Krishna’s ME Differential Calculus | Code- 627 | 15th Edition | 640+ Pages (Mathematics for B.Sc. and Competitive Exams Book 14)

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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.

Integral Calculus

Unit- 4(b): Reduction formulae, Beta and Gamma functions.

Unit-5: Quadrature. Rectification. Volumes and surfaces of solids of revolution,

Pappus theorem, Double and triple integrals, Change of order of integration,

Dirichlet’s and Liouville’s integral formulae.
ASIN ‏ : ‎ B08YWB5GSJ
Publisher ‏ : ‎ Krishna Prakashan Media Pvt Ltd – Since 1942 (A Unit of THE KRISHNA GROUP) (12 March 2021)
Language ‏ : ‎ English
File size ‏ : ‎ 10.3 MB
Enhanced typesetting ‏ : ‎ Not Enabled
X-Ray ‏ : ‎ Not Enabled
Word Wise ‏ : ‎ Not Enabled
Format ‏ : ‎ Print Replica
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