,14,17

2,4,11

5

Oct  09-13

4.1

4.2

Definition of the Laplace transform

Inverse Transform, Transforms of Derivatives

4,6,18,25,30,38,40(a)

5,12,16,19,35,37

 

 

 

Wednesday, October 13, Major Exam # 1

 

6

Oct 16-20

4.3

4.4

4.5

Translation Theorems

Additional Properties

Dirac Delta Function

8,13,20,24,38,47,60,66

6,16,19(c),23,34,39,45

4,8,12

7

Oct 23-27

12.1

12.2

Orthogonal Functions

Fourier Series

6,12,16,18

4,6,16,20

8

Oct 30-Nov 03

12.3

12.4

Fourier Cosine and Sine Series

Complex Fourier Series

4,6,14,16,26,38

2,4,6,11

 

 

 

Eid Al-Fitr Vacation Thu. Nov. 04-19, 2004

 

9

Nov 20-24

12.5

Sturm-Liouville Theorem

2,4,6,8,14

10

Nov 27-Dec 01

12.6

Bessel and Legendre Series

2,4,6,8,10,20

 

 

 

Wednesday, Dec. 1,  Major Exam# 2

 

11

Dec 04-08

13.1

13.3

Separable Partial Differential Equation

Heat Equation

2,10,14,18,20,24,28

2,4,6,8,10

12

Dec 11-15

13.4

13.5

Wave Equation

Laplace’s Equation

2,4,6,8,10

2,4,8,10,14

13

Dec 18-22

14.2

14.3

Problems in Polar and Cylindrical Coordinates

Problems in Spherical Coordinates

2,4,8,10

4,6,12

14

Dec 25-29

15.2

Applications of the Laplace Transform

6,8,10,14,28

15

Jan 01-03

15.3

15.4

Fourier Integral Theorem

Fourier Transforms

4,8,12,18

6,10,12,18

 

Ø                  *Thursday, September 30 Normal Wednesday classes.

Ø                  Last day for dropping courses with grade of “W”:  October 26, 2004.

Ø                  KFUPM Attendance Policy will be enforced.

Ø                  Final Exam (Comprehensive), to be announced by the Registrar.

Ø                  Office: 5-430 (Ph# 2189)

Ø                  E-mail: fzaman@kfupm.edu.sa

Ø                  http.//faculty.kfupm.edu.sa/math/fzaman/