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TB Advance Calculus 1.2 , Edition-3
SYLLABUS- ADVANCE CALCULUS, Section A Limit and Continuity of functions of two variables, Partial Differentiation Euler’s Theorem on Homogeneous Functions, Total Derivative, Change of Variables, Expansions of Functions of Two Variables, Taylor’s Theorem and Maclaurin’s Theorem, Jacobian, Envelopes and Evolutes, Maxima and Minima of Functions of Two Variables. Section B Beta and Gamma Functions, Multiple Integrals Change of Order of Integration in Double Integral, Area and Volume by Double Integration. Triple Integral, Dirichlet’s Integral, Liouvelle’s Theorem.