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VECTOR CALCULUS COMPLETE LECTURE NOTES MATHEMATICS SUBJECT-MATHEMATICS YEAR-2025 COURSE-VECTOR CALCULUS PROFESSOR-MURUGAN.D Vector Calculus is the study of vector fields and multivariable functions. It extends basic calculus to higher dimensions, involving concepts like gradient, divergence, and curl. It focuses on how vectors change across space and includes operations like line, surface, and volume integrals. Key theorems—Green’s, Stokes’, and Gauss’s—relate these integrals to each other. Widely used in physics and engineering, Vector Calculus helps model fluid flow, electromagnetism, and more.
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