Sec. |
Section Title |
Homework |
Solutions | |
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 |
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9.8 9.9 |
Line Integrals Line Integrals Independent of the Path |
5,10,16,22,30 7,15,18,23,28 |
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9.12 9.13 |
Green’s Theorem Surface Integrals |
2,6,17,25 3,11,26,33 |
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9.14 9.16 |
Stokes’ Theorem Divergence Theorem |
3,6,14,17 2,4,11 |
|
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 |
4.1 sol | |
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 |
4.3 sol | |
12.1 12.2 |
Orthogonal Functions Fourier Series |
6,12,16,18 4,6,16,20 |
12.1 sol | |
12.3 12.4 |
Fourier Cosine and Sine Series Complex Fourier Series |
4,6,14,16,26,38 2,4,6,11 |
12.3 sol | |
12.5 |
Sturm-Liouville Theorem |
2,4,6,8,14 |
12.5 sol | |
12.6 |
Bessel and Legendre Series |
2,4,6,8,10,20 |
12.6 sol | |
13.1 13.3 |
Separable Partial Differential Equation Heat Equation |
2,10,14,18,20,24,28 2,4,6,8,10 |
13.1 sol | |
13.4 13.5 |
Wave Equation Laplace’s Equation |
2,4,6,8,10,11 2,4,8,10,14 |
13.4 sol | |
14.2 14.3 |
Problems in Polar and Cylindrical Coordinates Problems in Spherical Coordinates |
2,4,8,10 4,6,12 |
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15.2 |
Applications of the Laplace Transform |
6,8,10,14,28 |
15.2 sol | |
15.3
|
Fourier Integral Theorem,
|
4,8,12,18
|
15.3 sol | |
15.4 |
Fourier Transforms |
6,10,12,18 |
15.4 sol |