In this video, we discuss Cauchy–Goursat Theorem, also known as Cauchy’s Fundamental Theorem of Complex Analysis, which is one of the most important results in Complex Analysis for M.Sc. Mathematics Semester-1. The lecture includes: Statement of Cauchy–Goursat Theorem Conditions for analyticity Importance and applications in complex integration Exam-oriented explanation Suitable for all Indian universities (DU, BHU, JNU, JMI, AMU, CUET-PG, State Universities) This topic is the foundation for: Cauchy Integral Theorem Cauchy Integral Formula Morera’s Theorem 📌 Recommended for: M.Sc. Mathematics | Semester-1 | Complex Analysis | NET/GATE/CUET-PG aspirants #CauchyGoursatTheorem #CauchysFundamentalTheorem #ComplexAnalysis #MScMathematics #ComplexIntegration #Semester1Mathematics #UniversityMathematics #NETMathematics #GATEMathematics #CUETPG