3 hours/week Credit : 3
Differential
Calculus:
Limit, Continuity and differentiability, n-th derivatives of standard function,
Leibnit'z theorem. Rolle's theorem. Mean value theorem. Expansion in finite and
infinite forms. Indeterminate from. Partial differentiation, Eular's theorem.
Tangent and Normal. Subtangent and subnormal in partial and polar co-ordinates.
Maxima and minima and functions of single variables Curvature.
Integral Calculus : Integration by parts,
Standard integrals, Integration by the method of successive reduction. Definite
integrals. Improper integrals. Beta function. Gama function. Multiple
integrals. Area. Volume of Solids of revolution.
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