Multivariable Calculus

Multivariable Calculus

Dive into an extensive 16-hour course on multivariable calculus taught by Dr. Gajendra Purohit. Explore vector calculus, including vector point functions, differentiation, gradient, divergence, and curl. Learn about line integrals, Green's theorem, Stoke's theorem, and Gauss divergence theorem. Study maxima and minima of multivariable functions, partial differentiation, and Jacobian transformations. Delve into partial differential equations, covering various forms and solution methods. Investigate complex analysis, including analytic functions, Cauchy-Riemann equations, and contour integration. Master techniques for calculating volumes and surface areas of solids of revolution, as well as multiple integrals. Examine Taylor series expansions for multivariable functions, limits, continuity, and differentiability. Gain a comprehensive understanding of advanced calculus concepts through numerous examples, solutions, and important theorems.