Mathematics Optional - Calculus & Real Analysis
Taught by Venkanna Sir and Satya Sir
Complete 6 months course with 3 views per video. Available in English & Hindi (Hinglish).
Total Duration: 74 Hours
Enroll Now ₹12,000Taught by Venkanna Sir and Satya Sir
Complete 6 months course with 3 views per video. Available in English & Hindi (Hinglish).
Total Duration: 74 Hours
Enroll Now ₹12,000Real numbers, functions of a real variable, limits, continuity, differentiability, mean value theorem, Taylor's theorem with remainders, indeterminate forms, maxima and minima, asymptotes; Curve tracing; Functions of two or three variables, partial derivatives, maxima and minima, Lagrange's method, Jacobian, definite and improper integrals, double and triple integrals, areas and volumes.
Scalar and vector fields, gradient, divergence, curl in Cartesian and cylindrical coordinates; vector identities; application to curves in space, curvature, torsion; Serret-Frenet's formulae; Gauss, Stokes', and Green's theorems.
Real number system, sequences, Cauchy sequence, convergence of series, continuity, uniform continuity, Riemann integrals, improper integrals, theorems of calculus, uniform convergence of sequences and series of functions, partial derivatives of functions of several variables, maxima and minima.
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