Department of Mathematical Sciences, KFUPM |
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Math 301 Syllabus (061) |
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Dr. Faisal A. Fairag |
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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. Sturm-Liouville theory. Fourier series and transforms. Introduction to partial differential equations and boundary value problems. |
Wk |
Date |
Sec. |
Section Title |
Homework |
1 |
Sep. 9-14* |
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. 16-20 |
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. 30-Oct .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 |
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5 |
Oct .7-11 |
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 al-Fitre Vacation: October 12, 2006 – October 27, 2006 |
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6 |
Oct. 28-Nov.1 |
12.1 12.2 |
Orthogonal Functions Fourier Series |
6,12,16,18 4,6,16,20 |
7 |
Nov.4-8 |
12.3 12.4 |
Fourier Cosine and Sine Series Complex Fourier Series |
4,6,14,16,26,38 2,4,6,11 |
8 |
Nov.11-15 |
12.5 |
Sturm-Liouville Theorem |
2,4,6,8,14 |
9 |
Nov.18-22 |
12.6 |
Bessel and Legendre Series |
2,4,6,8,10,20 |
10 |
Nov.25-29 |
13.1 13.3 |
Separable Partial Differential Equation Heat Equation |
2,10,14,18,20,24,28 2,4,6,8,10 |
11 |
Dec. 2-6 |
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 |
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12 |
Dec. 9-13 |
14.2 14.3 |
Problems in Polar and Cylindrical Coordinates Problems in Spherical Coordinates |
2,4,8,10 4,6,12 |
13 |
Dec.16-20 |
15.2 |
Applications of the Laplace Transform |
6,8,10,14,28 |
Id al-Adha Vacation: December 21, 2006-January 5, 2007 |
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14 |
Jan. 6-10 |
15.3
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Fourier Integral Theorem,
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4,8,12,18
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15 |
Jan.13-17 |
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 |