Krishna's TB Differential Calculus - 25th Edition: (Text Book for Under Graduates)

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English | 2020 | ASIN : B08CZ72SWS | 335 pages | PDF | 5.89 MB

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SYLLABUS- DIFFERENTIAL CALCULUS, Differential Calculus
Unit-1: Definition of the limit of a function, Continuous functions and
classification of discontinuities, Differentiability, Chain rule of Differentiability,
Rolle’s theorem, First and second mean value theorems, Taylor’s theorems with
Lagrange’s and Cauchy’s forms of remainder, Successive differentiation and
Leibnitz’s theorem.
Unit-2: Expansion of functions (in Taylor’s and Maclaurin’s series),
Indeterminate forms, Partial differentiation and Euler’s theorem, Jacobians.
Unit-3: Maxima and Minima (for functions of two variables), Tangents and
normals (polar form only), Curvature, Envelopes and evolutes.
Unit-4(a): Asymptotes, Tests for concavity and convexity, Points of inflexion,
Multiple points, Tracing of curves in Cartesian and Polar coordinates.