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1.1 Infinite series: Tests for convergence of series (Comparison, Ratio, Root, Integral, Raabe's, logarithmic)
1.2 Alternating series, Absolute convergence, Conditional convergence
2.1 Differential & Integral Calculus of single variable: Taylor's & MaClaurin's expansion, Radius of curvature, Tracing of some standard curves
2.2 Applications of definite integral to Area, Arc length, Surface area and volume (in cartesian, parametric and polar co-ordinates)
3.1 Calculus of several variables: Partial differentiation, Euler's theorem
3.2 Total differential, Taylor's theorem
3.3 Maxima-Minima, Lagrange's method of multipliers
3.4 Application in estimation of error and approximation
4.1 Multiple Integrals: Double integral (Cartesian and polar co-ordinates), Change of order of integration
4.2 Triple integrals (Cartesian, cylindrical and spherical co-ordinates)
4.3 Beta and Gamma functions, Applications of multiple integration in area and volume
5.1 Vector Differential Calculus: Continuity and differentiability of vector functions, Scalar and Vector point function
5.2 Gradient, Directional Derivative, Divergence, Curl and their applications
6.1 Vector Integral Calculus: Line integral, Surface integral and Volume integral
6.2 Applications to work done by the force, Applications of Green's, Stoke's and Gauss divergence theorems
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CategoriesEngineering Mathematics
Format EPUB
TypeeBook