Department of Mathematical Sciences, KFUPM 

Math 301 Syllabus (061) 

Dr. Faisal A. Fairag 

Course Title: 
Methods of Applied Mathematics 
Textbook: 
Advanced Engineering Mathematics by Zill and Cullen (2nd Edition, 1999) 
Course Description: 
Special functions. Bessel’s functions and Legendre polynomials. Vector analysis including vector fields, divergence, curl, line and surface integrals, Green’s, Gauss’ and Stokes’ theorems. Systems of differential equations. SturmLiouville theory. Fourier series and transforms. Introduction to partial differential equations and boundary value problems. 
Wk 
Date 
Sec. 
Section Title 
Homework 
1 
Sep. 914* 
9.1 9.5 9.7 
Vector Functions The Directional Derivative Divergence and Curl 
3,11,20,25,28,41 3,6,9,13,21,30 8,14,23,30 
2 
Sep. 1620 
9.8 9.9 
Line Integrals Line Integrals Independent of the Path 
5,10,16,22,30 7,15,18,23,28 
3 
Sep. 25**27 
9.12 9.13 
Green’s Theorem Surface Integrals 
2,6,17,25 3,11,26,33 
3b 
Contd 
9.14 9.16 
Stokes’ Theorem Divergence Theorem 
3,6,14,17 2,4,11 
4 
Sep. 30Oct .4 
4.1 4.2 
Definition of the Laplace transform Inverse Transform, Transforms of Derivatives 
3,5,17, 29,38,40(c) 5,13,15,19,35,36 
First Major Exam: Monday, Oct. 9, 2006 

5 
Oct .711 
4.3 4.4 4.5 
Translation Theorems Additional Properties Dirac Delta Function 
8,13,20,24, 47,60,66 5,16,19(b),23,34, 45 4,8,12 
Eid alFitre Vacation: October 12, 2006 – October 27, 2006 

6 
Oct. 28Nov.1 
12.1 12.2 
Orthogonal Functions Fourier Series 
6,12,16,18 4,6,16,20 
7 
Nov.48 
12.3 12.4 
Fourier Cosine and Sine Series Complex Fourier Series 
4,6,14,16,26,38 2,4,6,11 
8 
Nov.1115 
12.5 
SturmLiouville Theorem 
2,4,6,8,14 
9 
Nov.1822 
12.6 
Bessel and Legendre Series 
2,4,6,8,10,20 
10 
Nov.2529 
13.1 13.3 
Separable Partial Differential Equation Heat Equation 
2,10,14,18,20,24,28 2,4,6,8,10 
11 
Dec. 26 
13.4 13.5 
Wave Equation Laplace’s Equation 
2,4,6,8,10,11 2,4,8,10,14 
Second Major Exam: Monday,Dec. 11, 2006 

12 
Dec. 913 
14.2 14.3 
Problems in Polar and Cylindrical Coordinates Problems in Spherical Coordinates 
2,4,8,10 4,6,12 
13 
Dec.1620 
15.2 
Applications of the Laplace Transform 
6,8,10,14,28 
Id alAdha Vacation: December 21, 2006January 5, 2007 

14 
Jan. 610 
15.3

Fourier Integral Theorem,

4,8,12,18

15 
Jan.1317 
15.4 
Fourier Transforms 
6,10,12,18 
*Thursday 14 September is a normal Saturday class
**Saturday 23 September is a national holiday.
Final examination shall be comprehensive.
slides 