Course #:

MATH 301

Title:

Methods of Applied Mathematics

Textbook:

Advanced Engineering Mathematics by Zill and Wright (Fifth Edition)

Week

Date

Sec.

Topics

Suggested Homework Problems

9.1

Vector Functions

1,12,16,17,21,26,33, 41

9.5

The Directional Derivative

2,7,9,14,17,21,23,32,29

1

June 7 – 11

9.7

Curl and Divergence

2,6,10,14,1722,27

9.8

Line Integrals

2,6,8,11,16,19,24,28,33

9.9

Independence of the Path

1,10,15,18,21,26

2

June 14 –18

9.12

Green’s Theorem

2,4,6,9,18,23,25

9.13

Surface Integrals

2,5,10,13,18,22,25,33

9.14

Stokes’ Theorem

1,3,6,8,13,17

Exam I : Sunday 21 June, after Taraweeh prayer

9.16

Divergence Theorem

2,4,7,11,14

3

June 21 –25

4.1

Definition of the Laplace transform

1,5,14,26,30,37,43

4.2

Inverse Transform, Transforms of Derivatives

2,10,19,22,24,32,35

4.3

Translation Theorems

2,8,13,20,24,31,37,48,55,63

4.4

Additional Operational Properties

1,10,16,22,27,31,38,46

4

June 28 –

4.5

The Dirac Delta Function

1,4,8,12

July 2

12.1

Orthogonal Functions

2,6,11,13

12.2

Fourier Series

1,6,12,17,20

Exam 2 : Monday 6 July, after Taraweeh prayer

5

July 5 –9

12.3

Fourier Cosine and Sine Series

1,8,12,16,25,35,38

12.5

Sturm-Liouville Theorem

2,4,6,12

Ramadhan Break : 10 – 25 July

Bessel and Legendre Series

2,4,6,8,15,20

12.6

July 26 –30

13.1

Separable Partial Differential Equations

2,8,12,16,22,26,27

6

13.3

Heat Equation

2,3,6

13.4

Wave Equation

1,6,9,16,23

Exam 3 : Sunday 2 August

13.5

Lap lace’s Equation

2,4,7,10,14

7

August 2 –6

14.2

Problems in Cylindrical Coordinates

2,4,9,12

14.3

Problems in Spherical Coordinates

2,5,11,12

15.2

Applications of the Laplace Transform

2,4, 10,14,18,24

8

Aug. 9 –11

15.3

Fourier Integral

1,4,10

15.4

Fourier Transforms

1,6,10,12,16

Final Exam : Thursday, August 13, 2015, 07:00 PM