Further Engineering Mathematics: Programmes and ProblemsThe purpose of this book is essentially to provide a sound second year course in mathematics appropriate to studies leading to BSc Engineering degrees. It is a companion volume to "Engineering Mathematics" which is for the first year. An ELBS edition is available. |
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Page 496
... evaluate the integral from A ( 1 , 3 , 2 ) to B ( 2 , 4 , 1 ) . 2. Determine whether dz = 3x2 ( x2 + y2 ) dx + 2y ( x3 + y * ) dy is an exact differential . If so , determine z and hence evaluate sc dz from from A ( 1 , 2 ) to B ( 2 , 1 ) ...
... evaluate the integral from A ( 1 , 3 , 2 ) to B ( 2 , 4 , 1 ) . 2. Determine whether dz = 3x2 ( x2 + y2 ) dx + 2y ( x3 + y * ) dy is an exact differential . If so , determine z and hence evaluate sc dz from from A ( 1 , 2 ) to B ( 2 , 1 ) ...
Page 743
... Evaluate Vds over the curved surface . e fr S 11. A surface S is defined by y2 + z = 4 and is bounded by the planes x = = 0 , x = 3 , y = 0 , z = 0 in the first octant . Evaluate S V ds over this curved surface where V denotes the ...
... Evaluate Vds over the curved surface . e fr S 11. A surface S is defined by y2 + z = 4 and is bounded by the planes x = = 0 , x = 3 , y = 0 , z = 0 in the first octant . Evaluate S V ds over this curved surface where V denotes the ...
Page 881
... Evaluate f ( z ) dz where ƒ ( z ) = = 5z - 2 - j3 ( zj ) ( z - 1 ) around the closed contour c for the two cases when ( a ) c is the path | z | = 2 ( b ) c is the path | z — 1 | = 1 . 5z + j 6. If f ( z ) = evaluate f ( z ) dz along the ...
... Evaluate f ( z ) dz where ƒ ( z ) = = 5z - 2 - j3 ( zj ) ( z - 1 ) around the closed contour c for the two cases when ( a ) c is the path | z | = 2 ( b ) c is the path | z — 1 | = 1 . 5z + j 6. If f ( z ) = evaluate f ( z ) dz along the ...
Contents
Theory of Equations Part 2 | 43 |
Partial Differentiation | 91 |
Integral Functions | 145 |
Copyright | |
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a₁ b₁ b₂ c₁ c₂ coefficients cosh cosine curl F curve curvilinear coordinates defined Determine dx dy dx² dy dx Evaluate exact differential Example expression F.dr Fourier series frame function f(x function values gives grad graph Green's theorem harmonic inverse transforms k₁ k₂ Laplace transform line integral matrix method nx dx obtain odd function parametric equations partial fractions Pdx Qdy periodic function plane polar coordinates programme region Revision Summary roots scalar sin nx sin² sinh solution Solve the equation stationary values substitute surface Test Exercise theorem U₁ variables vector field w-plane x₁ xy-plane Y₁ zero δε δυ бу дг дг ди ди др ду ди ду ду дф дф дх ду дг მა