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Complex Variable-Integration

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B.tech 3rd semester maths note module 4 (MAT201) University:KTU This course introduces basic ideas of partial differential equations which are widely used in the modelling and analysis of a wide range of physical phenomena and has got application across all branches of engineering. To understan...

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  • June 19, 2024
  • 8
  • 2023/2024
  • Class notes
  • Avinash
  • All classes
  • Secondary school
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S3 MATHS

KTU 2019(common for all)


MODULE 4
(Complex Variable-Integration)
Complex integration, Line integrals in the complex
plane, Basic properties, First evaluation method-
indefinite integration and substitution of limit, second
evaluation method-use of a representation of a path,
Contour integrals, Cauchy integral theorem (without
proof) on simply connected domain,Cauchy integral
theorem (without proof) on multiply connected
domain Cauchy Integral formula (without proof),
Cauchy Integral formula for derivatives of an analytic
function, Taylor's series and Maclaurin series.,

, Cauchy's Integral Soimula
Qnd on
wttho
anaQytrc
S9 Scz) d 2 4 ang Po
and
ceted cuaue c
mbla
Cnstel e than
Scz dz o
-Zo
2TTC
c dz 2R SCzo)

Cachy emiga Scimula fo dezluatiue o
anatytie unetton
dz 2e p'c)
-20
2T Cz)
2




Sc- dz 2 ScE)
(z-2)
achys Cniegaa thectam
s fcz ana c c a sim

Connected doma D the ol eve
es
closed PodR e D
Bmpa
fca dzso

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